Table of contents: # Topic N. of Pages 1 Literature survey 1 2 Hysys process description 26 3 Equipment design 72 4 Environmental, safety and economics analysis 427 Kuwait University College of Engineering & Petroleum CHEMICAL ENGINEERING DEPARTMENT Literature survey Production of Aniline [by vapor phase catalytic reduction of nitrobenzene] Abdulaziz Alshomer 208113942 YousifAlmuneefi AbdulhameedAlawadhi Hasanbu-Taleb Hussainbu-Taleb 208112671 208115609 207216952 207217011 Instructed by: Dr.Faheem 9/23/2012 1 Table of Content: # Topic Pages 1 List of Tables 3 2 List of Figures 5 3 Introduction 5 4 History 6 5 World Production and Consumption 6 Uses 7 Feedstock and product Description 10-20 8 Process Flow Sheet 21-29 9 Comparison flow sheets 30 10 Basic economic analysis 31 11 Conclusion 32 12 Recommended flow sheet 32 13 References 33 7-9 9 2 List of Tables: # Topic Pages Table (1-1) Aniline Global supply and demand 7 Table (1-2) Aniline supply and demand in U.S 7 Table (1-3) Aniline supply and demand in china 8 Table (1-4) Aniline’s china consumption capacity 9 Table (1-5) Aniline Uses 9 Table (1-6) Physical and chemical properties of Benzen 10 Table (1-7) Physical and chemical properties of Nitrobenze 11 Table (1-8) Physical and chemical properties of ammonia 12 Table (1-9) Physical and chemical properties of phenol 12 Table (1-10) Physical and chemical properties of Hydrogen 13 Table (1-11) Physical and chemical properties of water 14 Table (1-12) Physical and chemical properties of Nitric Acid 15 Table (1-13) Physical and chemical properties of sulfuric acid 16 Table (1-14) Physical and chemical properties of iron 17 Table (1-15) Physical and chemical properties of Hydrochloric Acid 18 Table (1-16) Physical and chemical properties of ferric chloride 19 Table (1-17) Physical properties of aniline 20 Table (1-18) Name and description unit 26 Table (1-19) Feedstock condition 26 Table (1-20) Product condition 26 Table (1-21) Name of stream 27 Table (1-22) Alternative #1 30 Table (1-23) Alternative #3 30 Table (1-24) Comparison between the alternatives 30 Table (1-25) Cost of materials 31 3 List of Figures: # Topic Pages Figure (1-1) Structure of Aniline 5 Figure (1-2) World consumption of Aniline-2010 8 Figure (1-3) Process flow sheet of the production of aniline by Ammonolysis of Phenol 21 Figure (1-4) Process flow sheet of the production of aniline by liquid phase reduction of nitrobenzene 23 Figure (1-5) Process flow sheet of the production of aniline by vapor phase reduction of nitro benzene 25 4 Introduction: Aniline, phenylamine or aminobenzene is a colorless organic compound (aromatic amine) which has the formula C6H5NH2. It contains two groups (phenyl group and amino group) linked together. Aniline is toxic by inhalation of the vapor and by skin absorption.It is flammable liquid that is slightly soluble in water and soluble in alcohol and ether. Aniline is a primary amine in which one of hydrogen atoms in the ammonia molecule is exchanged by the phenyl group. The simplest way to write the structure of aniline is: Figure(1-1) Structure of Aniline It is a main material that is used in chemical industries; also it has a fish rotten like smell. History: Aniline was first isolated from the destructive distillation of indigo in 1826 by crystalline. In 1834, Friedrich Rungeisolated a substance from coal tar which produced a beautiful blue color on treatment with chloride of lime, which he named kyanol or cyanol. In 1841, C. J. Fritzsche showed that by treating indigo with caustic potash it producesoil, which he named aniline. 5 About the same time N. N. Zinin found that on reducing nitrobenzene, a base was formed which he named benzidam. August Wilhelm von Hofmann investigated these variously prepared substances, and proved them to be identical (1855), and since then they took their place as one body, under the name aniline or phenylamine. The first industrial-scale use was in the manufacture of mauveine, a purple dye discovered in 1856 by William Henry Perkin. One of aniline derivatives called (p-Toluidine), can be used in qualitative analysis to prepare carboxylic acid derivatives. Developments in medicine In the late 19th century, aniline emerged as an analgesic drug, its cardiacsuppressive side effects countered with caffeine. World production& Consumption of Aniline: * World production: MDI [methylene diphenyldisocyanate] has been the driving force behind the recovery of the aniline business since 1982 when the industry had acapacity utilization rate of less than 50%. By 1996‚ capacity utilization hadapproached 95% in some regions. Thecapacity ofworld production ofanilinein 1999 was found in these regions: Western Europe - 47%‚ North America -30% and Asia / Pacific 19%. million ton/year 1.5 2.2 2.9 2.97 4 Year 1988 1996 1996 2000 2010 Table (1-1) Aniline Global supply and demand1 6 Historicalproduction in the United States is summarized in Table 1-1. Millions of Pounds Type 1995 1996 1997 1998 1999 2000 2001 Capacity 1380 1420 1535 1745 1745 2310 2310 Total prod. 1388 1395 1339 1545 1588 1866 1975 Imports - 24 60 42 26 11 12 Exports 67 41 19 43 38 58 65 Demand 1321 1378 1380 1544 1574 1819 1922 Table (1-2) Aniline supply and demand in U.S2 Year ton/year 1996 142,700 2000 200,000 2004 435,000 2005 620,000 Table (1-3) Aniline supply and demand in china3 World consumption of Aniline: western europe china united states japan Rep.of korea Central/Eastern Europe India Central/South africa other Figure (1-2) World consumption of Aniline-2010 7 World consumption of aniline grew at an average annual rate of 3% during 2006–2010, the result of a growing global economy during 2001–2008, declines during the economic recession in 2009 and the recovery in 2010, and growth due to increased MDI capacity. Strong Asian demand for all applications of MDI boosted world demand during 2006–2010. World consumption of aniline is forecast to grow at an average annual rate of 3.8% during 2010–2015. Continuing rapid demand growth in some regions, particularly in China, Other Asia and Europe, mainly the result of continued expansion of nitrobenzene/aniline/MDI units, will balance out moderate growth in markets such as the Americas. Chinas consumption structure of aniline is different from developed countries, primarily used in rubber processing additives, dyes and organic pigments, pharmaceuticals and organic intermediates production. Year consumption(kt) 1993 100 1999 148.4 2000 177.9 2004 387 2010 1100 Table (1-4)Aniline’s china consumption capacity4 Uses Aniline is mainly used as feed stock for the polyurethane industry. The largest application of aniline is for the preparation of methylene diphenyldisocyanate(MDI).Other uses include rubber processing chemicals (9%), herbicides (2%), and dyes and pigments (2%).Many drugs can be prepared from aniline such as paracetamol(acetaminophen)and used in the dye industry as a precursor to indigo. 8 Application % Isocyanate 85% Rubber Chemicals 9% Agricultural Chemicals – Pesticides 3% Dyes & Pigments 2% Specialty Fibers 1% Miscellaneous 1% Table (1-5)Aniline Uses5 Feed stock & product description: Benzene: Molecular formula C6H6 Molar mass 78.11 g mol−1 Appearance Colorless liquid Density 0.8765(20) g/cm3 Melting point 5.5 °C, 278.7 K Boiling point 80.1 °C, 353.3 K Solubility in water 1.8 g/L (15 °C) Lambda(λ)max 255 nm Viscosity 0.652 cP at 20 °C Dipole moment 0D Table (1-6)Physical and chemical properties of Benzene6 Nitrobenzene: Molecular formula Molar mass C6H5NO2 123.06 g/mol Appearance Density Melting point yellowish liquid 1.199 g/cm3 5.7 °C Boiling point 210.9 °C Solubility in water 0.19 g/100 ml at 20 °C Table(1-7) Physical and chemical properties of Nitrobenzen7 9 Ammonia: Molecular formula NH3 Molar mass 17.031 g/mol Appearance Colourless gas with strong pungent odour Density 0.86 kg/m3 (1.013 bar at boiling point) 0.73 kg/m3 (1.013 bar at 15 °C) 681.9 kg/m3 at −33.3 °C (liquid) 817 kg/m3 at −80 °C (transparent solid) Melting point −77.73 °C, 195 K, -108 °F Boiling point −33.34 °C, 240 K, -28 °F Solubility in water 47% (0 °C) 31% (25 °C) 28% (50 °C) Acidity (pKa) 32.5 (−33 °C), 10.5 (DMSO) Basicity (pKb) 4.75 Structure Molecular shape Trigonal pyramid Dipole moment 1.42 D Thermochemistry Std enthalpy formation ΔfHo298 Standard entropySo298 of molar −46 kJ·mol−1 193 J·mol−1·K−1 Table(1-8) Physical and chemical properties of ammonia8 10 Phenol: Molecular formula C6H6O Molar mass 94.11 g mol−1 Appearance transparent crystalline solid Density 1.07 g/cm3 Melting point 40.5 °C, 314 K, 105 °F Boiling point 181.7 °C, 455 K, 359 °F Solubility in water 8.3 g/100 mL (20 °C) Acidity (pKa) 9.95 (in water) 29.1 (in acetonitrile) Dipole moment 1.7 D Table (1-9)Physical and chemical properties of phenol9 Hydrogen: Molecular H2 Phase gas Density (0 °C, 101.325 kPa) 0.08988 g/L Liquid density at (m.p) 0.07 (0.0763 solid) g·cm−3 Liquid density at (b.p) 0.07099 g·cm−3 Melting point 14.01 K, -259.14 °C, -434.45 °F Boiling point 20.28 K, -252.87 °C, -423.17 °F Triple point 13.8033 K (-259°C), 7.042 kPa Critical point 32.97 K, 1.293 MPa Heat of fusion (H2) 0.117 kJ·mol−1 Heat of vaporization (H2) 0.904 kJ·mol−1 Table (1-10) Physical and chemical properties of Hydrogen10 11 Water: Molecular formula H2O Molar mass 18.01528(33) g/mol Appearance white solid or almost colorless, transparent, with a slight hint of blue, crystalline solid or liquid Density 1000 kg/m3, liquid 917 kg/m3, solid Melting point 0 °C, 32 °F, (273.15 K) Boiling point 99.98 °C, 211.97 °F (373.13 K) Acidity (pKa) 15.74 ~35–36 Basicity (pKb) 15.74 Refractive index (nD) 1.3330 Viscosity 0.001 Pa s at 20 °C (4 °C) (62.4 lb/cu. ft) Table (1-11) Physical and chemical properties of water11 Nitric Acid: Molecular formula HNO3 Molar mass 63.01 g mol−1 Appearance Colorless liquid Density 1.5129 g cm−3 Melting point -42 °C, 231 K, -44 °F Boiling point 83 °C, 356 K, 181 °F (68% solution boils at 121 °C) Solubility in water Completely miscible Acidity (pKa) -1.4 Refractive index (nD) 1.397 (16.5 °C) Dipole moment 2.17 ± 0.02 D Thermo chemistry Std enthalpy of formation ΔfHo298 −207 kJ·mol−1 Standard molar entropySo298 146 J·mol−1·K−1 Table(1-12) Physical and chemical properties of Nitric Acid12 12 Sulfuric Acid: Molecular formula H2SO4 Molar mass 98.079 g/mol Appearance Clear, colorless, odorless liquid Density 1.84 g/cm3, liquid Melting point 10 °C, 283 K, 50 °F Boiling point 337 °C, 610 K, 639 °F Solubility in water Miscible Acidity (pKa) −3, 1.99 Viscosity 26.7 cP (20 °C) Thermo chemistry Std enthalpy formation ΔfHo298 Standard entropySo298 of molar −814 kJ·mol−1 157 J·mol−1·K−1 Table (1-13) Physical and chemical properties of sulfuric acid13 Iron: Molecular formula Fe Density 7.874 g·cm−3 Liquid density at m.p. 6.98 g·cm−3 Melting point 1811 K, 1538 °C, 2800 °F Boiling point 3134 K, 2862 °C, 5182 °F Heat of fusion 13.81 kJ·mol−1 Heat of vaporization 340 kJ·mol−1 Molar heat capacity 25.10 J·mol−1·K−1 Table (1-14) Physical and chemical properties of iron14 13 Hydrochloric acid: Molecular formula HCl Molar mass 36.46 g mol−1 Appearance Colorless gas Odor Pungent Density 1.490 g L−1 Melting point -114.22 °C, 159 K, -174 °F Boiling point -85.05 °C, 188 K, -121 °F Vapor pressure 4352 kPa (at 21.1 °C) Acidity (pKa) -7.0 Basicity (pKb) 21.0 Refractive index (nD) 1.0004456 (gas) Table (1-15) Physical and chemical properties of Hydrochloric Acid15 Ferric chloride: Molecular formula FeCl3 Molar mass 162.2 g/mol (anhydrous) 270.3 g/mol (hexahydrate) Appearance green-black by reflected light; purplered by transmitted light hexahydrate: yellow solid aq. solutions: brown Odor slight HCl Density 2.898 g/cm3 (anhydrous) 1.82 g/cm3 (hexahydrate) Melting point 306 °C (anhydrous) 14 37 °C (hexahydrate) Boiling point 315 °C (anhydrous, decomp) 280 °C (hexahydrate, decomp) (partial decomposition to FeCl2+ Cl2) Solubility in water 74.4 g/100 mL (0 °C) 92 g/100 mL (hexahydrate, 20 °C) Solubility in acetone 63 g/100 ml (18 °C) Methanol highly soluble Ethanol 83 g/100 ml Diethyl ether highly soluble Viscosity 40% solution: 12 cP Table (1-16) Physical and chemical properties of ferric chloride16 Aniline: Molecular formula C6H5NH2 Molar mass 93.13 g/mol Appearance colorless to yellow liquid Density 1.0217 g/mL, liquid Melting point -6.3 °C, 267 K, 21 °F Boiling point 184.13 °C, 457 K, 363 °F Solubility in water 3.6 g/100 mL at 20°C Acidity (pKa) 4.7 Basicity (pKb) 9.3 Thermochemistry Std enthalpy of formation ΔfHo298 -3394 kJ/mol DMSO:dimethylsulfoxide Table (1-17) Physical properties of aniline17 15 Process Flow Sheets: Process 1;Ammonolysis of Phenol 24 14 17 V-100 P-102 21 10 K-100 13 16 CRV-100 9 Amonia 1 MIX-100 phenol 20 19 8 7 2 29 E-100 E-101 27 12 T-100 18 30 E-103 V-101 34 Aniline 27 28 26 11 P-104 T-101 25 31 24 E-104 35 E-102 28 T-102 32 29 P-103 36 33 E-105 37 Figure (1-3) Process flow sheet of the production of aniline by Ammonolysis of Phenol. Process description:The process is divided into three sections: the feed preparation section, the reactor section, and the purification section. In the feed preparation section, The ammonia feed (stream 1) consists of 203 lb-mol/hr liquid ammonia at 90F. The phenol feed (stream 2) supplies 165.8 lb-mol/hr liquid phenol at 110F and atmospheric pressure. The two feed streams are pumped to increase the pressure before they are mixed with their respective recycle streams (stream 16 for ammonia and stream 31 for phenol) by using mixer (MIX-102).(Stream 7) is heated in a heat exchanger (E-100) with the reactor effluent (stream 10). The heat exchanger effluent (Stream 8) is heated to the required reactor temperature for the reactor inlet (stream 9). The reactor 16 section includes the adiabatic reactor (CRV-100) that includes a bed Packed with a silica-alumina catalyst. In the reactor, three reactions occur: Phenol + NH3 ==> Aniline + H2O 2 Phenol + NH3 ==> Diphenylamine + 2 H2O 2 NH3<==> 3 H2 + N2 The conversion of phenol in the reactor is 95% with a 99% selectivity to aniline as shown in the First reaction. The second reaction forms a byproduct (diphenylamine), while the third reaction is the decomposition of ammonia. The reaction set is exothermic, so the stream leaving the reactor (stream 10) is hotter than stream 9. The cooling of the reactor effluent begins with the heat exchanger (E-100) which will be cooled from (stream 10) to (stream 11). After that (stream 11) is sent through a cooler (E-102). The purification section consists of the distillation columns to separate the chemicals into Products and non-products. The absorption column (T-100) separates the gases and the liquids. As a result, all of the hydrogen and nitrogen go to stream13. Moreover, all of the phenol, aniline and diphenylamine go to stream 18. From the absorption column, stream 13 goes to a splitter to split it into stream 14, which is the ammonia recycle stream that will pass through a compressor (K-100) to increase the pressure. On the other hand, the splitter also sends small amount of stream 13 to the gaseous purge (stream 24). The bottoms stream (stream 18) is one of the feeds to the next column (T-101). The distillate (stream19) is cooled by the unit (E-103). Stream 20 is then sent to a separator (V-100) to separate the water and the phenol product. Then, the phenol (stream 21) is recycled to the column (T101) after pressurize it by using (P-102). The aqueous product (stream 24) from V-100 will be treated. The bottoms stream (stream 25) is the feed to the next column (T-102). The main component in the distillate (stream 26) is aniline which should be pumped by (P-104). The resulting stream (stream 17 27) is cooled by (E-104) to produce aniline (Stream 28). Then, (stream 29) should be pumped by (P-103) to get the suitable condition (stream31) for mixing by (MIX-102). The bottoms product (stream 32) is cooled b (E-105) to purchase diphenylamine in (stream 33). Process 2;Liquidphase reduction of nitrobenzene with metal in mineral acids. Sulfuric acid 13 3 Nitric acid 2 9 MIX-100 8 Aniline 12 Benzene 1 14 CRV-101 5 4 15 T-101 V-100 6 CRV-100 nitrobenzene 10 11 V-101 7 T-100 RCY-100 Figure (1-4) Process flow sheet of the production of aniline by liquid phase reduction of nitrobenzene. Process description : First of all, nitric acid and sulfuric acid is mixed together by using an acid mixer(mix-100). the mixed acid and benzene are fed in a nitrate reactor(CRV-100) and the reaction will occur as the following chemical equation :C6H6 +HNO3(H2SO4) C6H5NO2 + H2O(H2SO4) ΔH=-113KJ Then the reactor effluent will enter the separator (V-100) which will separate it into two streams which are crude nitrobenzene and the reactor effluent acid that will be recovered to the reactor feed. The crude nitrobenzene could 18 be washed by using a dilute alkali (V-101) such as water and sodium carbonate and distillated by still distillation column (T-100) to produce a pure nitrobenzene. The crude nitrobenzene will enter a reducer [H2] reactor (CRV-101) with an iron boring catalyst and hydrochloric acid to produce aniline and water which will occur as the following chemical equation:4C6H5NO2 + 9Fe + 4H2O 4C6H5NH2 + 3FeO4 And the effluent nitrobenzene will be recovered to the reducer reactor. The aqueous aniline could be heated by steam to get crude aniline which can be distilled by using still distillation column (T-101) to produce pure aniline. Catalyst Reaction : HCl Yeild : 98% Process 3;Process catalytic reduction of nitrobenzene in a fluidized bed reactor. 8 5 E-102 3 E-101 Water 10 Hydrogen 4 6 V-100 Nitrobenzene 9 7 T-100 4 2CRV-100 1 12 P T-101 11 Aniline K-100 E-100 Figure (1-5) Process flow sheet of the production of aniline by vapor phase reduction of nitro benzene. 19 Name of Unit E-100 CRV-100 E-101 K-100 V-100 T-100 E-102 T-101 Description Nitrobenzene vaporizer Reactor Product Condenser Hydrogen Recycle Compressor Aniline water decanter Crude aniline distillation Condenser Aniline product distillation Table (1-18) Name and description unit Species Flowrate ( million lb/yr) Compostion Temperature (C°) Nitrobenzene 0.1 25 Pressure (atm) Hydrogen 1 - 0.9 25 1 Table (1-19) Feedstock condition Species Flowrate (million lb/yr) Compostion Temperature (C°) Pressure (bar) Aniline 200 0.995 - 1 Water - - 1 - Table(1-20) Product condition Name of stream S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 S12 Description Nitrobenzene Hydrogen Feed Reactor Product Gases Condensed Materials Non-Condensable gas Crude Aniline Aqueous Phase Overheads Bottom Streams Water Aniline product Recycled bottom Table (1-21) Name of stream 20 Process description: The main process for aniline production is the nitrobenzene hydrogenation reactions. Feed preparation section: The liquid nitrobenzene feed (contains less than 10ppm – thiophene) (S1) is vaporized up by going into vaporizer (E-100) to reach the required temperature for the fluidized bed reactor after the mixing point between the nitrobenzene feed (S1) and the hydrogen feed (S2) (which has been compressed by Recycle Compressor) (K-100).Hydrogen to nitrobenzene ratio is 9:1. Reaction section: It includes the fluidized bed reactor (CRV-100) with 10-20% copper by weight on silica catalyst [which is made by spray-drying a silicic acid matrix (20 to 150 micrometer) with a cuprammonium compound and activated in position with hydrogen at 250 C] at 270 C and 1.5 atm, the equation for this process is shown below: C6H5NO2 + 3H2 --------> C6H5NH2 + 2H2O The reaction is highly exothermic with enthalpy (-443 KJ/mol) and approximately 65% of the heat of reaction is removed by circulating a cool fluid (generally water or low pressure steam) through tubes suspended in the fluidized bed. The nitrobenzene vapor-hydrogen mixture (300 percent excess hydrogen) reaction takes place on the surface porous at the bottom of the fluidized bed reactor. The upper part of the reactor is large enough to allow the most of the catalyst to fall back into the main catalyst bed. any catalyst which escapes from the reactor is removed from the product by stainless steel filters.The conversion of the nitrobenzene in the reactor is 99.7% and the selectivity to aniline is 99%. 21 Purification section: The reactor (RCV-100) product gas mixture (aniline , hydrogen and water) (S3) will enter the condenser (E-101)and the leaving gas stream (3.5% water, 0.5% aniline and the balance hydrogen) (S5) which has been recycled to the compressor (K-100), but a small part is vented to avoid the buildup of gaseous impurities which exist in hydrogen feed. Moreover the aqueous and organic phases stream (S4) is separated in a decanter (V-100) which separates the crude aniline (S6) from the aqueous phase solution (S7). The organic phase (crude aniline) is consist of aniline up to 0.5% nitrobenzene, and 5% water is purified by two stage distillation column. After that in the crude still column (T-100) (stripping) ,aniline and water are removed overhead while higher boiling organic impurities, such as nitro-benzene remain in the still bottoms. The overhead product (S9) from the first column is purified in a finishing still (T-101), Water (S10) is withdrawn from the top of the column while aniline (S11) is withdrawn in a side stream near the bottom of the column. The bottom (S12) is recycled to the crude still (T100). Waste treatment: The best method of treating the aqueous waste resulting from the following units (nitrobenzene distillation column overhead(stream8), nitrobenzene wash water(stream7) and the aniline recovery column purge(stream12)), is the biological treatment due to its inexpensive cost and it's high efficiency indicator which could of the toxic nature of the waste which may affect the environment , moreover the physical method that used as stream stripping and liquid-liquid extraction. 22 Catalyst Regeneration. the catalyst can be regenerated with air periodically.At 250-350°C and subsequent H2 treatment. Comparison flow sheets: Alternative 1 Mole M.wt Ib ton Ib/Ib of aniline $/Ib Gross Profit = phenol 1 94 94 0.047 1.01 0.745 -0.428 ammonia 1 17 17 0.0085 0.182 0.289 aniline 1 93 93 0.0465 1 0.38 Water 1 18 18 0.009 0.193 - Table(1-22) Alternative #1 Alternative 2: -There is no enough information to calculate the gross profit for the process. Alternative 3 Mole M.wt Ib Ib/Ib of aniline $/Ib Gross Profit = nitrobenzene 1 123 123 1.322 0.33 0.076 hydrogen 3 2 6 0.064 0..32 aniline 1 93 93 1 0.38 Water 2 18 36 0.387 - Table (1-23) Alternative #3 Alternative 1 2 3 No. of equipment 17 9 8 Catalyst Silica-alumina Iron borings Copper on silica Table(1-24) Comparison between the alternatives 23 Raw Material Phenol + Ammonia Benzene + Nitric acid Nitrobenzene + Hydrogen Basic economic analysis: lb Prices, US$ 460.00745.00 385.81771.62 0.37-0.39 300.00351.00 tonne 85.43 tonne lb ton 93.7 0.33-0.34 1450 57.0085.00 87 94 73.1 94 50.0062.00 25.0030.00 67 215.00225.00 1472.311507.69 1015.381192.31 0.32 Description Weight Ammonia US Gulf, spot c.f.r. Tampa tonne Ammonia Aniline ton lb Ferric chloride Hydrochloric acid Hydrochloric acid Nitrobenzene Sulphuric acid US Gulf, spot f.o.b New Orleans tanks, f.o.b technical grade, 100% basis, tanks, f.o.b. works 22 deg. Be, US Gulf dom. ex-works US NE 22 deg. Be, US Gulf dom. ex-works USG tanks, f.o.b. virgin 100%, tanks, works, East Coast Sulphuric acid Sulphuric acid Sulphuric acid Sulphuric acid Sulphuric acid virgin 100%, tanks, works, Southwest virgin 100%, tanks, works, Midwest virgin 100%, tanks, works, Southeast virgin 100%, tanks, works, West Coast smelter 100% tanks, works, Gulf Coast ton ton ton ton ton Sulphuric acid smelter 100%, tanks, works ton Sulphuric acid Sulphuric acid Nitric acid smelter, tanks, intro. Southeast ton smelter, 93% tanks, dlvd., Northwest ton 40 deg. Be, 42 deg. Be. tanks, c.l., works, 100% basis ton Phenol - ton Benzene Hydrogen gas - ton Ib Table (1-25) Cost of materials 24 Conclusion: We figure out that there are lots of processes to produce aniline. The production of aniline is takes an active part in America and china. Locally aniline production is not exist. At the beginning, aniline was an intermediate substance for (MDS) production, according to this reason it was produced. Recommendation: The process 3 (vapor phase catalytic reduction of nitrobenzene ) is the best alternative for the production of Aniline due to its inexpensive raw materials and its highly profit comparing it to the other two alternatives.NitroBenzene is the classical feedstock for Aniline manufacture. Recently less chlorobenzene and Phenol are being used in aniline manufacturing processes in several countries. 25 References: Web sites; http://www.springerlink.com http://www.mpri.lsu.edu http://www.xakaili.com http://www.thefreedictionary.com http://www.chemicalbook.com http://price.alibaba.com http://www.icis.com http://en.wikipedia.org Books; McGraw-Hill, Shreve’s Chemical Industries, George T.Austin,1984 26 College of Engineering and Petroleum Chemical Engineering Department Plant Design (ChE 491) Hysys Report Production of Aniline Group Members: Abdulaziz Alshomar 208113942 Yosef Almneffi 208112671 Hassan Butaleb 207216952 Hussain Butaleb 207217011 Abdulhameed Alawadhi 208115609 Presented by: Prof. Mohamed A. Fahim Eng. Yusuf Ismail Ali 27 TABLE OF CONTENTS : Page Abstract 2 Table of contents 3 List of Tables 4 Introduction 5 Hysys simulation program 6-11 Process Description 7-44 Process Equipments 45-48 Material Balance 49 28 ABSTRACT : We will used the simulation software hysys to simulate Aniline production from Nitrobenzene by completed material balance, and we will mention in detail about all equipment we used. Data and tables will be mentioned in this report and with comparison between the HYSIS data and measured data. 29 LIST OF TABLES : Contents Page Table-1 : the change of conversion for each reaction in the 21 first reactor Table-2 : Summary of columns 45 Table-3: Summary of reactors 46 Table-4:Summary of Heat Exchanger,Heaters and coolers 46 Table-5:Summary of Compressors 46 Table-4:Summary of Heat Exchanger,Heaters and coolers 46 Table-6: Summary of separator 47 Table-7: Summary of energy streams 47 Table-8: Mass flow for inlet and outlet streams 48 30 Introduction: Aniline is a fuel that is produced from Nitrobenzene and Hydrogen and it is used as feed stock for the polyurethane industry, medical drugs , herbicides , Rubber, dyes and preparation of methylene diphenyldisocyanate (MDI) Reaction Rate: It includes the fluidized bed reactor (CRV-100) with 10-20% copper by weight on silica catalyst [which is made by spray-drying a silicic acid matrix (20 to 150 micrometer) with a cuprammonium compound and activated in position with hydrogen at 250 C] at 270 C and 1.5 atm, the equation for this process is shown below: C6H5NO2 + 3H2 --------> C6H5NH2 + 2H2O The reaction is highly exothermic with enthalpy (-443 KJ/mol) and approximately 65% of the heat of reaction is removed by circulating a cool fluid (generally water or low pressure steam) through tubes suspended in the fluidized bed. The nitrobenzene vapor-hydrogen mixture (300 percent excess hydrogen) reaction takes place on the surface porous at the bottom of the fluidized bed reactor. The upper part of the reactor is large enough to allow the most of the catalyst to fall back into the main catalyst bed. any catalyst which escapes from the reactor is removed from the product by stainless steel filters.The conversion of the nitrobenzene in the reactor is 99.7% and the selectivity to aniline is 99%. 31 HYSYS Simulation Description: Objectives : - To show how to use HYSYS simulation. - Design Chemical plant using HYSYS simulation. -Compare between the measured data and HYSIS data. Introduction: HYSIS Simulation is a very helpful program for engineering to support them to simulate Chemical engineering design in many different ways. HYSYS is a market-leading process modeling system, used by the world’s leading oil and gas organizations to improve every step of the petrochemical industry. Platform for Engineering Optimization HYSYS is a process modeling tool for conceptual design, optimization, business planning, asset management, and performance monitoring for oil & gas production, gas processing, petroleum refining, and air separation industries. It provides these services via a wide variety of internal features and layered applications. Some of the key features include: o Comprehensive toolset for modeling all hydrocarbon processes o Dynamic evaluation of process models o State of the art assay management o Best in class physical properties engine o Integration with Aspen PIMS and Aspen Petroleum Scheduler software o Value-added layered application 32 Getting Started: With windows, the installation process creates a shortcut to HYSYS : Click the icon to start HYSYS Or 1-click on the Start menu 2-Move from Programs to Hyprotech to HYSYS 3- Select HYSYS . Fig 2.1:HYSYS starting window Setting your Session Preferences : 1- To start a new simulation case , do one of the following : - From the File menu, select New Case. - Click the New Case icon and the simulation basis manager will appear Creating a fluid Package The next step is to create a fluid Package .As a minimum , a Fluid Package contains the Components and property method (for example , an Equation of State )HYSYS will use in its calculations for a particular flow sheet . 33 Depending on what is required in a specific flow sheet , a fluid Package may also contain other information such as reactions and interaction parameters . 1- On the Simulation Basis Manager view , click the fluid Pkgs tab. 2- Click the Add button , and the property view for your Fluid Package appears Fig 2.2 : fluid Package We used UNIQUAC as a fluid package for the whole Design and PRSV for The second Distillation. We chose UNIQUAC because the activity coefficients can be used to predict simple phase equilibrium (vapor–liquid, liquid–liquid, solid–liquid), or to estimate other physical properties and also for multicomponent chemical mixtures. Selecting Component: After we choose our fluid package the next step is to show you how I choose my component from feed stock to the products: 1-From Simulation Basis Manager window press view on component List. In the match space we can find our components by three ways: Sim Name : The name appearing within the simulation . 34 Full Name :IUPAC name (or similar ), and synonyms for many components Formula : The chemical formula of the component . Fig 2.3 : Selecting Components Selecting Reaction: From Simulation Basis Manager windows, we go to the bottom tools bar and we press on Reaction. First we put our reaction data (stoichiometry, components in my reaction and conversion percentage) in "Add Rxn". Then we go "Add Set" and put our reaction there. Finally we go to "Add to FP" and we add our reaction set to Fluid Package. The main reaction : C6H5NO2 + 3H2 --------> C6H5NH2 + 2H2O 35 Fig 2.4: Selecting Reaction Entering the simulation Environment : -To leave the Basis environment and enter the Simulation environment, click the enter Simulation Environment button on the Simulation Basis Manager view. Process Description: Stream (1) which is contain nitrobenzene , water , Diphenylamine and benzene. It's enter as a liquid phase in heat exchanger (E-101) at condition at 30C and 14.7 psig to outlet stream (1*) with 177C and 6 psig and vapor phase. It is heated by stream (5**) which leave from the second heat exchanger at 184.4C and leave the (E-101) with Stream (5h2) with 162.9C. 36 Table 1: Mass flow of compressor inlet feed: Components Mass flow( Ib/hr ) Nitrobenzene 15507 Water 15.422 Diphenylamine 19.958 Benzene 0.793 37 Stream (2) is entered with hydrogen and gas impurities at 30C and 14.7 psig with vapor phase and it enter the mixer with the vapor phase recycled stream (8rec) with temperature 116.89C and pressure 45psig. With Composition: 38 And the outlet stream is (2**) in vapor phase with temperature 114C and 14.7 And vapor phase with composition: 39 And the worksheet for this mixer ( mix-101) Then stream (2**) will enter a heat exchanger (E-102) and leave with 114.1C and 14.7 psig and it is heated by stream (5*) which outlet from (MIX-102) with temperature 311.6C and its duty to raise the temperature in stream (2***) to its required temperature 249C. The effluent from (E-102) is stream (5**) is going to unit (E-103) to heat the Feed stream (1). 40 Then Stream (2***) will enter (TEE-101) and leave the unit with two streams. This streams include stream (3) and stream (fired h2). 41 The compositions of this unit is: After that we mix stream (1*) with stream (3) in (C-101) unit to give stream (4) that had hydrogen and nitrobenzene composition which is the feed for reactor. 42 We now Compress stream (4) to be suitable for reaction condition in (K-100) unit. 43 We did not use heater first in stream (4) because compressor process increases the temperature while the main purpose for it is increasing pressure. Stream (4*) is entered to heater to raise the temperature for reaction condition in (E-101) unit. 44 The main target for unit (E-108) is to cool the reactor by circulating tubes around the reactor using branch feed water. 45 Now Stream (fired H2) with temperature 249C will enter a furnace (F-101) to increase its temperature and leave as stream (fired 3) with temperature 315C. This stream will enter a mixer (MIX-102) with the product stream (5) from the reactor. 46 Reaction Section : * The reactor is conversion reaction ( fluidized bed reactor ). * This reactor is neither isobaric nor adiabatic. * The reaction is highly exothermic. * The feed enter as liquid vapor mixture and exit in a vapor phase. 47 There are two outlet streams from the reactor: - stream (L) with zero flow rate because the reactions are in the vapor phase , since the conversion reactor gives us two streams : liquid and vapor. - stream 5 with a temperature = 275 C and pressure =35 psia , and it has a composition mass flow as in the two figures : 48 Now we have Unit (MIX-102) which is the inlet is a mixer for the product stream (5) from the reactor and stream (fired h2) and the outlet is stream (5*) that entered the heat exchanger (E-102). 49 Now we will talk about the Hydrogen Section which is start at the outlet from heat exchanger (E-103) by stream (5h2). This stream is entered a cooler (E-104) and the outlet is stream (5h3), we put an energy to change also the pressure. The stream (5h3) will enter a separator (V-101) and the outlet will be stream (6) and that goes to purification section which will have aniline and water inside it and stream(7) which will have inside it hydrogen and small amount of water. 50 51 After that stream (7) will enter a (Tee-100) and the outlet are stream (9) as a purge because we need to vent a few amount of the recycled hydrogen and the impurities to avoid the build up for the hydrogen feed, and to get rid of the organic phases impurities. And stream (8). 52 Now stream (8) will enter a Compressor (K-101) to increase its Pressure and the outlet is stream (8*). 53 After that stream (8*) will be recycled a(RCY-1) and the outlet is Stream (8rec). This outlet stream will enter a Mixer ( MIX-101) with the hydrogen feed stream (2). Purification Section : Stream (6) will enter a mixer (MIX-104) with other two streams (23.3) and (14.2) and the outlet is stream (6.1). 54 Now Stream (6.1) will enter a three phase separator (V-201) and the outlet streams are stream (vapor) , stream (15) and stream (10). 55 56 Stream (10) will enter a (MIX-103) with stream (17.4) and the outlet stream (11***) will enter a heat exchanger (E-201) and leave after heating at stream (11**). The cooling stream for heat exchanger is stream (13) and the outlet is stream (13.1) as a waste water. 57 After that Stream (11**) will enter a valve (VLV-100) to reduce its pressure and exit as stream (11*) then it enter a Heater (E-202) to increase the exit temperature stream (11). 58 Stream (11) and stream (12) which is pure water will enter a Stripper (C-201) and the outlet will be stream (14) and stream (13) which will enter the Heat exchanger (E-201) as a heating steam. -number of stage =10 - Pressure of the condenser and the reboiler = 15 psia 59 Then Stream (14) will enter a compressor (K-102) and the outlet stream is (14.0) then it enters a Cooler (E-203) and leave as stream (14.1) which will recycled (RCY-2) to stream (14.2) that entered the Mixer (MIX-104). 60 Now Stream (15) will enter a separator (V-202) and the outlet will be stream (15.1) and stream (15.2). 61 Then stream (15.2) will enter a heat exchanger (E-204) and leave with increase in temperature by stream (15.3) then it will enter a distillation Column (C-202) and the outlet streams are stream (16) and stream (17). This Distillation Column (C-202) have: -number of stage = 30 - Pressure of the condenser and the reboiler = 5.6 psia -Reflux Ratio for condenser = 3 -Bottom product Rate (Aniline) = 271.2 lb/hr 62 Stream (17) will enter A compressor (K-203) and leave as stream (17.0) then it is cooled in (E-205) and leave as stream (17.1). 63 64 Then Stream (17.1) will enter a three phase separator (V-204) and leave as stream (Steam injection) , stream (18) and stream (17.3). Stream (17.3) will be recycled (RCY-3) to enter the mixer (MIX-103) by stream (17.4). 65 Now stream (16) will enter a heater (E-212) and the outlet stream (16.) will enter the second Distillation Column (C-203) and the leaving stream (20) and stream (19) wich is contain Nitrobenzene. Information for The second Distillation Column: -number of stage = 50 - Pressure of the condenser and the reboiler = 5.6 psia -Reflux Ratio for condenser = 50 -Distillate Rate (Aniline) = 256.4 lb/hr 66 After that stream (20) will enter a Compressor (K-103) and leave as stream (20.1) then it enters a cooler (E-208) at stream (20.). 