INDUSTRIAL PLANT DESIGN Edsel G. Anyayahan, PME VISION 1 Laguna University shall be a socially responsive educational institution of choice providing holistically developed individuals in the Asia-Pacific Region. MISSION Laguna University is committed to produce academically prepared and technically skilled individuals who are socially and morally upright citizens. Department of Mechanical Engineering MISSION The Department of Mechanical Engineering of Laguna University is committed to produce academically prepared and technically skilled mechanical engineers who are socially and morally upright citizens. VISION The Department of Mechanical Engineering of Laguna University is envisioned to be the provincial college of choice producing well-equipped mechanical engineers who specializes on energy management. 2 Table of Contents Module 1:Fuels and Combustion Introduction Learning Objectives Lesson 1. Classification of Fuels Lesson 2. Hydrocarbons Lesson 3. Properties of Diesel Engine Lesson 4. Solid fuels Lesson 5. Coal Analysis Lesson 6. Combustion Chemistry Lesson 7. Air-fuel Ratio in terms of the products of Combustion (Volumetric Analysis) Assessment Task 1 Summary Reference 1 1 1 4 6 10 15 22 27 31 32 32 Module 2: Steam Generating Unit Introduction Learning Objectives Lesson 1. Types of Boiler Lesson 2. Boiler Ratings and Performance Lesson 3. Steam Generator Heat Balance Assessment Task 2 Summary Reference 33 33 34 35 37 41 42 42 Module 3: Mechanical Dryers Introduction Learning Objectives Lesson 1. Mechanical Dryer Assessment Task 3 Summary Reference 43 43 44 54 55 55 3 Course Code: ME 204 Course Description: This course is a study of mechanical engineering theories, equipment and systems that are needed in the operation of an industrial/manufacturing plant. Course Intended Learning Outcomes (CILO): At the end of the course, students should be able to: 1. Practice leadership skills in decision-making during group discussion and group activity 2. Modify and apply basic design concepts of industrial plants systems and equipment 3. Differentiate and design the basic components of industrial equipment in accordance with Codes and Standards 4. Build skills in selecting system components and equipment in industrial plant design Course Requirements: Assessment Tasks - 60% Major Exams -40% _________ Periodic Grade 100% Computation of Grades: PRELIM GRADE = 60% (Assessment Task 1-3) + 40% (Prelim exam) MIDTERM GRADE = 30%(Prelim Grade) + 70 %[60% Assessment Task 1-3) + 40% (Midterm exam)] FINAL GRADE = 30%(Midterm Grade) + 70 %[60% (Assessment Task 1-3) + 40% (Final exam)] 4 MODULE 1 FUELS AND COMBUSTION Introduction Fuel is any substance or combustible material that by rapid oxidation or burning produces heat and light. An example of a fuel is coal or gasoline. A fuel is composed of chemical elements which, in rapid chemical union with oxygen, produce combustion. Fossil fuels are fuels that originate from the earth as a result of the slow decomposition and chemical conversion of organic material. The basic forms of fossils are solid (coal), liquid (oil), and natural gas. Synthetic fuels or synfuels, the new combustible-fuel-options, are liquid or gaseous fuels derived largely from coal, oil shale, and tar sands (Francisco, 2014). Learning Outcomes At the end of this module, students should be able to: 1. Define what fuels is, and determine the different classification of Fuels; 2. Solve problems involving properties of Diesel Engine; 3. Review and learn the different Coal Analysis; and 4. Learn the Combustion Chemistry. 1 Lesson 1. Classification of Fuels According to Francisco (2014) the different types of fuels are: 1. Solid Fuels a. Natural solid fuels. Ex. Coal, wood, bagasse b. Prepared or manmade. Ex. Charcoal, coke, briquette fuels 2. Liquid Fuels a. Hydrocarbon (Cn Hm ) i. Gasoline – Octane, C8 H18 ii. Diesel – Hexadecadene, C16 H32 iii. Fuel oil – Dodecane, C12 H26 b. Alcohol (Cx Hy Oz ) i. Ethyl alcohol ii. Methyl alcohol c. Alcogas (70% alcohol and 30% ethanol) d. Methanol (Liquid Coal) 3. Gaseous Fuels a. Natural Gas Derivatives i. Methane, CH4 ii. Propane, C3 H8 iii. Ethane, C2 H6 iv. Acetylene, C2 H2 b. Liquid Petroleum Gas (LPG) c. Biogas (Animal waste gas) Crude Oil Crude oil is the term used from the raw petroleum as it comes from the oil wells (Francisco, 2014). Classification of Crude oil from Francisco (2014) 1. Paraffin Base 2. Napthenic Base 2 3. Mixed Base Products Resulting from the Refinement of Petroleum (Francisco, 2014): 1. Natural gas The gaseous hydrocarbons are usually associated with liquid petroleum, either standing above the liquid in the earth or dissolved in it. 2. Gasoline Liquid petroleum fuel intended for use in spar-ignition engines. Specific gravity is 0.70 to 0.78 3. Kerosene The next fraction heavier than gasoline Intended for use in lamps, heaters, stoves, and similar appliances Excellent fuel for compression-ignition engines and for aircraft gas turbines Specific gravity is 0.78 to 0.85 4. Distillate Slightly heavier than kerosene Obtained from some Western United States crude by distillation at atmospheric pressure Substantially the same uses as a kerosene 5. Diesel Fuel Petroleum fractions that lie between kerosene and lubricating oils It covers a wide range of specific gravity Composition is controlled to make them suitable for use in various types of CI engines. 6. Fuel oils Covers a wide range of specific gravity Distillation is similar to that of Diesel oils Its compositions do not require such accurate control as in Diesel oils for it is used in continuous burners. 7. Lubricating oils Made up in part from heavy distillates of petroleum and in part from residual oil, that is, oils remaining after distillation. Tar and asphalt are solid or semi-solid products that remain undistilled. 3 Compositions of Petroleum Products from Francisco (2014) The common or main compositions of petroleum products are carbon and hydrogen Hydrocarbon is the combination of carbon and hydrogen The general formula is Cn Hm , where n = 1 to 26 and m = 2 to 54 Lesson 2. Hydrocarbons According to Francisco (2014) hydrocarbons are: Hydrocarbons are further categorized into sub-families such as: Alkynes (Cn H2n−2 ) → Ex. Acetylene, C2 H2 Alkenes (Cn H2n ) → Ex. Ethylene, C2 H4 Alkanes (Cn H2n+2 ) → Ex. Octane, C8 H8 Alkynes and alkenes are referred to as unsaturated hydrocarbons. Alkanes are referred to as saturated hydrocarbons. Alkanes are also known as the paraffin series and methane series. Alkenes are subdivided into the chain-structures olefin series and the ring-structured naphthalene series. Aromatic hydrocarbons (𝐶𝑛 𝐻2𝑛−6 ) constitute another subfamily. Ex. Benzene, 𝐶6 𝐻6 . Types of Hydrocarbons from Francisco (2014) 1. Paraffin (Cn H2n+2 ) 2. Olefins (Cn H2n ) Ex. Heptane, C7 H16 Ex. Octane, C8 H16 Cracking of Hydrocarbons from Francisco (2014) Cracking is the process of splitting hydrocarbon molecules into smaller molecules. It is used to obtain lighter hydrocarbons (such as used in gasoline) from heavy hydrocarbons (say, Crude oil) o Ex. Alkane molecules crack into a smaller member of the alkane subfamily and a member of the alkene subfamily. Cracking can proceed under the influence of high temperatures (thermal cracking) or catalysts (catalytic cracking or “cat cracking”). Catalytic Cracking also produces gasoline with better antiknock properties than does thermal cracking. 4 Gaseous Fuels According to Francisco 2014 the different types of Gaseous Fuels are: 1. Natural Gas Obtained from oil wells It is called a casing-head gas Usually treated for gasoline recovery It is delivered into the pipeline system to be used as fuel 2. Coke-oven Gas Obtained as a by-product when making coke Its analysis depends into the pipeline system to be used as fuel Coke; typically used in blast furnaces, is produced by heating coal in the absence of oxygen. The heavy hydrocarbons crack, leaving only a carbonaceous residue containing ash and sulfur. Coke burns smokelessly. Breeze is coke smaller than 5/8 inch (16 mm). it is not suitable for use in blast furnaces, but steam boilers can be adapted to use it. Char is produced from coal in 900 °F (500°C) carbonization process. 3. Blast-Furnace Gas A by-product of melting iron ore 4. Produces Gas 5. Sewage-Sludge Gas Obtained from sewage disposal plants Four Main Methods in Making Gasoline from Francisco (2014) 1. Distillation or refining from crude oil 2. Cracking residue oil 3. Polymerization of gases produced by the cracking process, which produce a high-octane gasoline that can be used either directly or blended with gasoline produced by other methods. 