67 Then stream (20.) will enter a separator (V-203) and the effluent are stream (20.4) which we will talk about it later as the Aniline product, and stream (21). Then stream(21) will enter a mixer (MIX-105) with stream(22) and the leaving stream is (21.1) 68 Then Stream (21.1) will enter a (TEE-102) and the outlet are stream (24) and stream (23), then stream (23) will enter a valve (VLV-101) to reduce the pressure of the exit stream (23.1). Then stream (23.1) will enter a cooler (E-211) and the leaving stream (23.2) is recycled (RCY-4) to enter the mixer (MIX-104) as stream (23.3). 69 70 Now the final Stream (20.4) which will Enter Heat exchanger (E-204) to heat the feeding stream (15.2) will leave the heat exchanger as stream (20.5) which will enter a cooler (E107) and leave as stream (Product) with aniline composition 98%. 71 72 Process Equipment: 1- Reactors: Table-3: Summary of reactors Reactor Temperature(C) Pressure(psia) R-101 275 35 2- Heat Exchangers , Heater, Furnace and coolers: Unit ΔT (C) E-103 (H.E) 147 E-101 (Cooler) 179.3 E-104 (Cooler) 122.9 E-102 (H.E) 134.9 E-108 (Cooler) 118 F-101 (Furnace) 66 E-201(H.E) 50 E-202 (Heater) 9.01 E-203 (Cooler) 121 E-204 (H.E) 78 E-209 (Cooler) 6.81 E-205 (Cooler) 207.1 E-212 (Heater) 4.6 E-208 (Cooler) 111.9 E-211 (Cooler) 99.4 73 3- Stripper & Distillation Columns: Column name Number of stage Top temperature (C) Bottom temperature (C) Top pressure (psia) Bottom pressure (psia) C-201 10 100.1 100.6 15 15 C-202 C-203 30 50 78.21 150.7 150.4 175.4 5.6 5.6 5.6 5.6 4- Compressors & valves : Unit ΔP(psia) K-100 K-101 K-102 K-201 K-202 V-100 V-101 34 20 10 19.4 34.3 10 15 5- Separators: Unit V-101 V-201 V-202 V-204 V-203 Top flowrate (lb/hr) 82380 0.03132 28870 -3 5.897*10 0.1979 578.2 0 6- Recycles : Unit RCY-1 RCY-2 RCY-3 RCY-4 Flowrate (lb/hr) 82010 5026 2426 360 74 Bottom flowrate (lb/hr) 35660 12170 28870 2426 24030 Energy Consumption : Energy Stream Heat flow Q(KJ/hr) Q1 5.57*106 Q2 8.89*106 Qfired 2.38*107 Q4 6.282*107 Q5 2.7*107 Q7 4.281*105 Q8 3.261*106 Q9 2.577*105 Q10 2.666*105 Q11 5.592*106 Q12 5.456*106 Q13 9.073*105 Q14 4.218*105 Q15 1.345*105 Overall Material Balance : The inlet streams are stream 1 + stream 2 + stream 22 + stream 12 = 34272 + 1977 + 400 + 4697 = 41346 The outlet stream are stream 9 + stream 13.1 + stream 18 + stream 19 + stream 24 + product = 370.72 + 14264 + 578.15953 + 1833.77320 + 40 + 24030.99236 = 41117.64509 75 Mass flow(lb/hr) Stream 1 Stream 2 Stream 12 Stream 22 Stream 9 nitroBZ 34187 - - - Tr H2O 34000 - 4697 400 92.785 H2 - 1829 - - 230.57 Aniline - - - - 14.014 Methane - 29.6 - - 6.5894 Diphenyl amine 44 - - - Tr Benzene 1.75 - - - 0.2233 N2 - 29.6 - - 6.5962 CO - 29.6 - - 6.5952 CO2 - 29.6 - - 6.5677 O2 - 29.6 - - 6.5960 Cyclohexane 1.75 - - - Tr Niacin 1.75 - - - Tr Cyclohexylamine 1.75 - - - Tr Mass flow(lb/hr) Stream 13.1 Stream 18 Stream 19 Stream 24 Stream product nitroBZ 18.246 0.69812 1789.8 - 649.34 H2O 14244 33.374 Tr 40 Tr H2 Tr Tr Tr - Tr Aniline 0.22658 541.22 Tr - 23382 Methane Tr Tr Tr - Tr Diphenyl amine 1.6164 Tr 42.384 - Tr Benzene Tr 1.4128 Tr - Tr N2 Tr Tr Tr - Tr CO Tr Tr Tr - Tr CO2 Tr Tr Tr - Tr O2 Tr Tr Tr - Tr Cyclohexane Tr 0.22713 Tr - Tr Niacin Tr Tr 1.6118 - Tr Cyclohexylamine Tr 1.1802 Tr - Tr 76 Student name :Hassan Ahmed Butaleb ID number : 207216952 Equipment name Equipment number Distillation column C-202 Cooler E-208 Reboiler E-206 Reboiler E-207 Separator V-203 Compressor K-103 Tank T-203 Tank T-202 Distillation column Distillation is a process in which a liquid or vapor mixture of two or more substances is separated into its component fractions of desired purity, by the application and removal of heat. Distillation is based on the fact that the vapor of a boiling mixture will be richer in the components that have lower boiling points. The composition difference of its products depends dissimilar of the volatilities or vapor pressure of the components of the liquid mixture. If such a dissimilar does not exist, then such a separation is not possible. The distillation column operates as follows; the feed in liquid state is introduced continuously at a midpoint in the column. The midpoint divides the column into enriching and stripping sections. By mean of a reboiler located in the bottom of the column, the liquid feed is vaporized. The vapor ascends within 77 the column and contacts with the descending liquid. The plate or the packing in the column allows for a thorough contact of the vapor and liquid. The reminder of the bottom liquid is withdrawn as bottoms. Vapor reaching the top of the column is condensed to liquid in the overhead condenser. A portion of the condensed liquid is returned to the column, known as a reflux liquid. The remainder of the condensate becomes the distillate products. The reboiler vapor and reflux liquid lead to high purity products and provides a much greater recovery of the feed. Vapor and liquid phases on a given tray approach thermal equilibrium to an extent dependent upon the efficiency of the contacting trays. Types of distillation columns: There are many types of distillation columns, each designed to perform specific types of separations, and each design differs in terms of complexity. One way of classifying distillation column type is to look at how they are operated. Thus we have: 78 1- Batch Columns In batch operation, the feed to the column is introduced batch-wise. That is, the column is charged with a 'batch' and then the distillation process is carried out. When the desired task is achieved, a next batch of feed is introduced. 2- Continuous Columns In contrast, continuous columns process a continuous feed stream. No interruptions occur unless there is a problem with the column or surrounding process units. They are capable of handling high throughputs and are the most common of the two types. We shall concentrate only on this class of columns. 3- Column Internals An important aspect of division in distillations is how a distillation column is designed from the inside. Either trays or packing are used to allow the desirable separation. Various types of trays or plates are used for distillation such as: - Bubble cap trays A bubble cap tray has riser or chimney fitted over each hole, and a cap that covers the riser. The cap is mounted so that there is a space between riser and cap to allow the passage of vapor. Vapor rises through the chimney and is directed downward by the cap, finally discharging through slots in the cap, and finally bubbling through the liquid on the tray. 79 Valve trays In valve trays, perforations are covered by liftable caps. Vapor flows lift the caps, thus self-creating a flow area for the passage of vapor. The lifting cap directs the vapor to flow horizontally into the liquid, thus providing better mixing than is possible in sieve trays. Sieve trays Sieve trays are simply metal plates with holes in them. Vapor passes straight upward through the liquid on the plate. The arrangement, number and size of the holes are design parameters. Because of their efficiency, wide operating range, ease of maintenance and cost factors, sieve and valve trays have replaced the once highly thought of bubble cap trays in many applications. 80 Packings There is a clear trend to improve separations by supplementing the use of trays by additions of packings. Packings are passive devices that are designed to increase the interfacial area for vapor-liquid contact. The following picture show different types of packings. These strangely shaped pieces are supposed to impart good vapor-liquid contact when a particular type is placed together in numbers, without causing excessive pressure-drop across a packed section. This is important because a high pressure drop would mean that more energy is required to drive the vapor up the distillation column. Packings Versus Trays Columns Packed Columns Trayed Columns 81 82 Advantages of Using Carbon Steel: Steel is counted to be carbon steel when no minimum content is specified or required for chromium, cobalt, columbium [niobium], molybdenum, nickel, titanium, tungsten, vanadium or zirconium, or any other element to be added to achieve a desired alloying influence; when the specified minimum for copper does not exceed 0.40 percent; or when the maximum content specified for any of the following elements does not exceed the percentages noted: manganese 1.65, silicon 0.60, copper 0.60.As a matter of fact carbon steel has been used widely in construction by the virtue of its suitable properties, and mostly because of it is highly corrosion resistance and it moderate cost The common types of carbon steels types are: a) Plain-Carbon b) Low Carbon Steel c) Medium Carbon Steel d) High Carbon Steels Problems while operating a distillation column: Foaming: Foaming refers to the expansion of liquid due to passage of vapour or gas. Although it provides high interfacial liquid-vapour contact, excessive foaming often leads to liquid buildup on trays. In some cases, foaming may be so bad that the foam mixes with liquid on the tray above. Whether foaming will occur depends primarily on physical properties of the liquid mixtures, but is sometimes due to tray designs and condition. Whatever the cause, separation efficiency is always reduced. 83 Entrainment: Entrainment refers to the liquid carried by vapor up to the tray above and is again caused by high vapor flow rates. It is detrimental because tray efficiency is reduced: lower volatile material is carried to a plate holding liquid of higher volatility. It could also contaminate high purity distillate. Excessive entrainment can lead to flooding. Weeping: This phenomenon is caused by low vapor flow. The pressure exerted by the vapor is insufficient to hold up the liquid on the tray. Therefore, liquid starts to leak through perforations. Excessive weeping will lead to dumping. That is the liquid on all trays will crash (dump) through to the base of the column (via a domino effect) and the column will have to be re-started. Weeping is indicated by a sharp pressure drop in the column and reduced separation efficiency. Flooding: Flooding is brought about by excessive vapor flow, causing liquid to be entrained in the vapor up the column. The increased pressure from excessive vapor also backs up the liquid in the down comer, causing an increase in liquid holdup on the plate above. Depending on the degree of flooding, the maximum capacity of the column may be severely reduced. Flooding is detected by sharp increases in column differential pressure and significant decrease in separation efficiency. 84 Assumptions: 1. Tray column. 2. Sieve plate. 3. Material of the distillation is carbon steel. 4. Plate spacing = 0.3 m 5. Efficiency = 95% 6. Flooding % = 85% 7. Weir height = 45 mm 8. Hole diameter = 4 mm 9. Plat thickness = 5 mm 10.Down comer area 12% of total Nomenclatures Symbol FLv Lw Vw ρv ρL uf u`v Ac Dc Ad An Aa Ah Aap Ap how u`h hd hr hap hdc T P S Ri Ej Cc Definition Liquid vapor flow factor Liquid mass flow rate (kg/s) vapor mass flow rate (kg/s) Vapor density (kg/m 3) Liquid density (kg/m 3) flooding vapor velocity (m/s) flooding at maximum flow rate (kg/s) Total column cross sectional area (m2) Column diameter (m) cross sectional area of down comer (m2) Net area (m2) Active area (m2) Hole area (m2) Clearance area (m2) Perforated area (m2) Weir crest (mm) liquid Min. vapor velocity (m/s) Dry plate drop (mm) Residual head (mm) Out let weir height (mm) Head loss in downcomer (mm) thickness of cylindrical shell (in) maximum allowable internal pressure (psi) maximum allowable working stress (psi) : inside radius of shell (in) efficiency of joint expressed as fraction allowance for corrosion (in) 85 Design Procedures: 1. Specify the properties of outlets streams: (flow rate, density and surface tension) for both vapor and liquid from hysys. 2. Calculate minimum number of trays. 3. Calculate the maximum liquid and vapor outlet flow rate. 4. Choose tray spacing and then determine K1 and K2 using figure (1) from Appendix A. 5. Calculate correction factor for Bottom K1 and Top K1. 6. Design for X% flooding at maximum flow rate for top and bottom part of distillation. 7. Calculate the maximum flow rates of liquid. 8. Calculate Net area required. 9. Take down comer area as %Y of the total column cross sectional area. 10. Calculate the column diameter. 11. Calculate the column height using the actual number of stage. 12. Calculate column area, down comer area, active area, net area, hole area and weir length. 13. Calculate the actual min vapor velocity. 14. Calculate Back-up in down comer. 15. Check residence time. 16. Check entrainment. 17. Calculate number of holes. 18) Calculate area of condenser and re-boiler. 19. Calculate Thickness of the distillation. 86 Distillation Column sample Calculation (T-101) T-101 column properties Top Bottom Unit Vapor rate (Vn) 42 330.07 kmol/hr Mass Density for Vapor ρv 0.2864 1.0337 kg/m3 Molecular Weight (M.Wt) 21.674 113.2 Liquid rate (Ln) 188.58 126 kmol/hr Mass Density for Liquid ρL 973.36 919.4 kg/m3 Molecular Weight (M.Wt) 76.597 95.685 Surface Tension 0.04293 0.029715 N/m Number of Stages: Number of stages 25 Efficiency 0.72 Actual number of stages 35 Column diameter: Liquid vapor flow factor Top Bottom unit Mass Density for Vapor ρv 0.2864 0.2 kg/m3 Mass Density for Liquid ρL 973.36 919.4 kg/m3 Surface tension 0.042 0.0297 N/m 87 Bottom = FLV = (L/V)*(ρv/ ρL)0.5 = 0.0056302 Top = FLV = (L/V)*(ρv/ ρL)0.5 = 0.0770187 Take plate spacing as 0.5 m Figure 3-8 Flooding velocity for sieve plates From the figure above: Base K1 = 0.103 Top K1 = 0.097 Correction for surface tensions Base K1 = 0.1114876 Top K1 = 0.1130103 Flooding velocity: Base = uf = K1((ρL- ρv)/ ρv)0.5 = 7.5581652 (m/s) Top = uf = uf = K1((ρL- ρv)/ ρv)0.5 = 6.5872516 (m/s) Design for 85% flooding at maximum flow rate Base uv = uf*0.85 = 6.4244405 (m/s) Top = uv = uf*0.85 = 5.5991639 (m/s) 88 Maximum volumetric flow rate Bottom = Vmax= Vn*M.Wt/ρv*3600 = 2.2519255 (m3/s) Top = Vmax= Vn*M.Wt/ρv*3600 = 0.0441451 (m3/s) Net area required: Bottom = A=Vmax/uv = 0.4083822 (m2) Top = A=Vmax/uv = 0.0078842 (m2) Taking downcomer area as 12 per cent of total. Column cross-sectional area Base = = 3.2407 /(1 – 0.12 ) = 0.458975 (m2) Top = = 2.5517 /( 1 – 0.12 ) = 0.0089594 (m2) Coloumn diameter: Bottom = D = (Anet *4/π)0.5 = 0.76444 (m) Top = D = (Anet *4/π)0.5 = 0.1068071 (m) Use same diameter above and below feed D = 0.76 (m) = 2.5 (ft) Column Height: Total height = H=(Number of stage * Plate spacing*2)+Column Diameter = 18.1 (m) = 60 (ft) Maximum volumetric liquid rate = 0.003642 (m3/s) 89 = ( LN*M.Wt)/(ρL*3600) Figure 3-9 Selection of liquid flow arrangment From the figure above: Double pass plate is used Provisional plate design: Column diameter = Dc = 0.76 (m) column area = (3.14/4)*(Dc^2) = 0.4589705 (m2) Downcomer area Ad = 0.12 * 0.3983353 = 0.0550765 (m2) Net area = An = Ac – Ad = 0.40389 (m2) Active area = Aa = Ac - 2*Ad = 0.3488176 (m2) Hole area = Ah = 10% of Aa = 0.0348818 (m2) Figure 3-10 Relation between downcomer are and weir length 90 = 12 Lw/Dc = 0.76 Weir Length = lw = 0.58097 (m) Take weir height = hw = 45 (m) Hole diameter (dh) = 4 (mm) Plate thickness = 5 (mm) Check weeping: Maximum liquid rate Lw = (Ln*Mwt)/3600 = 3.348975 (kg/s) Turndown percentage = 0.70 Minimum liquid rate = Lwd *0.7 = 2.3442825 (kg/s) Maximum = how =750*(Lw/(ρLlw))2/3 = 1.18365 (mm liquid ) Minimum = how =750*(Lw/(ρLlw))2/3 = 20.104388 (mm liquid) At minimum rate = hw + how = 65.104388 (mm liquid) Figure 3-11 Weep point correlation (Eduljee, 1959) 91 From the figure above: K2 = 30.6 Minimum vapor velocity through hole: uh (min) = (K2-0.90(25.4-dh))/ρv0.5 = 25.357011 (m/s) Actual minimum vapor velocity = Turn dowd * Max volumetric flow rate (bot) / Ah = 52.070245 (m/s) Plate pressure drop: Dry plate drop Maximum vapor velocity through holes (uh) = Bottom Vmax/Hole uh = 74.386064 (m/s) Figure 3-12 Discharge coefficient, sieve plates (Liebson et al. 1957) 92 From the figure above: Plate thickness / hole dia. = 1.25 Ah x100 0.1 Ap Co 0.86 U hd 51 h Co hr 12.5 x10 3 L 2 V L 0.8300073 mmliquid 13.595823 mmliquid Total plate pressure drop hb hw hdc ht how 60.606733 mmliquid Down comer liquid back-up: Downcomer pressure loss Take hap hw 10 45 10 35mm Area under apron Aap weirlengthxhap 0.0203342 m2 2 As this is less than Ad 0.055076 m use Aap in the next equation for hdc 2 max .liquid rate 0.05326779 hdc 166 mm xA L ap Back-up in downcommer hb hw hdc ht how 106.869011mm 0.106969011(m) Residence Time tr hb xAd x L 1.616 s Lwd 93 Check Entrainment UV volumetric flowrate 6.424 m / s An Percent Flooding UV x100% 85% Uf FLV ( Bottom) 0.0056302 Figure 3-13 Entrainment correlation for sieve plates (Fair, 1961) 94 From the figure above: ψ = 0.02 , well below 0.1 Perforated area: Figure 3-14 Relation between angle subtended by chord, chord height and chord length From the figure above: at lw 0.76 Dc 95 Angle subtended by the edge of the plate = 81 Mean length, unperforated edge strips = 1.010026 m Area of unperforated edge strips= 0.046806 m2 Mean length of calming zone,approx = 0.503513 m Area of calming zones = 0.050351 m2 Total area for perforations, Ap = 0.205578 m 2 Ah / Ap 0.14726 m 2 95 Figure 3-15 Relation between hole area and pitch From the figure above: l p / d h 2.25 satisfactory within 2 to 4 Number of holes: 2 2 Area of one hole = d h 1.257 *10^ 5m Number of holes = Aa/0.00001 = 2409 hole Area of condenser Inlet temperature T1 134.7 Co Outlet temperature T2 78.2 Co Mean overall heat transfer coefficient U 1000 W/m2.Co Heat flow Q 2.81 *106 KW 96 AC Q 49.6m 2 UT Area of reboiler Inlet temperature T1 150.2 Co Outlet temperature T2 150.4 Co Mean overall heat transfer coefficient U 1200 W/m2.Co Heat flow Q 2.81 * 106 KW Ab Q 15575.0 m 2 UT Thickness Calculations: Internal raduis of shell before allowance corrosion is added ri 14.018967 in Maximum allowable internal pressure P 25 psi Working stress for carbon steel S 13700 psi Efficincy of joients EJ 0.85 Allowance for corrosin Cc 0.125 Pri CC 0.155 in 3.9mm t SEj 0.6 P 97 in Equipment Name Drying Column Objective Separate Aniline Equipment Number C-202 Designer Hassan Ahmed Butaleb Type Continuous Tray Distillation Column Location After Aniline Stripper (C-100) Material of Construction Carbon steel Insulation Mineral wool Operating Condition Key Components Light Aniline Heavy Operating Temperature (oC) 113 Operating Pressure (kpa) 172.37 Feed Flow Rate (kg/h) 12539 Diameter (m) 0.71 Height (m) 19.7 Thickness (mm) 3.9 98 Hydrogen Compressor A gas compressor is a mechanical device that increases the pressure of a gas by reducing its volume. Compression of a gas naturally increases its temperature. Compressors are similar to pumps: both increase the pressure on a fluid and both can transport the fluid through a pipe. As gases are compressible, the compressor also reduces the volume of a gas. Liquids are relatively incompressible, so the main action of a pump is to transport liquids. Types of compressors:The main types of gas compressors are discussed below in the table Compressor Positive Displacement Dynamic Rotary Centrifugal Reciprocating Axial Centrifugal compressors: Centrifugal compressors use a vane rotating disk or impeller in a shaped housing to force the gas to the rim of the impeller, increasing the velocity of the gas. A diffuser section converts the velocity energy to pressure energy. They are primarily used for continuous, stationary service in industries such as oil refineries, chemical and petrochemical plants and natural gas processing plants. Their application can be from 100 hp (75 kW) to thousands of horsepower. With multiple staging, they can achieve extremely high output pressures greater than 10,000 psi (69 MPa). Many large snowmaking operations use this type of compressor. They are also used in internal combustion engines as superchargers and turbochargers. Centrifugal compressors are used in small gas turbine engines or as the final compression stage of medium sized gas turbines. 99 General components of a Centrifugal Pump Axial Compressors: Axial-flow compressors are dynamic rotating compressors that use arrays of fan-like aerofoil to progressively compress the working fluid. They are used where there is a requirement for a high flow rate or a compact design. Stationary stator vanes, located downstream of each rotor, redirect the flow onto the next set of rotor blades. The area of the gas passage diminishes through the compressor to maintain a roughly constant axial Mach number. Axial-flow compressors are normally used in high flow applications, such as medium to large gas turbine engines. They are almost always multi-staged. Beyond about 4:1 design pressure ratio, variable geometry is often used to improve operation. Axial compressors can have high efficiencies; around 90% polytrophic at their design conditions. However, they are relatively expensive, requiring a large number of components, tight tolerances and high quality materials. Axial-flow compressors can be found in medium to large gas turbine engines, in natural gas pumping stations, and within certain chemical plants. Axial compressors are widely used in gas turbines, such as jet engines, high speed ship engines, and small scale power stations. They are also used in industrial applications such as large volume air separation plants, blast 100 furnace air, fluid catalytic cracking air, and propane dehydrogenation. Axial compressors, known as superchargers, have also been used to boost the power of automotive reciprocating engines by compressing the intake air, though these are very rare. A good example of an axial supercharger is the aftermarket Latham type built between (1955-65), which were used on hot rods and air cooled Volkswagens at that time, but these didn't catch on. Axial-flow compressor Reciprocating compressor: A reciprocating compressor or piston compressor is a positive-displacement compressor that uses pistons driven by a crankshaft to deliver gases at high pressure. The intake gas enters the suction manifold, then flows into the compression cylinder where it gets compressed by a piston driven in a reciprocating motion via a crankshaft, and is then discharged. We can categorize reciprocating compressors into many types and for many applications. Primarily, it is used in a great many industries, including oil refineries, gas pipelines, chemical plants, natural gas processing plants and refrigeration plants. One specialty application is the blowing of plastic bottles made of Polyethylene Terephthalate 101 Reciprocating compressor Rotary screw compressors: Rotary screw compressors use two meshed rotating positive-displacement helical screws to force the gas into a smaller space. These are usually used for continuous operation in commercial and industrial applications and may be either stationary or portable. Their application can be from 3 hp (2.24 kW) to over 500 hp (375 kW) and from low pressure to very high pressure (>1200 psi or 8.3 MPa). Rotary vane compressors: Rotary vane compressors consist of a rotor with a number of blades inserted in radial slots in the rotor. The rotor is mounted offset in a larger housing 102 which can be circular or a more complex shape. As the rotor turns, blades slide in and out of the slots keeping contact with the outer wall of the housing. Thus, a series of decreasing volumes is created by the rotating blades. Rotary Vane compressors are, with piston compressors one of the oldest of compressor technologies. With suitable port connections, the devices may be either a compressor or a vacuum pump. They can be either stationary or portable, can be single or multi-staged, and can be driven by electric motors or internal combustion engines. Dry vane machines are used at relatively low pressures for bulk material movement whilst oil-injected machines have the necessary volumetric efficiency to achieve pressures up to about 13 bar in a single stage. A rotary vane compressor is well suited to electric motor drive and is significantly quieter in operation than the equivalent piston compressor. Rotary vane compressors 103 Applications: Gas compressors are used in various applications where either higher pressures or lower volumes of gas are needed: In pipeline transport of purified natural gas to move the gas from the production site to the consumer. In petroleum refineries, natural gas processing plants, petrochemical and chemical plants, and similar large industrial plants for compressing intermediate and end product gases. In storing purified or manufactured gases in a small volume, high pressure cylinders for medical, welding and other uses. In many various industrial, manufacturing and building processes to power all types of pneumatic tools. In pressurized aircraft to provide a breathable atmosphere of higher than ambient pressure. In some types of jet engines (such as turbojets and turbofans) to provide the air required for combustion of the engine fuel. The power to drive the combustion air compressor comes from the jet's own turbines, In SCUBA diving, hyperbaric oxygen therapy and other life support devices to store breathing gas in a small volume such as in diving cylinders. In submarines, to store air for later use in displacing water from buoyancy chambers, for adjustment of depth. In turbochargers and superchargers to increase the performance of internal combustion engines by increasing mass flow. 104 In rail and heavy road transport to provide compressed air for operation of rail vehicle brakes or road vehicle brakes and various other systems. Nomenclature: Symbol Nomenclature K the heat capacity ratio P1 the inlet pressure in psi P2 the discharge pressure in psi m n the mass flow rate in kg/s polytropic exponent T1 The inlet temperature in R T2 The discharge temperature in R ZC is the average compressibility factor. Hp horse power, Hp M molar flow rate, lbmol/s W work done, Btu/lbmol Ep effeciency of the compressor Cp heat capacity, Btu/lb F 105 Design Procedure: 1. Calculate the compression factor using the following equation: n P1 T1 n 1 , P2 T 2 Where P1,2 is the pressure of inlet and outlet respectively (psia), And T1,2 is the temperature of the inlet and outlet respectively (R). 2. Calculate the work done in Btu/lbmol by: W nR (T 1 T 2 ) , 1 n Where R is the ratio of the specific heat capacities (Cp/Cv). 3. Calculate the horse power, Hp using the following equation: Hp=W*M, Where M is the molar flow rate in lbmol/s. 4. Calculate the efficiency of the compressor using the following equation: Ep n K n 1 , K 1 Where K MwC p MwC p 1.986 and Mw is the molecular weight of the gas in the stream and Cp is the specific heat capacity (Btu/lboF). 106 Calculation: 1. ln ( P1 / P2 ) = ln ( 14.7 / 35 ) = -0.867500568 ln ( T1 / T2 ) = ln ( 536.67 / 735.21) = -0.314772792 n/(n-1) = ln(P1/P2) / ln(T1/T2) = 0 n = 1.569489731 2. w = ( 1.569489731 * 1.3986 * ( 536.67 - 735.21 ))/( 1 - 1.569489731 ) = 765.2690028 ( Btu / lbmol ) 3. Hp = 765.2690028 * 0.048611111 = 50.0347 4. k = ( 28.85 * 6.9675 ) / ( 28.85 * 6.9675 – 1.986 ) = 1.009978577 Ep = (1.569489731 / ( 1.569489731 – 1 )) * (1.009978577-1)/( 1.009978577) *100 Ep = 2.722883313 % Specification sheet for Air compressor(K-103) Equipment Name Compressor Objective To increase the pressure Equipment Number K-103 Designer Hassan Ahmed Butaleb Type Centrifugal Compressor Material of Construction Carbon steel Insulation Quartz wool Operating Condition Inlet Temperature (R) 536.67 Outlet Temperature (R) 735.21 Inlet Pressure (psia) 14.7 Outlet Pressure (psia) 35 Efficiency (%) 2.722883313 % Power (Hp) 50.0347 107 Heat Exchanger: Introduction: A heat exchanger is a device built for efficient heat transfer from one medium to another, whether the media are separated by a solid wall so that they never mix, or the media are in direct contact. They are widely used in space heating, refrigeration, air conditioning, power plants, chemical plants, petrochemical plants, petroleum refineries, and natural gas processing. One common example of a heat exchanger is the radiator in a car, in which the heat source, being a hot engine-cooling fluid, water, transfers heat to air flowing through the radiator. Heat exchanger has a barrier which separates the fluids and permits heat to flow from the hotter to the colder stream without mixing of the streams. The shell and tube heat exchanger provides comparatively large ratios of heat transfer are to volume and weight. It provides this surface in a form which is relatively easy to construct in a wide range of sizes and which is mechanically rugged enough to withstand normal fabrication stress and normal operating conditions. There are many modifications of the basic configuration which can be used to solve special problems. The shell and tube heat exchanger can be reasonably easily cleaned. Finally good design methods exist, and the expertise and the shop facilities for successful design and construction of shell and tube exchangers are available thought the world. 108 Types of heat exchangers: Plat heat exchanger Another type of heat exchanger is the plate heat exchanger. One is composed of multiple, thin, slightly-separated plates that have very large surface areas and fluid flow passages for heat transfer. This stacked-plate arrangement can be more effective, in a given space, than the shell and tube heat exchanger. Advances in gasket and brazing technology have made the plate-type heat exchanger increasingly practical. In HVAC applications, large heat exchangers of this type are called plate-and-frame; when used in open loops, these heat exchangers are normally of the casketed type to allow periodic disassembly, cleaning, and inspection. There are many types of permanentlybonded plate heat exchangers, such as dip-brazed and vacuum-brazed plate varieties, and they are often specified for closed-loop applications such as refrigeration. Plate heat exchangers also differ in the types of plates that are used, and in the configurations of those plates. Some plates may be stamped with "chevron" or other patterns, where others may have machined fins and/or grooves. 109 Plate heat exchanger Phase-change heat exchangers In addition to heating up or cooling down fluids in just a single phase, heat exchangers can be used either to heat a liquid to evaporate it or used as condensers to cool a vapor and condense it to a liquid. In chemical plants and refineries, reboilers used to heat incoming feed for distillation towers are often heat exchangers. Distillation set-ups typically use condensers to condense distillate vapors back into liquid. Power plants which have steam-driven turbines commonly use heat exchangers to boil water into steam. Heat exchangers or similar units for producing steam from water are often called boilers or steam generators 110 Spiral heat exchangers A spiral heat exchanger may refer to a coiled tube configuration, more generally, the term refers to a pair of flat surfaces that are coiled to form the two channels in a counter-flow arrangement. Each of the two channels has one long curved path. A pair of fluid ports is connected tangentially to the outer arms of the spiral, and axial ports are common, but optional. The main advantage is highly efficient use of space. This attribute is often leveraged and partially reallocated to gain other improvements in performance, according to well known tradeoffs in heat exchanger design. (A notable tradeoff is capital cost vs. operating cost.) A compact spiral heat exchanger may be used to have a smaller footprint and thus lower all-around capital costs, or an over-sized may be used to have less pressure drop, less pumping energy, higher thermal efficiency, and lower energy costs. spiral heat exchanger Shell and tube heat exchanger The tubes are the basic component of the shell and tube exchanger. They provide heat transfer surface between one fluid flowing inside the tubes and the other fluid flowing across the outside of the tubes. They are made of copper and steel alloys. Other alloys of nickel, titanium, or aluminum may also be used. The shell is simply the container for the shell side fluid and the nozzles are the inlet and exit ports. The shell normally has a circular cross section and is commonly made by roiling a metal plate of appropriate 111 dimensions into a cylinder into a cylinder and welding the longitudinal joint. In large exchangers, the shell is made out of low carbon steel wherever possible for reasons of economy, through other alloys can be and is used when corrosion or high temperature strength demands must be met. Baffles: Baffles serve two functions: - They support the tubes in the proper position during assembly and operation and prevent vibration of the tubes caused by flow-induced eddies. - They guide the shell side flow back and forth across the tube field, increasing the velocity and the heat transfer coefficients. The most common baffle shape is the single segment. The segment sheared off must be less than half of the diameter in order to insure that adjacent baffles overlap at least one full tube row. For liquid flows on shell side, a baffle cut of 20 to 25 percent of the diameter is common; for low pressure gas flow, 40 to 50 percent is more common in order to minimize pressure drop. For many high velocity gas flow s, the single segment baffle configuration results in an undesirably high shell side pressure drop. One way to retain the structural advantages of the segment baffle and reduce the pressure drop is to use the double segment baffle. It halves the local velocity and therefore reduces the pressure drop by a factor of 4 from a comparable size single segment unit. Applications Shell and tube heat exchangers are frequently selected for such applications as: Process liquid or gas cooling. Process or refrigerant vapor or steam condensing. 112 Process liquid, steam or refrigerant evaporation. Process heat removal and preheating of feed water. Thermal energy conservation efforts, heat recovery. Compressor, turbine and engine cooling, oil and jacket water. Hydraulic and lube oil cooling. Selection of heat exchanger type: The selection process normally includes a number of factors, all of which are related to the heat transfer application. These factors include, but not limited to, the following items: 1. Thermal and hydraulic requirements. 2. Material compatibility. 3. Operational maintenance. 4. Environmental, health, and safety considerations and regulations. 5. Cost. Design parameter The critical design factors for a heat exchanger application are: flow rate, temperature, pressure drop, heat needed to be transferred. Selection of tube material To be able to transfer heat well, the tube material should have good thermal conductivity. Because heat is transferred from a hot to a cold side through the tubes, there is a temperature difference through the width of the tubes. Because of the tendency of the tube material to thermally expand differently at various temperatures, thermal stresses occur during operation. This is in addition to any stress from high pressures from the fluids themselves. The tube material also should be compatible with both the shell and tube side fluids for long periods under the operating conditions (temperatures, pressures, pH, etc.) to minimize deterioration such as corrosion. All of these 113 requirements call for careful selection of strong, thermally-conductive, corrosion-resistant, high quality tube materials, typically metals. Poor choice of tube material could result in a leak through a tube between the shell and tube sides causing fluid cross-contamination and possibly loss of pressure. Carbon Steel In our heat exchangers the material of construction used is carbon steel. Advantage: Low cost, easy to fabricate, abundant, most common material and resists most alkaline environments well. Disadvantage: Very poor resistance to acids and stronger alkaline streams and more brittle than other materials, especially at low temperatures. Glass wool Glass wool offers the best mix advantages for insulation: 1. Thermal Resistance. 2. Acoustical Absorption. 3. Fire resistance. 4. Lightness. 5. Environmentally friendly. 6. Easy Insulation. Assumptions 1- For cooling the fluid, Chilled water has been used for many reasons, mostly because of its suitable temperature range in addition to its treatment. 2- Assuming value for overall heat transfer coefficient based on table 12.1, which is close to the calculated value. 3- The type of heat exchanger is shell and tube, while the material of construction is carbon steel. 114 Nomenclature Table 3.1 : Nomenclature of Heat exchanger Symbol T1 T2 t1 t2 µ kf Cp Р Q ∆Tlm A U do di Lt Re Pr Gs lb T ∆Pt Np Ej S Cc ri Definition Inlet shell side fluid temperature (°C) Outlet shell side fluid temperature(°C) Inlet tube side fluid temperature (°C) Outlet tube side fluid temperature (°C) Fluid viscosity (m N s /m2) Thermal conductivity ( W/ m °C) Mass heat capacity (kJ / Kg °C) Density of the fluid (Kg/ m3) Heat load (Kw) Log mean temperature difference (°C) Area (m2) Overall heat transfer coefficient (W/m2. °C) Tube outside diameter (mm) Tube inner diameter (mm) Tube length Reynolds number Prandtl number Mass velocity (m/s) Baffle spacing (m) Shell Thickness Tube side pressure drop (N/m2) Number of tube side passes Efficiency of joints Working stress (psi) Allowance for corrosion (in) Internal radius of shell 115 Calculation procedure a. Define the duty: heat transfer rate, fluid flow rates, temperature. b. Collect together the fluid physical properties required: density, viscosity, c. Thermal conductivity. d. Select a trail value for the overall coefficient, U. e. Calculate the mean temperature difference, ΔTm. f. Calculate the area required from Q=UAΔTm. g. Calculate the bundle and shell diameter h. Calculate the individual coefficients. i. Calculate the overall coefficient and compare with the trail value. j. Calculate the exchanger pressure drop. k. Calculate thickness of the shell. l. Find the price of the heat exchanger based on the heat transfer area and the material of construction Sample calculation: Q = (m Cp ΔT) = 1741.510264 KW mcold = (Qh)/(Cp*∆T)= 0.27777 Kg/s 000 Tlm T2 T1 T LN 2 T1 T lm=( 144 – 25 ) - ( 225 - 130.7 ) / LN(( 144 – 25 )/( 225 - 130.7 )) = 106.6578 °C 116 Using one shell pass and two tube passes R (T1 T2 ) (t 2 t1 ) R= (25 – 130.7)/ (144 – 225.9) = 1.2905983 S (t 2 t1 ) (T1 t1 ) S= (144 – 225.9)/ (25 – 225.9) = 0.4076655 Using fig. (A.11) to find Ft Ft= 0.98 Tm Ft * Tlm = 104.52464 C From table in appendix assume U= 25 W/m2°C Provisional area A Q = 604.46982 m2 UTm Choose Do= 32 mm Di= 28 mm 117 Assume, Lt= 2.1 m Area of one tube = Lt * do *π = 0.211115 m2 Number of tubes Nt = provisional area / area of one tube= 2863 As the shell – side fluid is relatively clean use 1.25 triangular pitch. Using Table (A.4) in appendix N Bundle diameter Db= d o t K1 1 / n1 K1= 0.249 N1= 2.207 Db= 50* 2.285 0.17 1 / 2.207 = 2313 mm Use a split – ring floating head type. From figure (A.12) in appendix Bundle diametrical clearance = 67 mm Shell diameter, Ds = Db + bundle diametrical clearance Ds= 2313 + 67 = 2280 mm Tube – side coefficient 2 Tube cross sectional area = d i = * (28E 3) 2 = 615.75216 mm2 4 4 Tubes per pass= N t = 3157 = 789 4 4 Total flow area = tube per pass * cross sectional area * 10^-6 = 0.440759 m2 118 Mass velocity=mass flow rate/total flow area = 11510 0.4859529 = 2.61 * 10^4 Kg/m2.s Linear velocity (ut) =mass velocity/density = 2.37 *10^4 461.707 = 56.559744 m/s The coefficient can be calculated from the following equation hi d i j h Re Pr 0.33 Kf w Re Pr ud i 1.46 * 10^6 Cp 7.65 * 10^2 Kf L 2.1 *1000 75 di 28 From figure (A.13) in appendix jh= 2 * 10^-3 hi 1.16*10^5(W / m 2 C ) from previous equation Shell - side coefficient Choose baffle spacing Lb= Ds 5 2380 456.0684 mm 5 Tube pitch (pt)=1.25*do= 1.25 * 32 = 40 mm Cross-flow area As= ( pt d o ) * Ds * Lb pt (40 E 3 32) * 2380 * 476.0865 0.20798m 2 40 Mass velocity Gs = mass flow rate / cross flow area 119 = 1000 / 3600 1.211281 Kg / m 2 s 1 / 0.2268 Equivalent diameter de = 1.1 2 1.1 pt 0.917d o 2 (40) 2 0.917 * (32) 2 22.7mm 32 do Mean shell side temperature = Re Gs d e 60 pr Cp 84.01 Kf (T1 T2 ) (130.7 25) 77.85 C 2 2 Choose 15 per cent baffle cut. From figure (A.15) in appendix jh= 6 * 10^-2 hs= 224.7233 W/m^2 C Overall heat transfer coefficient Thermal conductivity of cupro-nickel alloys kw = 45 W/m °C Take the fouling coefficient from Table in appendix Taking fouling coefficients From table in appendix Outside coefficient (fouling factor) (hod) = 5000 Inside coefficient (fouling factor) (hid) =5000 d d o LN o 1 1 1 di 2k w U o ho hod d o 1 d h i id 120 do di 1 hi Uo= 202.60019 (W/m2 °C) Acceptable Pressure drop: Tube side From figure (A.14) in appendix and for Re = 1.46 * 10^6 jf= 2 * 10^-3 Neglecting the viscosity correction term L / di u 2 pt N p 8 j f 2.5 2 / w pt 1585.3416 psia Shell side Linear velocity= Gs 00.0024015 From figure (A.16) in appendix and for Re = 60 jf= 0.35 Neglecting the viscosity correction term D L Pt 8 j f s t d e lb u 2 2 w 0.14 Pt 0.0018819 Kpa Shell thickness P= 40 psi ri = 44.88864805 in S= 13706.66 psi EJ =0.85 Cc = 0.125 in 121 t Pri Cc 0.279 in 7.1 mm SE j 0.6P t: shell thickness (in) P : internal pressure (psig) ri: internal radius of shell (in) EJ: efficiency of joints S : working stress (psi) Cc: allowance for corrosion (in) Heat transfer area = 6506.46 ft2 Specification Sheet Equipment Name Cooler Objective To cool the aniline product Equipment Number E-208 Designer Hassan Ahmed Butaleb Type Shell and tube heat exchanger Location After the distillation column (C-203) Utility Chilled water Material of Construction Carbon steel Insulation Quartz wool – Glass wool Operating Condition Shell Side Inlet temperature (oC) 25 Outlet temperature (oC) 130.7 Inlet temperature (oC) 225.9 Outlet temperature (oC) 144 Number of Tube Rows 5 Number of Tubes 2863 Tube bundle Diameter (m) 2.2133 Shell Diameter (m) 2.28034 Q total (Kw) 1579.549 LMTD (oC) 106.6 U (W/m2 oC) 25 Heat Exchanger Area (m2) 603.8697 Tube Side 122 Reboiler (E-206) Sample calculation: Tlm T2 T1 T LN 2 T1 T lm=( 150.4 – 95 ) - ( 150.2 – 75.02 ) / LN(( 150.4 – 95 )/( 150.2 – 75.02 )) hnb = 0.00122 (Tw – Ts)0.24 (pw – ps)0.75 ((kl0.79 Cpl0.45 ρL0.49)/( σ0.5 μL0.29 ρv0.24 L0.24) L : latent heat g : gravitational acceleration σ : Surface tension hnb = -0.672 W / m2 co qc = 0.131 * L (σ g (ρL - ρv ) ρv2 )0.25 qc = 6.84 * 10^5 Rel = (ρL 2*10^-3 Di) / (μL * 10^-3) = 5.51 * 10^4 jh From fig 12.29 = 0.003 Pr = (Cpl μL) / (kl) = 12.9 hfc = (kl * jh * Rel ) * ( Pr )^0.33 / (Di*10^-3) = 1811.7626 W / m2 co Xtt = 1 / ((( x / 1-x)0.9 * (ρL / ρv)0.5 = 0.8398513 fc from fig 12.52 = 2.5 hfc* = fc * hfc = 4529.4064 W / m2 co Heat load = ( L * U ) / ( 3600 Mw.t ) = 3.2317 kW Area of reboiler = ( Heat load * 10^3 ) / ( Q ) = 32.3177 m2 Q : Heat flux Area of one tube = 3.14 * Do * Lo = 0.2299646 m2 Lo : Tube length 123 Number of tubes = Area of reboiler / Area of one tube = 141 Reboiler (E-207) Sample calculation: Tlm T2 T1 T LN 2 T1 T lm=( 175.4 – 95 ) - ( 174.9 – 75.02 ) / LN(( 175.4 – 95 )/( 174.9 – 75.02 )) hnb = 0.00122 (Tw – Ts)0.24 (pw – ps)0.75 ((kl0.79 Cpl0.45 ρL0.49)/( σ0.5 μL0.29 ρv0.24 L0.24) L : latent heat g : gravitational acceleration σ : Surface tension hnb = - 7.9 *10^-2 W / m2 co qc = 0.131 * L (σ g (ρL - ρv ) ρv2 )0.25 qc = 8.67 * 10^3 Rel = (ρL 2*10^-3 Di) / (μL * 10^-3) = 8.56 * 10^3 jh From fig 12.29 = 0.007 Pr = (Cpl μL) / (kl) = 0.792 hfc = (kl * jh * Rel ) * ( Pr )^0.33 / (Di*10^-3) = 32.641 W / m2 co Xtt = 1 / ((( x / 1-x)0.9 * (ρL / ρv)0.5 = 0.0032204 fc from fig 12.52 = 1 hfc* = fc * hfc = 32.6417 W / m2 co Heat load = ( L * U ) / ( 3600 Mw.t ) = 2.08925 kW Area of reboiler = ( Heat load * 10^3 ) / ( Q ) = 69.64186 m2 Q : Heat flux 124 Area of one tube = 3.14 * Do * Lo = 0.2299646 m2 Lo : Tube length Number of tubes = Area of reboiler / Area of one tube = 303 Flash Separator Separator is a device that separate liquid from gasses. There are two types of separator: two phase separator and three phase separator. The choice of separator depends on the process. In our process we use two phase separator. Separators are mechanical devices for removing and collecting liquids from natural gas. A properly designed separator will also provide for the release of entrained gases from the accumulated hydrocarbon liquids. Gravity causes the liquid to settle to the bottom of the vessel, where it is withdrawn. The vapor travels upward at a design velocity which minimizes the entrainment of any liquid droplets in the vapor as it exits the top of the vessel. 125 The feed to a vapor-liquid separator may also be a liquid that is being partially or totally flashed into a vapor and liquid as it enters the separator. A vapor-liquid separator may also be referred to as a flash drum, knock-out drum, knock-out pot, compressor suction drum or compressor inlet drum. When used to remove suspended water droplets from streams of air, a vaporliquid separator is often called a demister. Vapor-liquid separators are very widely used in a great many industries and applications, such as: 1. Oil refineries 2. Natural gas processing plants 3. Petrochemical and chemical plants 4. Refrigeration systems 5. Air conditioning 6. Compressor systems for air or other gases 7. Gas pipelines 8. Steam condensate flash drums Vertical Separator Vertical separator is a device with its cylindrical axes perpendicular to the ground that is used to separate liquids from gases. There are two types of separator depending on the process, two phases and three Phase's separator. Most refinery processes include one or more separators with different types. Vertical Separators perform four distinct functions – inlet control, vapor demisting, liquid separation, and liquid outlet control. Some of Features of vertical separators: 1. Designed for high liquid loading applications. 2. High efficiency over wide flow range. 3. No required maintenance. 126 Horizontal Separator Horizontal separator is a device with its cylindrical axes perpendicular to the ground that is used to separate liquids from gases. There are two types of separator depending on the process, two phases and three Phase's separator. Most refinery processes include one or more separators with different types. Horizontal Separators perform four distinct functions – inlet control, vapor demisting, liquid separation, and liquid outlet control. Some of Features of Horizontal separators: 1. Designed for high liquid loading applications. 2. High efficiency over wide flow range. 3. No required maintenance. 127 Material of Construction: We can use stainless steel but carbon steel is good and cheaper. Insulation: Material of insulation depends on the operating temperatures, since temperature in the separator is not high so from figure 3 in appendix, we can see that the possible materials that cover the temperature are glass fiber and mineral wool. And we choose mineral wool as insulation. Design Procedure 1. Settling velocity Ut = 0.07 [(ρL – ρv ) / ρv ]0.5 = 0.773209297 (m/s) 2. Volumetric flow rate Vv = Mv / (3600 * ρv ) = 0.000223714 (m3/s) Lv = ML / (3600 * ρL ) = 0.00348878 (m3/s) 3. Volume held in vessel VHV = 10 * 60 * Lv = 2.093267716 (m3) 4. Minimum vessel diameter Dv = [(4 * Vv ) / (pi * Us )]0.5 = 2.2 (m) = 0.755837249 (in) 5. Liquid depth 128 Hv = VHV / [(pi / 4) * (Dv )2 ] = 7234.847249 (m) ri = Dv / 2 = 1.103 (m) = 0.377918625 (in) Thickness = Cc + [(P * ri ) / (S * Ej – 0.6 * P)] = 1.024816852 (in) = 0.02603 (m) h = [3 * (Dv / 2)] + Dv + Hv + 0.4 = 7235.295244 (m) 6.area of vessel = 2*pi*(dv/2)*ht = 436.1629606 (m2) 7. Metal Vm = VDo - VDv = 11.35349638 (m3) Wm = Vm * Density of the steel = 87421.9221 (kg) Specification sheet for separator V-203 Equipment Name Separator Objective To separate Aniline from the other gases Equipment Number V-203 Designer Hassan Ahmed Butaleb Type Vertical Location After C-203 Material of Construction Carbon Steel Insulation Glass wall and quartz Operating Condition Operating Temperature (oC) 144 Operating Pressure (psi) 40 Storage Tank A storage tank is a container, usually for holding liquids, sometimes for compressed gases (gas tank). The term can be used for reservoirs (artificial 129 lakes and ponds), and for manufactured containers. Storage tanks are available in many shapes: vertical and horizontal cylindrical; open top and closed top; flat bottom, cone bottom, slope bottom and dish bottom. Large tanks tend to be vertical cylindrical, or to have rounded corners transition from vertical side wall to bottom profile, to easier withstand hydraulic hydrostatically induced pressure of contained liquid. Most container tanks for handling liquids during transportation are designed to handle varying degrees of pressure. The top space in the tank for the vapor pressure of the component will be 12 % of the tank volume. Design and Calculation For Tank (T-202) 1- Assume: Cylindrical tank Square shape from inside (H=0.2D) Daily storage (time hold-up=0.399 hr) 2-Volume of the liquid: Volume of the liquid = Total mass flow rate in* time hold-up Where time hold-up is the time where the liquid is hold inside the tank Volume of the liquid = 0.399 * 7.11678 = 2.8396 m3 3- The total volume: The total volume = volume of liquid/0.3 = 9.46532 m3 The actual diameter=(5*the total volume/π)^(1/3) = 2.47016 m 5- The actual high: The actual high = 0.2* diameter = 0.49403 m 6-Area of the storage tank: Area of the storage tank =V/H = 19.1593 m2 130 7- Thickness: The best materiel is construction is carbon steel. t = (P r i / S E – 0.6P) + Cc P : internal pressure (kpa gage) r i : internal radius of shell (m) E : efficiency of joints = 0.85 S : working stress (kpa) = 94500 Cc : allowance for corrosion (m ) = 0.003175 ri(m) = 1.23508 t(m) = 0.00583 8- Vapor pressure: Vapor pressure = Log10 P* = A- (B/C+T) = 760 mmhg Specification sheet of Tank T-202 Equipment Name T-202 Objective To store Aniline and Water Designer Hassan Ahmed Butaleb Location After three phase separator Material of Construction Carbon steel Insulation Quartz Wool Operating Condition Operating (oC) Temperature 40 Diameter (m) 2.47016 Operating Pressure (Pisa) 25 Height (m) 0.49403 Feed Flow Rate (mole/s) 7.11678 Thickness (m) 0.00583 Vapor Pressure (atm) 1 Total Area (m2) 19.1593 131 Design and Calculation For Tank (V-202) 1- Assume: Cylindrical tank Square shape from inside (D=0.2H) Daily storage (time hold-up= 0.6 hr) 2-Volume of the liquid: Volume of the liquid = Total mass flow rate in* time hold-up Where time hold-up is the time where the liquid is hold inside the tank Volume of the liquid = 0.6 * 12.3125 = 7.38747 m3 3- The total volume: The total volume = volume of liquid/0.3 = 24.6249 m3 4-The actual diameter: The actual diameter=(5*the total volume/π)^(1/3) = 3.39733 m 5- The actual high: The actual high = 0.2* diameter = 0.67947 m 6-Area of the storage tank: Area of the storage tank =V/H = 36.2415 m2 7- Thickness: The best materiel is construction is carbon steel. t = (P r i / S E – 0.6P) + Cc P : internal pressure (kpa gage) r i : internal radius of shell (m) E : efficiency of joints = 0.85 S : working stress (kpa) = 94500 132 Cc : allowance for corrosion (m ) = 0.003175 ri(m) = 1.69867 t(m) = 0.00682 8- Vapor pressure: Vapor pressure = Log10 P* = A- (B/C+T) = 760 mmhg Specification sheet of Tank T-101 Equipment Name V-202 Objective To store Aniline and Water Designer Hassan Ahmed Butaleb Location After three phase separator Material of Construction Carbon steel Insulation Quartz Wool Operating Condition Operating (oC) Temperature 40 Diameter (m) 3.39733 Operating Pressure (Pisa) 25 Height (m) 0.67947 Feed Flow Rate (mole/s) 24.6249 Thickness (m) 0.00682 Vapor Pressure (atm) 1 Total Area (m2) 36.2415 133 Valves A valve is a device that regulates, directs or controls the flow of a fluid (gases, liquids, fluidized solids, or slurries) by opening, closing, or partially obstructing various passageways. Valves are technically pipe fittings, but are usually discussed as a separate category. In an open valve, fluid flows in a direction from higher pressure to lower pressure. Valves are used in a variety of contexts, including industrial, military, commercial, residential, and transport. The industries in which the majority of valves are used are oil and gas, power generation, mining, water reticulation, sewage and chemical manufacturing. In nature, veins acting as valves are controlling the blood circulation; heart valves control the flow of blood in the chambers of the heart and maintain the correct pumping action. Valves play a vital role in industrial applications ranging from transportation of drinking water to control of ignition in a rocket engine. Valves may be operated manually, either by a handle, lever or pedal. Valves may also be automatic, driven by changes in pressure, temperature, or flow. These changes may act upon a diaphragm or a piston which in turn activates the valve, examples of this type of valve found commonly are safety valves fitted to hot water systems or boilers. Valve control Control valves are imperative elements in any system where fluid flow must be monitored and manipulated. Selection of the proper valve involves a thorough knowledge of the process for which it will be used. Involved in selecting the proper valve is not only which type of valve to use, but the material of which it is made and the size it must be to perform its designated task. The basic valve is used to permit or restrain the flow of fluid and/or adjust the pressure in a system. A complete control valve is made of the 134 valve itself, an actuator, and, if necessary, a valve control device. The actuator is what provides the required force to cause the closing part of the valve to move. Valve control devices keep the valves in the proper operating conditions; they can ensure appropriate position, interpret signals, and manipulate responses. When implementing a valve into a process, one must consider the possible adverse occurrences in the system. This can include noise due to the movement of the valve, which can ultimately produce shock waves and damage the construction of the system. Cavitations and flashing, which involve the rapid expansion and collapse of vapor bubbles inside the pipe, can also damage the system and may corrode the valve material and reduce the fluid flow. No matter which avenue you take, the following criteria should be considered to assure you select the right valve, the first time: • Process Parameters: • Flow • Pressure • Temperature • Chemical Compatibility: • Media • Concentration • % of Solids • Specific Gravity (sg) • Process Requirements: • On/Off versus control service • Allowable leakage rate • Cleanliness • Emissions Control • Available space and structural considerations 135 There are many types of valves like : Globe Valves A globe valve is a type of valve used for regulating flow in a pipeline, consisting of a movable disk-type element and a stationary ring seat in a generally spherical body. The valve can have a stem or a cage. The fluid's flow characteristics can be controlled by the design of the plug being used in the valve. A seal is used to stop leakage through the valve. Globe valves are designed to be easily maintained. They usually have a top that can be easily removed, exposing the plug and seal. Globe valves are good for on, off, and accurate throttling purposes but especially for situations when noise and cavitations are factors. A common example would be the valves that control the hot and cold water for a kitchen or bathroom sink. Butterfly Valves Butterfly valves consist of a disc attached to a shaft with bearings used to facilitate rotation. The characteristics of the flow can be controlled by changing the design of the disk being use. Butterfly valves are good for situations with straight flow and where a small pressure drop is desired. There are also high performance butterfly valves. 136 Ball Valves A ball valve is a valve with a spherical disc, the part of the valve which controls the flow through it. The sphere has a hole, or port, through the middle so that when the port is in line with both ends of the valve, flow will occur. When the valve is closed, the hole is perpendicular to the ends of the valve, and flow is blocked. Ball valves are good for on/off situations. A common use for a ball valve is the emergency shut off for a sink. The Gate Valve This is the most common type of valve in use in industry and is used to start or stop the flow of fluids. It gives a positive shut-off when closed and is often used as a 'Block Valve' for isolating systems. The gate valve must be either fully closed or fully open and never used to control flow, as the fluid velocity will erode the valve internals - gate and body seats. 137 Section B Hussain Butaleb 207217011 Cooler (E-101) Heat Exchanger (E-103) Heat Exchanger (E-102) Steam Drum (V-102) Vessel (V-101) Storage Tank (T-101) Hydro Cyclone (T-102) Stripper (C-201) Distillation (C-101) Heat Exchangers and Cooler A heat exchanger is a device designed to transfer heat from one fluid stream to another without bringing the fluids into direct contact. Heat exchange equipment comes in a wide variety of forms, with an equal variety of functions. They are widely used in chemical plants, petroleum refineries, natural gas processing, refrigeration, power plants, air condition and space heating. Heat exchangers can have different size and shape depending on the application; it can be made of various materials and use various fluids for heat transfer. 138 Types of Heat Exchanger The heat exchangers can be classified according to: Boilers and steam generators. Condensers. Radiators. Evaporators. Cooling towers Flow arrangements: Co current of parallel flow. Countercurrent flow. Cross flow (single or multiple pass). Shell and tube heat exchanger: Shell and tube heat exchangers consist of a series of tubes. One set of these tubes contains the fluid that must be either heated or cooled. The second fluid runs over the tubes that are being heated or cooled so that it can either provide the heat or absorb the heat required. A set of tubes is called the tube bundle. There are several thermal design features that are to be taken into account when designing the tubes in the shell and tube heat exchangers. In addition to heating up or cooling down fluids in just a single phase, heat exchangers can be used either to heat a liquid to evaporate (or boil) it or used as condensers to cool a vapor and condense it to a liquid. Distillation set-ups typically use condensers to condense distillate vapors back into liquid. To conserve energy and cooling capacity in chemical and other plants, regenerative heat exchangers can be used to transfer heat from one stream that needs to be cooled to another stream that needs to be heated. This term can also refer to heat exchangers that contain a material within their structure that has a change of phase. This change of phase effectively acts as a buffer 139 because it occurs at a constant temperature but still allows for the heat exchanger to accept additional heat. The transfer of thermal energy between fluids is one of the most important and frequently used processes in engineering. The transfer of heat is usually accomplished by means of a device known as a heat exchanger. The basic design of a heat exchanger normally has two fluids of different temperature separated of some conducting medium. The common design has one fluid flowing through metal tubes and the other fluid flowing around the tubes. On either side of the tube, heat is transferred by convection. Heat transferred through the tube wall by conduction. Single phase exchangers are usually of the tube and shell type. Design procedure of shell and tube heat exchanger Calculation procedure: 1) Define fluid flow rates, temperature. 2) Collect together the fluid physical properties required: density, viscosity, thermal conductivity. 3) Finding the heat load for the process stream. 4) Decide on the type of exchanger to be used. 5) Find the outlet temperature of water flow. 6) Calculate the log mean temperature difference. 140 7) Find out the temperature correction factor (Ft) using two dimensionless temperature ratio (R & S), choose the number of shell's and tube passes. 8) Find out the true temperature difference. 9) Assume the overall heat transfer coefficient, Uo . 141 10) Calculate the provisional area. 11) Choosing tube outside & inside diameter, also tube length, then calculate the area of one tube. 12) Calculate the number of tubes which is equal to the provisional area over the area of one tube. 13) Choose a triangle pitch for tube layout and get the constants K 1 and n1 for two tube passes. 14) Calculate the bundle diameter. 15) Using split-ring floating head type, finds out the bundle diametrical clearance, and then calculates the sell diameter. 142 16) To calculate the tube side coefficient, find out the following: Tube cross sectional area. Tubes per pass. Total flow area. Tube mass velocity. Tube linear velocity. Reynolds number. Prantl number. 17) Find the heat transfer factor (jh) and calculate hi. 18) To calculate the shell side coefficient, find out the following: Choose baffle spacing. Tube pitch. Cross flow area. Mass velocity. Equivalent diameter. Reynolds number. Prandtl number. 143 Choose 25% baffle cut, and find the heat transfer factor (jh) and calculate hs. 19) The overall heat transfer coefficient must found. 20) The pressure drop can be calculated for both tube-side and shell-side. 21) Calculate thickness of the shell. Nomenclature Symbol Qh Definition m T Mass flow rate in Kg/s. Temperature difference of the inlet and outlet. TLM Log means Temperature. T1 Inlet shell side fluid temperature (oC). T2 Outlet shell side fluid temperature (oC). t1 Inlet tube side temperature (oC). t2 Outlet tube temperature (oC). Tm True temperature difference. R S Dimensionless temperature ratio. Dimensionless temperature ratio. Ft Log mean temperature difference correction factor. A Heat transfer area Nt Number of tubes in a tube bundle. Heat load transfer in the hot side, KW. 144 Db Bundle diameter (mm). d0 Tube outside diameter. K1 Constant. n1 Constant. Ds Shell diameter. Ac Tube cross-sectional area. di Tube inside diameter. At Total flow area. Um Tube mass velocity. Ut Tube linear velocity. ref Density. hi Film heat-transfer coefficient inside a tube. Re Reynolds number Fluid viscosity at the bulk fluid temperature, Ns/m2. Prandtl number. Pr Cp Heat capacity. kf Thermal conductivity of stream. lB Baffle spacing. pt Tube pitch Gs Mass velocity. As Cross-flow area between tubes. de Equivalent diameter. U0 The overall heat transfer coefficient. hod Fouling coefficient on outside of tube. hid Fouling coefficient on inside of tube. Pt Tube- side pressure drop (N/m²) (pa). Np Number of tube -side passes ut Tube-side fluid viscosity. L Length of one tube. 145 jf Friction factor. w Fluid viscosity at the wall. Ps Shell-side pressure drop. P Maximum allowable internal pressure (psig). Internal radius of shell before allowance corrosion is added (in). ri Ej Efficiency of joints. S Working stress (psi). Cc Allowance for corrosion (in) Design for cooler (E-101) Q mC p T 8.35E 05 W Where: Qh = Heat load transfer in the hot side, KW. m Mass flow rate in Kg/s. T Temperature difference of the inlet and outlet. Tlm (T1 t 2 ) (T2 t1 ) 181.0804C (T1 t 2 ) ln (T2 t1 ) Where: TLM Log means Temperature. T1 Inlet shell side fluid temperature (oC). T2 Outlet shell side fluid temperature (oC). t1 Inlet tube side temperature (oC). t 2 Outlet tube temperature (oC). 146 R S (T1 T2 ) 1.073653 (t 2 t1 ) (t 2 t1 ) =0.9314 (T1 t1 ) Tm Ft Tlm 181.0804 C Where: Tm True temperature difference. Ft Temperature correction factor=1 A Q 27955.21m2 UTm Where: A Provisional area in m2. Q Heat load in W. Tm True temperature difference. A DL 0.15072 m2 Where: A Area of one tube, m2. N t Provisional area/Area of one tube. 1 N Db d 0 ( t ) n1 1285.214 mm K1 Where: Db Bundle diameter (mm). d 0 Outside diameter (mm). 147 N t Number of tubes. K1 & n1 are constant. Ds Db Clearance = 1337.214 mm Where: Ds Sell diameter. Db Bundle diameter (mm). Clearance = 52, split ring floating head. Ac 4 (d i ) 2 = 1.32665 mm2 Where: Ac Tube cross-sectional area. di Tube inner diameter. Tubes N t Pass 2 = 23184.72 Where: N t Number of tubes. At Ac Tubes Pass = 0.030758 m2 Where: At Total flow area. Um m = 180.7389 m/s At Where: 148 U m Tube mass velocity. At Total flow area. m Mass flow rate in Kg/s. Ut Um ref = 0.353491 m/s Where: U t Tube linear velocity. ref Density. Re U t d i 309.9418 Where: Re Reynolds number. Fluid viscosity at the bulk fluid temperature, Ns/m2. Pr Cp kf = 5.293297 Where: Pr Prandtl number. C p Heat capacity. k f Thermal conductivity of stream. hi k f j h Re(Pr) 0.33 di = 502.75 W/m2C Where: hi Inside coefficient (W/m2 oC). 149 j h Tube side heat transfer factor. k f Thermal conductivity of stream. Pr Prandtl number. lB Ds 5 = 222.869 mm Where: l B Baffle spacing. Ds Shell diameter. pt 1.25d 0 = 5mm Where: pt Tube pitch. d 0 Outside diameter (mm). As ( p t d 0 ) Ds l B = 0.059605 m2 pt Where: As Cross-flow area. pt Tube pitch. d 0 Outside diameter (mm). Ds Shell diameter. Gs m = 27.61555 kg/m2s As Where: 150 Gs Mass velocity. As Cross-flow area. m Mass flow rate in Kg/s. de 1.1 2 2 ( pt 0.917 d 0 ) = 2.8402 mm d0 Where: d e Equivalent diameter (mm). d 0 Outside diameter (mm). pt Tube pitch. Re Gs d e = 52.28913 Where: Re Reynolds number. d e Equivalent diameter (mm). Gs Mass velocity. Fluid viscosity at the bulk fluid temperature, Ns/m2. Choose 25% baffle cut jh = 0.42 hi k f j h Re(Pr) 0.33 di = 5793.259 W/m2C Where: hi Inside coefficient (W/m2 oC). j h Tube side heat transfer factor. 151 k f Thermal conductivity of stream. Pr Prandtl number. 1 1 1 U 0 h0 hod d 0 ln( d0 ) di 2k w d0 1 d 1 0 d i hid d i hi 0.007249 = Where: U 0 The overall heat transfer coefficient. hod Outside coefficient (fouling factor). hid Inside coefficient (fouling factor). Uo = 137.9562 L Pt N p 8 j f di w m u 2 2.5 t 2 = 76.12681 kpa Where: Pt Tube- side pressure drop (N/m²) (pa). N p Number of tube -side passes. u t Tube-side velocity, m/s. L Length of one tube. j f Friction factor. w Fluid viscosity at the wall. Fluid viscosity at the bulk fluid temperature, Ns/m2. D Ps 8 j f s de L u s 2 l B 2 w 0.14 = 32.54424 kpa 152 Where: Ps Shell-side pressure drop (N/m²) (pa). j f Friction factor. L Length of tube. For carbon steel t Pri Cc = 5.476371 mm SEj 0.6 P Where: t Shell thickness (in). P Maximum allowable internal pressure (psig) = 40 psi ri Internal radius of shell before allowance corrosion is added (in) = 26.32306 inch E j Efficiency of joints = 0.85 S Working stress (psi) = 13700 psi Cc Allowance for corrosion (in) = 0.125 inch Specification sheet for heat exchanger ( E-101) Equipment Name Objective Equipment Number Designer Type Location Utility Material of Construction Operating Condition Heat exchanger To cool the feed of the reactor which is contain hydrogen and nitro benzene E-101 Hussain Butaleb Shell and tube heat exchanger After heat exchanger (E-103) cooling water Carbon steel Shell Side 153 Inlet temperature (oC) Tube Side Inlet temperature (oC) Number of passes Number of Tube Per Pass Tube bundle Diameter (m) U (W/C.m2) 5 Outlet temperature (oC) 170 357.3 8 23184.72 1337.214 137.9562 Outlet temperature (oC) Thickness (mm) Number of Tubes LMTD (oC) Heat Exchanger Area (m2) 178 5.476371 185477.7 181.0804 27.95521 Heat Exchangers: Nomenclature Symbol Definition T1 Inlet shell side fluid temperature (°C) T2 Outlet shell side fluid temperature(°C) t1 Inlet tube side fluid temperature (°C) t2 Outlet tube side fluid temperature (°C) µ Fluid viscosity (m N s /m2) kf Thermal conductivity ( W/ m °C) Cp Mass heat capacity (kJ / Kg °C) Р Density of the fluid (Kg/ m3) Q Heat load (Kw) ∆Tlm Log mean temperature difference (°C) A Area (m2) U Overall heat transfer coefficient (W/m2. °C) do Tube outside diameter (mm) di Tube inner diameter (mm) Lt Tube length Re Reynolds number Pr Prandtl number Gs Mass velocity (m/s) 154 lb Baffle spacing (m) T Shell Thickness ∆Pt Tube side pressure drop (N/m2) Np Number of tube side passes Ej Efficiency of joints S Working stress (psi) Cc Allowance for corrosion (in) ri Internal radius of shell Calculation procedure m. Define the duty: heat transfer rate, fluid flow rates, temperature. n. Collect together the fluid physical properties required: density, viscosity, o. Thermal conductivity. p. Select a trail value for the overall coefficient, U. q. Calculate the mean temperature difference, ΔTm. r. Calculate the area required from Q=UAΔTm. s. Calculate the bundle and shell diameter t. Calculate the individual coefficients. u. Calculate the overall coefficient and compare with the trail value. v. Calculate the exchanger pressure drop. w. Calculate thickness of the shell. x. Find the price of the heat exchanger based on the heat transfer area and the material of construction Detailed calculation procedure 1- Heat load 155 Q = (m Cp ΔT) hot = (m Cp ΔT) cold, (kW) 2-Tube side flow mcold Qhot , (Kg/hr) C p Tcold 3- Log mean temperature Tlm T2 T1 T LN 2 T1 , (°C) T1 T1 t 2 T2 T2 t1 Where, T1: is inlet shell side fluid temperature (°C) T2: is outlet shell side fluid temperature (°C) t1: is inlet tube side temperature (°C) t2: is outlet tube side temperature (°C) 3-Calculate the mean (true) temperature ∆Tm ΔTm= Ft * ΔTlm For more than one tube passes (1 S ) ( R 2 1) LN (1 RS ) Ft 2 S ( R 1 ( R 2 1) ( R 1) LN 2 S ( R 1 ( R 2 1) R (T1 T2 ) (t 2 t1 ) S (t 2 t1 ) (T1 t1 ) 156 Where, Ft: is the temperature correction factor R: is the shell side flow *specific heat / tube side flow*specific heat, (Dimensionless). S: is temperature efficiency of the heat exchanger, (dimensionless) 4- Provisional Area A Q UTm , (m2) Where, Area of one tube = Lt * do *π , (mm2) Outer diameter (do), (mm) Length of tube (Lt), (mm) Number of tubes = provisional area / area of one tube 5- Bundle diameter N Db d o t K1 1 / n1 , (mm) Where, Db: bundle diameter, (mm) Nt: number of tubes K1, n1: constants. 6- Shell diameter Ds = Db + (Bundle diameter clearance) , (mm) Using split-ring floating head type (bundle). 157 From figure (A.12) we get bundle diameter clearance. 7-Tube side Coefficient Cold stream mean temperature= t 2 t1 , (°C) 2 Tube cross sectional area = 4 di 2 , (mm2) Tubes per pass = no. of tubes / number of passes Total flow area = tubes per pass * cross sectional area, (m2) Mass velocity = mass flow rate / total flow area, (kg /sec.m2) Linear velocity (ų) = mass velocity / density, (m/s) Reynolds number (Re) =ρ ų di / μ Prandtl number (Pr) = Cp μ / κ (hi di / κ) = jh Re Pr0.33 * (μ/μwall)0.14 Using Fig. to find jh 8-Shell side Coefficient Baffle spacing (Lb) = 0.2 * Ds, (mm) Tube pitch (pt) = 1.25 * do, (mm) Cross flow area (As) = (pt - do)* Ds* Lb / pt , (m2) Mass velocity (Gs) = mass flow rate / cross flow area, (kg/s.m2) Equivalent diameter for triangular arrangement (de) =1.1*(pt 2-0.917do2) /do, (mm) Mean shell side temperature = (Thi +Tho)/2, (°C) Reynolds number (Re) = Gs de / μ Prandtl number (Pr) = Cp μ / κ And from fig find jh. 158 hs = K * jh *Re *Pr (1/3) / de , W/m2.°C Overall heat transfer coefficient d d o LN o 1 1 1 di do 2K w di U o ho hod 1 hid do di ,(W/m2.°C) 9- Pressure drop Tube side L / di u 2 2.5 , (KPa) Pt N p 8 j f M / M w 2 Where, ΔPt: tube side pressure drop (N/m2= pa) Np : number of tube side passes u : tube side velocity (m/s) L: length of one tube, (m) Use the fig.(A.14) Shell side Linear velocity = Gs /р D p s 8 j f s do L u 2 lb 2 Where, L: tube length, (m) lb: baffle spacing(m) 159 M M w 0.14 1 hi Use fig.