4. Extraction from natural gas by absorption and distillation and blending with some heavier hydrocarbons. 5 Lesson 3. Properties of Diesel Engine The Different Properties of Diesel Engine from Francisco (2014): Density – the mass per unit volume of the fuel, in kg/li, kg/m3 , or lb/Ft 3 𝝆= 𝒎 𝑽 The density of fuel is measure at 60 °F (15.6 °C) Density at 15.6 °C = SG at 15.6 °C / 15.6 °C, kg/li Hydrometer- an instrument used for determination of SG (15.6 °C / 15.6 °C) in °API (American Petroleum Institute) and °Baume. °𝐁𝐚𝐮𝐦𝐞 = °𝐀𝐏𝐈 = 𝟏𝟒𝟎 𝐒𝐆 𝐚𝐭 ( 𝟏𝟓.𝟔 °𝐂 𝟏𝟓.𝟔 °𝐂 𝟏𝟒𝟏. 𝟓 𝟏𝟓.𝟔 °𝐂 𝐒𝐆 𝐚𝐭 (𝟏𝟓.𝟔 °𝐂) ) − 𝟏𝟑𝟎 − 𝟏𝟑𝟏. 𝟓 Coefficient of Volumetric Expansion – a coefficient used in oil purchasing and storage, since oil is bought by volume usually expressed in terms of 42-gallons barrels. 𝐕𝐭 = 𝐕𝐨 [𝟏 + 𝟎. 𝟎𝟎𝟎𝟒(𝐭 − 𝐭 𝐨 )] → 𝐄𝐧𝐠𝐥𝐢𝐬𝐡 𝐔𝐧𝐢𝐭 Where, Vt = volume at a temperature t, Ft 3 t = temperature, °F Vo = volume at a temperature t o , (usually 60 °F), Ft 3 Coefficient = 0.0004/°F 𝐕𝐭 = 𝐕𝐨 [𝟏 + 𝟎. 𝟎𝟎𝟎𝟕(𝐭 − 𝐭 𝐨 )] → 𝐒𝐈 𝐔𝐧𝐢𝐭 Where, Vt = volume at a temperature t, m3 , li 6 t = temperature, °F Vo = volume at a temperature t o , (usually 15.6 °F), m3 , li Coefficient = 0.0007/°C SAMPLE PROBLEMS from Francisco (2014) 1. A 28 °API oil has a temperature 40 °F. what is its density? Solution: Considering the English System For SG at 60°F, °API = 𝟏𝟒𝟏.𝟓 𝐒𝐆 𝐚𝐭 ( SG at ( 𝟏𝟓.𝟔 °𝐂 ) 𝟏𝟓.𝟔 °𝐂 − 131.5 60 °F 141.5 141.5 )= = = 𝟎. 𝟖𝟖𝟕 60 °F °API + 131.5 28 + 131.5 For the density at 60 °F, 60 °F ρ60°F = ρwater@60°F (Sg @ 60 °F) = 62.4(0.887) = 𝟓𝟓. 𝟑𝟓 𝐥𝐛/ f𝐭 𝟑 For the given volume at a given temperature, t = 40 °F Vt = Vo [1 + 0.0004(t − t o )] = 1 ft 3 [1 + 0.0004(40 − 60)] = 𝟎. 𝟗𝟗𝟐 𝐟𝐭 𝟑 For the density at 40 °F 55.35 ρ40°F = 0.992 = 𝟓𝟓. 𝟖 𝐥𝐛/f𝐭 𝟑 Considering the SI units t = 40 °F = 4.44°C SG ( 15.6 °C 141.5 141.5 )= = = 𝟎. 𝟖𝟖𝟕 15.6 °C °API + 131.5 28 + 131.5 ρ15.6°C = SG(at 15.6℃) (1.0) = 𝟎. 𝟖𝟖𝟕 𝐤𝐠/li 15.6℃ Vt = Vo [1 + 0.0007(t − t o )] → ρt = m m = [1 + 0.0007(t − t o )] ρt ρo ρo 0.887 𝐤𝐠 = = 𝟎. 𝟖𝟗𝟒 [1 + 0.0007(t − t o )] [1 + 0.0007(4.44 − 15.6)] 𝐥𝐢 7 Viscosity – property of Diesel fuel used to measure its resistance to flow. It is a fair indication of how the oil will atomize and how it will affect the injection pump. o Absolute viscosity, µ SI units → 1 poise − 1 Dyne-sec/cm2 English Units → 1 lbf -sec/ft 2 = 1 slug/ft-sec o Kinematic Viscosity – the ratio of absolute viscosity to that of the density, v = µ ρ SI units → 1 stoke = 1 cm2 /sec English Units → Ft 2/sec Saybolt Viscosimeter – an instrument used to measure viscosity of oil in Saybolt Universal (SSU) or Saybolt Seconds Furol (SSF). Centistoke = 0.308(SSU − 26) 62 SSF = 600 SSU 1 SSF = 9.68 SSU Heating Value – refers to the heat content of the fuel in a unit mass. The heating value of a liquid fuel is ranging from 18 000 to 19 500 Btu/lb. An instrument or apparatus used to determine the heating value of a fuel is known as Bomb or Sergent Calorimeter. Heating value is also called as Calorific Value. Higher Heating Value (HHV) is the heating value obtained when the moisture or water in the product of combustion is in the liquid condition. Lower Heating Value (LHV) is the heating value obtained when the moisture or water in the product of combustion is in the vapor condition. ASME formula: HHV = 41130 + 139.6(°API) → kJ/kg HHV = 17680 + 60(°API) → Btu/lb 8 Sherman and Knoff Formula: HHV = 18 250 + 40(°Baume −10) → Btu/lb HHV = 42 450 + 93(°Baume −10) → kJ/kg Bureau of Standard Formula: HHV = 51 716 − 8 793.8(SG)2 → kJ/kg Lower Heating Value, LHV = HHV −9H2 (2442) → kJ/kg Where, H = 26 -15(SG), in decimal Flash Point and Fire Point – the temperature at which oil vapor flashes or burns steadily; used in relation to ignition and storage hazards of oil. Pour point – the lowest temperature at which oil flows; used in pumping and flow of oils. It is more important to the fuel for mobile engines whose fuel tanks are generally exposed and unheated that for stationary units. Color is sometime specified on the basis that good