(12.30) to get jf. 10-Shell thickness t Pri Cc SE j 0.6 P t: shell thickness (in) P : internal pressure (psig) ri: internal radius of shell (in) EJ: efficiency of joints S : working stress (psi) Cc: allowance for corrosion (in) Sample Calculation: Heat exchanger (E-103) Shell side Prameter Unit Inlet Outlet Mean Tempreture Ti C 30 177 103.5 Thermal Conductivty k W/m.C 1.37E-01 1.49E-02 0.075769 Mass Density ρ kg/m3 1191.8 1.35E+00 596.5761 Viscosity μ mPa.s 2.40E+00 7.54E-03 Specfic Heat Cp KJ/Kg.K 142.9 Heat Of Vaporization KJ/kg 1.92E+02 Mass Flow Rate kg/s 5.448889 165.67 1.203118 154.285 Tube side Prameter Unit Inlet 160 Outlet Mean Temperture ti C 184.81 163.87 174.34 Thermal Conductvity W/m.C 2.06E-01 0.19891 0.202635 Mass Density kg/m3 0.2473 0.28409 0.265695 Viscosity mPa.s 1.20E-02 1.14E-02 0.011703 Specfic Heat Cp KJ/Kg.K 30.727 30.585 30.656 Mass Flow Rate kg/s 0.249167 Q = (m Cp ΔT) hot = 1.05E+03 KW T1 C 30 T2 C 177 t1 C 184.81 t2 C 163.87 Tlm T2 T1 T LN 2 T1 T lm= -44.36445101 °C Using one shell pass and one tube passes R (T1 T2 ) (t 2 t1 ) R= 7.020057307 S (t 2 t1 ) (T1 t1 ) S= 0.13526258 Using fig to find Ft Ft= 1 161 Tm Ft * Tlm = -44.364451 °C assume U=160 W/m2°C Provisional area A Q = 147.3956 m2 UTm Choose, Assume Outler diameter (do) 50 mm Assume inside diameter (di) 4 mm Assume Length of tubes (L) 10 m Area of one tube = Lt * do *π = 0.019635 m2 Number of tubes Nt = provisional area / area of one tube= 7506.796 tube As the shell – side fluid is relatively clean use 1.25 triangular pitch. N Bundle diameter Db= d o t K1 1 / n1 K1= 0.319 N1= 2.142 Db= 5494.096 mm Use a split – ring floating head type. Bundle diametrical clearance = 77 mm Shell diameter, Ds = Db + bundle diametrical clearance Ds= 5571.096 mm 162 Tube – side coefficient 2 Tube cross sectional area = d i = * (26 E 3) 2 = 1.26E-05 m2 4 4 Tubes per pass = N t = 7506.796 1 Total flow area(area/pass) = tube per pass * cross sectional area = 0.094333 m2 Linear velocity (ut) = mass velocity/density = 9.941288 m/s The coefficient can be calculated from the following equation hi d i j h Re Pr 0.33 Kf w Re Pr ud i 902.7943 Cp 1.770509 Kf From figure jh= 3.00E-03 hs = 90.33455W/m2.C Assume that the viscosity of the fluid is the same as at the wall 1 w Shell - side coefficient Choose baffle spacing Lb= Ds 5 1114.219 mm Tube pitch (pt)=1.25*do= 62.5 mm 163 Cross-flow area As= ( pt d o ) * Ds * Lb 1.241484 m 2 pt Equivalent diameter de = 1.1 pt 2 0.917d o 2 0.035503 mm do Re = 129.5142 Pr = 486.7794 Choose 25% baffle cut. From figure jh= 7.00E-02 hs = 285.1998 W/m2.C Overall heat transfer coefficient d d o LN o 1 1 1 di 2k w U o ho hod d o 1 d h i id Uo= 143.8143 (W/m2 °C) Acceptable Pressure drop: Tube side From figure for Re = 902.7943 jf= 3.00E-03 Neglecting the viscosity correction term L / di u 2 2.5 pt N p 8 j f / 2 w pt 1477.507 pa Shell side From figure for Re = 129.5142 164 do di 1 hi jf= 7.00E-02 Neglecting the viscosity correction term D L Pt 8 j f s t d e lb u 2 2 w 0.14 Pt 12.20782 pa Shell thickness P= 5.2752 psig ri = 109.667 in S= 13,700 psi EJ =0.85 Cc = 0.125 in t = 0.174693 in = 4.437197 mm Heat Exchanger (E-103) specification sheet Equipment Name Objective Designer Type Location Material of Construction Insulation Operating Condition Shell Side Inlet temperature (oC) Tube Side Inlet temperature (oC) E-103 To heat the nitro benzene feed by the reactor (R-101) product Hussain Butaleb Shell and tube heat exchanger After heat exchanger (E-102) Carbon steel Quartz wool – Glass wool 30 Outlet temperature (oC) 77 184.81 Outlet temperature (oC) 163.87 Number of passes Tube bundle Diameter (mm) 1 5571.096 Number of Tubes Thickness (mm) 7506.796 4.437197 Q total (W) 1.05E+06 LMTD (oC) -44.3645 U (W/m2 oC) 143.8143 Heat Exchanger Area (m2) 147.3956 165 Sample Calculation: Heat exchanger (E-102) Shell side Prameter Unit Inlet Outlet Mean Tempreture Ti C 311.64 184.81 248.225 Thermal Conductivty k W/m.C 2.47E-01 2.06E-01 0.226535 Mass Density ρ kg/m3 0.21182 2.47E-01 0.22956 Viscosity μ mPa.s 1.48E-02 1.20E-02 0.013364 Specfic Heat Cp KJ/Kg.K 31.52 30.727 31.1235 Heat Of Vaporization KJ/kg 2.60E+02 Mass Flow Rate kg/s 5.449167 Prameter Unit Inlet Outlet Mean Temperture ti C 114.06 249 181.53 Thermal Conductvity W/m.C 1.94E-01 0.24214 0.218045 Mass Density kg/m3 9.54E-02 7.07E-02 0.083072 Viscosity mPa.s 1.04E-02 1.33E-02 0.011838 Specfic Heat Cp KJ/Kg.K 29.045 29.525 29.285 Mass Flow Rate kg/s Tube side 4.318056 166 Q = (m Cp ΔT) hot = 1.42E+03 KW Tlm T1 C 311.64 T2 C 184.81 t1 C 114.06 t2 C 249 T2 T1 T LN 2 T1 T lm= 66.61273864 °C Using one shell pass and one tube passes R (T1 T2 ) (t 2 t1 ) R= 0.939899214 S (t 2 t1 ) (T1 t1 ) S= 0.682963863 Using fig to find Ft Ft=0.85 Tm Ft * Tlm = 56.62082784 °C Assume U= 135 W/m2°C Provisional area A Q = 185.5697 m2 UTm 167 Choose, Assume Outler diameter (do) 25 mm Assume inside diameter (di) 22 mm Assume Length of tubes (L) 1 m Area of one tube = Lt * do *π = 0.000491 m2 Number of tubes Nt = provisional area / area of one tube= 378039.5 tube As the shell – side fluid is relatively clean use 1.25 triangular pitch. N Bundle diameter Db= d o t K1 1 / n1 K1= 0.319 N1= 2.148 Db= 16810.04 mm Use a split – ring floating head type. Bundle diametrical clearance = 78 mm Shell diameter, Ds = Db + bundle diametrical clearance Ds= 16888.04 mm Tube – side coefficient 2 Tube cross sectional area = d i = * (26 E 3) 2 = 0.00038 m2 4 4 Tubes per pass = 378039.5 Total flow area(area/pass) = tube per pass * cross sectional area = 143.7052 m2 Linear velocity (ut) = mass velocity/density = 0.361711 m/s 168 The coefficient can be calculated from the following equation hi d i j h Re Pr 0.33 Kf w Re Pr ud i 55.84426 Cp 1.589860751 Kf Assume that the viscosity of the fluid is the same as at the wall 1 w From figure jh= 2.50E-02 hi 8.806477 (W / m 2 C ) Shell - side coefficient Choose baffle spacing Lb= Ds 5 3377.608 mm Tube pitch (pt)=1.25*do= 31.25 mm Cross-flow area As= ( pt d o ) * Ds * Lb 11.40824 m 2 pt Equivalent diameter de = 1.1 pt 2 0.917d o 2 0.017751 mm do Re = 634.4598 Pr = 1.727612687 Choose 25% baffle cut. From figure 169 jh= 2.00E-02 hs = 197.2752 W/m2.C Overall heat transfer coefficient d d o LN o 1 1 1 di 2k w U o ho hod d o 1 d h i id Uo= 152.4811 (W/m2 °C) Acceptable Pressure drop: Tube side From figure jf= 2.50E-02 Neglecting the viscosity correction term L / di u 2 2.5 pt N p 8 j f / 2 w pt 0.104043 pa Shell side From figure for Re = 634.4598 jf= 2.00E-02 Neglecting the viscosity correction term D L Pt 8 j f s t d e lb u 2 2 w 0.14 Pt 40.31546 pa Shell thickness 170 do di 1 hi P= 14.7 psig ri = 332.4411 in S= 13,700 psi EJ =0.85 Cc = 0.125 in t = 0.544973 in = 13.84232 mm Heat Exchanger (E-102) specification sheet Equipment Name E-102 Objective to heat hydrogen feed from the reactor (R-101) product Designer Hussain Butaleb Type Shell and tube Location After reactor (R-101) Material of Construction Carbon steel Insulation Quartz wool – Glass wool Operating Condition Shell Side Inlet temperature (oC) 311.64 Outlet temperature (oC) Inlet temperature (oC) 114.06 Outlet temperature (oC) 249 Number of passes 1 Number of Tubes 378039.5 Tube bundle Diameter (m) 16888.04 Thickness (mm) 13.84232 Q total (W) 1.42E+03 LMTD (oC) 56.62083 U (W/m2 oC) 152.4811 Heat Exchanger Area (m2) 185.5697 184.81 Tube Side 171 172 Steam Drum (V-102) A steam drum is a standard feature of a water-tube boiler. It is a reservoir of water/steam at the top end of the water tubes. The drum stores the steam generated in the water tubes and acts as a phase-separator for the steam/water mixture. The difference in densities between hot and cold water helps in the accumulation of the "hotter"-water/and saturated-steam into the steam-drum. Since the drum serves at high pressures and temperatures, it is expensive to manufacture and there is considerable economic incentive to keep it as small as possible. Two Phase Separator Design: A vapor-liquid separator is a device in which a liquid and vapor mixture is fed and the liquid is fall by gravity to the bottom of the vessel while the vapor travels upward to the top of the vessel. These separators are used after flashing a hot liquid across a valve (flash drum) .The most reason for using vapor-liquid separators is to recover valuable products. Design Procedure: 1. State assumptions. 2. Calculate the settling velocity in m/s using the following equation: U t 0.07 ( L V ) V , Where ρL is the liquid density (kg/m3) and ρv is the gas density (kg/m3). 3. Calculate the actual settling velocity in m/s by: Ua=0.15Ut. 4. Calculate the volumetric flow rates for both the vapor ( V v) and liquid (VL) in m3/susing: 173 mV VV V And mL VL L , Where mv, L is the mass flow rate for vapor and liquid in kg/h respectively. 5. Get the cross-sectional area in terms of Dv (minimum vessel diameter, m): Ac Dv 2 f v 4 , Where fv is the fraction of the total cross-sectional area occupied by vapor which equals 0.5. 6. Get an expression for the vapor residence time for the droplets to settle to liquid surface in terms of Dv: tr hv Ua , Where hv is the liquid level (m), hv=0.5Dv. 7. Get an expression for the actual residence time in terms of Dv: tra Lv Uv , Where Lv is the vessel length (m), Lv=4Dv. And Uv is the vapor velocity (m/s), Uv Vv Ac . 8. Find the value of Dv by equalizing tr and tra. (Solve tr-tra=0). Then find the length of the separator Lv=4Dv. 9. Calculate the thickness of the separator using the following equation: 174 t Pri Co , SE j 0.6P Where P is the operating pressure in psig (P=405 psig), r i is the radius of the vessel (ri=Dv/2 (in)), S is the stress value of carbon steel (S=13700 psia), E j is the joint efficiency (Ej=0.85 for spot examined welding), and C c is the corrosion allowance (Cc=1/8 in). These values were obtained from the metals table (in the Appendix B). Assumptions: The horizontal separator is assumed not to have a demister pad. Detailed Calculation: Operating conditions: T= 208 oC P= 264 psig. Design Consideration: rL= 1220 kg/m3 rV = 8.197 kg/m3 mv= 20243.31 kg/h mL= 24400 kg/h Calculating the settling velocity: U t 0.07 ( L V ) V = 0.85111 m/s Calculating the actual velocity: Ua = 0.15Ut = 0.15* = 0.12767 m/s Calculating both vapor and liquid volumetric flow rates: 175 o VL VV = 0.686 m3/s mV V = 0.00556 m3/s mL L Expressing the cross-sectional area in terms of Dv: o Ac Dv 2 f v 4 * Dv 2 *0.5 4 = 0.393 Dv2 m2 Expressing the residence time in terms of Dv: o tr hv Ua = 3.916 Dv s Expressing the actual residence time in terms of Dv: Uv Vv Ac = 1.746Dv-2 m/s Finding the value of Dv: o tra Lv Uv = 2.291 Dv3 s o tr-tra= Dv - Dv3 = 0 Dv= 1.3074 m Lv=4Dv= 4*1.3074 = 5.2296 m Calculating the thickness of the vessel: Ej =0.85 S = 13700 psi Cc = 0.125 in ri = Dv/2 = 0.6537 o t Pri Co SE j 0.6P = 0.7165 in = 0.0182 m Time hold up = 14.5 hr Volume = 9.946999 m3 176 Steam Drum Specification Sheet V-102 Equipment Name Steam Drum Objective Separate the steam (upward) from the water liquid (downward) Equipment Number V-102 Designer Hussain Butaleb Type Horizontal Separator Location After heater (E-105) Material of Construction Carbon steel Insulation Glass wool Operating Condition Operating Temperature (oC) 208 Operating Pressure (psig) 264 Liquid Density (kg/m3) 1220 Gas Density (kg/m3) 8.197 Gas Flow rate (kg/h) 20243.31 Liquid Flow rate (kg/h) 24400 1.3074 Height (m) 5.2296 Design Considerations Dimensions Diameter (m) Vessel (V-101) A vapor-liquid separator is a device in which a liquid and vapor mixture is fed and the liquid is fall by gravity to the bottom of the vessel while the vapor travels upward to the top of the vessel. These separators are used after flashing a hot liquid across a valve (flash drum) .The most reason for using vapor-liquid separators is to recover valuable products. 177 Vertical separators have the advantage of lower space requirement and easy to install control systems. Material of insulation depends on the operating temperatures, since temperature in the separator is not high so the possible materials that cover the temperature are glass fiber and mineral wool. Design Procedures and Equations: Properties Vapor flow rate (Mv) Kg/h 3342 Liquid flow rate (ML) Kg/h 44000 Vapor density (ρv) Kg/m3 0.20298 Liquid density (ρL) Kg/m3 1014.4 Inlet Pressure (P) psi 25 Max allowable working stress (S) psi 13700 Efficiency expressed as a fraction (Ej) 0.85 Allowance for corrosion (Cc) 0.125 Steel density Kg/m3 1- To estimate the settling velocity of the liquid droplets: 1 ut = 0.07 X [ (ρl − ρv ) 2 ] ρv = 4.948033 m/s ut = settling velocity, m/s ρv = vapor density, kg/m3 ρl = liquid density, kg/m3 178 7700 2- Volumetric flow rate: Vv = lv = kg ) s kg Vapor density ( 3 ) m Vapor flow rate ( kg ) s kg liquid density ( 3 ) m liquid flow rate ( = 4.573521 m3/s = 0.012049 m3/s 3- Volume held in vessel VHV = 10 * 60 * Lv = 7.229232 (m3) 4- Minimum vessel diameter Dv = [(4 * Vv ) / (pi * Us )]0.5 = 1.085111 (m) =42.72091 (in) Dv = minimum vessel diameter, m Vv = gas, or vapor volumetric flow rate, m3/s 5- Liquid depth Hv = VHV / [(pi / 4) * (Dv )2 ]= 7.821212(m) ri = Dv / 2= 3.99962 (m) = 0.542556 (in) Thickness = Cc + [(P * ri ) / (S * Ej – 0.6 * P)]= 0.170917 (in) =0.004341 (m) h = [3 * (Dv / 2)] + Dv + Hv + 0.4 = 10.93399 (m) CC = allowance for corrosion, in. Ej = efficiency of joints expressed as a fraction. S = maximum allowable working stress, psi. rj = inside radius of the shell, before corrosion allowance is added, in. 6- Area of vessel : Area of vessel = 2*pi*(dv/2)*ht= 37.25483 (m2) 7- Metal Volume of metal Vm = area of vessel*thickness = 0.161734 (m3) Weight of metal Wm= Vm*Steel density= 1245.35 (kg) 179 Specification sheet for separator V-101 Equipment Name Objective Separator To separate hydrogen (vapor) from the aniline and water (liquid) Equipment Number V-101 Designer Hussain Butaleb Type Vertical Location After cooler E-104 Material of Construction Carbon Steel Insulation Glass wall and quartz Operating Condition Operating Temperature (oC) 40 Operating Pressure (psi) 25 1.085111 Height (m) 10.93399 Dimensions Diameter (m) Storage Tank (T-101) A storage tank is a container, usually for holding liquids, sometimes for compressed gases (gas tank). The term can be used for reservoirs (artificial lakes and ponds), and for manufactured containers. Storage tanks are available in many shapes: vertical and horizontal cylindrical; open top and closed top; flat bottom, cone bottom, slope bottom and dish bottom. Large tanks tend to be vertical cylindrical, or to have rounded corners transition from vertical side wall to bottom profile, to easier withstand hydraulic hydrostatically induced pressure of contained liquid. Most container tanks 180 for handling liquids during transportation are designed to handle varying degrees of pressure. The top space in the tank for the vapor pressure of the component will be 12 % of the tank volume. Design and Calculation: For Tank (T-101) 1- Assume: Cylindrical tank Square shape from inside (D=0.2H) Daily storage (time hold-up=12 hr) 2-Volume of the liquid: Volume of the liquid = Total mass flow rate in* time hold-up = 190.8 m3 Where time hold-up is the time where the liquid is hold inside the tank =12 hours. 3- The total volume: The total volume=volume of liquid/0.12 = 1590 m3 4-The actual diameter: The actual diameter=(5*the total volume/π)^(1/3) = 13.62948 m 5- The actual high: The actual high = 0.2* diameter = 2.725895 m 6-Area of the storage tank: Area of the storage tank =V/H = 583.2946 m2 7- Thickness: The best materiel is construction is carbon steel. 181 t = (P r i / S E – 0.6P) + Cc P : internal pressure (kpa gage) r i : internal radius of shell (m) E : efficiency of joints = 0.85 S : working stress (kpa) = 94500 Cc : allowance for corrosion (m ) = 0.003175 ri(m) = 6.814738 t(m) = 0.01178 8- Vapor pressure: Vapor pressure = Log10 P* = A- (B/C+T) = 760 mmhg Specification sheet of Tank T-101 Equipment Name T-101 Objective NitroBenzene feed tank Designer Hussain Butaleb Location The first equipment Material of Construction Carbon steel Insulation Quartz Wool Operating Condition Operating Temperature (oC) 30 Diameter (m) 13.62948 Operating Pressure (Pisa) 14.7 Height (m) 2.725895 Feed Flow Rate (kmole/h) 127.0822199 Thickness (m) 0.01178 Vapor Pressure (atm) 1 583.2946 Total Area (m2) 182 Hydro cyclone (T-102) Hydrocyclones, also known as liquid cyclones, are an important device for the separation of solid-liquid suspensions. The principle employed is centrifugal sedimentation, i.e., the particles in the suspension are subjected to centrifugal forces, which cause their separation from the fluid. Like centrifuges, which make use of the same principle, hydrocyclones do not have moving parts, require a low installation and maintenance investment and are simple to operate. Hence, these devices are widely utilized in mineral, chemical, petrochemical, textile and metallurgical industries. The hydrocyclone separates solid and liquid or liquid and liquid by the difference in density between the fluid and the material to be separated in this equipment. Due to the fluid acquires a spiraling motion caused by the tangent feeding, the material of larger density is thrown against the wall of the hydrocyclone and dragged to the underflow while the one of smaller density proceeds for the overflow, forming a free vortex (outer vortex) and a forced vortex (inner vortex) in agreement with Figure ………… 183 The typical proportions of the hydrocyclone are shown in figure ……… Design equations: 𝑑50 𝐷𝑐 3 𝜇 = 4.5 [ 1.2 ] 𝐿 (𝜌𝑠 − 𝜌𝐿 ) Where 𝑑50 = 𝑡ℎ𝑒 𝑝𝑎𝑟𝑡𝑖𝑐𝑙𝑒 𝑑𝑖𝑎𝑚𝑒𝑡𝑒𝑟 𝑓𝑜𝑟 𝑤ℎ𝑖𝑐ℎ 𝑡ℎ𝑒 𝑐𝑦𝑐𝑙𝑜𝑛𝑒 𝑖𝑠 50% 𝑒𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑡, 𝜇𝑚 𝐷𝑐 = 𝑑𝑖𝑎𝑚𝑒𝑡𝑒𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑐𝑦𝑐𝑙𝑜𝑛𝑒 𝑐ℎ𝑎𝑚𝑝𝑒𝑟, 𝑐𝑚 𝜇 = 𝑣𝑖𝑠𝑐𝑜𝑠𝑖𝑡𝑦, 𝑐𝑒𝑛𝑡𝑖𝑝𝑜𝑖𝑠𝑒 (𝑚𝑁 𝑠 ) 𝑚2 𝐿 = 𝑓𝑒𝑒𝑑 𝑓𝑙𝑜𝑤 𝑟𝑎𝑡𝑒 𝑙/𝑚𝑖𝑛 𝜌𝐿 = 𝑑𝑒𝑛𝑠𝑖𝑡𝑦 𝑜𝑓 𝑡ℎ𝑒 𝑙𝑖𝑞𝑢𝑖𝑑, 𝑔/𝑐𝑚3 𝜌𝑠 = 𝑑𝑒𝑛𝑠𝑖𝑡𝑦 𝑜𝑓 𝑡ℎ𝑒 𝑠𝑜𝑙𝑖𝑑, 𝑔/𝑐𝑚3 184 Thickness: The best materiel is construction is carbon steel. t = (P r i / S E – 0.6P) + Cc P : internal pressure (kpa gage) r i : internal radius of shell (m) E : efficiency of joints S : working stress (kpa) Cc : allowance for corrosion (m ri(m) t(m) Area (m2) = 3.14*r2*h Volume (m3) = area*h /3 Tank (T-102) T-102 is a simple solid separator used to separate solids from the mixture. Hydrocyclone was chosen because it is a simple separator that can be used over the particle size range from 4 to 500 𝜇𝑚. The efficiency of the hydrocyclone is assumed to be 95% and according to equation …… Where 𝜇 = 7 𝑐𝑃 𝐿 = 295.18 𝐿 𝑚𝑖𝑛 𝜌𝑠𝑜𝑙𝑖𝑑 = 1.601808 𝑔 𝑐𝑚3 185 𝜌𝑎𝑖𝑟 = 1.2344 𝑔 𝑐𝑚3 𝐷𝑐 3 (7) 50 = 4.5 [ ] (295.18)1.2 (1.601808 − 1.2344) The chamber diameter of the hydrocyclone Dc = 8.127753 cm Height = 1.6 m The best materiel is construction is carbon steel. t = (P r i / S E – 0.6P) + Cc P : internal pressure (kpa gage) r i : internal radius of shell (m) E : efficiency of joints = 0.85 S : working stress (kpa) = 94500 Cc : allowance for corrosion (m ) = 0.003175 ri(m) = 0.004064 t(m) = 0.003189 Area = 82.97183 m2 Volume = 44.25164 m3 186 Specification sheet for hydro cyclone (T-102) Equipment Name T-102 Objective To separate the air from the solid waste catalyst Designer Hussain Butaleb Location After the reactor (R-101) Material of Construction Carbon steel Operating Condition Volumetric flow rate (Air) 161.887 Chamber Diameter Dc (cm) 8.127753 Volumetric flow rate (Solid) 133.2925 Thickness (cm) 3.189 Distillation Column and Stripper Distillation is probably the most widely used separation process in chemical and allied industries. The separation of liquid mixtures by distillation depends on differences in volatility between the components. The greater the relative volatilities, the easier the separation. The basic equipments required for continuous distillation are a reflex column, a condenser, and a reboiler. Vapor flows up the column and liquid counter-currently down the column. The vapor and liquid are brought into contact on plates or packing. Part of the condensate from the condenser is reflex back to the top of the column, while part of the bottom liquid is vaporized in the reboiler and returned to provide the vapor flow. In the section below the feed , the more volatile component and stripped from the liquid and this is known as stropping section .Above the feed, the concentration of the more volatile components is increased and this is called enrichment ,or more commonly, the recifying section. 187 Stripping works on the basis of mass transfer. The idea is to make the conditions favorable for the component, A, in the liquid phase to transfer to the vapor phase. This involves a gas-liquid interface that A must cross. The total amount of A that has moved across this boundary can be defined as the flux of A, NA. Stripping is mainly conducted in trayed towers (plate columns) and packed columns, and less often in spray towers, bubble columns, and centrifugal contactors. The Different Types of Distillation There are several methods of distillation depending on the procedure and the instrument setup. Each distillation type is used for purification of compounds having different properties. Following are the common types. Simple Distillation Simple distillation is practiced for a mixture in which the boiling point of the components differ by at least 70° C. It is also followed for the mixtures contaminated with nonvolatile particles (solid or oil) and those that are nearly pure with less than 10 percent contamination. Double distillation is the process of repeating distillation on the collected liquid in order to enhance the purity of the separated compounds. Fractional Distillation Those mixtures, in which the volatility of the components is nearly similar or differs by 25° C (at 1 atmosphere pressure), cannot be separated by simple distillation. In such cases, fractional distillation is used whereby the constituents are separated by a fractionating column. In the fractionating column, the plates are arranged and the compound with the least boiling point are collected at the top while those with higher boiling point are present at the bottom. A series of compounds are separated simultaneously 188 one after another. Fractional distillation is used for the alcohol purification and gasoline purification in petroleum refining industries. Steam Distillation Steam distillation is used for the purification of mixtures, in which the components are temperature or heat sensitive; for example, organic compounds. In the instrument setup, steam is introduced by heating water, which allows the compounds to boil at a lower temperature. This way, the temperature sensitive compounds are separated before decomposition. The vapors are collected and condensed in the same way as other distillation types. The resultant liquid consists of two phases, water and compound, which is then purified by using simple distillation. Steam distillation is practiced for the large-scale separation of essential oils and perfumes. Vacuum Distillation Vacuum distillation is a special method of separating compounds at pressure lower than the standard atmospheric pressure. Under this condition, the compounds boil below their normal boiling temperature. Hence, vacuum distillation is best suited for separation of compounds with higher boiling points (more than 200°C), which tend to decompose at their boiling temperature. Vacuum distillation can be conducted without heating the mixture, as usually followed in other distillation types. For the separation of some aromatic compounds, vacuum distillation is used along with steam distillation. Short Path Distillation Thermal sensitive compounds can also be separated by following short path distillation. In this technique, the separated compounds are condensed immediately without traveling the condenser. The condenser is configured in a vertical manner between the heating flask and the collecting flask. Similar to vacuum type, the pressure is maintained below the atmospheric pressure. 189 Short path distillation is used for the separation of organic compounds with high molecular weight, especially in the pharmaceutical industries. Another method of classifying distillation is based on the column type used in the process. There are two types of distillation columns namely, batch and continuous. Columns for the distillation process can be of the following types: 1. The 'PACKED' Tower. 2. The 'TRAY' Tower. 1. THE PACKED TOWER As its name implies, the packed tower is a vertical, steel column which contains 'Beds' of packing material which are used to bring the rising vapours into intimate contact with falling liquid within the tower. The heat added to the mixture before entering the tower partially vaporises the mixture and the vapours rise up the tower and begin to cool. The liquid falls towards the bottom of the tower. At the tower bottom, in general, more heat is added to the liquid by a 'Reboiler' which may be steam heated or a fuel fired furnace type. The addition of heat here causes more vapours to rise up the column. As the two phases of the mixture - falling liquid and rising vapour - come together, light components are stripped out of the liquid and enter the gas phase while heavy components in the vapour are condensed into the liquid phase. In this way, as the vapour rises and gradually cools, it becomes lighter and, as the liquid falls, it becomes hotter and heavier. With this type of distillation column there is generally only a top and bottom product. The quality of the products depends upon the height of the tower, 190 the number of contacting devices, the tower temperature and pressure and their control, and the velocity of the rising vapours. The type of packing materials used, also plays a part in the separation process. Distillation Packing types: 2. THE TRAY TYPE TOWER This is also a tall, cylindrical column. Inside, a series of trays are placed, one above the other. The trays are used to bring the rising vapour and falling liquid into intimate contact. Tray towers do the same job as packed towers but they are very much more efficient in the separation process than packed towers and, they are also more costly. There are various types of tray in use and the type selected depends upon the degree of product purity required, the type of fluids, fluid velocity and other process parameters of the system. 191 Distillation Trays: Sieve or Perforated Trays Sieve trays are made from a flat perforated plate which allows the passage of vapor through the liquid. They are the most economical tray option when low turndown is required. They have better anti-fouling characteristics and lower pressure drop than valve or bubble cap trays. Perforations are typically 1/2” diameter, but Ambani Metals can provide designs with smaller hole size. Valve Trays Ambani Metals valve trays have better turndown and slightly higher efficiency than sieve trays. Ambani Metals offers different valve selections including fixed valves, floating valves and combination valves. Valve trays cost more than sieve trays, but are more economical than bubble cap trays. One Piece Valve This is the most commonly used valve. This design features integral legs for tray decks up to 1/4” thickness. Anti-stick dimples are standard. Other 192 options include heavy/light valve combination, flush designs and nonrotating tabs in the tray deck. 3 Piece Valve This valve consists of a light weight orifice plate, a valve, and a restraining cage. This design is recommended for higher turndowns. Fixed Valve This valve is integral with the tray deck. This is the preferred option for fouling conditions. However, it provides lower turndown and less efficiency than floating valves. One Piece Rectangular Valve < Ambani Metals offers rectangular valves, caged valves, and also venturi type openings to provide lower pressure drop. Bubble Cap Trays 193 Bubble cap trays are best suited for applications with low liquid flows and/or high turndown ratios. In terms of capacity, however, they are slightly lower than valve or sieve trays. They are also the most expensive tray option. Dual Flow Trays Dual flow trays are sieve trays that do not have downcomers. The term dual flow comes from the countercurrent flow of the vapor and liquid through the perforations. Typical perforation sizes range between 1/2” and 1” in diameter. Dual flow trays best suit systems containing a moderate to high solids content or polymerizable compounds. High open area dual flow trays have a higher capacity and lower pressure drop than comparably spaced fractionation trays. However, their primary drawback is their narrow operating range. Most often, they are efficient when used in smaller tower diameters. Dual flow trays are also sensitive to levelness and may be subject to gross liquid and vapor flow partitioning through the deck if not level. 194 Baffle Trays Because of their open design, baffle trays are used in applications requiring high capacity, fouling resistance and low pressure drop. Vapor-liquid contacting takes place when the vapor passes through a curtain of liquid falling between trays, or through rivulets of liquid flowing through tray deck perforations. Tray decks may be level or slightly inclined and typically occupy 40-60% of the tower cross-sectional area. “Disk and donut” trays have circular baffles and are a popular variant of this deign. Baffle trays are well suited for heattransfer applications including heavy oil refining and petrochemical oil refining and petrochemical heat transfer services with high solids or petroleum coke content. High Strength Trays For applications with potentially damaging uplift surges, Ambani Metals can equip trays with special heavy duty features. These include special fasteners, increased tray thickness or additional support beams. Depending upon specific operating criteria, design adjustments can be made to take into account parameters such as corrosion, temperature, vibration and pressure surges. Contact your Ambani Metals separation specialist for design assistance. 195 Design and equations for distillation: Nomenclature Symbol Definition FLv Liquid vapor flow factor Lw Liquid mass flow rate (kg/s) Vw vapor mass flow rate (kg/s) ρv Vapor density (kg/m 3) ρL Liquid density (kg/m 3) uf flooding vapor velocity (m/s) u`v flooding at maximum flow rate (kg/s) Ac Total column cross sectional area (m2) Dc Column diameter (m) Ad cross sectional area of down comer (m2) An Net area (m2) Aa Active area (m2) Ah Hole area (m2) Aap Clearance area (m2) Ap Perforated area (m2) how Weir crest (mm) liquid u`h Min. vapor velocity (m/s) hd Dry plate drop (mm) hr Residual head (mm) 196 hap Out let weir height (mm) hdc Head loss in downcomer (mm) T thickness of cylindrical shell (in) P maximum allowable internal pressure (psi) S maximum allowable working stress (psi) Ri : inside radius of shell (in) Ej efficiency of joint expressed as fraction Cc allowance for corrosion (in) 197 Design procedures: 1. Collect, or estimate, the system physical properties. 2. Select trial plate spacing. 3. Calculate Nmin. 4. Calculate the height of the column. 5. Calculate the column diameter based on flooding consideration. 6. Make a trial plate layout: downcomer area, active area, hole area, hole size, weir height. 7. Calculate the weeping rate. 8. Calculate the plate pressure drop. 9. Calculate downcomer back-up. 10.Calculate residence time. 11.Calculate heat transfer area for the condenser and reboiler. 12.Calculate thickness. 13.Calculate cost. Equations: Lquid vapor flow rate: For top and bottom: FLV L V v L 0.5 Where: FLV= liquid vapor flow rate. L= liquid flow rate. 198 V= vapor flow rate. Find K1 from figure: Flooding velocity: ( V ) U f K 1 L V 0.5 Where: Uf= flooding velocity. K1= constant. Actual velocity: U V Percentage Flooding x U f Where: Uv= actual velocity. Maximum volumetric flow rate: Vmax MwtV V Where: 199 Vmax= maximum volumetric flow rate. MwtV= vapor molecular weight. Nmin: Nmin = (log(xd/1-xd)*(xw/1-xw)) /(log volatility) Net area required: Anet Vmax UV Anet= net area required. Diameter: 4 D Anet 0.5 Where: D = diameter. Max volumetric liquid rate: max volumetric liquid rate LxMwt L Where: L=liquid flow rate. Choose plat pass from figure 200 Column area: AC 4 D2 Where: AC= column area. Net area: An AC Ad Where: An= net area. Active area: Aa Ac 2 Ad Aa= active area. Hole area: Ah 0.1xAa Ah= hole area. From figure get lw/Dc ; 201 Weir length: weir length 0.75D Wier crest: 2 max how max liquid rate 3 750 L xweir length 2 min liquid rate 3 min how 750 xweir length L Where: how= weir crest. Vapor velocity: U h (min) K 2 0.9(25.4 hole diameter) 0.5 Where: Uh= vapor velocity. Choose Turndown percentage = 70% From figure get K2 202 Actual min. vapor velocity: actual min . vapor velocity min . vapor rate Ah Where: Ah= hole area. From figure get Co Pressure drop through dry plate: U hd 51 h Co 2 V L Where: hd= pressure drop through dry plate. Co= orifice coefficient. Residual head: hr 12.5 x10 3 L Where: 203 hr= residual head. Height of bottom edge of apron above plate: hap hw 10 Where: hap= height of bottom edge of apron above plate. hw= weir height. Area under apron Aap : area under apron Aap weir lengthxhap Back-up in downcomer: max . liquid rate hdc 166 xA L ap 2 hb hw hdc ht how Where: hb= back-up in downcomer. Downcomer residence time: tr hb xAdx L Lwd Where: tr= downcomer residence time. Lwd= minimum liquid flow rate. UV volumetric flow rate An 204 Thickness: Pxri CC t SxEj 0.6 xP Where: t= thickness. P= pressure. r= radius. S= working stress. Ej= efficiency of joints. CC= allowance for corrosion. Design for distillation: Properties: Top properties Vapor rate (V) = 2.91E+03 kmol/hr ρv = 3.28769 kg/m3 MW = 107.2743 Liquid rate (L) = 2.42E+03 kmol/hr ρL = 1050.493 kg/m3 MW = 122.5036 Surface Tension = 4.74E+01 N/m Bottom properties Vapor rate (Vm) = 2.90E+03 kmol/hr ρv = 3.906938 kg/m3 205 MW = 1.23E+02 Liquid rate (Lm) = 2.91E+03 kmol/hr ρL = 981.5581 kg/m3 MW = 123.0347 Surface Tension = 3.77E+01 N/m Calculation: Number of Stages (No. of stages)min = 5 Efficiency = 75% (Assumed) Actual stages = 6 Liquid vapor flow rate: For top: FLV L V 0.5 v = 0.046591 L For bottom: FLV L V 0.5 v = 0.063308 L Where: FLV= liquid vapor flow rate. L= liquid flow rate. V= vapor flow rate. Take tray spacing 0.75 m Find K1 from figure: 206 Bottom K1 =1.00E-01 Top K1 = 1.5E-01 Flooding velocity: For top: 0.5 ( V ) = 12.66702 m/s U f K 1 L V 0.5 ( V ) = 7.147454 m/s U f K 1 L V Where: K1= constant. Design for 85% flooding at maximum flow rate Actual velocity: For top: U V Percentage Flooding x U f = 10.76697 m/s For bottom: U V Percentage Flooding x U f = 6.075336 m/s Maximum volumetric flow rate: For top: Vmax MwtV V = 3.26E+01 m3/s For bottom: Vmax MwtV V = 1.84E+01 m3/s Where: 207 MwtV= vapor molecular weight. Xw= 0.990221 Xd= 0.724112 Volatility= 0.45 Nmin= 4.574458 Net area required: For top: Anet Vmax = 3.440657 m2 UV For bottom: Anet Vmax = 3.437593 m2 UV Take downcomer area as 12% of total Diameter: 4 D Anet 0.5 = 2.09 m Max volumetric liquid rate: max volumetric liquid rate LxMwt L = 0.101322 m3/h Where: L=liquid flow rate. Column area: AC 4 D2 = 3.440759 m2 Net area: 208 An AC Ad = 3.027868 m2 Active area: Aa Ac 2 Ad = 2.614977 m2 Hole area: Ah 0.1xAa = 0.261498 m2 Taking Weir height (hw) = 50 mm Hole diameter (dh) = 5 mm Plate thickness = 5 mm Weir length: weir length 0.75D = 1.611658 m Wier crest: 2 max how max liquid rate 3 = 750 L xweir length 118.5807 mm liquid 2 min liquid rate 3 = 93.48587 mm liquid min how 750 xweir length L Vapor velocity: U h (min) K 2 0.9(25.4 hole diameter) 0.5 = 6.900747 m/s Actual min. vapor velocity: actual min . vapor velocity min . vapor rate Ah Where: Ah= hole area. 209 = 49.19689 m/s Pressure drop through dry plate: U hd 51 h Co 2 V L = 1648.089 mm liquid Where: hd= pressure drop through dry plate. Co= orifice coefficient. Residual head: hr 12.5 x10 3 L = 12.73485 mm liquid Height of bottom edge of apron above plate: hap hw 10 = 40 mm liquid Where: hap= height of bottom edge of apron above plate. hw= weir height. Area under apron Aap : area under apron Aap weir lengthxhap = 0.064466 m2 Back-up in downcomer: 2 max . liquid rate = 410.0589 mm hdc 166 xA L ap hb hw hdc ht how = 2.408044 m Downcomer residence time: tr hb xAdx L = 9.813 s Lwd Where: 210 tr= downcomer residence time. Lwd= minimum liquid flow rate. UV volumetric flow rate An = 6.070 Thickness: Pxri CC = 5.0 mm t SxEj 0.6 xP Where: For carbon steel t= thickness. P= pressure. r= radius. S= working stress. Ej= efficiency of joints. CC= allowance for corrosion. ri = 41.20204 in P = 20 psi S = 13700 psi Ej = 0.85 (for carbon steel) Cc = 1.25E-01 in 211 Specification sheet of distillation (C-101) Equipment Name Distillation Objective To mix hydrogen gas with nitrobenzene gas Equipment Number C-101 Designer Hussain Butaleb Location After cooler (E-101) Material of Construction Carbon steel Insulation Mineral wool Operating Condition Operating Temperature (oC) 140.9 Operating Pressure (psi) 30 Feed Flow Rate (kgmol/h) 497.520473339072 Diameter (m) 2.09 Height (m) 6.6 Thickness (mm) 5 Stripper (C-2101) Typical applications: Stripping is commonly used in industrial applications to remove harmful contaminants from waste streams. One example is decontaminating soils almost completely. Steam is also frequently used as a stripping agent for water treatment. Volatile organic compounds are partially soluble in water and because of environmental considerations and regulations, must be removed from groundwater, surface water, and wastewater. These compounds can be present because of industrial, agricultural, and commercial activity. Packed column: 212 There are a number of advantages to the packed column design. Improvements can yield proof of about 190, and the still can be run either continuously or on a batch basis. On a small scale, packed columns are inexpensive to build and quite easy to operate. However, on a large scale the design presents problems. Design of Stripper Columns: 1- Estimate the slope m from equilibrium data of process. 2- Calculate the amount mGm/Lm, and y1/y2 to determine NOG from figure. Assume 38mm and 1.5 ceramic interlocks saddles. 3- Calculate Flow of liquid vapor: FLV Lw Vw V L 4- Design for pressure drop 125mmH2O/m packing and get K4 from the figure. 213 5- Calculate percentage flooding = (K4 / K4 @flooding )^.5 *100 6- Calculate Vmin and V actual: Vmin = L(x1-x2)/m(y1-y2) V actual = Vmin *1.5 7- Calculate gas mass flow rate per unit column cross sectional area. 8- Calculate column area required in m² = gas flow rate /V*w 9- Calculate diameter and round of diameter and approximate area. 10- Estimate packing size to column diameter ratio. 11- Estimating HOG and height of the column using figures and equations: 214 215 12- Get HOG = Hg + ( HL * mGm/Lm), and z = HOG * NOG. Stripper (C-201) (Packed) Feed Property Gas Liquid Flow rate (Kg/h) 2.28E+03 6.47E+03 Flow rate (Kgmole/h) 1.17E+02 3.59E+02 Density р (Kg/m3) 0.648029375 947.674435 Viscosity µ (N s/m2) 9.27E-03 2.77E-01 Molecular weight (g/mol) 19.44657143 18.0370529 Surface tension (N/m) - 58.4970599 m slop of the equilibrium = 0.0625 m Gm/Lm = 2.04E-02 y1/y2 = 32.30769231 From fig: NOG = 0.5 Column Diameter Gas Flow rate = 6.33E-01 Kg/s Liquid Flow rate = 1.797301255 Kg/s Select 38mm (1 1/2) in ceramic Intalox saddles From Table: Fp = 35 m-1 FLV = 0.074209109 216 Design for pressure drop 125mm H2O/m packing From Figure: K4 = 2.2 At flooding K4 = 4 Percentage Flooding = 74.16198487 % L (kg/h) 7101 x1 0.018787 x2 0.006161 y1 0 y2 0.99975 y2' 0.000003 M 0.0625 Vmin 1434.874335 V actual = Vmin *1.5 2152.311502 V*w = 2.577539424 Kg/m2.s Column Area required = 2.46E-01 m2 Actual Diameter = 1 m Column Area = 0.78525 m2 Packing size to column diameter ratio = 26.3157895 Large packing size can be considered Percentage of flooding for selected diameter = 2.32E+01 217 Estimate for HOG DL= 1.8E-09 m2/s DV= 0.00000152 m2/s (Sc)v = 9406.149061 μ /ρ*DL (Sc)L = 162563.2521 μ /ρ*DL L*w = 2.28882681 From Figure 11.41 K3= 1 From Figure 11.42 ψh= 24 From Figure 11.43 φh= 1.00E-01 HOG can be expected to be around = 5 m Estimate Z(height) = 2.5 m Diameter Correction =1 m f1=f2=f3 =1 HG = 36.4529333 m HL = 11.93595174 m HOG = 3.67E+01 m Z = 18.3 m 218 Specification sheet of stripper (C-201) Equipment Name Stripper Objective To separate water and aniline (vapor) from waste water (liquid) Equipment Number C-201 Designer Hussain Butaleb Location After aniline-water tank (T-202) Material of Construction Carbon steel Insulation Mineral wool Operating Condition Operating Temperature (oC) 100.1 Operating Pressure (psi) 15 Feed Flow Rate (kgmol/h) 475.9659 Diameter (m) 1 Height (m) 18.3 HOG 36.7 NOG 0.5 Student name :Abdulhameedyousef al-awadhi 219 ID number : 208115609 Equipment name Equipment number Distillation column C-203 Cooler V-103 Cooler E-104 Heat exchanger E-201 Heater E-202 Compressor K-101 Tank T-103 Tank T-104 Tank V-104 Distillation Columns Introduction :Distillation is the most common form of separation technology used in petroleum refineries, petrochemical and chemical plants and natural gas processing plants. As a matter of fact the separation of liquid flows depends on difference in volatility between the components of the feed, whereas the compound with higher relative volatilities will be separated first. It is possible to classify distillation according to many things: Firstly… ( to the types of distillation which can be generally divided into two types):1) Continuous distillation: This receives a feed, and parts it into two or more products continuously. In this specific distillation the principle is 220 that at any point the amount entering the still and the amount coming out from the still must be equal each other. It is widely used with large volume products like benzene, plastic, jet fuel and monomers. 2) Batch distillation: receives on lot (or batch) at a time of feed and divide it into products by selectively removing the more volatile fractions over time. That's why batch distillation used for smaller volume products and in plants that produce many of various products but use the same still for these multiple products (in different batches). Secondly… ( to equipment typewhich can be either one of the following type ):1) Trays (or Plates): This forces a rising vapor to bubble through a pool of descending liquid. 2) Packing: creates a surface for liquid in order to extend on. For the sake of mass-transfer between the liquid and vapor; the thin liquid film must have a great surface area. Fig1 : structured of packing 221 Types of plates: 1) Sieve plates: This is the simplest type of cross- flow plate. The vapor passes through perforation in the plate and the liquid is retained on the plate by the vapor flow. At low flow rates liquid will weep through the holes reducing the plate efficiency. The perforations are usually small holes. Fig2 : Sieve plate 2) Bubble cap plates : The vapor passes up through short pipes called risers, covered by a cap. The bubble cap plate is traditional, oldest, type of cross flow plate. Fig3 : shows typical bubble-cap trays in a distillation tower. 222 3) Valve plates:Valve plates are essentially sieve plates with large diameter holes covered by movable flaps which lift as the vapor flow increases. As the area for vapor flow varies with the flow rate, valve plates can operate efficiently at lower flow rates than sieve plates. Thirdly … ( to process type):1) Refining 2) petrochemical 3) Chemical 4) gas treating. Fourthly … (to distillation process configuration):1) Distillation 2) absorption 3) stripping 4) azeotropic 5) extractive 6) complex. Main Components of Distillation Columns : A vertical shell in which the separation of liquid components is accomplished. Column internals, for example trays and/or packings. A reboiler for supplying the required vaporization for the distillation process. A condenser , its main function is to cool and condense the vapor coming out from the top of the column A reflux drum, in order to recycle the liquid reflex this reflux drum is used to hold the condensed vapor from the top of the column. 223 Fig4 :A typical distillation unit with a single feed and two product streams. Fig5 : the vapor moves up the column, and as it exits the top of the unit, it is cooled by a condenser. Fig6. Shows the heat is supplied to the reboiler to generate vapor. 224 Fig7 : Distillation column 225 1.1.4.2. Calculation Procedure 1. Specify the properties of outlets streams: (flow rate, density and surface tension) for both vapor and liquid from HYSYS. 2. Calculate the maximum liquid and vapor outlet flow rate. 3. Choose tray spacing and then determine K1 and K2 . 4. Calculate correction factor for Bottom K1 and Top K1. 5. Design for X% flooding at maximum flow rate for top and bottom part of distillation. 6. Calculate the maximum flow rates of liquid. 7. Calculate Net area required. 8. Take down comer area as %Y of the total column Cross sectional area. 9. Calculate the column diameter. 10.Calculate the column height using the actual number of stage. 11.Calculate column area, down comer area, active area, net area, hole area and weir length. 12.Calculate the actual min vapor velocity. 13.Calculate Back-up in down comer. 14.Check residence time. 15.Check entrainment. 16.Calculate number of holes. 17.Calculate area of condenser and reboiler. 18.Calculate Thickness of the distillation. 19.Calculate the feed point location. 226 20.Calculate cost. symbol Nomenclature V Vapor flow rate (Kmol/hr) L Liquid flow rate (Kmol/hr) ρ Density (Kg/m3 ) M.Wt Molecular weight FLV Liquid vapor flow factor K1 Constant uf Flooding vapor velocity (m/s) uv Designed vapor velocity (m/s) Dc Column diameter Ac Column area Ad Downcomer area An Net area Aa Active area Ah Hole area Iw Weir length hw Weir hight dh Hole diameter Lwd Maximum liquid rate how Weir crest mm liquid uh Minimum vapor velocity (m/s) Co Orifice coefficient hd Dry plate drop mm liquid hr Residual head mm liquid ht Total plate drop mm liquid hap Height of the bottom edge of the apron above the plate (mm) Aap Clearance area under the downcomer (m2 ) hdc Head loss in the downcomer mm hb Downcomer back-up mm tr Residence time (sec) 227 Hc Column hight Q Heat flow (W) ri Inner diameter (inch) S Maximum allowable working stress (psi) Ej Efficiency of joints expressed as fraction Cc Allowance for corrosion m distillation column (T-101) Assumptions1) Tray column. 2) Sieve plate. 3) Material of the distillation is carbon steel. 4) Plate spacing= 0.6 m 5) Efficiency = 51% 6) Flooding % = 85% 7) Weir height = 45 mm 8) Hole diameter = 4 mm 9) Plate thickness =5 mm 10) downcomer area 12% of total 228 Distillation Column sample Calculation (C-203) Table1: (C-203) column properties: Top Bottom Unit Vapor rate (Vn) 5930.5 3500 kmol/hr Mass Density for Vapor ρv 1.027 9.2962 kg/m3 Molecular Weight (M.Wt) 93.74 92.45 Liquid rate (Ln) 124 5672.2 kmol/hr Mass Density for Liquid ρL 909.57 1038.3 kg/m3 Molecular Weight (M.Wt) 93.74 123.06 Surface Tension 0.028495 0.45945 N/m Number of Stages: Table 3-2 Actual and Theoretical number of stage Number of stages 50 Efficiency 80% Actual number of stages 56 Column diameter: Liquid vapor flow factor: Top Bottom unit Mass Density for Vapor ρv 1.027 9.2962 kg/m3 Mass Density for Liquid ρL 909.57 1038.3 kg/m3 Surface tension 0.028495 4.5945 N/m 229 Bottom = FLV = (L/V)*(ρv/ ρL)0.5 =0.15334683 Top = FLV = (L/V)*(ρv/ ρL)0.5 = 0.0329432 Take plate spacing as 0.6 m Fig1: Flooding velocity for sieve plates From the figure above:- Base K1 = 0.009 Top K1 = 0.01 Correction for surface tensions Base K1 = 0.1.68E-01 Top K1 = 1.07E-01 Flooding velocity: Base = uf = K1((ρL- ρv)/ ρv)0.5 = 3.192532 (m/s) Top = uf = uf = K1((ρL- ρv)/ ρv)0.5 =1.772311 (m/s) Design for 85% flooding at maximum flow rate Base uv = uf*0.85 = 1.506464 (m/s) Top = uv = uf*0.85 = 2.713652 (m/s) 230 Maximum volumetric flow rate Bottom = Vmax= Vn*M.Wt/ρv*3600 = 9.668676 (m3/s) Top = Vmax= Vn*M.Wt/ρv*3600 =7.51819 (m3/s) Net area required: Bottom = A=Vmax/uv = 6.418125 (m2) Top = A=Vmax/uv = 2.770506 (m2) “Taking downcomer area as 12 per cent of total” Column cross-sectional area = 3.2407 /(1 – 0.12 ) = 7.293324 (m2) Base = Top = = 2.5517 /( 1 – 0.12 ) = 3.148303 (m2) Coloumn diameter: Bottom = D = (Anet *4/π)0.5 = 3.047318 (m) Top = D = (Anet *4/π)0.5 = 1.002135 (m) Use same diameter above and below feed D = 3.04731816 (m) = 10 (ft) Column Height: Total height = H=(Number of stage * Plate spacing)+Clolumn Diameter = 36.6473182 (m) = 117 (ft) Maximum volumetric liquid rate = ( LN*M.Wt)/(ρL*3600) = 0.186742 (m3/s) 231 Fig2: Selection of liquid flow arrangment From the figure above: single pass plate is used Provisional plate design: Column diameter = Dc = 3.04731816 (m) column area = (3.14/4)*(Dc^2) = 7.29194769 (m2) Down comer area Ad = 0.87503372 (m2) Net area = An = Ac – Ad = 6.41691397 (m2) Active area = Aa = Ac - 2*Ad = 5.54188025 (m2) Hole area = Ah = 10% of Aa= 0.55418802 (m2) 232 Fig3: Relation between down comer are and weir length From the figure above: = 12 Lw/Dc = 0.76 Weir Length = lw= 2.3159618 (m) Take weir height = hw = 50 (mm) Hole diameter (dh) = 5 (mm) Plate thickness = 5 (mm) Check weeping: Maximum liquid rate Lw = (Ln*Mwt)/3600 = 193.8947 (kg/s) Turndown percentage = 0.70 Minimum liquid rate = Lwd *0.8 = 135.7263 (kg/s) Maximum = how =750*(Lw/(ρLlw))2/3 = 139.980991 (mm liquid ) Minimum = how =750*(Lw/(ρLlw))2/3 = 110.357306 (mm liquid) At minimum rate = hw + how = 160.3573 (mm liquid) 233 Fig4: Weep point correlation (Eduljee, 1959) From the figure above: K2 = 31.05 Minimum vapor velocity through hole: uh (min) = (K2-0.90(25.4-dh))/ρv0.5= 4.162065 (m/s) Actual minimum vapor velocity = Minimum vapor rate/Ah = 12.21259 (m/s) So minimum operating rate will be well above weep point. Plate pressure drop: Dry plate drop Maximum vapor velocity through holes (uh) = Bottom Vmax/Hole area Ah=17.44656 (m/s) 234 Figure 3-12 Discharge coefficient, sieve plates (Liebson et al. 1957) From the figure above: Plate thickness / hole dia. = 1 Ah/Ap = Ah/Aa = 0.1 Co = 0.8 VaporVelocityMAX VolemetricFlowRate Ah PlateThickness Holediamet er Re ad Find Co Fig .11.34 Ah Ah AP Aa 2 u hd 51 h v Co L 12.5 103 hr L ht hd hr hw howMAX 235 hd = 196.9763 mm Residual head (hr) = 12.0389098 mm Total plate drop (ht) = 398.9962 mm Downcomer Liquid Back-Up: hap hw 10 Aap hap lw L hdc 166 wd ; Am MIN Ad ; Aap L Am hb ht hdc hw howMAX Find : PlateSpacing hw 2 hap = 40 mm Aap = 0.09263847 m2 Since Aap is less than Ad use equation 11.92: hdc = 0.674546 mm hb = 589.6517 mm Check Residence Time: Ah t r d bc L Lwd tr = 6.969157 s Check Entrainment: uv VolumetricflowRate An Flooding % uv u fMAX Find f F LV Fig .11.29 uv = 1.506749 m/s Percent flooding = 85.0160381 % 236 From Figure 11.29 : Number of Holes: AreaOfOneHole 0.25Dh 2 Ah AreaOfOneHole # holes Area of one hole = 1.9635 * 10^-5 m2 Total number of holes = 28224.56 hole on one plate = 504.01 Thickness: rj t D 2 Pr j SE j 0.6 P Cc rj 59.98661 inch P 105 psi Ej 0.85 Cc 0.125 inch S 13700 psi t 0.668826 inch t 16.98818 mm 237 Area of Condenser: ∆T= 0.2 Co U= 1000 W/m2.Co Q= 5957000 W Area = 29785 m2 320603.1 ft2 ∆T= 0.5 Co U= 900 W/m2.Co Q= 4354000 W Area = 9675.556 m2 104146.8 ft2 Area of Reboiler: 238 Equipment Name Distillation column Objective To separate anilne from other residue Equipment Number C-203 Designer Abdulhameed al-awadhi Type Tray column Location aniline recovery section Material of Construction Carbon steel Insulation foam wool Total Cost ($) 1.85E+05 Key Components Light aniline Heavy Residues Height (m) 10.687 Dimensions Diameter (m) Bottom 1.067 (m) Top 1.0043 (m) Number of Trays 50 Reflux Ratio 0.98 Tray Spacing 0.74 Type of tray Sieve tray Number of Holes 28224.56 Cost( $) Vessel($) 5.53E+04 Trays($) 3900 Condenser Unit ($) 55400 Reboiler ($) 66400 Heat Exchanger 239 Introduction:In general a heat exchanger is a device made for efficient heat transfer from one fluid to another across a solid surface. It has been used a lot in engineering plants whereas exchanger analysis and design include both convection and conduction. If the exchanger is un-insulated and its external surfaces are very hot the radiative transfer between the exchanger and the environment cannot be eliminated. Application:1. petrochemical processing 2. petroleum refining 3. Waste water treatment. 4. Refrigeration systems. 5. Wine-brewery industry. 6. Petroleum industry. Flow arrangement:- Fig1: Countercurrent (A) and parallel (B) flows. Heat exchangers may be classified according to their flow arrangement. In parallel flow heat exchangers, the two fluids enter the exchanger at the same end, and travel in parallel to one another to the other side. In counter flow heat exchangers the fluids enter the exchanger from opposite ends. The 240 counter current design is most efficient, in that it can transfer the most heat. In a cross flow heat exchanger, the fluids travel roughly perpendicular to one another through the exchanger. For efficiency, heat exchangers are designed to maximize the surface area of the wall between the two fluids, while minimizing resistance to fluid flow through the exchanger. The exchanger's performance can also be affected by the addition of fins or corrugations in one or both directions, which increase surface area and may channel fluid flow or induce turbulence. The driving temperature across the heat transfer surface varies with position, but an appropriate mean temperature can be defined. In most simple systems this is the log mean temperature difference (LMTD). Sometimes direct knowledge of the LMTD is not available and the NTU method is used. 1- Parallel-flow Heat Exchanger: Fig2: Temperature distribution along tube axis(Parallel flow). Figure above shows a fluid flowing through a pipe and exchanges heat with another fluid through an annulus surrounding the pipe. In a parallel flow heat exchanger fluids flow in the same direction. If the specific heat capacity of fluids are constant, it can be shown that: 241 where, dQ/dt= Rate of heat transfer between two fluids. U= Overall heat transfer coefficient. A= Area of the tube. T= Logarithmic mean temperature difference defined by: 2- Counter-flow Heat Exchanger: Fig3: Temperature distribution along tube axis(Counter –flow). Figure above shows a fluid flowing through a pipe and exchanges heat with another fluid through an annulus surrounding the pipe. In a counter-flow heat exchanger fluids flow in the opposite direction. If the specific heat capacity of fluids are constant, it can be shown that: 242 where, dQ/dt= Rate of heat transfer between two fluids U= Overall heat transfer coefficient A= Area of the tube T= Logarithmic mean temperature difference defined by: 3- Cross-flow Heat Exchanger: Fig4: cross-flow heat exchanger. In a cross-flow heat exchanger the direction of fluids are perpendicular to each other. The required surface area, Across for this heat exchanger is usually calculated by using tables. It is between the required surface area for counter flow, Acounter and parallel-flow, Aparallel i.e. Acounter< Across <Aparallel 243 Fig5: Temperature profile of concurrent and counter current flow. Types of heat exchangers: -Shell and Tube heat exchanger. -Plate heat exchanger. -Regenerative heat exchanger. -Adiabatic Wheel heat exchanger. -Fluid heat exchangers. -Dynamic Scraped surface heat exchanger. -Spiral Heat Exchangers. 244 Fig5: Types of Heat Exchanger. shell and tube heat exchanger: A shell and tube heat exchanger is a class of heat exchanger designs. It is the most common type of heat exchanger in oil refineries and other large chemical processes, and is suited for higher-pressure applications. As its name implies, this type of heat exchanger consists of a shell (a large pressure vessel) with a bundle of tubes inside it. One fluid runs through the tubes, and another fluid flows over the tubes (through the shell) to transfer heat between the two fluids. The set of tubes is called a tube bundle, and may be composed by several types of tubes: plain, longitudinally finned, etc. 245 Fig6: shell & tube heat exchanger The function of heat exchanger depends on the fact that the heat is transferred whenever a temperature difference occurs. In a heat exchanger, there is a cold stream and a hot stream. The two streams are separated by a solid wall. The wall must be thin and conductive in order for heat exchange to occur. Yet the wall must be strong enough to withstand any pressure by the fluid. Shell and tube heat exchanger design There can be many variations on the shell and tube design. Typically, the ends of each tube are connected to plenums (sometimes called water boxes) through holes in tube sheets. The tubes may be straight or bent in the shape of a U, called U-tubes. 246 Fig7: U-tube heat exchanger. In nuclear power plants called pressurized water reactors, large heat exchangers called steam generators are two-phase, shell-and-tube heat exchangers which typically have U-tubes. They are used to boil water recycled from a surface condenser into steam to drive the turbine to produce power. Most shell-and-tube heat exchangers are either 1, 2, or 4 pass designs on the tube side. This refers to the number of times the fluid in the tubes passes through the fluid in the shell. In a single pass heat exchanger, the fluid goes in one end of each tube and out the other. 247 Fig8: 1-pass straight-tube heat exchanger. Surface condensers in power plants are often 1-pass straight-tube heat exchangers. Two and four pass designs are common because the fluid can enter and exit on the same side. This makes construction much simpler. Fig8: 2-pass straight-tube heat exchanger 248 There are often baffles directing flow through the shell side so the fluid does not take a short cut through the shell side leaving ineffective low flow volumes. Counter current heat exchangers are most efficient because they allow the highest log mean temperature difference between the hot and cold streams. Many companies however do not use single pass heat exchangers because they can break easily in addition to being more expensive to build. Often multiple heat exchangers can be used to simulate the counter current flow of a single large exchanger. Selection of tube material To be able to transfer heat well, the tube material should have good thermal conductivity. Because heat is transferred from a hot to a cold side through the tubes, there is a temperature difference through the width of the tubes. Because of the tendency of the tube material to thermally expand differently at various temperatures, thermal stresses occur during operation. This is in addition to any stress from high pressures from the fluids themselves. The tube material also should be compatible with both the shell and tube side fluids for long periods under the operating conditions (temperatures, pressures, pH, etc.) to minimize deterioration such as corrosion. All of these requirements call for careful selection of strong, thermally-conductive, corrosion-resistant, high quality tube materials, typically metals. Poor choice of tube material could result in a leak through a tube between the shell and tube sides causing fluid cross-contamination and possibly loss of pressure. Any component or the entire unit can be made of materials such as carbon steel, stainless steel, nickel, nickel alloys or other special alloys. 249 Advantages: connections that come in standardized sizes for easy assembly and feature additional thread and surface protection for clean installation. U-bend tubes expanded into a tubesheet which allow for tube expansions and contractions due to thermal fluctuations. gaskets that are made of high quality compressed fibres which lends to reusability. A standard cast-iron or steel head for heavy duty services (also available as a spare part). saddle attaches which make for quick and easy mounting. punched baffles with minimal clearances between tubes guaranteeing correct fluid flow and minimized bypass. A welded shell protected with high quality paint for corrosion resistance. Plate heat exchanger: A plate heat exchanger is an type of heat exchanger that uses metal plates to transfer heat between two fluids. This has a major advantage over a conventional heat exchanger in that the fluids are exposed to a much larger surface area because the fluids spread out over the plates. This facilitates the transfer of heat, and greatly increases the speed of the temperature change. It is not as common to see plate heat exchangers due to the fact that they need well-sealed gaskets to prevent the fluids from escaping, although modern manufacturing processes have made them feasible. The concept behind a heat exchanger is the use of pipes or other containment vessels to heat or cool one fluid by transferring heat between it and another fluid. In most cases, the exchanger consists of a coiled pipe containing one 250 fluid that passes through a chamber containing another fluid. The walls of the pipe are usually made of metal, or another substance with a high thermal conductivity, to facilitate the interchange, whereas the outer casing of the larger chamber is made of a plastic or coated with thermal insulation, to discourage heat from escaping from the exchanger. Design of plate and frame heat exchangers Fig9: Schematic conceptual diagram of a plate and frame heat exchanger. The plate heat exchanger is a specialized design well suited to transferring heat between medium- and low-pressure liquids. Welded, semi-welded and brazed heat exchangers are used for heat exchange between high-pressure fluids or where a more compact product is required. In place of a pipe passing through a chamber, there are instead two alternating chambers, usually thin in depth, separated at their largest surface by a corrugated metal plate. The plates used in a plate and frame heat exchanger are obtained by one piece pressing of metal plates. Stainless steel is commonly used metal for the plates because it is able to withstand high temperatures, resistance to rusting while also being a strong material. The plates are often spaced by rubber sealing gaskets which are cemented into a section around the edge of the plates. The plates are pressed to form troughs at right angles to the direction 251 of flow of the liquid which runs through the channels in the heat exchanger. These troughs are arranged so that they interlink with the other plates which forms the channel with gaps of 1.3-1.5 mm between the plates. The plates produce an extremely large surface area, which allows for the fastest possible transfer. Making each chamber thin ensures that the majority of the volume of the liquid contacts the plate, again aiding exchange. The troughs also create and maintain a turbulent flow in the liquid to maximize heat transfer inthe exchanger. A high degree of turbulence can be obtained at low flow rates and high heat transfer coefficient can then be achieved. A plate heat exchanger consists of a series of thin, corrugated plates which are mentioned above. These plates are gasketed, welded or brazed together depending on the application of the heat exchanger. The plates are compressed together in a rigid frame to form an arrangement of parallel flow channels with alternating hot and cold fluids. As compared to shell and tube heat exchangers, the temperature approach in a plate heat exchangers may be as low as 1 °C whereas shell and tube heat exchangers require an approach of gives 5°C or more. 252 Advantages : Plates are attractive when material costs are high. Plate Heat Exchanger are easier to maintain. Plate Heat Exchanger are more flexible , it is easy to add extra plates . Plate Heat Exchanger are more suitable for highly viscous materials. the temperature correction factor ,Ft, will normally be higher with plate heat exchangers , as the flow is closer to true counter – current flow. Fouling tends to be significantly less in plate heat exchangers . Expansion and reduction of the heat transfer area is possible in a plate heat exchanger. It is easily dismantled for inspection and cleaning. the plates are also easily replaceable due the fact that plates can be removed and replaced individually. Disadvantage: The main weakness of the plate and frame heat exchanger is the necessity for the long gaskets which holds the plates together, Although these gaskets are seen as a weakness towards this type of heat exchanger, it has been successfully run at high temperatures and pressures. A plate is not a good shape to resist pressure and plate heat exchangers are not suitable for pressure greater than about 30 bar. The maximum operating temperature is limited to about 250°C , due to the performance of the available gasket materials . 253 Selection: High/ Low pressure limits. Thermal Performance. Temperature ranges. Product Mix (liquid/liquid, particulates or high-solids liquid). Pressure Drops across the exchanger. Fluid flow capacity. Cleanability, maintenance and repair. Materials required for construction. Ability and ease of future expansion. 254 Nomenclature :Symbol Definition Q Heat load (kw) Cp Heat capacity of water(kj/kg oC) t1 Inlet hot stream temperature (˚C) t2 Outlet stream temperature (˚C) T1 Inlet cold stream temperature (˚C) T2 Outlet cold temperature (˚C) ΔTlm Log mean Temperature (˚C) Ft Temperature correction factor ΔTm True temperature difference (˚C) R is the shell side flow × specific heat / tube side flow×specificheat S is temperature efficiency of the heat exchanger A Provisional Area (m2) do Outer diameter (mm) Lt Length of tube(mm) Nt Number of tubes Db bundle diameter (mm) Ds Shell diameter (mm) di Tube inside diameter (mm) Ų Linear velocity (m/s) Ρ Density (kg/ m3) Re Reynolds number 255 Pr Prendelt number jh Heat transfer function µ Viscosity Lb Baffle spacing (mm) Pt Tube pitch (mm) As Cross flow area (m2) Gs Mass velocity (kg/s.m2) De Equivalent diameter for triangular arrangement (mm) hs shell side coefficient (w/m2. °C) Uo Overall heat transfer coefficient (w/m2. °C) ΔP Tube side pressure drop (N/m^2). (pa) Np number of tube side passes Υ tube side velocity (m/s) L length of one tube, (m) T shell thickness (in) P internal pressure (psi) ri internal radius of shell (in) Ej efficiency of joint expressed as fraction Cc allowance for corrosion (in) S maximum allowable working stress (psi) 256 Assumptions :1-Assume a counter current flow heat exchanger because it provides more effective heat transfer. 2-The value of the overall heat transfer coefficient was assumed in the shell and tube heat exchanger design. 3-Assume the outer, the inner diameter and the length of the tube on both the Shell and tube heat exchanger design. Procedure for calculation of Air Coolers 1- calculate the heat duty : Q= m Cp ΔT Where, Q: heat duty m: mass flow rate Cp: heat capacity ΔT : Temperature difference . 2-Overall Heat Transfer Coefficient Assume from Book (chemical engineering design) coulson& Richardson 4th Edition Table 12.1 3-Outlet Air Temperature T T2 t 2 t1 0.0009U 1 t1 2 Th T1 t 2 Tc T2 t1 lMTD Th Tc ln Th / Tc 257 5-Calculate correction on mean temperature difference S t 2 t1 T1 t1 R T1 T2 t 2 t1 From figure 12.19 take Ft 6- Calculate Area Δ Tm=lMTD*Ft Q=UAΔTm A=Q/(UΔTm) 7- # tube Nt=A/A assume 8- Calculate horse power requirement hydraulic Hp=ACFM*density of air *diff head/(33000) diff head=total dela @fan ins H2O*5.193/Density Bhp=hydraulic hp/η 9- Cost (from matche.com) 258 Cooler Design: V-103 Fluid properties: Shell Side ( Cooling water stream ) Flow rate 3.97E+01 Kg/h Inlet Temperature ,T1 135 o C Outlet Temperature ,T2 266 o C Average Heat Cpavg 75.8675 KJ/kgoC Average Mass Density, ρavg 1039.8 kg/m3 Average Viscosity of stream, µavg 0.542 mNs/m2 Average Thermal conductivity, Kf 0.498 W/moC Calculation of Heat load: Qh = mh *Cp * ( T2-T1) where: Qh = heat load in the hot side (KW) mh = mass flowrate of hot fluid (Kg/h) Cp = heat capacity of hot fluid (kJ/kgoC) T1 = inlet temperature (oC) T2 =outlet temperatue (oC) Heat load = -1090.4 KW> 1000 KW The type of the heat exchanger is shell and tube heat exchanger Tube side ( gas stream) Flowrate 71.01 Kg/h Average Heat Capacity, Cp 76.49 kJ/kgoC Average Mass Density, ρ 502.97 kg/m3 Average Viscosity of stream, µ 0.159 mNs/m2 259 Average Thermal conductivity of stream, Kf 0.317 W/moC inlet Temperature , T1 310 o C outlet Temperature, t2 295 o C Log mean Temperature calculation: ∆Tlm =(T1-t2)-(T2-t1) / ln((T1-t2)/(T2-t1)) where: ∆Tlm = log mean temperature differace T1 = inlet shell side fluid temoerature (oC) T2 = outlet shell side fluid temerature (oC) t1 = inlet tube side temoerature (oC) t2 = outlet tube side temerature (oC) ∆Tlm = -89.854 oC Temperature correction Fctor calculation: Using two shell pass and four or multiple of Two tube passes Np= 2 R = (T1-T2) / (t2-t1) R = 8.7333333 S = (t2-t1) / (T1-t1 S = 0.0857143 Ft = 0.99 From figure 12.20 ∆Tm = Ft * ∆Tlm where: ∆Tm = true temperature difference Ft = the temperature correction factor 260 ∆Tlm = log mean temperature differace ∆Tm = -88.95539 oC Assuming U = 100 W/m2 oC ( From table 12.1) A= Q / U * ∆Tm where: A = provisional area (m2) Q = heat load (kW) U = overall heat transfer coefficient (W/m2 oC) Provisional area = 97.37333 m2 Choosing Tube outside diameter(do) = 32 mm 1.25984 Tube inner diameter(di) = 28 mm 1.10236 Tube length(L) = 3.4 m 133.858 Take tube materail is cupro- nickel Area of one tube = L* do *π Area of one tube = 0.3418053 m2 Number of tubes = provisinal area / area of one tube Number of tubes = 285 Using 1.25 triangular pitch K1 = 0.249 Use table 12.4 n1 = 2.207 Db = (do)*( Nt / K1)^ (1/n1) where; Db =bundle diameter (mm) 261 do = outer diameter (mm) Nt : number of tubes K1& n1 are constant Bundle diameter (Db) = 778 mm 0.777948 m Using split ring floating head type Bundle diametrical clearance = 64 mm from fig 12.10 Ds = Db + Bundle diametrical clearance Shell diameter(Ds) = 842 mm 0.841948 m Tube side coefficient Method 1 Mean Tube temperature=(t1+t2)/2 = 302.5 oC Tube cross-sectional area = p/4 *di2= 615.75216 mm2 Tube per pass=(Nt/NP) = 142 Total flow area = tubes per pass * cross sectional area Total flow area = 0.0877076 m2 mass velocity = mass flow rate / total flow area Tube mass velocity = 2.25E-01 kg/s.m2 linear velosity (ut ) = mass velosity / density Tube linear velocity (ut) = 4.47E-04 m/s hi = (4200* (1.35+0.02t)* ut0.8)/(di0.2) where: hi =inside coefficient (W/m2 oC) 262 t =mean temperature (oC) ut =linear velocity (m/s) di =tube inside diameter (mm) hi = 33.373333 W/m2 oC Method 2 Renolds number (Re) = ρ* ut*di/ µ Re = 3.96E+01 Prandtl number (Pr) = Cp µ / kf Pr = 3.84E+01 L/di = 1.21E+02 From Figuer 12.23 Tube -side heat transfer factor: jh = 2.00E-03 where jh is the heat transfer factor assume that the viscisity of the fluid is the same as at the wall (µ/µwall) = 1 (hi di / kf) = jh Re Pr0.33 * (µ/µwall)0.14 hi = 2.99E+00 W/m2 oC Using hi from method 1 as it has low value hi = 3 W/m2 oC Shell-side coefficient Choose baffle spacing (Lb)= (Ds/5) = 168.3896 mm Tube pitch (pt) =1.25 * do= 40 mm Cross flow area (As) =((pt - do)* Ds* Lb)/pt Cross flow area As = 0.0283551 m2 263 Mass velocity (Gs) = mass flow rate / cross flow area Mass velocity (Gs) = 0.3884277 kg/s.m2 Equivalent diameter de =(1.1/do)(pt2-0.917do2) de = 2.27E+01 mm Mean Shell side temperature =(T1+T2)/2 Mean Shell side temperature = 200.5 oC Renolds number (Re) = (Gs de)/ m Re = 2.E+01 Prandtl number (Pr) = Cp µ / kf Pr = 82.66 Choose 15% baffle cut jh = 8.50E-03 from fig 12.29 Without the viscosity correction term, (µ/µw) = 1 hs = kf* jh *Re *Pr^(1/3) / d hs = 13.19995 W/m2 oC Overall Heat Transfer Coefficient Thermal conductivity of cupro-nickel alloy= 45 W/moC Taking fouling coefficients from table 12.2 Outside coefficient(fouling factor)=hod 4500 W/m2 oC Inside coefficient(fouling factor) =hid 5000 W/m2 oC 1/Uo =(1/ho) + (1/hod) + ( do(ln(do/di))/2kw) + (do/di) * (1/hid) + (do/di) * (1/hi) 1/Uo = 4.59E-01 Uo= 2.18E+00 W/m2 oC Close to initial value assumed 264 Pressure Drop Tube side Re = 3.96E+01 jf = 7.00E-03 from fig 12.24 where jf is the friction factor ΔPt= Np [ 8jf (L/di)(µ/µw)^(-m) +2.5 ] ρut²/2 where , ΔPt = tube side pressur drop (N/m²)(pa) Np= number of tube side passes ut= tube side velosity (m/s) L = length of one tube Neglecting the viscosity correction term, (µ/µw) = 1 ∆pt= 0.0009352 N/m2 9.352E-07 kPa 1.356E-07 psi Shell side (Acceptable) Linear velocity =Gs /ρ= 0.0003736 m/s Re = 2.E+01 jf = 5.00E-02 from fig 12.30 ΔPs = 8jf (Ds/de)(L/Lb)( ρus^2/2)(µ/µw)^(-0.14) where : L : tube length Lb : baffle spacing ∆Ps = 0.0217125 N/m2 2.171E-05 kPa 265 3.149E-06 psi Thickness Calculations: t =(Pri/(SEJ-0.6P))+Cc where: t = shell thichness (in) P = Maximum allowable internal pressure (psig) ri= internal raduis of shell before allowance corrosion is added (in) EJ = efficincy of joients S = working stress (psi) Cc = allowance for corrosin (in) ri = 16.57378856 in P = 25 psi S = 13700 psi (for carbon steel) EJ =0.85 Cc = 0.125 in t = 0.161 in t = 4.1 mm Cost Calculations: Heat transfer area = 1048.12 ft2 Cost = $784,600 (www.matche.com) 266 Heat Exchanger Design: E-201 Fluid properties: Shell Side ( Cooling water stream ) Flow rate 6.82E+03 Kg/h Inlet Temperature ,T1 100.6 o C Outlet Temperature ,T2 50.22 o C Average Heat Capacity, Cpavg 75.8675 KJ/kgoC Average Mass Density, ρavg 968.02 kg/m3 Average Viscosity of stream, µavg 0.410 mNs/m2 Average Thermal conductivity, Kf 0.662 W/moC Calculation of Heat load: Qh = mh *Cp * ( T2-T1) where Qh = heat load in the hot side (KW) mh = mass flowrate of hot fluid (Kg/h) Cp = heat capacity of hot fluid (kJ/kgoC) T1 = inlet temperature (oC) T2 =outlet temperatue (oC) Heat load = -7237.8 KW > 1000 The type of the heat exchanger is shell and tube heat exchanger 267 Tube side ( gas stream) Flowrate 7101 Kg/h Average Heat Capacity, Cp 76.49 kJ/kgoC Average Mass Density, ρ 969.79 kg/m3 Average Viscosity of stream, µ 0.522 mNs/m2 Average Thermal conductivity of stream, Kf 0.649 W/moC inlet Temperature , T1 40 o C outlet Temperature, t2 90 o C Log mean Temperature calculation: ∆Tlm =(T1-t2)-(T2-t1) / ln((T1-t2)/(T2-t1)) where: ∆Tlm = log mean temperature differace T1 = inlet shell side fluid temoerature (oC) T2 = outlet shell side fluid temerature (oC) t1 = inlet tube side temoerature (oC) t2 = outlet tube side temerature (oC) ∆Tlm = -10.409 oC Temperature correction Fctor calculation: Using two shell pass and four or multiple of Two tube passes Np= R = (T1-T2) / (t2-t1) R = 1.0076 S = (t2-t1) / (T1-t1) S = 0.8250825 268 Ft = 0.99 From figure 12.20 ∆Tm = Ft * ∆Tlm where: ∆Tm = true temperature difference Ft = the temperature correction factor ∆Tlm = log mean temperature differace ∆Tm = -10.30476 oC Assuming U = 1200 W/m2 oC ( From table 12.1) A= Q / U * ∆Tm where: A = provisional area (m2) Q = heat load (kW) U = overall heat transfer coefficient (W/m2 oC) Provisional area = 62.152868 m2 Choosing Tube outside diameter(do) = 32 mm Tube inner diameter(di) = 28 mm Tube length(L) = 3.4 m Take tube materail is cupro- nickel Area of one tube = L* do *π Area of one tube = 0.3418053 m2 Number of tubes = provisinal area / area of one tube Number of tubes =182 269 Using 1.25 triangular pitch K1 = 0.249 Use table 12.4 n1 = 2.207 Db = (do)*( Nt / K1)^ (1/n1) where; Db =bundle diameter (mm) do = outer diameter (mm) Nt : number of tubes K1& n1 are constant Bundle diameter (Db) = 635 mm 0.6347532 m Using split ring floating head type Bundle diametrical clearance = 64 mm Ds = Db + Bundle diametrical clearance Shell diameter(Ds) = 699 mm 0.6987532 m Shell length(m)= 4.0987532 m Tube side coefficient Method 1 Mean Tube temperature=(t1+t2)/2 = 65 oC Tube cross-sectional area = p/4 *di2= 615.75216 mm2 Tube per pass=(Nt/NP) = 91 Total flow area = tubes per pass * cross sectional area 270 Total flow area = 0.0559833 m2 mass velocity = mass flow rate / total flow area Tube mass velocity = 3.52E+01 kg/s.m2 linear velosity (ut ) = mass velosity / density Tube linear velocity (ut) = 3.63E-02 m/s hi = (4200* (1.35+0.02t)* ut0.8)/(di0.2) where: hi =inside coefficient (W/m2 oC) t =mean temperature (oC) ut =linear velocity (m/s) di =tube inside diameter (mm) hi = 402.98448 W/m2 oC Method 2 Renolds number (Re) = ρ* ut*di/ µ Re = 1.89E+03 Prandtl number (Pr) = Cp µ / kf Pr = 6.15E+01 L/di = 1.21E+02 From Figuer 12.23 Tube -side heat transfer factor: jh = 2.00E-03 where jh is the heat transfer factor assume that the viscisity of the fluid is the same as at the wall µ/µwall) = 1 271 (hi di / kf) = jh Re Pr0.33 * (µ/µwall)0.14 hi = 3.41E+02 W/m2 oC Using hi from method 1 as it has low value hi = 341 W/m2 oC Shell-side coefficient Choose baffle spacing (Lb)= (Ds/5) = 139.75065 mm Tube pitch (pt) =1.25 * do= 40 mm Cross flow area (As) =((pt - do)* Ds* Lb)/pt Cross flow area As = 0.0195302 m2 Mass velocity (Gs) = mass flow rate / cross flow area Mass velocity (Gs) = 96.957887 kg/s.m2 Equivalent diameter de =(1.1/do)(pt2-0.917do2) de = 2.27E+01 mm Mean Shell side temperature =(T1+T2)/2 Mean Shell side temperature = 75.41 oC Renolds number (Re) = (Gs de)/ m Re = 5.E+03 Prandtl number (Pr) = Cp µ / kf Pr = 46.94 Choose 15% baffle cut jh = 8.50E-03 Without the viscosity correction term, (µ/µw) = 1 hs = kf* jh *Re *Pr^(1/3) / de 272 hs = 4805.0743 W/m2 oC Overall Heat Transfer Coefficient Thermal conductivity of cupro-nickel alloy= 45 W/moC Taking fouling coefficients from table 12.2 Outside coefficient(fouling factor)=hod 4500 W/m2 oC Inside coefficient(fouling factor) =hid 5000 W/m2 oC 1/Uo =(1/ho) + (1/hod) + ( do(ln(do/di))/2kw) + (do/di) * (1/hid) + (do/di) * (1/hi) 1/Uo = 3.96E-03 Uo= 2.53E+02 W/m2 oC Close to initial value assumed Pressure Drop Tube side Re = 1.89E+03 jf = 7.00E-03 where jf is the friction factor ΔPt= Np [ 8jf (L/di)(µ/µw)^(-m) +2.5 ] ρut²/2 where ΔPt = tube side pressur drop (N/m²)(pa) Np= number of tube side passes ut= tube side velosity (m/s) L = length of one tube Neglecting the viscosity correction term, (µ/µw) = 1 273 ∆pt= 11.904812 N/m2 0.0119048 kPa 0.0017268 psi Shell side (Acceptable) Linear velocity =Gs /ρ= 0.100161 m/s Re = 5.E+03 jf = 5.00E-02 from fig 12.30 ΔPs = 8jf (Ds/de)(L/Lb)( ρus^2/2)(µ/µw)^(-0.14) where L : tube length Lb : baffle spacing ∆Ps = 1453.1885 N/m2 1.4531885 kPa 0.2107812 psi Thickness Calculations: (Acceptable) t =(Pri/(SEJ-0.6P))+Cc where: t = shell thichness (in) P = Maximum allowable internal pressure (psig) ri= internal raduis of shell before allowance corrosion is added (in) EJ = efficincy of joients S = working stress (psi) 274 Cc = allowance for corrosin (in) ri = 13.75499235 in P = 25 psi S = 13700 psi (for carbon steel) EJ = 0.85 Cc = 0.125 in t = 0.155 in t = 3.9 mm Cost Calculations: Heat transfer area = 669.01 ft2 Cost = $604,300 www.matche. com 275 Cooler Design: E-104 Fluid properties: Shell Side ( Cooling water stream ) Flow rate 2.42E+04 Kg/h Inlet Temperature ,T1 25 o C Outlet Temperature ,T2 115.6 o C Average Heat Capacity, Cpavg 58.105 KJ/kgoC Average Mass Density, ρavg 504.13 kg/m3 Average Viscosity of stream, µavg 0.452 mNs/m2 Average Thermal conductivity, Kf 0.318 W/moC Calculation of Heat load: Qh = mh *Cp * ( T2-T1) where: Qh = heat load in the hot side (KW) mh = mass flowrate of hot fluid (Kg/h) Cp = heat capacity of hot fluid (kJ/kgoC) T1 = inlet temperature (oC) T2 =outlet temperatue (oC) Heat load = 35402.5 KW > 1000 KW The type of the heat exchanger is shell and tube heat exchanger 276 Tube side ( gas stream) Flowrate 19617 Kg/h Average Heat Capacity, Cp 30.8455 kJ/kgoC Average Mass Density, ρ 0.28745 kg/m3 Average Viscosity of stream, µ 0.011 mNs/m2 Average Thermal conductivity of stream, Kf 0.199 W/moC inlet Temperature , T1 162.9 o C outlet Temperature, t2 40 o C Log mean Temperature calculation: ∆Tlm =(T1-t2)-(T2-t1) / ln((T1-t2)/(T2-t1)) where: ∆Tlm = log mean temperature differace T1 = inlet shell side fluid temoerature (oC) T2 = outlet shell side fluid temerature (oC) t1 = inlet tube side temoerature (oC) t2 = outlet tube side temerature (oC) ∆Tlm = 28.1246 oC Temperature correction Fctor calculation: Using two shell pass and four or multiple of Two tube passes Np= R = (T1-T2) / (t2-t1) R = 0.7371847 S = (t2-t1) / (T1-t1) S = 0.8912255 277 Ft = 0.98 From figure 12.20 ∆Tm = Ft * ∆Tlm where: ∆Tm = true temperature difference Ft = the temperature correction factor ∆Tlm = log mean temperature differace ∆Tm = 27.562124 oC Assuming U = 2400 W/m2 oC ( From table 12.1) A= Q / U * ∆Tm where: A = provisional area (m2) Q = heat load (kW) U = overall heat transfer coefficient (W/m2 oC) Provisional area = 406.5701 m2 Choosing Tube outside diameter(do) = 19 mm Tube inner diameter(di) = 15 mm Tube length(L) = 6 m Take tube materail is cupro- nickel Area of one tube = L* do *π Area of one tube = 0.3581416 m2 Number of tubes = provisinal area / area of one tube Number of tubes = 1135 278 Using 1.25 triangular pitch K1 = 0.249 Use table 12.4 n1 = 2.207 Db = (do)*( Nt / K1)^ (1/n1) where; Db =bundle diameter (mm) do = outer diameter (mm) Nt : number of tubes K1& n1 are constant Bundle diameter (Db) = 864 mm 0.8641846 m Using split ring floating head type Bundle diametrical clearance = 78 mm Ds = Db + Bundle diametrical clearance Shell diameter(Ds) = 942 mm 0.9421846 m Shell length(m)= 6.9421846 m Tube side coefficient Method 1 Mean Tube temperature=(t1+t2)/2 = 101.45 oC Tube cross-sectional area = p/4 *di2= 176.71459 mm2 Tube per pass=(Nt/NP) = 568 Total flow area = tubes per pass * cross sectional area Total flow area = 0.1003051 m2 279 mass velocity = mass flow rate / total flow area Tube mass velocity = 5.43E+01 kg/s.m2 linear velosity (ut ) = mass velosity / density Tube linear velocity (ut) = 1.89E+02 m/s hi = (4200* (1.35+0.02t)* ut0.8)/(di0.2) where: hi =inside coefficient (W/m2 oC) t =mean temperature (oC) ut =linear velocity (m/s) di =tube inside diameter (mm) hi = 546984.42 W/m2 oC Method 2 Renolds number (Re) = ρ* ut*di/ µ Re = 7.12E+04 Prandtl number (Pr) = Cp µ / kf Pr = 1.78E+00 L/di = 4.00E+02 From Figuer 12.23 Tube -side heat transfer factor jh = 3.50E-03 where jh is the heat transfer factor assume that the viscisity of the fluid is the same as at the wall (µ/µwall) = 1 (hi di / kf) = jh Re Pr0.33 * (µ/µwall)0.14 280 hi = 3.99E+03 W/m2 oC Using hi from method 1 as it has low value hi = 3993 W/m2 oC Shell-side coefficient Choose baffle spacing (Lb)= (Ds/5) = 188.43691 mm Tube pitch (pt) =1.25 * do= 23.75 mm Cross flow area (As) =((pt - do)* Ds* Lb)/pt Cross flow area As = 0.0355085 m2 Mass velocity (Gs) = mass flow rate / cross flow area Mass velocity (Gs) = 189.39143 kg/s.m2 Equivalent diameter de =(1.1/do)(pt2-0.917do2) de = 1.35E+01 mm Mean Shell side temperature =(T1+T2)/2 Mean Shell side temperature = 70.3 oC Renolds number (Re) = (Gs de)/ m Re = 6.E+03 Prandtl number (Pr) = Cp µ / kf Pr = 82.41 Choose 15% baffle cut jh = 1.00E-02 Without the viscosity correction term, (µ/µw) = 1 hs = kf* jh *Re *Pr^(1/3) / de hs = 5810.9256 W/m2 oC 281 Overall Heat Transfer Coefficient Thermal conductivity of cupro-nickel alloy= 50 W/moC Taking fouling coefficients from table 12.2 Outside coefficient(fouling factor)=hod 5000 W/m2 oC Inside coefficient(fouling factor) =hid 5000 W/m2 oC 1/Uo =(1/ho) + (1/hod) + ( do(ln(do/di))/2kw) + (do/di) * (1/hid) + (do/di) * (1/hi) 1/Uo = 8.98E-04 Uo= 1.11E+03 W/m2 oC Close to initial value assumed Pressure Drop Tube side Re = 7.12E+04 jf = 3.50E-03 where jf is the friction factor ΔPt= Np [ 8jf (L/di)(µ/µw)^(-m) +2.5 ] ρut²/2 Where ΔPt = tube side pressur drop (N/m²)(pa) Np= number of tube side passes ut= tube side velosity (m/s) L = length of one tube Neglecting the viscosity correction term, (µ/µw) = 1 ∆pt= 140660.51 N/m2 140.66051 kPa 20.402436 psi 282 Shell side (Acceptable) Linear velocity =Gs /ρ= 0.3756797 m/s Re = 6.E+03 jf = 6.00E-02 from fig 12.30 ΔPs = 8jf (Ds/de)(L/Lb)( ρus^2/2)(µ/µw)^(-0.14) where : L : tube length Lb : baffle spacing ∆Ps = 37972.401 N/m2 37.972401 kPa 5.5077965 psi Thickness Calculations: (Acceptable) t =(Pri/(SEJ-0.6P))+Cc where: t = shell thichness (in) P = Maximum allowable internal pressure (psig) ri= internal raduis of shell before allowance corrosion is added (in) EJ = efficincy of joients S = working stress (psi) Cc = allowance for corrosin (in) ri = 18.54695041 in P = 25 psi 283 S = 13706.66 psi (for carbon steel) EJ = 0.85 Cc = 0.125 in t = 0.165 in t = 4.2 mm Cost Calculations: Heat transfer area = 4376.28 ft2 Cost = $784,60 www.matche.com 284 Heater Design: E-202 Fluid properties: Shell Side ( Cooling water stream ) Flow rate 3.27E+04 Kg/h Inlet Temperature ,T1 105 o C Outlet Temperature ,T2 100 o C Average Heat Capacity, Cpavg 76.1155 KJ/kgoC Average Mass Density, ρavg 1002.85 kg/m3 Average Viscosity of stream, µavg 0.782 mNs/m2 Average Thermal conductivity, Kf 0.620 W/moC Calculation of Heat load: Qh = mh *Cp * ( T2-T1) where: Qh = heat load in the hot side (KW) mh = mass flowrate of hot fluid (Kg/h) Cp = heat capacity of hot fluid (kJ/kgoC) T1 = inlet temperature (oC) T2 =outlet temperatue (oC) Heat load = -3455.4 KW > 1000 The type of the heat exchanger is shell and tube heat exchanger 285 Tube side ( gas stream) Flowrate 7101 Kg/h Average Heat Capacity, Cp 76.2595 kJ/kgoC Average Mass Density, ρ 637.25 kg/m3 Average Viscosity of stream, µ 0.712 mNs/m2 Average Thermal conductivity of stream, Kf 0.596 W/moC inlet Temperature , T1 89.992 o C outlet Temperature, t2 99 o C Log mean Temperature calculation: ∆Tlm =(T1-t2)-(T2-t1) / ln((T1-t2)/(T2-t1)) where: ∆Tlm = log mean temperature differace T1 = inlet shell side fluid temoerature (oC) T2 = outlet shell side fluid temerature (oC) t1 = inlet tube side temoerature (oC) t2 = outlet tube side temerature (oC) ∆Tlm = -7.8339 oC Temperature correction Fctor calculation: Using two shell pass and four or multiple of Two tube passes Np= R = (T1-T2) / (t2-t1) R = 0.5550622 286 S = (t2-t1) / (T1-t1) S = 0.6002132 Ft = 0.98 From figure 12.20 ∆Tm = Ft * ∆Tlm where: ∆Tm = true temperature difference Ft = the temperature correction factor ∆Tlm = log mean temperature differace ∆Tm = -7.677181 oC Assuming U = 1000 W/m2 oC (From table 12.1) A= Q / U * ∆Tm where: A = provisional area (m2) Q = heat load (kW) U = overall heat transfer coefficient (W/m2 oC) Provisional area = 26.527979 m2 Choosing Tube outside diameter(do) = 21 mm Tube inner diameter(di) = 17 mm Tube length(L) = 5 m Take tube materail is cupro- nickel Area of one tube = L* do *π Area of one tube = 0.3298672 m2 Number of tubes = provisinal area / area of one tube 287 Number of tubes = 80 Using 1.25 triangular pitch K1 = 0.249 Use table 12.4 n1 = 2.207 Db = (do)*( Nt / K1)^ (1/n1) where; Db =bundle diameter (mm) do = outer diameter (mm) Nt : number of tubes K1& n1 are constant Bundle diameter (Db) = 288 mm 0.2878271 m Using split ring floating head type Bundle diametrical clearance = 75 mm Ds = Db + Bundle diametrical clearance Shell diameter(Ds) = 363 mm 0.3628271 m Shell length(m)= 5.3628271 m Tube side coefficient Method 1 Mean Tube temperature=(t1+t2)/2 = 94.496 oC Tube cross-sectional area = p/4 *di2= 226.98007 mm2 Tube per pass=(Nt/NP) = 40 Total flow area = tubes per pass * cross sectional area 288 Total flow area = 0.0091269 m2 mass velocity = mass flow rate / total flow area Tube mass velocity = 2.16E+02 kg/s.m2 linear velosity (ut ) = mass velosity / density Tube linear velocity (ut) = 3.39E-01 m/s hi = (4200* (1.35+0.02t)* ut0.8)/(di0.2) where: hi =inside coefficient (W/m2 oC) t =mean temperature (oC) ut =linear velocity (m/s) di =tube inside diameter (mm) hi = 3250.8831 W/m2 oC Method 2 Renolds number (Re) = ρ* ut*di/ µ Re = 5.16E+03 Prandtl number (Pr) = Cp µ / kf Pr = 9.11E+01 L/di = 2.94E+02 From Figuer 12.23 Tube -side heat transfer factor: jh = 1.70E-02 where jh is the heat transfer factor assume that the viscisity of the fluid is the same as at the wall (µ/µwall) = 1 (hi di / kf) = jh Re Pr0.33 * (µ/µwall)0.14 289 hi = 1.36E+04 W/m2 oC Using hi from method 1 as it has low value hi = 3251 W/m2 oC Shell-side coefficient Choose baffle spacing (Lb)= (Ds/5) = 72.56542 mm Tube pitch (pt) =1.25 * do= 26.25 mm Cross flow area (As) =((pt - do)* Ds* Lb)/pt Cross flow area As = 0.0052657 m2 Mass velocity (Gs) = mass flow rate / cross flow area Mass velocity (Gs) = 1724.2485 kg/s.m2 Equivalent diameter de =(1.1/do)(pt2-0.917do2) de = 1.49E+01 mm Mean Shell side temperature =(T1+T2)/2 Mean Shell side temperature = 102.5 oC Renolds number (Re) = (Gs de)/ m Re = 3.E+04 Prandtl number (Pr) = Cp µ / kf Pr = 96.07 Choose 15% baffle cut jh = 1.00E-02 Without the viscosity correction term, (µ/µw) = 1 hs = kf* jh *Re *Pr^(1/3) / de hs = 62566.755 W/m2 oC 290 Overall Heat Transfer Coefficient Thermal conductivity of cupro-nickel alloy= 50 W/moC Taking fouling coefficients from table 12.2 Outside coefficient(fouling factor)=hod 3500 W/m2 oC Inside coefficient(fouling factor) =hid 5000 W/m2 oC 1/Uo =(1/ho) + (1/hod) + ( do(ln(do/di))/2kw) + (do/di) * (1/hid) + (do/di) * (1/hi) 1/Uo = 8.84E-04 Uo= 1.13E+03 W/m2 oC Close to initial value assumed Pressure Drop Tube side Re = 5.16E+03 jf = 3.00E-02 where jf is the friction factor ΔPt= Np [ 8jf (L/di)(µ/µw)^(-m) +2.5 ] ρut²/2 where , ΔPt = tube side pressur drop (N/m²)(pa) Np= number of tube side passes ut= tube side velosity (m/s) L = length of one tube Neglecting the viscosity correction term, (µ/µw) = 1 ∆pt= 5357.0565 N/m2 5.3570565 kPa 0.7770269 psi 291 Shell side (Acceptable) Linear velocity =Gs /ρ= 1.7193483 m/s Re = 3.E+04 jf = 6.00E-02 from fig 12.30 ΔPs = 8jf (Ds/de)(L/Lb)( ρus^2/2)(µ/µw)^(-0.14) where : L : tube length Lb : baffle spacing ∆Ps = 1192907.4 N/m2 1192.9074 kPa 173.02807 psi Thickness Calculations: (Acceptable) t =(Pri/(SEJ-0.6P))+Cc where: t = shell thichness (in) P = Maximum allowable internal pressure (psig) ri= internal raduis of shell before allowance corrosion is added (in) EJ = efficincy of joients S = working stress (psi) Cc = allowance for corrosin (in ri = 7.142269604 in P = 15 psi 292 S = 13706.66 psi (for carbon steel) EJ = 0.85 Cc = 0.125 in t = 0.134 in t = 3.4 mm Cost Calculations: Heat transfer area = 285.54 ft2 Cost = $784,600 www.matche.co 293 Compressor Introduction :A gas compressor is a mechanical device that increases the pressure of a gas by reducing its volume. Compressors are similar to pumps: both increase the pressure on a fluid and both can transport the fluid through a pipe. As gases are compressible, the compressor also reduces the volume of a gas. Liquids are relatively incompressible, so the main action of a pump is to transport liquids. Types of Compressors Fig1: types of compressors 1- Centrifugal compressors Centrifugal compressors use a rotating disk or impeller in a shaped housing to force the gas to the rim of the impeller, increasing the velocity of the gas. A diffuser (divergent duct) section converts the velocity energy to pressure energy. They are primarily used for continuous, stationary service in industries such as oil refineries, chemical and petrochemical plants and natural gas processing plants.[1][2][3] Their application can be from 100 hp (75 294 kW) to thousands of horsepower. With multiple staging, they can achieve extremely high output pressures greater than 10,000 psi (69 MPa). Many large snow-making operations (like ski resorts) use this type of compressor. They are also used in internal combustion engines as superchargers and turbochargers. Centrifugal compressors are used in small gas turbineengines or as the final compression stage of medium sized gas turbines. Fig2: A single stage centrifugal compresso 2- Axial-flow compressors Axial-flow compressors are dynamic rotating compressors that use arrays of fan-like aero foils to progressively compress the working fluid. They are used where there is a requirement for a high flows or a compact design. The arrays of aero foils are set in rows, usually as pairs: one rotating and one stationary. The rotating aero foils, also known as blades or rotors, decelerate and pressurize the fluid. The stationary aero foils, also known as a stators or vanes, turn and decelerate the fluid; preparing and redirecting the flow for the rotor blades of the next stage.[1] Axial compressors are almost always multi-staged, with the cross-sectional area of the gas passage diminishing 295 along the compressor to maintain an optimum axial Mach number. Beyond about 5 stages or a 4:1 design pressure ratio, variable geometry is normally used to improve operation. Axial compressors can have high efficiencies; around 90% polytrophic at their design conditions. However, they are relatively expensive, requiring a large number of components, tight tolerances and high quality materials. Axial-flow compressors can be found in medium to large gas turbine engines, in natural gas pumping stations, and within certain chemical plants Fig3: an axial compressor 3- Reciprocating compressors Reciprocating compressors use pistons driven by a crankshaft. They can be either stationary or portable, can be single or multi-staged, and can be driven by electric motors or internal combustion engines. Small reciprocating compressors from 5 to 30 horsepower (hp) are commonly seen in automotive applications and are typically for intermittent duty. Larger reciprocating compressors up to 1000 hp are still commonly found in large industrial applications, but their numbers are declining as they are replaced by various other types of compressors. Discharge pressures can range from low pressure to very high pressure (>5000 psi or 35 MPa). In certain applications, such as air compression, multi-stage double-acting compressors are said to be the most efficient compressors available, and are typically larger, noisier, and more costly than comparable rotary units. 296 Fig4: A reciprocating compressor 4- Rotary screw compressors Rotary screw compressors use two meshed rotating positive-displacement helical screws to force the gas into a smaller space.[1][7][8] These are usually used for continuous operation in commercial and industrial applications and may be either stationary or portable. Their application can be from 3 hp (2.24 kW) to over 500 hp (375 kW) and from low pressure to very high pressure (>1200 psi or 8.3 MPa). They are commonly seen with roadside repair crews powering air-tools. This type is also used for many automobile engine superchargers because it is easily matched to the induction capacity of a piston Engine. Fig5: a rotary screw compressor 297 4- scroll compressor A scroll compressor, also known as scroll pump and scroll vacuum pump, uses two interleaved spiral-like vanes to pump or compressfluids such as liquids and gases. The vane geometry may be involute, archimedean spiral, or hybrid curves.[9][10][11] They operate more smoothly, quietly, and reliably than other types of compressors in the lower volume range. Often, one of the scrolls is fixed, while the other orbits eccentrically without rotating, thereby trapping and pumping or compressing pockets of fluid or gas between the scrolls. Fig6: Mechanism of a scroll pump Applications:Gas compressors are used in various applications where either higher pressures or lower volumes of gas are needed: In pipeline transport of purified natural gas to move the gas from the production site to the consumer. 298 In petroleum refineries, natural gas processing plants, petrochemical and chemical plants, and similar large industrial plants for compressing intermediate and end product gases. In refrigeration and air conditioner equipment to move heat from one place to another in refrigerant cycles: see Vapor-compression refrigeration. In gas turbine systems to compress the intake combustion air In storing purified or manufactured gases in a small volume, high pressure cylinders for medical, welding and other uses. In many various industrial, manufacturing and building processes to power all types of pneumatic tools. as a medium for transferring energy, such as to power pneumatic equipment. In pressurized aircraft to provide a breathable atmosphere of higher than ambient pressure. In some types of jet engines (such as turbojets and turbofans) to provide the air required for combustion of the engine fuel. The power to drive the combustion air compressor comes from the jet's own turbines. Design Procedure:1. Calculate the compression factor using the following equation: n P1 T1 n 1 , P2 T 2 Where P1,2 is the pressure of inlet and outlet respectively (psia), And T1,2 is the temperature of the inlet and outlet respectively (R). 299 2. Calculate the work done in Btu/lbmol by: W nR (T 1 T 2 ) , 1 n Where R is the ratio of the specific heat capacities (Cp/Cv). 3. Calculate the horse power, Hp using the following equation: Hp=W*M, Where M is the molar flow rate in lbmol/s. 4. Calculate the efficiency of the compressor using the following equation: Ep n K n 1 , K 1 Where K MwC p MwC p 1.986 and Mw is the molecular weight of the gas in the stream and Cp is the specific heat capacity (Btu/lboF). 5. Calculate the cost of the compressor from www.matche.com 300 Calculation :Table1 : calculation of compressor for “k101” Variable Value Molar flow rate (lbmol/s) = 0.504166667 P1 (psia) = 14.7 P2 (psia) = 45 T1 (R) = 563.67 T2 (R) = 702.054 Ln(P1/P2) = -1.118814996 Ln(T1/T2) = -0.21954135 Ln(P1/P2)/ln(T1/T2) = 5.096147011 N= 1.244131863 Ln(P1/P2)/ln(T1/T2)-n/(n-1) = 0 Mw = 3.066 Z= 1 R (Cv/Cp) = 1.4053 Cp (Btu/lb˚F) = 6.88593 Rc = 3.06122449 W (Btu/lbmol) = 991.0529848 Hp (Hp) = 706.3446498 K= 1.103836289 Ep (%) = 47.93872045 Cost ($) = 186,000 301 Equipment Name Compressor Objective To increase the pressure Equipment Number K-101 Designer Abdulhameed al-awadhi Type Centrifugal Compressor Material of Construction Carbon steel Insulation Quartz wool Cost $186,000 Operating Condition Inlet Temperature (◦C) 563.67 Outlet Temperature (◦C) 702.054 Inlet Pressure (psia) 14.7 Outlet Pressure (psia) 45 Efficiency (%) 47.93872045 Power (Hp) 706.3446498 Storage tank Introduction :Tanks are basically was made to hold, transport or store fluid and solid. Gases are stored at high pressures where this process requirement and to reduce the storage volume .for some gases the volume can be further reduced by liquefying the gas by pressure or refrigeration .cylindrical and spherical vessels are used. Liquids are usually stored in bulk in vertical cylindrical steel tanks; Fixed and floating-roof tanks are used. In a floatingroof tank a movable piston floats on the surface of the liquid and is sealed to the tank walls. Floating-roof tanks are used to eliminate evaporation losses and, for liquids, to obviate the need for inert gas blanketing to prevent an 302 explosive mixture forming above the liquid, as would be the situation with a fixed-roof tank. Horizontal cylindrical tanks and rectangular tanks are used also used for storing liquids, usually for relatively small quantities. Storage of solid is usually more expensive than the movement of liquid and gases, which can easily pumped down a pipeline. The design more flexible and moderate the international conditions. Storage tanks can be divided as Aboveground Storage Tanks (ASTs) and Underground Storage Tanks (USTs). While the ASTs have more capacity, they require frequent maintenance operations and inspection as compared to USTs that are of lower capacity. These tanks are usually made of Carbon Steel/Stainless Steel or Aluminum. Where carbon steel is used, the concentration of carbon should be less than 0.3%. The material has to be decided carefully depending upon the costing and material that is to be stored in the tank. The construction basically involves welding the steel plates together to form the structure and proceeds in three stages:Stage 1: A concrete base is constructed upon which the tank ring walls reside. The first tank ring is erected, which is approximately 8 to 10 feet 303 high. The only means of entry/exit is a manhole cut into one of the steel plates that comprises the ring. Stage 2: A second ring is erected on top of the first ring and welded into place. With this ring in place, the tank walls are 16 to 20 feet high. A "door sheet" is then cut out, creating an opening approximately 8 feet wide by 10 feet high. This opening provides access for personnel, equipment and material. Airflow is typically not a problem at this stage. Stage 3: The top is erected and forced air ventilation is used to assist in air flow. Usually the roofs of ASTs are designed to be rounded so as to prevent it from buckling under wind loads. Now days, most tanks are built in with a floating fixed roof inside the rounded one, which rises and sinks according to the fluid level inside the container. This acts as a safety point as it decreases the vapor space above the liquid level Another safety requirement to prevent leakage is to build a dike around the container that holds the spilled liquid and prevents it from leaking out. The leakage is caused as a result of corrosive action, which may result in pits, cracks, crevices etc. Therefore, it is necessary to regularly inspect the tanks, keep records for tracking, plan out inspections and assess results for appropriate measures to be taken. Besides, it is also necessary to inspect the newly constructed tanks for welding. 304 Design of storage tank In the design of the storage there are some main principles to be considered to make the design more flexible and moderate the international conditions. In the case of this project the tanks which will be used is cylindrical in shape. This shape is the proper one for the liquid phase in our case. Also the top space in the tank for the vapor pressure of the component will be 12 % of the tank volume. The steps in the design will begin in finding the volume of the liquid part in the tank and then determining the height and diameter of this part. After that the total volume will be determined . finally all the dimensions could be determined from this volume. Volume of the liquid= Total mass flow rate in* time hold-up Time hold-up: the time where the liquid is hold inside the tank Volume of cylinder = π R2 H … (1) Get the volume of the liquid (assume H=0.2D) To determine vapor pressure Antoine equation is used: Log10 P* = A- (B/C+T) … (2) T: the temperature in ˚C The values of A, B, and C is taken from table Antoine equation constant At this vapor pressure the top space in the tank can be determined. the totel volume=volume of liquid/0.12 … (3) Diameter3 = (5*total volume)/П Height = 0.2diameter Area of the tank = total volume/ height … (4) 305 Thickness t = (P r i / S E - 0.6P) + Cc …(5) Assumption : Cylindrical tank Square shape from inside (H =0.2 D) Sample calculation:Thickness t = (P r i / S E – 0.6P) + Cc P : internal pressure (kpa gage) r i : internal raduis of shell (m) E : efficincy of joients=0.85 S : working stress (kpa)=94500 Cc : allowance for corrosin (m)=0.003175 Tank (T-104) Storage no. Flow rate(m3/hr) time hold(hr) volume of liquid(m3) T_104 35.37066246 0.5 17.68533123 Storage no. Total Volume(m3) D^3 ActD(tank)m ActH(tank)m Area(m2) T_104 147.3777603 234.6779622 6.168185643 1.233637129 119.46605 Storage no. P(kpa) ri(m) E(m) S(kpa) Cc(m) t(m) T_104 101.3 37.47089627 0.85 94500 0.003175 0.050466 306 Tank (T-103) Storage no. Flow rate(m3/hr) time hold(hr) volume of liquid(m3) V_103 380.0460732 0.1 38.00460732 Storage no. Total Volume(m3) D^3 ActD(tank)m ActH(tank)m Area(m2) T_103 316.705061 504.3074219 7.959732142 1.591946428 198.94203 Storage no. P(kpa) ri(m) E(m) S(kpa) Cc(m) t(m) T_103 101.3 3.979866071 0.85 94500 0.003175 0.008198 Tank (V-104) Storage no. Flow rate(m3/hr) time hold(hr) volume of liquid(m3) V_104 54.569 0.1 5.4569 Storage Total no. Volume(m3) D^3 V_104 ActD(tank)m ActH(tank)m Area(m2) 45.47416667 72.41109342 4.168070299 0.83361406 54.550623 Storage no. P(kpa) ri(m) E(m) S(kpa) Cc(m) t(m) V_104 101.3 2.084035149 0.85 94500 0.003175 0.005805 307 Equipment Name Start up tank Objective To store nitrobenzene feed Equipment Number T_104 Designer Abdulhameed al-awadhi Type Fixed Head Location after stream 6 Material of Construction Carbon steel Insulation Quartz Wool Cost 265500$ Operating Condition Operating Temperature (oC) 100 Diameter (m) 22.34 Operating Pressure (kpa) 2742 Height (m) 4.47 Feed Flow Rate (kgmole/s) 377 Thickness (m) 0.187 Vapor Pressure (atm) 3077.68 Total Area (m) 119.46605 308 Equipment Name Catalyst hopper Objective To store catalyt feed Equipment Number T_103 Designer Abdulhameed al-awadhi Type Fixed Head Location Before K-102 Material of Construction Carbon steel Insulation Quartz Wool Cost 148000$ Operating Condition Operating Temperature (oC) 200 Diameter (m) 20. 4 Operating Pressure (kpa) 101.3 Height (m) 4. 76 Feed Flow Rate (kgmole/s) 10.53 Thickness (m) 0.167 Vapor Pressure (atm) 4162. 8 Total Area (m) 198.94203 309 Equipment Name Discharge drum Objective To store nitrobenzene & hydrogen Equipment Number V_104 Designer Abdulhameed al-awadhi Type Fixed Head Location After hydrogen feed Material of Construction Carbon steel Insulation Quartz Wool Cost 172500$ Operating Condition Operating Temperature (oC) 25 Diameter (m) 20.82 Operating Pressure (kpa) 101.3 Height (m) 5.07 Feed Flow Rate (kgmole/s) 835 Thickness (m) 0.204 Vapor Pressure (atm) 4002. 7 Total Area (m) 54.550623 310 Yousef A.Almunifi 208112671 -Heat exchanger(E-203) -Heat Exchanger (E-204) -Heat Exchanger(E-205) -Furnace(F-101) -Compressor(k-102) -Tank T-201 A&B -V-105 -V-204 311 Heat Exchangers What are heat exchangers? Heat exchangers are devices used to transfer heat energy from one fluid to another. Typical heat exchangers experienced by us in our daily lives include condensers and evaporators used in air conditioning units and refrigerators. Boilers and condensers in thermal power plants are examples of large industrial heat exchangers. There are heat exchangers in our automobiles in the form of radiators and oil coolers. Heat exchangers are also abundant in chemical and process industries. There is a wide variety of heat exchangers for diverse kinds of uses, hence the construction also would differ widely. However, in spite of the variety, most heat exchangers can be classified into some common types based on some fundamental design concepts. We will consider only the more common types here for discussing some analysis and design methodologies. Heat Transfer Considerations The energy flow between hot and cold streams, with hot stream in the bigger diameter tube, is as shown in Figure 1. Heat transfer mode is by convection on the inside as well as outside of the inner tube and by conduction across the tube. Since the heat transfer occurs across the smaller tube, it is this internal surface which controls the heat transfer process. By convention, it is the outer surface, termed Ao, of this central tube which is referred to in describing heat exchanger area. Applying the principles of thermal resistance, 312 End view of a tubular heat exchanger If we define overall the heat transfer coefficient, Uc, as: Substituting the value of the thermal resistance R yields: Standard convective correlations are available in text books and handbooks for the convective coefficients, ho and hi. The thermal conductivity, k, corresponds to that for the material of the internal tube. To evaluate the thermal resistances, geometrical quantities (areas and radii) are determined from the internal tube dimensions available. Fouling Material deposits on the surfaces of the heat exchanger tubes may add more thermal resistances to heat transfer. Such deposits, which are detrimental to the heat exchange process, are known as fouling. Fouling can be caused by a variety of reasons and may significantly affect heat exchanger performance. 313 With the addition of fouling resistance, the overall heat transfer coefficient, Uc, may be modified as: where R” is the fouling resistance. Fouling can be caused by the following sources: 1) Scaling is the most common form of fouling and is associated with inverse solubility salts. Examples of such salts are CaCO3, CaSO4, Ca3(PO4)2, CaSiO3, Ca(OH)2, Mg(OH)2, MgSiO3, Na2SO4, LiSO4, and Li2CO3. 2) Corrosion fouling is caused by chemical reaction of some fluid constituents with the heat exchanger tube material. 3) Chemical reaction fouling involves chemical reactions in the process stream which results in deposition of material on the heat exchanger tubes. This commonly occurs in food processing industries. 4) Freezing fouling is occurs when a portion of the hot stream is cooled to near the freezing point for one of its components. This commonly occurs in refineries where paraffin frequently solidifies from petroleum products at various stages in the refining process. , obstructing both flow and heat transfer. 5) Biological fouling is common where untreated water from natural resources such as rivers and lakes is used as a coolant. Biological microorganisms such as algae or other microbes can grow inside the heat exchanger and hinder heat transfer. 6) Particulate fouling results from the presence of microscale sized particles in solution. When such particles accumulate on a heat exchanger surface 314 they sometimes fuse and harden. Like scale these deposits are difficult to remove. With fouling, the expression for overall heat transfer coefficient becomes: Basic Heat Exchanger Flow Arrangements Two basic flow arrangements are as shown in Figure 2. Parallel and counter flow provide alternative arrangements for certain specialized applications. In parallel flow both the hot and cold streams enter the heat exchanger at the same end and travel to the opposite end in parallel streams. Energy is transferred along the length from the hot to the cold fluid so the outlet temperatures asymptotically approach each other. In a counter flow arrangement, the two streams enter at opposite ends of the heat exchanger and flow in parallel but opposite directions. Temperatures within the two streams tend to approach one another in a nearly linearly fashion resulting in a much more uniform heating pattern. Shown below the heat exchangers are representations of the axial temperature profiles for each. Parallel flow results in rapid initial rates of heat exchange near the entrance, but heat transfer rates rapidly decrease as the temperatures of the two streams approach one another. This leads to higher energy loss during heat exchange. Counter flow provides for relatively uniform temperature differences and, consequently, lead toward relatively uniform heat rates throughout the length of the unit. 315 Basic Flow Arrangements for Tubular Heat Exchangers. Log Mean Temperature Differences Heat flows between the hot and cold streams due to the temperature difference across the tube acting as a driving force. As seen in the Figure 7.3, the temperature difference will vary along the length of the HX, and this must be taken into account in the analysis. Temperature Differences Between Hot and Cold Process Streams 316 From the heat exchanger equations shown earlier, it can be shown that the integrated average temperature difference for either parallel or counter flow may be written as: The effective temperature difference calculated from this equation is known as the log mean temperature difference, frequently abbreviated as LMTD, based on the type of mathematical average that it describes. While the equation applies to either parallel or counter flow, it can be shown that ∆Ɵeff will always be greater in the counter flow arrangement. Another interesting observation from the above Figure is that counter flow is more appropriate for maximum energy recovery. In a number of industrial applications there will be considerable energy available within a hot waste stream which may be recovered before the stream is discharged. This is done by recovering energy into a fresh cold stream. Note in the Figures shown above that the hot stream may be cooled to t1 for counter flow, but may only be cooled to t2 for parallel flow. Counter flow allows for a greater degree of energy recovery. Similar arguments may be made to show the advantage of counter flow for energy recovery from refrigerated cold streams. Applications for Counter and Parallel Flows We have seen two advantages for counter flow, (a) larger effective LMTD and (b) greater potential energy recovery. The advantage of the larger LMTD, as seen from the heat exchanger equation, is that a larger LMTD permits a smaller heat exchanger area, Ao, for a given heat transfer, Q. This would normally be expected to result in smaller, less expensive equipment for a given application. 317 Sometimes, however, parallel flows are desirable (a) where the high initial heating rate may be used to advantage and (b) where it is required the temperatures developed at the tube walls are moderate. In heating very viscous fluids, parallel flow provides for rapid initial heating and consequent decrease in fluid viscosity and reduction in pumping requirement. In applications where moderation of tube wall temperatures is required, parallel flow results in cooler walls. This is especially beneficial in cases where the tubes are sensitive to fouling effects which are aggravated by high temperature. Multipass Flow Arrangements In order to increase the surface area for convection relative to the fluid volume, it is common to design for multiple tubes within a single heat exchanger. With multiple tubes it is possible to arrange to flow so that one region will be in parallel and another portion in counter flow. An arrangement where the tube side fluid passes through once in parallel and once in counter flow is shown in the Figure 4. Normal terminology would refer to this arrangement as a 1-2 pass heat exchanger, indicating that the shell side fluid passes through the unit once, the tube side twice. By convention the number of shell side passes is always listed first. 318 Multipass flow arrangement The primary reason for using multipass designs is to increase the average tube side fluid velocity in a given arrangement. In a two pass arrangement the fluid flows through only half the tubes and any one point, so that the Reynold’s number is effectively doubled. Increasing the Reynolds’s number results in increased turbulence, increased Nusselt numbers and, finally, in increased convection coefficients. Even though the parallel portion of the flow results in a lower effective ∆T, the increase in overall heat transfer coefficient will frequently compensate so that the overall heat exchanger size will be smaller for a specific service. The improvement achievable with multipass heat exchangers is substantialy large. Accordingly, it is a more accepted practice in modern industries compared to conventional true parallel or counter flow designs. The LMTD formulas developed earlier are no longer adequate for multipass heat exchangers. Normal practice is to calculate the LMTD for counter flow, LMTDcf, and to apply a correction factor, FT, such that The correction factors, FT, can be found theoretically and presented in analytical form. The equation given below has been shown to be accurate for any arrangement having 2, 4, 6,.....,2n tube passes per shell pass to within 2%. where the capacity ratio, R, is defined as: The effectiveness may be given by the equation: Provided that R>1. In the case that R=1, the effectiveness is given by: Effectiveness-NTU Method: Quite often, heat exchanger analysts are faced with the situation that only the inlet temperatures are known and the heat transfer characteristics (UA value) are known, but the outlet temperatures have to be calculated. Clearly, LMTH method will not be applicable here. In this regard, an alternative method known as the ε-NTU method is used. 320 321 NTUmax can be obtained from figures in textbooks/handbooks First, however, we must determine which fluid has Cmin. Theory of Heat Exchanger: Q mC p T Where: - Qh = Heat load transfer in the hot side, KW. - m Mass flow rate in Kg/s. - T Temperature difference of the inlet and outlet. Tlm (T1 t 2 ) (T2 t1 ) (T t ) ln 1 2 (T2 t1 ) 322 Where: - TLM Log means Temperature. - T1 Inlet shell side fluid temperature (oC). - T2 - t1 Outlet shell side fluid temperature (oC). Inlet tube side temperature (oC). - t 2 Outlet tube temperature (oC). R (T1 T2 ) (t 2 t1 ) S (t 2 t1 ) (T1 t1 ) Tm Ft Tlm Where: - Tm True temperature difference. - Ft Temperature correction factor. A Q UTm Where: - A Provisional area in m2. - Q Heat load in W. - Tm True temperature difference. A DL 323 Where: - A Area of one tube, m2. N t Provisional area/Area of one tube. Where: - N t Number of tubes. 1 N Db d 0 ( t ) n1 K1 Where: - Db Bundle diameter (mm). - d 0 Outside diameter (mm). - N t Number of tubes. -K1 & n1 are constant. Ds Db Clearance Where: - Ds Sell diameter. - Db Bundle diameter (mm). Ac 4 (d i ) 2 Where: 324 - Ac Tube cross-sectional area. - di Tube inner diameter. N Tubes t Pass 4 Where: - N t Number of tubes. At Ac Tubes Pass Where: - At Total flow area. Um m At Where: - U m Tube mass velocity. - At Total flow area. - m Mass flow rate in Kg/s. Ut Um ref Where: - U t Tube linear velocity. - ref Density. 325 hi (4200 * (1.35 0.02t ) * U t di 0.8 ) 0.2 Where: - hi Inside coefficient (W/m2 oC). - U t Tube linear velocity. - t Mean temperature (oC). Re U t d i Where: - Re Reynolds number. - Fluid viscosity at the bulk fluid temperature, Ns/m2. Pr Cp kf Where: - Pr Prandtl number. - C p Heat capacity. - k f Thermal conductivity of stream. hi k f j h Re(Pr) 0.33 di Where: - hi Inside coefficient (W/m2 oC). 326 - j h Tube side heat transfer factor. - k f Thermal conductivity of stream. - Pr Prandtl number. lB Ds 5 Where: - l B Baffle spacing. - Ds Shell diameter. pt 1.25d 0 Where: - pt Tube pitch. - d 0 Outside diameter (mm). As ( p t d 0 ) Ds l B pt Where: - As Cross-flow area. - pt Tube pitch. - d 0 Outside diameter (mm). Gs m As Where: 327 - Ds Shell diameter. - Gs Mass velocity. - As Cross-flow area. - m Mass flow rate in Kg/s. de 1.1 2 2 ( pt 0.917 d 0 ) d0 Where: - d e Equivalent diameter (mm). - d 0 Outside diameter (mm). - pt Tube pitch. Re Gs d e Where: - Re Reynolds number. - d e Equivalent diameter (mm). - Gs Mass velocity. - Fluid viscosity at the bulk fluid temperature, Ns/m2. 1 1 1 U 0 h0 hod d 0 ln( d0 ) di 2k w d0 1 d 1 0 d i hid d i hi Where: - U 0 The overall heat transfer coefficient. 328 - hod Outside coefficient (fouling factor). - hid Inside coefficient (fouling factor). L Pt N p 8 j f di w m u 2 2.5 t 2 Where: - Pt Tube- side pressure drop (N/m²) (pa). - N p Number of tube -side passes. - ut Tube-side velocity, m/s. - L Length of one tube. - j f Friction factor. - w Fluid viscosity at the wall. - Fluid viscosity at the bulk fluid temperature, Ns/m2. Ds L u s 2 Ps 8 j f d e l B 2 w 0.14 Where: - Ps Shell-side pressure drop (N/m²) (pa). - j f Friction factor. - L Length of tube. t Pri Cc SEj 0.6 P 329 Where: - t Shell thickness (in). - P Maximum allowable internal pressure (psig). - ri Internal radius of shell before allowance corrosion is added (in). - E j Efficiency of joints. - S Working stress (psi). - Cc Allowance for corrosion (in) 330 Sample Calculation: (E-203): 331 332 333 334 335 (E-204): 336 337 338 339 340 (E-205): 341 342 343 344 345 Furnace(F-101): An industrial furnace or direct fired heater, is an equipment used to provide heat for a process or can serve as reactor which provides heats of reaction. Furnace designs vary as to its function, heating duty, type of fuel and method of introducing combustion air. However, most process furnaces have some common features. Fuel flows into the burner and is burnt with air provided from an air blower. There can be more than one burner in a particular furnace which can be arranged in cells which heat a particular set of tubes. Burners can also be floor mounted, wall mounted or roof mounted depending on design. The flames heat up the tubes, which in turn heat the fluid inside in the first part of the furnace known as the radiant section or firebox. In this chamber where combustion takes place, the heat is transferred mainly by radiation to tubes around the fire in the chamber. The heating fluid passes through the tubes and is thus heated to the desired temperature. The gases from the combustion are known as flue gas. After the flue gas leaves the firebox, most furnace designs include a convection section where more heat is recovered before venting to the atmosphere through the flue gas stack. (HTF=Heat Transfer Fluid. Industries commonly use their furnaces to heat a secondary fluid with special additives like anti-rust and high heat transfer efficiency. This heated fluid is then circulated round the whole plant to heat exchangers to be used wherever heat is needed instead of directly heating the product line as the product or material may be volatile or prone to cracking at the furnace temperature.) 346 Radiant section The radiant section is where the tubes receive almost all its heat by radiation from the flame. In a vertical, cylindrical furnace, the tubes are vertical. Tubes can be vertical or horizontal, placed along the refractory wall, in the middle, or arranged in cells. Studs are used to hold the insulation together and on the wall of the furnace. They are placed about 1 ft (300 mm) apart in this picture of the inside of a furnace. The tubes which are reddish brown from corrosion, are carbon steel tubes and run the height of the radiant section. The tubes are a distance away from the insulation so radiation can be reflected to the back of the tubes to maintain a uniform tube wall temperature. Tube guides at the top, middle and bottom hold the tubes in place. 347 Convection section The convection section is located above the radiant section where it is cooler to recover additional heat. Heat transfer takes place by convection here, and the tubes are finned to increase heat transfer. The first two tube rows in the bottom of the convection section and at the top of the radiant section is an area of bare tubes (without fins) and are known as the shield section, so named because they are still exposed to plenty of radiation from the firebox and they also act to shield the convection section tubes, which are normally of less resistant material from the high temperatures in the firebox. The area of the radiant section just before flue gas enters the shield section and into the convection section called the bridge zone. Crossover is the term used to describe the tube that connects from the convection section outlet to the radiant section inlet. 348 The crossover piping is normally located outside so that the temperature can be monitored and the efficiency of the convection section can be calculated. The sightglass at the top allows personnel to see the flame shape and pattern from above and visually inspect if flame impingement is occurring. Flame impingement happens when the flame touches the tubes and causes small isolated spots of very high temperature. Burner The burner in the vertical, cylindrical furnace as above, is located in the floor and fires upward. Some furnaces have side fired burners, such as in train locomotives. The burner tile is made of high temperature refractory and is where the flame is contained in. Air registers located below the burner and at the outlet of the air blower are devices with movable flaps or vanes that control the shape and 349 pattern of the flame, whether it spreads out or even swirls around. Flames should not spread out too much, as this will cause flame impingement. Air registers can be classified as primary, secondary and if applicable, tertiary, depending on when their air is introduced. The primary air register supplies primary air, which is the first to be introduced in the burner. Secondary air is added to supplement primary air. Burners may include a premixer to mix the air and fuel for better combustion before introducing into the burner. Some burners even use steam as premix to preheat the air and create better mixing of the fuel and heated air. The floor of the furnace is mostly made of a different material from that of the wall, typically hard cast able refractory to allow technicians to walk on its floor during maintenance. 350 Direct radiation in the radiant section of a direct fired heater can be described by the equation shown below. qr 4 cpF(Tg - Tw4) Where, qr = Radiant heat transfer, Btu/hr s = Stefan-Boltzman constant, 0.173E-8 Btu/ft2-hr-R4 a = Relative effectiveness factor of the tube bank Acp = Cold plane area of the tube bank, ft2 F = Exchange factor Tg = Effective gas temperature in firebox, °R Tw = Average tube wall temperature, °R Relative Effectiveness Factor, a: Because the tube bank does not absorb all the heat radiated to the cold plane, an absorption effectiveness factor, a, can be used to correct the cold plane area, depending on the arrangement of the tubes. The relative effectiveness factor can be described by the following curves. For a single row in front of a refractory wall, use Total One Row. For two rows in front of a refractory wall, use Total Two Rows. For double sided firing, use Direct One Row. 351 Cold Plane Area, Acp: The normal heat-absorbing surfaces in a fired heater consist of a number of parallel tubes. In the case of a fired heater design where the tubes are fired from one side only, the tubes are normally positioned in front of a refractory wall. Part of the radiation from the hot gas strikes the tubes directly, while the rest passes through and is radiated back into the chamber, where part is absorbed by the tubes. In the case of tubes fired from both sides, as when the tubes are positioned in the center of the chamber, the tubes absorb direct radiation from both sides. Expressing the tube area as an equivalent plane area simplifies this calculation. The calculated cold plane area is the area of a plane through the tube center lines, whether they are in a curved plane, such as in a cylindrical pattern or in a row side-by-side. For most tube panels, the width would be equal to the center/center spacing of the tubes times the number of tubes. 352 The length is the length of tube exposed to the radiation. In the case of tubes penetrating a tube sheet it is the length between tube sheets. But for tubes with the return bends inside the firebox, the length may be taken as the distance from the centerline of the return on one end to the centerline of the return on the other end. For a firebox with the tubes down the center, or other pattern which results in the tubes being fired from both sides, the cold plane area would be twice the projected area. Exchange Factor, F: Because the flue gas in the firebox is a poor radiator, the equation must be corrected using an exchange factor which is dependent on the emissivity of the gas and the ratio of refractory area to cold plane area. Since the radiant heat is reflected back into the firebox, by the refractory, a heater having a larger ratio of refractory surface relative to the tube surface will absorb more heat. Since the tubes themselves are not perfect absorbers, the curves are based on a tube-surface absorptivity of 0.9. This is a value considered typical for oxidized metal surfaces. 353 The overall radiant exchange factor, F, can be taken from the curve below. Where, Aw/aAcp : The equivalent cold plane area,aAcp, is the product of the effectiveness factor and the cold plane area as described above. The A w can be described as follows, Aw = Ar - cp and, Aw = Effective refractory area, ft2 Ar = Total refractory area, ft2 354 cp = Equivalent cold plane area, ft2 The total refractory area, Ar, is simply the total of the refractory area exposed to the radiant section of the heater. Flue Gas Emissivity : The gas emissivity can be described by the curve.The tube wall temperature has only a minor effect. Therefore, the emissivity can be correlated as a function of PL product and the gas temperature, T g. Variations in tube wall temperatures between 600 and 1200°F cause less than 1% deviation from these curves. And, PL = Product of the Partial Pressure of the carbon dioxide and water times the Beam Length, in atm-ft. 355 Where, Partial Pressure Of CO2 & H2O : The only constituents normally in the flue gas that contribute significantly to the radiant emission are the carbon dioxide and the water, the sum of these are all that are considered. The Partial pressure of a gas component in atom's is the mole volume fraction percent of that component. For Box Type Heaters Dimension Ratio Mean Beam Length 1-1-1 to 1-1-3 2/3(Furnace Volume)1/3 1-2-1 to 1-2-4 1-1-4 to 1-1-inf 1 x Smallest Dimension 1-2-5 to 1-2-inf 1.3 x Smallest Dimension 1-3-3 to 1-inf-inf 1.8 x Smallest Dimension For Vertical Cylindrical Heaters Length/Diameter < 2 (((L/D)-1)*0.33 + 0.67)*D Length/Diameter >= 2 Diameter Mean Beam Length: In computing the mean beam length, placement of the tubes must be taken into account. If the firebox is a rectangular shape with the tubes down the center, the beam length would be based on half the box. Beam lengths for other configurations, such as a cylindrical heater with an octagonal tube or cross tube layout, must be calculated with consideration for those cavities. 356 The mean beam length for heaters can be accounted for according to Wimpress in Hydrocarbon Processing. Effective gas temperature in firebox, Tg For a radiant section that is considered "well mixed", this temperature is assumed to be equal to the temperature leaving the radiant section, i.e., the bridge wall temperature. For most applications, this is an acceptable assumption. But in a high temperature heater with a tall narrow firebox and wall firing, the Tg controlling radiant transfer may be 200 to 300 °F higher than the exit temperature. Tall, bottom fired cylindrical heaters are somewhere in between normal and this extreme. For those cases where this is true, either an adjustment such as using another temperature in this equation while using the exit temperature for the heat balance or dividing the radiant into zones for the balance calculations, should be considered. Average tube wall temperature, Tw Tube wall temperature depends on the temperature of the process fluid and its transfer coefficient inside the tube, the thermal resistance of the tube wall, the heat flux, and the fouling. The calculation of this temperature will be treated in another section of this guide. The average tube wall temperature as used herein may be one of either the average temperature of the front 180° face of the tube, or the overall average for the full circumference. Some engineers follow one method while the others go the other way. Either way, the overall difference between methods is relatively small. 357 Convective Heat Transfer In The Radiant Section Even though most of the heat exchanged in the radiant section is from radiant heat transfer, the convective heat transfer cannot be ignored. The heat exchanged by convection can be described with the following equation: qc = hcAt(Tg - Tw) Where, qc = Convection heat transfer, Btu/hr hc = Film heat transfer coefficient, Btu/hr-ft2- °R At = Area of the tubes in bank, ft2 Tg = Effective gas temperature in firebox, °R Tw = Average tube wall temperature, °R Film heat transfer coefficient, hc This value cannot be calculated precisely, and is usually selected by experience or rule of thumb. The arrangement of the tubes as well as the firebox design contributes to this factor. For horizontal tube, cabin type heater, which is normally small in size, this coefficient might = 1.5, where on large box heaters with multiple tube cells, it may be as high as 2.8. Vertical heaters with an L/D less than 2 would normally be designed with hc = 2, where for an L/D greater than 2.0, you could use 3.0. 358 Total Radiant Heat Absorption In The Radiant Section The total heat absorbed by the radiant section tubes, now can be expressed by the following equation. q R = qr + qc Where, qR = Total heat transfered to radiant tubes, Btu/hr qr = Radiant heat transfer, Btu/hr qc = Convective heat transfer, Btu/hr Heat Balance In The Radiant Section The procedures we have reviewed above gives us a method to either compute the heat absorbed, or we can calculate the temperature we would need to transfer a specific amount of heat into our process coil. For us to make a heat balance, we will need to determine the firing rate necessary to maintain that temperature. This is accomplished by a heat balance around the fire box. There are three primary sources of heat input to the radiant section, the burner release, qrls, the sensible heat of the combustion air, q air, and the sensible heat of the fuel and any atomizing medium, qother. Heat is taken out of the radiant section by the two heat transfer methods previously explained, qR and qS, and by losses through the casing, qloss, and sensible heat of the exiting flue gas, qout. We can now set up the heat balance equation as follows: Where, 359 qrls + qair + qother = qR + qS + qloss + qout qrls = Heat released by burners, Btu/hr qair = Heat in the combustion air, Btu/hr qother = Heat in other items, Btu/hr qR = Heat absorbed by radiant tubes, Btu/hr qS = Radiant heat to shield tubes, Btu/hr qloss = Heat loss through setting, Btu/hr qout = Heat in gas leaving radiant section, Btu/hr qrls = Heat release by burners, Btu/hr The burner release can be easily calculated for a gas when we know the composition of the fuel and the heating values of the various components. For liquid fuels, the heating values are obtained by a calorimeter test. From these values and using the standard combustion equation, we can determine the composition of the flue gas. As an example, the combustion of methane could be stated : CH4 + 2O2 → CO2 + 2H2O Of course for fuel gases containing many more components and burning in air rather than pure oxygen, the equation gets more complicated. Therefore, a task that in itself is quite simple, becomes a burden to do by hand, but can be easily accomplished by a simple computer program. The heating values normally used in fired heater design are the (LHV), lower heating values. To try some calculations, click the button below to open another window to do some fuel combustion calculations: 360 qair = Heat in the combustion air, Btu/hr The heat available in the combustion air, such as from preheated air, or using Gas Turbine Exhaust, etc., is taken as the heat content above 60 °F, since that is the design datum temperature for fired heaters. For the purpose of this discussion, radiant heat transfer, we are not going to take this into account, i.e., we will consider the air at 60 °F. qother = Heat in other items, Btu/hr The heat available in other items would include such things as the fuel when it is above 60 °F, atomizing air or steam, etc. These must be taken into account in heater design; however, for the purposes of these discussions, we are not going to include them. qloss = Heat loss through setting, Btu/hr These losses, referred to as Setting Loss or Radiation Loss are usually not calculated during heater rating calculations. They are normally accounted for by allowances, such as a percent of burner release or a percent of heat absorbed. Either way, the loss amounts to a rule of thumb. The actual losses may be calculated for the various surfaces and these methods are described elsewhere. qout = Sensible heat in flue gas leaving radiant section, Btu/hr From the flue gas composition, we can calculate the overall enthalpy of the flue gas, at a specific temperature, by adding the proportion each of th components contribute to the total. These enthalpies can be obtained from the following curves: 361 Since the flue gas composition remains consistent for a given fuel and excess air, the first thing we need to do is perform the combustion calculation. This is what we did above to compute the burner release. The enthalpy for a given temperature can now be calculated by obtaining the enthalpy for each component and adding them together. 362 Convection Section Design In the convection section, heat is transferred by both radiation and convection. The convection transfer coefficients for fin and stud tubes are explored here as well as bare tube transfer. The short beam radiation is treated separately from the convection transfer below. This section of Fired Heater Design is divided into five main areas: -Convection Transfer, Bare Tubes. -Convection Transfer, Fin Tubes. -Convection Transfer, Stud Tubes. -Short Beam, Reflective Radiation. -Convection Section Design. Convection Transfer, Bare Tubes Overall Heat Transfer Coefficient, Uo: Uo = 1/Rto Where, Uo = Overall heat transfer coefficient, Btu/hr-ft2-F Rto = Total outside thermal resistance, hr-ft2-F/Bt And, Rto = Ro + Rwo + Rio Ro = Outside thermal resistance, hr-ft2-F/Btu Rwo = Tube wall thermal resistance, hr-ft2-F/Btu Rio = Inside thermal resistance, hr-ft2-F/Btu 363 And the resistances are computed as, Ro = 1/he Rwo = (tw/12*kw)(Ao/Aw) Rio = ((1/hi)+Rfi)(Ao/Ai) he = Effective outside heat transfer coefficient, Btu/hr-ft2-F hi = Inside film heat transfer coefficient, Btu/hr-ft2-F tw = Tubewall thickness, in kw = Tube wall thermal conductivity, Btu/hr-ft-F Ao = Outside tube surface area, ft2/ft Aw = Mean area of tube wall, ft2/ft Ai = Inside tube surface area, ft2/ft Rfi = Inside fouling resistance, hr-ft2-F/Btu Where, Inside film heat transfer coefficient, hi: The inside heat transfer coefficient calculation procedure is covered in detail, elsewhere in this course. Effective outside heat transfer coefficient, he he = 1/(1/(hc+hr)+Rfo) Where, hc = Outside heat transfer coefficient, Btu/hr-ft2-F hr = Outside radiation heat transfer coefficient, Btu/hr-ft2-F Rfo = Outside fouling resistance, hr-ft2-F/Btu 364 Outside film heat transfer coefficient, hc: The bare tube heat transfer film coefficient, h c, can be described by the following equations. For a staggered tube arrangement, hc = 0.33*kb(12/do)((cp b)/kb) 1/3 ((do/12)(Gn b))) 0.6 b))) 0.6 And for an inline tube arrangement, hc = 0.26*kb(12/do)((cp b)/kb) 1/3 ((do/12)(Gn Where, hc = Convection heat transfer coefficient, Btu/hr-ft2-F do = Tube outside diameter, in kb = Gas thermal conductivity, Btu/hr-ft-F cp = Gas heat capacity, Btu/lb-F mb = Gas dynamic viscosity, lb/hr-ft Gn = Mass velocity of gas, lb/hr-ft2 Convection Transfer, Fin Tubes You will notice that the heat transfer equations for the fin tubes are basically the same as for the bare tubes untill you reach the he factor, where a new concept is introduced to account for the fin or extended surface. The procedure presented herein are taken from the Escoa manual which can be downloaded in full from the internet. -Overall Heat Transfer Coefficient, Uo: Uo = 1/Rto 365 Where, Uo = Overall heat transfer coefficient, Btu/hr-ft2-F Rto = Total outside thermal resistance, hr-ft2-F/Btu And, Rto = Ro + Rwo + Rio Ro = Outside thermal resistance, hr-ft2-F/Btu Rwo = Tube wall thermal resistance, hr-ft2-F/Btu Rio = Inside thermal resistance, hr-ft2-F/Btu And the resistances are computed as, Ro = 1/he Rwo = (tw/12*kw)(Ao/Aw) Rio = ((1/hi)+Rfi)(Ao/Ai) Where, he = Effective outside heat transfer coefficient, Btu/hr-ft2-F hi = Inside film heat transfer coefficient, Btu/hr-ft2-F tw = Tubewall thickness, in kw = Tube wall thermal conductivity, Btu/hr-ft-F Ao = Total outside surface area, ft2/ft Inside film heat transfer coefficient, hi: The inside heat transfer coefficient calculation procedure is covered in detail, elsewhere in this course. 366 Effective outside heat transfer coefficient, he: he = ho(E*Afo+Apo)/Ao Where, ho = Average outside heat transfer coefficient, Btu/hr-ft2-F E = Fin efficiency Ao = Total outside surface area, ft2/ft Afo = Fin outside surface area, ft2/ft Apo = Outside tube surface area, ft2/ft Average outside heat transfer coefficient, ho: ho = 1/(1/(hc+hr)+Rfo) Where, hc = Outside heat transfer coefficient, Btu/hr-ft2-F hr = Outside radiation heat transfer coefficient, Btu/hr-ft2-F Rfo = Outside fouling resistance, hr-ft2-F/Btu Outside film heat transfer coefficient, hc: hc = j*Gn*cp(kb/(cp*mb))0.67 Where, j = Colburn heat transfer factor Gn = Mass velocity based on net free area, lb/hr-ft2 cp = Heat capacity, Btu/lb-F kb = Gas thermal conductivity, Btu/hr-ft-F 367 mb = Gas dynamic viscosity, lb/hr-ft Colburn heat transfer factor, j: j = C1*C3*C5(df/do)0.5((Tb+460)/(Ts+460))0.25 Where, C1 = Reynolds number correction C3 = Geometry correction C5 = Non-equilateral & row correction df = Outside diameter of fin, in do = Outside diameter of tube, in Tb = Average gas temperature, F Ts = Average fin temperature, F Reynolds number correction, C1: C1 = 0.25*Re-0.35 Where, Re = Reynolds number Geometry correction, C3: For segmented fin tubes arranged in, a staggered pattern, C3 = 0.55+0.45*e(-0.35*lf/Sf) an inline pattern, C3 = 0.35+0.50*e(-0.35*lf/Sf) For solid fin tubes arranged in, a staggered pattern, C3 = 0.35+0.65*e(-0.25*lf/Sf) 368 an inline pattern, C3 = 0.20+0.65*e(-0.25*lf/Sf) Where, lf = Fin height, in sf = Fin spacing, in Non-equilateral & row correction, C5: For fin tubes arranged in, a staggered pattern, C5 = 0.7+(0.70-0.8*e(-0.15*Nr^2))*e(-1.0*Pl/Pt) an inline pattern, C5 = 1.1-(0.75-1.5*e(-0.70*Nr))*e(-2.0*Pl/Pt) Where, Nr = Number of tube rows Pl = Longitudinal tube pitch, in Pt = Transverse tube pitch, in Mass Velocity, Gn: Gn = Wg/An Where, Wg = Mass gas flow, lb/hr An = Net free area, ft2 Net Free Area, An: An = Ad - Ac * Le * Nt 369 Where, Ad = Cross sectional area of box, ft2 Ac = Fin tube cross sectional area/ft, ft2/ft Le = Effective tube length, ft Nt = Number tubes wide And, Ad = Nt * Le * Pt / 12 Ac = (do + 2 * lf * tf * nf) / 12 tf = fin thickness, in nf = number of fins, fins/in Surface Area Calculations: For the prime tube, Apo = Pi * do (1- nf * tf) / 12 And for solid fins, Ao = Pi*do(1-nf* tf)/12+Pi*nf(2*lf(do+lf)+tf(do+2*lf))/12 And for segmented fins, Ao = Pi*do(1-nf* tf)/12+0.4*Pi*nf(do+0.2)/12+Pi*nf (do+0.2)((2*lf0.4)(wn+tf)+ws*tf)/(12*ws) And then, Afo = Ao - Apo Where, 370 ws = Width of fin segment, in Fin Efficiency, E: For segmented fins, E = x * (0.9 + 0.1 * x) And for solid fins, E = y * (0.45 * ln(df / do) * (y - 1) + 1) Where, y = x * (0.7 + 0.3 * x) And, x = tanh(m * B) / (m * B) Where, B = lf + (tf /2) For segmented fins, m = (ho (tf + ws) / (6 * kf * tf * ws))0.5 And for solid fins, m = (ho / (6 * kf * tf))0.5 Fin Tip Temperature, Ts: The average fin tip temperature is calculated as follows, Ts = Tg + (Tw - Tg) * 1/((e1.4142mB+e-1.4142mB)/2) Maximum Fin Tip Temperature, Tfm: The maximum fin tip temperature is calculated as follows, 371 Tsm = Twm gm - Twm) Where, Tsm = Maximum Fin Tip Temperature, F Tgm = Maximum Gas Temperature, F Twm = Maximum Tube Wall Temperature, F 372 Sample calculation: 373 374 375 Compressor(k-102) A gas compressor is a mechanical device that increases the pressure of a gas by reducing its volume. Compressors are similar to pumps: both increase the pressure on a fluid and both can transport the fluid through a pipe. As gases are compressible, the compressor also reduces the volume of a gas. Liquids are relatively incompressible; while some can be compressed, the main action of a pump is to pressurize and transport liquids. Types of compressors 376 The main types of gas compressors are illustrated and discussed below Centrifugal compressors Centrifugal compressors use a rotating disk or impeller in a shaped housing to force the gas to the rim of the impeller, increasing the velocity of the gas. A diffuser (divergent duct) section converts the velocity energy to pressure energy. They are primarily used for continuous, stationary service in industries such as oil refineries, chemical and petrochemical plants and natural gas processing plants. Their application can be from 100 horsepower (75 kW) to thousands of horsepower. With multiple staging, they can achieve extremely high output pressures greater than 10,000 psi (69 MPa) Axial-flow compressors Axial-flow compressors are dynamic rotating compressors that use arrays of fan-like airfoils to progressively compress the working fluid. They are used where there is a requirement for a high flow rate or a compact design.The arrays of airfoils are set in rows, usually as pairs: one rotating and one stationary. The rotating airfoils, also known as blades or rotors, accelerate the fluid. The stationary airfoils, also known 377 as stators or vanes, decelerate and redirect the flow direction of the fluid, preparing it for the rotor blades of the next stage. Axial compressors are almost always multi-staged, with the cross-sectional area of the gas passage diminishing along the compressor to maintain an optimum axial Mach number. Beyond about 5 stages or a 4:1 design pressure ratio, variable geometry is normally used to improve operation.Axial compressors can have high efficiencies; around 90% polytropic at their design conditions. However, they are relatively expensive, requiring a large number of components, tight tolerances and high quality materials. Axial-flow compressors can be found in medium to large gas turbine engines, in natural gas pumping stations, and within certain chemical plants. Reciprocating compressors Reciprocating compressors use pistons driven by a crankshaft. They can be either stationary or portable, can be single or multi-staged, and can be driven by electric motors or internal combustion engines. Small reciprocating compressors from 5 to 30 horsepower (hp) are commonly seen in automotive applications and are typically for intermittent duty. Larger reciprocating compressors well over 1,000 hp (750 kW) are commonly found in large industrial and petroleum applications. Discharge pressures can range from low pressure to very high pressure (>18000 psi or 180 MPa). In certain applications, such as air compression, multi-stage double-acting compressors are said to be the most efficient compressors available, and are typically larger, and more costly than comparable rotary units. Another type of reciprocating compressor is the swash plate compressor, which uses pistons which are 378 moved by a swash plate mounted on a shaft - see Axial Piston Pump. Household, home workshop, and smaller job site compressors are typically reciprocating compressors 1½ hp or less with an attached receiver tank. Rotary compressors There are many types of rotary compressor one of them is the rotary screw compressors. The rotary screw compressors use two meshed rotating positive-displacement helical screws to force the gas into a smaller space. These are usually used for continuous operation in commercial and industrial applications and may be either stationary or portable. Their application can be from 3 horsepower (2.2 kW) to over 1,200 horsepower (890 kW) and from low pressure to moderately high pressure (>1,200 psi or 8.3 MPa).Rotary screw compressors are commercially produced in Oil Flooded, Water Flooded and Dry type. Another type of rotary compressor is rotary vane compressor. Rotary vane compressors consist of a rotor with a number of blades inserted in radial slots in the rotor. The rotor is mounted offset in a larger housing which can be circular or a more complex shape. As the rotor turns, blades slide in and out of the slots keeping contact with the outer wall of the housing. Thus, a series of decreasing volumes is created by the rotating blades. Rotary Vane compressors are, with piston compressors one of the oldest of compressor technologies. With suitable port connections, the devices may be either a compressor or a vacuum pump. They can be either stationary or portable, can be single or multi-staged, and can be driven by electric motors or internal combustion engines. 379 Dry vane machines are used at relatively low pressures (e.g., 2 bar or 200 kPa; 29 psi) for bulk material movement while oil-injected machines have the necessary volumetric efficiency to achieve pressures up to about 13 bar (1,300 kPa; 190 psi) in a single stage. A rotary vane compressor is well suited to electric motor drive and is significantly quieter in operation than the equivalent piston compressor. Rotary vane compressors can have mechanical efficiencies of about 90% Theory used in Compressor calculation n P1 T1 n 1 P2 T 2 Where P1 : inlet pressure, psia P2 : outlet pressure, psia T1 : inlet temperature, R T2 : outlet temperature, R n : compression factor W nR (T 1 T 2 ) 1 n Where W : work done, Btu/lbmol R : Cp/Cv Hp=W*M Where 380 Hp : horse power, Hp M : molar flow rate, lbmol/s Ep n n 1 K K 1 Where Ep : efficiency of the compressor K MwC p MwC p 1.986 Where Cp: heat capacity, Btu/lb F0 Mw: molecular weight of the gas 381 382 Tank T-201A&B,V-105: Tanks are basically was made to hold, transport or store fluid and solid. Gases are stored at high pressures where this process requirement and to reduce the storage volume .for some gases the volume can be further reduced by liquefying the gas by pressure or refrigeration .cylindrical and spherical vessels are used. Liquids are usually stored in bulk in vertical cylindrical steel tanks; Fixed and floating-roof tanks are used. In a floating-roof tank a movable piston floats on the surface of the liquid and is sealed to the tank walls. Floating-roof tanks are used to eliminate evaporation losses and, for liquids, to obviate the need for inert gas blanketing to prevent an explosive mixture forming above the liquid, as would be the situation with a fixed-roof tank. Horizontal cylindrical tanks and rectangular tanks are used also used for storing liquids, usually for relatively small quantities. Storage of solid is usually more expensive than the movement of liquid and gases, which can easily 383 pumped down a pipeline. The design more flexible and moderate the international conditions. Design of storage tank In the design of the storage there are some main principles to be considered to make The design more flexible and more moderate the international conditions. In the case of this project the tanks which will be used is cylindrical in shape. This shape is the proper one for the liquid phase in our case. Also the top space in the tank for the vapor pressure of the component will be 12 % of the tank volume. The steps in the design will begin in finding the volume of the liquid part in the tank and then determining the height and diameter of this part. After that the total volume will be determined. Finally all the dimensions could be determined from this volume. Volume of the liquid= Total mass flow rate in* time hold-up Time hold-up: the time where the liquid is hold inside the tank Volume of cylinder = π R2 H … (1) Get the volume of the liquid (assume H=5D) To determine vapor pressure Antoine equation is used: Log10 P* = A- (B/C+T) … (2) T: the temperature in ˚C The values of A, B, and C is taken from table antoin equation constant 384 At this vapor pressure the top space in the tank can be determined. Total Volume = free volume + liquid V … (3) Diameter3 = (5*total volume)/П Height = 0.2diameter Area of the tank = total volume/ height … (4) Thickness t = (P r I / S E - 0.6P) + Cc …(5) Sample calculation(Tank T-201A&B): 385 Sample calculation(V-105): 386 THREE- PHASE SEPARATOR(V-201): Introduction:Horizontal three- phase separator used to separate water, gas and oils from the inlet . We do this design to calculate the diameter and length for the horizontal three- phase separator and determine the cost. Horizontal three- phase separator 387 Procedure design :- The diameter and length of the horizontal three-phase separator can be determined by the following steps: Step #1:Determine maximum allowable oil pad thickness Ho,max . Ho,max = [ ( 1.28 x 10-3 ) (to ) (γo – γw ) ( dm2) ] / µo Step # 2:Determine the ratio of Aw/A. Aw/A = ( 0.5)[ (Qw) (tw) / [ (Qo ) (to) + (Qw) (tw) ]] Step # 3 :From Fig.(11) in appendix (A) determine the ratio of Ho/D at Aw/A Step # 4 :Determine the maximum diameter of the vessel associated with the maximum oil pad height. Dmax = [ (Ho,max ) ] / [ (Ho) (D) ] Step # 5 :determine the gas and oil densities. 388 ρg = [ (2.7) (γg) (P) ] / [ (T) (Z) ] ρl = [ (ρw) (γl) ] Step # 6 :Determine the gas capacity constraint. DL = (420) [ (T) (Z) (Qg) / (P) ] [(ρg) (Cd) /(dm) (ρo - ρg) ]0.5 Step # 7 :Check the liquid capacity (retention time) constraint. D2L = (1.429) [ (Qo) (to) + (Qw) (tw) ] Step # 8 :Assume diameter smaller than determined maximum diameter and determine the corresponding effective length from equation used in step # 7 then determine seam-to-seam length by Ls= (4L) / 3 Step # 9 :Select a reasonable diameter and length by recommended with slenderness ratio in the rang of 3 to 5 , where slenderness ratio (SR): SR=L/(D/12) 389 Step # 10:Calculate thickness (t) of three phase separator by using design equation for cylindrical shells: t = (P ri) / (S Ej - 0.6 P) + Cc Step # 11:Calculate the cost from internet. do = di + 2t Volume of cylinder using (do) = Л (do/2)2 L Volume of cylinder using (di) = Л (di/2)2 L Volume of metal = Volume of cylinder using (do) - Volume of cylinder using (di) 390 Sample calculation(v-201): 391 Abdulaziz Alshomar 208113942 Section #1 Reactor (R-101) Flash Tank (V-204) Cooler Desgin (E-209) Cooler Desgin (E-211) Heater Desgin (E-212) Reactor The reactor is the heart of a chemical process. It is the only place in the process where raw materials are converted into products, and reactor design is a vital step in the overall design of the process. The design of an industrial chemical reactor must satisfy the following requirements: 1. The chemical factors: The kinetics of the reaction. The design must provide sufficient residence time for the desired reaction to proceed to the required degree of conversion. 2. The mass transfer factors: With heterogeneous reactions the reaction rate may be controlled by the rates of diffusion of the reacting species, rather than the chemical kinetics. 3. The heat transfer factors: The removal, or addition, of the heat of reaction. 392 4. The safety factors: The confinement of hazardous reactants and products, and the control of the reaction and the process conditions. The need to satisfy these interrelated and often contradictory factors makes reactor design a complex and difficult task. However, in many instances one of the factors will predominate and will determine the choice of reactor type and the design method. The following characteristics are normally used to classify reactor designs: 1. Mode of operation: batch or continuous. 2. Phases present: homogeneous or heterogeneous. 3. Reactor geometry: flow pattern and manner of contacting the phases: i. Stirred tank reactor; ii. Tubular reactor; iii. Packed bed, fixed and moving; iv. Fluidized bed. Fluidized-Bed Reactors The essential feature of a fluidized-bed reactor is that the solids are held in suspension by the upward flow of the reacting fluid; this promotes high mass and heat transfer rates and good mixing. Heat transfer coefficients in the order of 200W/m28C to jackets and internal coils are typically obtained. The solids may be a catalyst, a reactant in fluidized combustion processes, or an inert powder added to promote heat transfer. 393 Though the principal advantage of a fluidized bed over a fixed bed is the higher heat transfer rate, fluidized beds are also useful where it is necessary to transport large quantities of solids as part of the reaction processes, such as where catalysts are transferred to another vessel for regeneration. Fluidization can be used only with relatively small-sized particles, <300 mm with gases. A great deal of research and development work has been done on fluidized-bed reactors in recent years, but the design and scale-up of large diameter reactors is still an uncertain process and design methods are largely empirical. The principles of fluidization processes are described in Richardson et al. (2002). The design of fluidized bed reactors is discussed by Rase (1977). Reactor R-101: HYSYS data FA0 (Kgmol/hr) T0 (C) T (C) PT0 (psia) PT (psia) X yA0 yB0 Table (3-1) Hysys reactor worksheet 394 126.07 451 548 40 35 0.997 0.2534 0.7056 C6H5NO2 + 3H2 - C6H5NH2 + 2H2O The initial conversions and the initial reaction rates at different reaction conditions were obtained by extrapolating the conversion curves to time t=0 min. It could be shown that hydrogenation of nitrobenzene on the fresh catalyst follows a Langmuir Hinshelwood mechanism considering the surface reaction of the adsorbed nitrobenzene molecule and one adsorbed hydrogen atom as the rate determining step (Amon et al., 1999a): . Parameter Value of estimation Standard deviation k0 (Kmol/Kgcat.s) 1.86x10-4 1.27x10-5 EA (KJ/mol) 10 0.9 KNB (Kpa-1) 1.51x10-2 2.98x10-3 KH2 (Kpa-0.5) 0.14 0.02 Table ( 3-2 ) Kinetic constants of the initial reaction rate rA = kKNBKH2PNBPH20.5/(1+ KNBPNB + KH2PH20.5)2 PA0 y A0 PT 0 10.136 psia y A0 = 0.534*(1+2-3-1) = -0.534 A y A0 =1 y A0 B y B0 0.7056 / 0.2534 2.78453 y A0 PA PA0 A x T0 P = PNB 1 x T P0 0.04682907 psia = 0.3227 Kpa 395 PB PA0 B x T0 P = P H2 1 x T P0 27.9 psia = 192.263 Kpa Kinetic Data: k = 1.642x10-7 Kmol/Kgcat.s -rA = kKNBKH2PNBPH20.5/(1+ KNBPNB + KH2PH20.5)2 = (1.642x10-7*1.51x10-2*0.14*0.3227*192.2630.5) / (1+ 1.51x102* 0.3227 + 0.14*192.2630.5)2 = 1.79x10-10 Kmol/Kgcat.s = 1.79x10-7 mol/Kgcat.s = 6.45X10-4 mol/Kgcat.hr dx rA dW FA0 W FA0 ( x) 194827 Kg rA Wcopper = 15% of the total weight = 29224 Kg Wsilica = 1548.211376 – 29224 = 165603 Kg ( Bulk ) 100 lb / ft 3 = 45.359237 Kg/ft3 = 0.3 V (column) W 3 6136 ft (1 ) * V D = 173.75 m3 1/ 3 3.81 m L 6D 22.86 m 396 Equipment Name Reactor Objective Convert nitrobenzene to aniline Equipment Number R-101 Designer Abdulaziz Alshomer Type Fluidized bed vapor catalytic reactor Material of Construction Carbon steel Table (3-3) reactor 101 information C6H5NO2 + S ↔ C6H5NO2.S -rNB = kNB(PNBCv - CNB.s/KNB) -rNB/kNB = 0 CNB.s = KNB PNBCv 0.5H2 + S ↔ H.S -rH2 = kH2(PH20.5Cv – CH.s/KH2) -rH2/kH2 = 0 CH.s = KH2PH20.5Cv C6H5NO2.S + H.S C6H5NH2 + H2O + 2S -ra = K CNB.s CH.s Ct = CNB.s + CH.s + Cv Ct = KNBPNBCv + KH2PH20.5Cv+ Cv Cv = Ct / (1 + KNB PNB + KH2 PH20.5 ) Surface Reaction rate limiting -ra = rs = KsCt KNB KH2 PNB PH20.5 / (1 + KNB PNB + KH2 PH20.5 )2 397 Let k = Ks Ct -rA = kKNBKH2PNBPH20.5/(1+ KNBPNB + KH2PH20.5)2 GAS-LIQUID SEPARATORS The separation of liquid droplets and mists from gas or vapor streams is analogous to the separation of solid particles and, with the possible exception of filtration, the same techniques and equipment can be used. Where the carryover of some fine droplets can be tolerated, it is often sufficient to rely on gravity settling in a vertical or horizontal separating vessel (knockout pot). Knitted mesh demisting pads are frequently used to improve the performance of separating vessels where the droplets are likely to be small, down to 1 mm, and where high separating efficiencies are required. Proprietary demister pads are available in a wide range of materials, metals and plastics; thicknesses; and pad densities. For liquid separators, stainless steel pads around 100mm thick and with a nominal density of 150 kg/m3 would generally be used. Use of a demister pad allows a smaller vessel to be used. Separating efficiencies above 99% can be obtained with low pressure drop. The design and specification of demister pads for gas-liquid separators is discussed by Pryce Bailey and Davies (1973). The design methods for horizontal separators in following sections are based on a procedure given by Gerunda (1981). Cyclone separators are also frequently used for gas-liquid separation. They can be designed using the same methods for gas-solids cyclones. 398 The inlet velocity should be kept below 30 m/s to avoid pickup of liquid from the cyclone surfaces. The equation below can be used to estimate the settling velocity of the liquid droplets, for the design of separating vessels: If a demister pad is not used, the value of ut obtained from equation 10.10 should be multiplied by a factor of 0.15 to provide a margin of safety and to allow for flow surges. Horizontal Separators Figure (3-1) Horizontal liquid-vapor separator The layout of a typical horizontal separator is shown in Figure 3-1. 399 A horizontal separator would be selected when a long liquid holdup time is required. In the design of a horizontal separator, the vessel diameter cannot be determined independently of its length, unlike for a vertical separator. The diameter and length and the liquid level must be chosen to give sufficient vapor residence time for the liquid droplets to settle out and for the required liquid holdup time to be met. The most economical length to diameter ratio will depend on the operating pressure.As a general guide, the following values can be used: For preliminary designs, set the liquid height at half the vessel diameter, where fv is the fraction of the total cross-sectional area occupied by the vapor. Flash Tank (V-204) vapor flow 1362.463 Kg/h liquid flow 1362.374 Kg/h flow rate 2724.837 Kg/h Temp. 40 C 400 liquid density 1004.23 kg/m3 vapor density 0.302391 kg/m3 Ut 4.033341 m/s Us 0.605001 m/s vapor volumtric flow rate 1.251566 m3/s cross sectional area 0.393Dv^2 Vapor velocity 3.184647 Dv^-2 Actual residence time 0.94202 Dv^3 hv/us 0.826445 Dv Dv 0.936649 m standard dv 1.55 m liquid volumetric flow rate 0.000377 m3/s Liquid cross sectional area 0.943459 m^2 Length 4.65 m Hold Volume 4.387083 m^3 risidence time 11641.67 s 194.0278 min 401 Cooler Design (E-209):Fluid properties: Shell Side ( gas stream ) shell side (water stream) Flow rate 7.00E+04 Kg/h Inlet Temperature ,T1 90 o Outlet Temperature ,T2 93.92 o Heat Capacity of inlet stream, Cpin 4.1943 KJ/kg°C Heat Capacity of outlet stream, Cpout 4.193 KJ/kgoC Average Heat Capacity, Cpavg 4.19365 KJ/kgoC Mass Density of inlet stream , ρin 956.22 kg/m3 Mass Density of outlet stream , ρout 953.05 kg/m3 Average Mass Density, ρavg 954.635 kg/m3 Average Viscosity of stream, µavg 0.305 mNs/m2 Average Thermal conductivity, Kf 0.677 W/moC Calculation of Heat load: Qh = mh *Cp * (T1-T2) where: Qh = heat load in the hot side (KW) mh = mass flowrate of hot fluid (Kg/h) Cp = heat capacity of hot fluid (kJ/kgoC) T1 = inlet temperature (oC) T2 =outlet temperatue (oC) Heat load = 319.6493222 KW > 1000 KW 402 C C Tube side ( gas stream) Flowrate 1.15E+04 Kg/hr Average Heat Capacity, Cp 1.82285 kJ/kgoC Average Mass Density, ρ 1009 kg/m3 Average Viscosity of stream, µ 2.488 mNs/m2 Average Thermal conductivity of stream, Kf 0.146 W/moC inlet Temperature , t1 46.816 o outlet Temperature, t2 40 o C C Log mean Temperature calculation: ∆Tlm =(T1-t2)-(T2-t1) / ln((T1-t2)/(T2-t1)) where: ∆Tlm = log mean temperature differace T1 = inlet shell side fluid temoerature (oC) T2 = outlet shell side fluid temerature (oC) t1 = inlet tube side temoerature (oC) t2 = outlet tube side temerature (oC) ∆Tlm = 1627.484556 oC Temperature correction Fctor calculation: Using two shell pass and four or multiple of four tube passes R = (T1-T2) / (t2-t1) R = 0.5751174 S = (t2-t1) / (T1-t1) S = 0.1578362 Ft = 0.99 From figure 12.20 403 ∆Tm = F t * ∆Tlm where: ∆Tm = true temperature difference Ft = the temperature correction factor ∆Tlm = log mean temperature differace ∆Tm = 1611.20971 oC Assuming U = 10 W/m2 oC ( From table 12.1) Tube outside diameter(do) = 38 mm 1.496063 A= Q / U * ∆Tm where: A = provisional area (m2) Q = heat load (kW) U = overall heat transfer coefficient (W/m2 oC) Provisional area = 19.839089 m2 Tube inner diameter(di) = 26 mm 1.023622 Tube length(L) = 4.88 m 192.1256 Choosing Take tube materail is cupro- nickel Area of one tube = L* do *π 404 Area of one tube = 0.5825769 m2 Number of tubes = provisinal area / area of one tube Number of tubes = 34 Using 1.25 triangular pitch K1 = 0.175 Use table 12.4 n1 = 2.285 Db = (do)*( Nt / K1)^ (1/n1) where; Db =bundle diameter (mm) do = outer diameter (mm) Nt : number of tubes K1 & n1 are constant Bundle diameter (Db) = 382 mm 0.3815849 m Using split ring floating head type Bundle diametrical clearance = 67 mm Ds = Db + Bundle diametrical clearance Shell diameter(Ds) = 449 mm 0.4485849 m Shell length(m)= 5.3285849 m Tube side coefficient 405 Method 1 Mean Tube temperature=(t1+t2)/2 = 43.408 oC Tube cross-sectional area = p/4 *di2= 530.92916 mm2 Tube per pass=(Nt/4) = 9 Total flow area = tubes per pass * cross sectional area Total flow area = 0.0045201 m2 mass velocity = mass flow rate / total flow area Tube mass velocity = 2.55E+06 kg/s.m2 linear velosity (ut ) = mass velosity / density Tube linear velocity (ut) = 2.52E+03 m/s hi = (4200* (1.35+0.02t)* ut0.8)/(di0.2) where: hi =inside coefficient (W/m2 oC) t =mean temperature (oC) ut =linear velocity (m/s) di =tube inside diameter (mm) hi = 2557872 W/m2 oC Method 2 Renolds number (Re) = ρ* ut *di/ µ Re = 2.66E+07 Prandtl number (Pr) = Cp µ / kf Pr = 3.11E+01 406 L/di = 1.88E+02 From Figuer 12.23 Tube -side heat transfer factor: jh = 2.00E-03 where jh is the heat transfer factor assume that the viscisity of the fluid is the same as at the wall (µ/µwall) = 1 (hi di / kf) = jh Re Pr0.33 * (µ/µwall)0.14 hi = 9.28E+05 W/m2 oC Using hi from method 1 as it has low value hi = 927661 W/m2 oC Shell-side coefficient Choose baffle spacing (Lb)= (Ds/5) = 89.71698 mm Tube pitch (pt) =1.25 * do= 47.5 mm Cross flow area (As) =((pt - do)* Ds* Lb)/pt Cross flow area As = 0.008049 m2 Mass velocity (Gs) = mass flow rate / cross flow area Mass velocity (Gs) = 2415.718 kg/s.m2 Equivalent diameter de =(1.1/do)(pt2-0.917do2) de = 2.70E+01 mm Mean Shell side temperature =(T1+T2)/2 Mean Shell side temperature = 91.96 oC Renolds number (Re) = (Gs de)/ m 407 Re = 2.E+05 Prandtl number (Pr) = Cp µ / kf Pr = 1.89 Choose 25% baffle cut jh = 1.50E-03 Without the viscosity correction term, (µ/µw) = 1 hs = kf * jh *Re *Pr^(1/3) / de hs = 9950.843 W/m2 oC Overall Heat Transfer Coefficient Thermal conductivity of cupro-nickel alloy= 50 W/moC Taking fouling coefficients from table 12.2 Outside coefficient(fouling factor)=hod 5000 W/m2 oC Inside coefficient(fouling factor) =hid 5000 W/m2 oC /Uo =(1/ho) + (1/hod) + ( do(ln(do/di))/2kw) + (do/di) * (1/hid) + (do/di) * (1/hi) 1/Uo = 0.0007386 Uo = 1353.9435 W/m2 oC Close to initial value assumed Pressure Drop Tube side Re = 2.66E+07 jf = 2.00E-03 408 where jf is the friction factor ΔPt = Np [ 8jf (L/di)(µ/µw)^(-m) +2.5 ] ρut²/2 where , ΔPt = tube side pressur drop (N/m²)(pa) Np = number of tube side passes ut = tube side velosity (m/s) L = length of one tube Neglecting the viscosity correction term, (µ/µw) = 1 ∆pt= 2.236E+10 N/m2 22361599 kPa 3243490.8 psi Shell side (Acceptable) Linear velocity =Gs /ρ= 2.5305147 m/s Re = 2.E+05 jf = 1.50E-03 from fig 12.29 ΔPs = 8jf (Ds/de)(L/Lb)( ρus^2/2)(µ/µw)^(-0.14) where : L : tube length Lb : baffle spacing ∆Ps = 331.68331 N/m2 0.3316833 kPa 409 0.0481098 psi Thickness Calculations: t =(Pri/(SEJ-0.6P))+Cc where: t = shell thichness (in) P = Maximum allowable internal pressure (psig) ri = internal raduis of shell before allowance corrosion is added (in) EJ = efficincy of joients S = working stress (psi) Cc = allowance for corrosin (in) ri = 8.830416549 in P = 587.8 psi S = 13706.66 psi (for carbon steel) EJ = 0.85 Cc = 0.125 in t = 0.584 in t = 14.8 mm Cost Calculations: Heat transfer area = 213.55 ft2 Cost = $50,100 410 Cooler Design (E-211):Fluid properties: Shell Side ( gas stream ) shell side (water stream) Flow rate 5.00E+03 Kg/h Inlet Temperature ,T1 25 o C Outlet Temperature ,T2 26.19 o C Heat Capacity of inlet stream, Cpin 4.2025 KJ/kg°C Heat Capacity of outlet stream, Cpout 4.2022 KJ/kgoC Average Heat Capacity, Cpavg 4.20235 KJ/kgoC Mass Density of inlet stream , ρin 1007.3 kg/m3 Mass Density of outlet stream , ρout 1006.5 kg/m3 Average Mass Density, ρavg 1006.9 kg/m3 Average Viscosity of stream, µavg 0.879 mNs/m2 Average Thermal conductivity, Kf 0.612 W/moC Calculation of Heat load: Qh = mh *Cp * (T1-T2) where: Qh = heat load in the hot side (KW) mh = mass flowrate of hot fluid (Kg/h) Cp = heat capacity of hot fluid (kJ/kgoC) T1 = inlet temperature (oC) T2 =outlet temperatue (oC) Heat load = 6.945550694 KW > 1000 KW 411 The type of the heat exchanger is shell and tube heat exchanger Tube side ( gas stream) Flowrate 1.74E+02 Kg/hr Average Heat Capacity, Cp 3.17025 kJ/kgoC Average Mass Density, ρ 498.44266 kg/m3 Average Viscosity of stream, µ 0.333 mNs/m2 Average Thermal conductivity of stream, Kf 0.330 W/moC inlet Temperature , t1 139 o C outlet Temperature, t2 40 o C Log mean Temperature calculation: ∆Tlm =(T1-t2)-(T2-t1) / ln((T1-t2)/(T2-t1)) where: ∆Tlm = log mean temperature differace T1 = inlet shell side fluid temoerature (oC) T2 = outlet shell side fluid temerature (oC) t1 = inlet tube side temoerature (oC) t2 = outlet tube side temerature (oC) ∆Tlm = 63.34582152 oC Temperature correction Fctor calculation: R = (T1-T2) / (t2-t1) R = 0.0120202 S = (t2-t1) / (T1-t1) 412 S = 0.8684211 Ft = 0.98 ∆Tm = Ft * ∆Tlm where: ∆Tm = true temperature difference Ft = the temperature correction factor ∆Tlm = log mean temperature differace ∆Tm = 62.07890509 oC Assuming U = 10 W/m2 oC ( From table 12.1) A= Q / U * ∆Tm where: A = provisional area (m2) Q = heat load (kW) U = overall heat transfer coefficient (W/m2 oC) Provisional area = 11.188262 m2 Choosing Tube outside diameter(do) = 38 mm 1.496063 Tube inner diameter(di) = 26 mm 1.023622 Tube length(L) = 4.88 m 192.1256 Take tube materail is cupro- nickel Area of one tube = L* do *π Area of one tube = 0.5825769 m2 413 Number of tubes = provisinal area / area of one tube Number of tubes = 19 Using 1.25 triangular pitch K1 = 0.175 Use table 12.4 n1 = 2.285 Db = (do)*( Nt / K1)^ (1/n1) where; Db =bundle diameter (mm) do = outer diameter (mm) Nt : number of tubes K1 & n1 are constant Bundle diameter (Db) = 297 mm 0.2969786 m Bundle diametrical clearance = 67 mm from fig 12.10 Ds = Db + Bundle diametrical clearance Shell diameter(Ds) = 364 mm 0.3639786 m Shell length(m)= 5.2439786 m Tube side coefficient Method 1 Mean Tube temperature=(t1+t2)/2 = 89.5 oC Tube cross-sectional area = p/4 *di2= 530.92916 mm2 Tube per pass=(Nt/4) = 5 414 Total flow area = tubes per pass * cross sectional area Total flow area = 0.0025491 m2 mass velocity = mass flow rate / total flow area Tube mass velocity = 6.83E+04 kg/s.m2 linear velosity (ut ) = mass velosity / density Tube linear velocity (ut) = 1.37E+02 m/s hi = (4200* (1.35+0.02t)* ut0.8)/(di0.2) where: hi =inside coefficient (W/m2 oC) t =mean temperature (oC) ut =linear velocity (m/s) di =tube inside diameter (mm) hi = 351902.83 W/m2 oC Method 2 Renolds number (Re) = ρ* ut *di/ µ Re = 5.34E+06 Prandtl number (Pr) = Cp µ / kf Pr = 3.20E+00 L/di = 1.88E+02 From Figuer 12.23 Tube -side heat transfer factor: jh = 2.00E-03 415 where jh is the heat transfer factor assume that the viscisity of the fluid is the same as at the wall (µ/µwall) = 1 (hi di / kf) = jh Re Pr0.33 * (µ/µwall)0.14 hi = 1.99E+05 W/m2 oC Using hi from method 1 as it has low value hi = 198667 W/m2 oC Shell-side coefficient Choose baffle spacing (Lb)= (Ds/5) = 72.79571 mm Tube pitch (pt) =1.25 * do= 47.5 mm Cross flow area (As) = ((pt - do)* Ds* Lb)/pt Cross flow area As = 0.005299 m2 Mass velocity (Gs) = mass flow rate / cross flow area Mass velocity (Gs) = 262.0933 kg/s.m2 Equivalent diameter de =(1.1/do)(pt2-0.917do2) de = 2.70E+01 mm Mean Shell side temperature =(T1+T2)/2 Mean Shell side temperature = 25.595 oC Renolds number (Re) = (Gs de)/ m Re = 8.E+03 Prandtl number (Pr) = Cp µ / kf Pr = 6.03 416 Choose 25% baffle cut jh = 1.50E-03 Without the viscosity correction term, (µ/µw) = 1 hs = kf * jh *Re *Pr^(1/3) / de hs = 498.4646 W/m2 oC Overall Heat Transfer Coefficient Thermal conductivity of cupro-nickel alloy= 50 W/moC Taking fouling coefficients from table 12.2 Outside coefficient(fouling factor)=hod 5000 W/m2 oC Inside coefficient(fouling factor) =hid 5000 W/m2 oC 1/Uo =(1/ho) + (1/hod) + ( do(ln(do/di))/2kw) + (do/di) * (1/hid) + (do/di) * (1/hi) 1/Uo = 0.00265 Uo = 377.35409 W/m2 oC Close to initial value assumed Pressure Drop Tube side Re = 5.34E+06 jf = 2.00E-03 where jf is the friction factor ΔPt = Np [ 8jf (L/di)(µ/µw)^(-m) +2.5 ] ρut²/2 where 417 ΔPt = tube side pressur drop (N/m²)(pa) Np = number of tube side passes ut = tube side velosity (m/s) L = length of one tube Neglecting the viscosity correction term, (µ/µw) = 1 ∆pt= 114515262 N/m2 114515.26 kPa 16610.136 psi Shell side (Acceptable) Linear velocity =Gs /ρ= 0.2602973 m/s Re = 8.E+03 jf = 1.50E-03 from fig 12.29 ΔPs = 8jf (Ds/de)(L/Lb)( ρus^2/2)(µ/µw)^(-0.14) where L : tube length Lb : baffle spacing ∆Ps = 3.701639 N/m2 0.0037016 kPa 0.0005369 psi Thickness Calculations: (Acceptable) t =(Pri/(SEJ-0.6P))+Cc where: 418 t = shell thichness (in) P = Maximum allowable internal pressure (psig) ri = internal raduis of shell before allowance corrosion is added (in) EJ = efficincy of joients S = working stress (psi) Cc = allowance for corrosin (in) ri = 7.164935966 in P = 587.8 psi S = 13706.66 psi (for carbon steel) EJ = 0.85 Cc = 0.125 in t = 0.498 in t = 12.6 mm Cost Calculations: Heat transfer area = 120.43 ft2 Cost = $50,100 ( from www.matche.com) 419 Heater Design (E-212):Fluid properties: Shell Side ( steam stream ) Flow rate 8.00E+04 Kg/h Inlet Temperature ,T1 110 o Outlet Temperature ,T2 75.02 o Heat Capacity of inlet stream, Cpin 2.2022 KJ/kg°C Heat Capacity of outlet stream, Cpout 2.2368 KJ/kgoC Average Heat Capacity, Cpavg 2.2195 KJ/kgoC Mass Density of inlet stream , ρin 0.8101 kg/m3 Mass Density of outlet stream , ρout 0.27327 kg/m3 Average Mass Density, ρavg 0.541685 kg/m3 Average Viscosity of stream, µavg 0.012 mNs/m2 Average Thermal conductivity, Kf 0.025 W/moC Calculation of Heat load: Qh = mh *Cp * (T1-T2) where: Qh = heat load in the hot side (KW) mh = mass flowrate of hot fluid (Kg/h) Cp = heat capacity of hot fluid (kJ/kgoC) T1 = inlet temperature (oC) T2 =outlet temperatue (oC) Heat load = 1725.291333 KW > 1000 KW 420 C C The type of the heat exchanger is shell and tube heat exchanger Tube side ( gas stream) Flowrate 1.17E+04 Kg/hr Average Heat Capacity, Cp 1.8554 kJ/kgoC Average Mass Density, ρ 460.2192 kg/m3 Average Viscosity of stream, µ 0.467 mNs/m2 Average Thermal conductivity of stream, Kf 0.122 W/moC inlet Temperature , t1 150.41 o C outlet Temperature, t2 155 o C Log mean Temperature calculation: ∆Tlm =(T1-t2)-(T2-t1) / ln((T1-t2)/(T2-t1)) where: ∆Tlm = log mean temperature differace T1 = inlet shell side fluid temoerature (oC) T2 = outlet shell side fluid temerature (oC) t1 = inlet tube side temoerature (oC) t2 = outlet tube side temerature (oC) ∆Tlm = 58.89396204 oC Temperature correction Fctor calculation: R = (T1-T2) / (t2-t1) R = 7.620915 S = (t2-t1) / (T1-t1) 421 S = 0.1135857 Ft = 0.97 ∆Tm = Ft * ∆Tlm where: ∆Tm = true temperature difference Ft = the temperature correction factor ∆Tlm = log mean temperature differace ∆Tm = 57.12714318 oC Assuming U = 850 W/m2 oC ( From table 12.1) A= Q / U * ∆Tm where: A = provisional area (m2) Q = heat load (kW) U = overall heat transfer coefficient (W/m2 oC) Provisional area = 35.530475 m2 Choosing Tube outside diameter(do) = 50 mm 1.968504 in Tube inner diameter(di) = 46 mm 1.811024 in Tube length(L) = 4.88 m 192.1256 in Take tube materail is cupro- nickel Area of one tube = L* do *π Area of one tube = 0.7665486 m2 422 Number of tubes = provisinal area / area of one tube Number of tubes = 46 Using 1.25 triangular pitch K1 = 0.175 Use table 12.4 n1 = 2.285 Db = (do)*( Nt / K1)^ (1/n1) where; Db =bundle diameter (mm) do = outer diameter (mm) Nt : number of tubes K1 & n1 are constant Bundle diameter (Db) = 575 mm 0.5746112 m Using split ring floating head type Bundle diametrical clearance = 67 Mm Ds = Db + Bundle diametrical clearance Shell diameter(Ds) = 642 mm 0.6416112 m Shell length(m)= 5.5216112 m Tube side coefficient Method 1 Mean Tube temperature=(t1+t2)/2 = 152.705 oC 423 Tube cross-sectional area = p/4 *di2= 1661.9025 mm2 Tube per pass=(Nt/4) = 12 Total flow area = tubes per pass * cross sectional area Total flow area = 0.0192578 m2 mass velocity = mass flow rate / total flow area Tube mass velocity = 6.09E+05 kg/s.m2 linear velosity (ut ) = mass velosity / density Tube linear velocity (ut) = 1.32E+03 m/s hi = (4200* (1.35+0.02t)* ut0.8)/(di0.2) where: hi =inside coefficient (W/m2 oC) t =mean temperature (oC) ut =linear velocity (m/s) di =tube inside diameter (mm) hi = 2703375.7 W/m2 oC Method 2 Renolds number (Re) = ρ* ut *di/ µ Re = 6.00E+07 Prandtl number (Pr) = Cp µ / kf Pr = 7.11E+00 L/di = 1.06E+02 From Figuer 12.23 Tube -side heat transfer factor: 424 jh = 2.00E-03 where jh is the heat transfer factor assume that the viscisity of the fluid is the same as at the wall (µ/µwall) = 1 (hi di / kf) = jh Re Pr0.33 * (µ/µwall)0.14 hi = 6.07E+05 W/m2 oC Using hi from method 1 as it has low value hi = 607083 W/m2 oC Shell-side coefficient Choose baffle spacing (Lb)= (Ds/5) = 128.3222 Mm Tube pitch (pt) =1.25 * do= 62.5 Mm Cross flow area (As) =((pt - do)* Ds* Lb)/pt Cross flow area As = 0.016467 m2 Mass velocity (Gs) = mass flow rate / cross flow area Mass velocity (Gs) = 1349.534 kg/s.m2 Equivalent diameter de =(1.1/do)(pt2-0.917do2) de = 3.55E+01 Mm Mean Shell side temperature =(T1+T2)/2 Mean Shell side temperature = 92.51 oC Renolds number (Re) = (Gs de)/ m Re = 4.E+06 Prandtl number (Pr) = Cp µ / kf 425 Pr = 1.09 Choose 25% baffle cut jh = 1.50E-03 Without the viscosity correction term, (µ/µw) = 1 hs = kf * jh *Re *Pr^(1/3) / de hs = 4238.841 W/m2 oC Overall Heat Transfer Coefficient Thermal conductivity of cupro-nickel alloy= 50 W/moC Taking fouling coefficients from table 12.2 Outside coefficient(fouling factor)=hod 5000 W/m2 oC Inside coefficient(fouling factor) =hid 5000 W/m2 oC 1/Uo =(1/ho) + (1/hod) + ( do(ln(do/di))/2kw) + (do/di) * (1/hid) + (do/di) * (1/hi) 1/Uo = 0.0006968 Uo = 1435.1606 W/m2 oC Close to initial value assumed Pressure Drop Tube side Re = 6.00E+07 jf = 2.00E-03 where jf is the friction factor ΔPt = Np [ 8jf (L/di)(µ/µw)^(-m) +2.5 ] ρut²/2 426 where ΔPt = tube side pressur drop (N/m²)(pa) Np = number of tube side passes ut = tube side velosity (m/s) L = length of one tube ∆pt= 4.774E+09 N/m2 4773795.8 kPa 692426.46 psi Shell side (Acceptable) Linear velocity =Gs /ρ= 2491.3622 m/s Re = 4.E+06 jf = 1.50E-03 from fig 12.29 ΔPs = 8jf (Ds/de)(L/Lb)( ρus^2/2)(µ/µw)^(-0.14) where L : tube length Lb : baffle spacing ∆Ps = 138644.51 N/m2 138.64451 kPa 20.11002 psi Thickness Calculations: (Acceptable) 427 t =(Pri/(SEJ-0.6P))+Cc where: t = shell thichness (in) P = Maximum allowable internal pressure (psig) ri = internal raduis of shell before allowance corrosion is added (in) EJ = efficincy of joients S = working stress (psi) Cc = allowance for corrosin (in) ri = 12.63014778 in P = 587.8 psi S = 13706.66 psi (for carbon steel) EJ = 0.85 Cc = 0.125 in t = 0.782 in t = 19.9 mm Cost Calculations: Heat transfer area = 382.45 ft2 Cost = $50,100 ( from www.matche.com) 428 Cost: Probable Variation of Key Parameters over Plant Life Lower Limit Upper Limit Base Value FCIL -20% 30% $ 22,900,000 Price of Product -10% 10% $ 82,333,862 Working Capital -50% 10% $ 13,600,000 Income Tax Rate* -20% 20% 0% Interest Rate* -10% 20% 5% Raw Material Price -10% 15% $ 112,982,285 Salvage Value -80% 20% 0 * Please note that variations for percentages are a percent of a percent. For example, a 10% variance on a 12% interst rate would imply a 1.2% uncertainty Net Present Value Data Low NPV -172.9 High NPV 186.4 Bins Upper Value # points/bin Cumulative 0 -172.9 0 0 1 -137.0 5 5 2 -101.0 22 27 3 -65.1 74 101 4 -29.2 156 257 5 6.7 232 489 6 42.7 235 724 7 78.6 156 880 8 114.5 99 979 9 150.5 19 998 10 186.4 2 1000 429 Cumulative Number of Data Points 1000 750 500 250 0 -200 -150 -100 -50 0 50 100 150 Net Present Value (millions of dollars) Discounted Cash Flow Rate of Return Data Low DCFROR 0.00 High DCFROR 0.27 Bins Upper #/bin Cumulative 0 0.00 0 0 1 0.03 63 63 2 0.05 68 131 3 0.08 126 257 4 0.11 140 397 5 0.13 169 566 6 0.16 159 725 7 0.19 108 833 8 0.21 68 901 9 0.24 29 930 10 0.27 3 933 430 200 250 Hazop: What is HAZOP? Systematic technique to identify potential hazard and Operating problems • A formal systematic rigorous examination to the process and engineering facets of a production facility • A qualitative technique based on “guide-words” to help provoke thoughts about the way deviations from the intended operating conditions can lead to hazardous situations or operability problems • hazop is basically for safety - Hazards are the main concern - Operability problems degrade plant performance (product quality, production rate, profit) • Considerable engineering insight is required - engineers working independently could develop different results • Objective of HAZOP For identifying cause and the consequences of operations of equipment and associated operator interfaces in the context of the complete system. • How and Why HAZOP is Used HAZOP identifies potential hazards , failures and operability problems. • Its use is recommended as a principal method by professional institutions and legislators on the basis of proven capabilities for years. 431 • It is most effective as a team effort consists of plant and prices designers, operating personnel, control and instrumentation engineer. • It encourages creativity in design concept evaluation. • Necessary changes to a system for eliminating or reducing the probability of operating deviations are suggested by the analytical procedure. • HAZOP provides a necessary management tool and bonus in so far that it demonstrates to insurers and inspectors evidence of comprehensive thoroughness. Guide Words No forward flow when there should be NONE MORE More of any parameter than there should be, more flow, more pressure, more temperature. LESS As above, but "less of" in each instance PART System composition difference from what it should be. MORE THAN More "components" present than there should be for example, extra phase, impurities. OTHER What needs to happen other than normal operation, e.g. start up, shutdown, maintenance NONE e.g., NO FLOW caused by blockage; pump failure; valve closed or jammed : leak: valve open ;suction vessel empty; delivery side over - pressurized : vapor lock ; control failure 432 REVERSE e.g., REVERSE FLOW caused by pump failure : NRV failure or wrongly inserted ; wrong routing; delivery over pressured; back- siphoning ; pump reversed MORE OF e.g., MORE FLOW caused by reduced delivery head ; surging ; suction pressurised ; controller failure ; valve stuck open leak ; incorrect instrument reading. MORE OF MORE TEMPERATURE, pressure caused by external fires; blockage ; shot spots; loss of control ; foaming; gas release; reaction;explosion; valve closed; loss of level in heater; sun. LESS OF e.g., LESS FLOW caused by pump failure; leak; scale in delivery; partial blockage ; sediments ; poor suction head; process turndown. LESS e.g., low temperature, pressure caused by Heat loss; vaporization ; ambient conditions; rain ; imbalance of input and output ; sealing ; blocked vent . PART OF Change in composition high or low concentration of mixture; additional reactions in reactor or other location ; feed change. MORE THAN Impurities or extra phase Ingress of contaminants such as air, water, lube oils; corrosion products; presence of other process materials due to internal leakage ; failure of isolation ; start-up features. OTHER Activities other than normal operation start-up and shutdown of plant ; testing and inspection ; sampling ; maintenance; activating catalyst; removing blockage or scale ; corrosion; process 433 emergency ; safety procedures activated ; failure of power, fuel, steam , air, water or inert gas; emissions and lack of compatibility with other emission and effluents. Case Study – Shell & Tube Heat Exchanger Using relevant guide works, perform HAZOP study on shell and tube heat exchanger 434 Guide Word Less Deviation -Less flow of cooling water. -Less pressure in tubes. Causes Pipe blockage.Pipe leakage.-Heat tubes burst. -Burst pipe. More -More cooling flow. -More pressure or tube side. -Failure of cooling water valve. -Failure of fluid valve. -Tube blockage. -Failure of inlet cooling water valve to open. -No cooling water flow. None -Process fluid contamination. Contaminatio n in cooling water -Equipment failure, pipe leak -Outlet temperature too low. -low fuel gas. -low cooling water. -Empty storage. -Organic acid present. -Corrosion of tube. -Cooler freezing -Decrease absorption. -Increase pollution. -Increase impurities in syngas product. -Less cooling and crack of tube -Hardness of cooling water. Contaminati on -Maintenance Other Part of More than Consequences -Temperature of process fluid remains constant. -Process fluid temperature too low. -Explosion -Temperature of process fluid decrease (Too low). -Bursting of tube. -Tube failure. -Process fluid temperature does not decreased. 435 -Process stops Action -High temperature Alarm. -Installation of flow meter. -Flow alarm or shutdown. -Alarm low pressure. -Low temperature alarm. -Flow alarm. -Install high pressure alarm. -Pressure relief system on tubes -Install Temperature indicator before and after the process fluid line. -Proper maintenance and operator alert. -Ensure all pipes and fittings are constructed of the right material and are stress relieved. -Install low flow alarm in fuel gas. -Install low level alarm on cooling water. -Proper Maintenance to check suitability of material of construction. CONCLUSION Benefit of hazop During the design of a new plant, design personnel are under pressure to keep the project on schedule. This pressure frequently results in errors and oversights. HAZOP study is an opportunity to correct these before such changes become too expensive, or impossible to accomplish. Besides safety hazards, the HAZOP technique is very effective for identifying plant operability problems, threats to the environment, product quality, plant throughput and for highlighting critical maintenance requirements. Limitation of Hazop HAZOP is a powerful technique but the extent to which it can uncover all foreseeable hazards is limited by the knowledge, experience and deductive skills of the HAZOP team. For these reasons, it is difficult to assess the ‘quality' of a given HAZOP in any objective or auditable way. Audits can be carried out to establish that the process has been followed, but they cannot verify the competence of the team. 436 Environmental : Benzene PHYSICAL STATE; APPEARANCE: COLOURLESS LIQUID , WITH CHARACTERISTIC ODOUR. PHYSICAL DANGERS: The vapour is heavier than air and may travel along the ground; distant ignition possible. As a result of flow, agitation, etc., electrostatic charges can be generated. CHEMICAL DANGERS: Reacts violently with oxidants, nitric acid, sulfuric acid and halogens causing fire and explosion hazard. Attacks plastic and rubber. OCCUPATIONAL EXPOSURE LIMITS: TLV: 0.5 ppm as TWA; 2.5 ppm as STEL; (skin); A1; BEI issued; (ACGIH 2004).MAC: H; Carcinogen category: 1; Germ cell mutagen group: 3A; (DFG 2004). OSHA PEL: 1910.1028 TWA 1 ppm ST 5 ppm NIOSH REL: Ca TWA 0.1 ppm ST 1 ppm NIOSH IDLH: Potential occupational carcinogen 500 ppm ROUTES OF EXPOSURE: The substance can be absorbed into the body by inhalation , through the skin and by ingestion . 437 INHALATION RISK: A harmful contamination of the air can be reached very quickly on evaporation of this substance at 20°C. EFFECTS OF SHORT-TERM EXPOSURE: The substance is irritating to the eyes , the skin and the respiratory tract . Swallowing the liquid may cause aspiration into the lungs with the risk of chemical pneumonitis. The substance may cause effects on the central nervous system , resulting in lowering of consciousness . Exposure far above the occupational exposure limit value may result in unconsciousness and death . EFFECTS OF LONG-TERM OR REPEATED EXPOSURE: The liquid defats the skin. The substance may have effects on the bone marrow and immune system , resulting in a decrease of blood cells. This substance is carcinogenic to humans. Methane PHYSICAL STATE; APPEARANCE: COLOURLESS, COMPRESSED OR LIQUEFIED GAS , WITH NO ODOUR. PHYSICAL DANGERS: The gas is lighter than air. OCCUPATIONAL EXPOSURE LIMITS: 438 TLV: (aliphatic hydrocarbons gases, Alkane C1-C4) 1000 ppm (as TWA). MAC not established. ROUTES OF EXPOSURE: The substance can be absorbed into the body by inhalation. INHALATION RISK: On loss of containment this gas can cause suffocation by lowering the oxygen content of the air in confined areas. EFFECTS OF SHORT-TERM EXPOSURE: Rapid evaporation of the liquid may cause frostbite. An Introduction to Indoor Air Quality (IAQ) Carbon Monoxide (CO) Carbon monoxide is an odorless, colorless and toxic gas. Because it is impossible to see, taste or smell the toxic fumes, CO can kill you before you are aware it is in your home. At lower levels of exposure, CO causes mild effects that are often mistaken for the flu. These symptoms include headaches, dizziness, disorientation, nausea and fatigue. The effects of CO exposure can vary greatly from person to person depending on age, overall health and the concentration and length of exposure. Health Effects Associated with Carbon Monoxide At low concentrations, fatigue in healthy people and chest pain in people with heart disease. At higher concentrations, impaired vision and coordination; headaches; dizziness; confusion; nausea. Can cause flulike symptoms that clear up after leaving home. Fatal at very high 439 concentrations. Acute effects are due to the formation of carboxyhemoglobin in the blood, which inhibits oxygen intake. At moderate concentrations, angina, impaired vision, and reduced brain function may result. At higher concentrations, CO exposure can be fatal. Levels in Homes Average levels in homes without gas stoves vary from 0.5 to 5 parts per million (ppm). Levels near properly adjusted gas stoves are often 5 to 15 ppm and those near poorly adjusted stoves may be 30 ppm or higher. Steps to Reduce Exposure to Carbon Monoxide It is most important to be sure combustion equipment is maintained and properly adjusted. Vehicular use should be carefully managed adjacent to buildings and in vocational programs. Additional ventilation can be used as a temporary measure when high levels of CO are expected for short periods of time. Keep gas appliances properly adjusted. Consider purchasing a vented space heater when replacing an unvented one. Use proper fuel in kerosene space heaters. Install and use an exhaust fan vented to outdoors over gas stoves. Open flues when fireplaces are in use. Choose properly sized wood stoves that are certified to meet EPA emission standards. Make certain that doors on all wood stoves fit tightly. 440 Have a trained professional inspect, clean, and tune-up central heating system (furnaces, flues, and chimneys) annually. Repair any leaks promptly. Do not idle the car inside garage. Measurement Methods Some relatively high-cost infrared radiation adsorption and electrochemical instruments do exist. Moderately priced real-time measuring devices are also available. A passive monitor is currently under development. Exposure Limits Occupational Safety and Health Guideline for Carbon Monoxide [OSHA PEL] The current Occupational Safety and Health Administration (OSHA) permissible exposure limit (PEL) for carbon monoxide is 50 parts per million (ppm) parts of air (55 milligrams per cubic meter (mg/m(3))) as an 8-hour time-weighted average (TWA) concentration [29 CFR Table Z-1]. [NIOSH REL] The National Institute for Occupational Safety and Health (NIOSH) has established a recommended exposure limit (REL) for carbon monoxide of 35 ppm (40 mg/m(3)) as an 8-hour TWA and 200 ppm (229 mg/m(3)) as a ceiling [NIOSH 1992]. The NIOSH limit is based on the risk of cardiovascular effects. [ACGIH TLV] The American Conference of Governmental Industrial Hygienists (ACGIH) has assigned carbon monoxide a threshold limit value (TLV) of 25 ppm (29 mg/m(3)) as a TWA for a normal 8-hour 441 workday and a 40-hour workweek [ACGIH 1994, p. 15]. The ACGIH limit is based on the risk of elevated carboxyhemoglobin levels [ACGIH 1991, p. 229]. 442