color indicates clean fresh stock of satisfactory volatility. Purity. Although oils is a relatively pure fuel it may contain some sediment and water, ash, or sulfur, all of which are undesirable impurities and are limited to low permissible amounts in specifications. Sediment and water are determined by eluting the fuel with benzol and centrifuging. They are reported together, sometimes by the number B.S. and W., meaning bottom sediment and water. Sulfur Content – in weight percentage; useful with reference to corrosion of plant equipment. Moisture and Sediment – in weight or volume percentage; useful in firing of oil. Specific Heat – varies with temperature but for usual values is about 0.4 to 0.5 Btu/lb-F; used in heating problems. Carbon Residue – test indicating carbon forming characteristics of oil; used in oil burning. Lesson 4.Solid Fuels 9 Coal from Francisco (2014) Coal – is a solid fuel which is a mixture of carbon, hydrogen, oxygen, nitrogen, sulfur, ash, and moisture. It is believed that the coal once existed primarily as vegetable matter. Coal is a general term that encompasses a large number of solid organic minerals with widely differing compositions of properties, although all are essentially rich in amorphous (without regular structure) elemental carbon. Coal Compositions from Francisco (2014) Coal has these components distributed throughout its mass: a) coal substance, b) mineral matter, and c) moisture. Coal substance consists of many organic compounds by carbon, hydrogen, and oxygen from original vegetable matter. The exact composition varies but does not affect practical coal burning. The mineral matter to some extent was in the original vegetable fibers. Water, which percolated through the peat, bogs and coal seams, contained dissolved salts and deposited most of the mineral content of the coal. The moisture content of coals, of ten called “mechanical moisture”, means water retained by coal. Classification of Coals from Francisco (2014) There are many ways of classifying coal according to its chemical and physical properties. The most accepted system is that one used by the American Society for Testing and Materials (ASTM), which classifies coals by grade or rank according to the degree of metamorphism (change in form and structure under the influences of heat, pressure, and water), ranging from the lowest state (lignite) to the highest (anthracite) These classifications are briefly described below in descending order: 1. Anthracite coal The highest grade of coal 10 Contains a high content, 86% to 98% by mass, of fixed carbon on a dry, mineralmatter-free basis and a low content of volatile matter less than 2% to 14 % by mass (chiefly methane, CH4 ) Very hard coal having a shiny black luster A brittle coal that borders on graphite at upper end of fixed carbon. Non-coking With high percentage fixed carbon Less than 8% volatile matter Requires strong draft Burns without flame or very short bluish flame Desirable when smokeless combustion is essential. Note: o Graphite is a moderately soft allotropic form of carbon. Carbon crystallizes perfectly into diamond, imperfectly into graphite and is amorphous (having no regular structure, non-crystalline) in anthracite and charcoal. o The anthracite rank of coal is subdivided into three groupings, in descending of fixedcarbon percent, as follows: Metha-anthracite, greater than 90% Anthracite, 92 % to 98% Semi-anthracite, 86% to 92% 2. Semi-anthracite coal Not used commercially as steam coal With less fixed carbon With 8 to 14 % volatile matter Less luster Burns with larger and more luminous flames 11 3. Semi-bituminous coal Highest grade of bituminous coal Burns with very small amount of smoke Softer than anthracites coals Contains 14 to 22 % volatile matter Has a tendency to break into small sizes during storage or transportation. 4. Bituminous coal Soft and with high percentage of volatile matter Burns with long yellow and Smokey flames Cary greatly in percentage of volatile matter, moisture, ash and sulfur. Classified as free-burning and caking or coking. 5. Sub-bituminous coal Sometimes known as black lignites Low grade bituminous coal which has lost the woody, structural appearance of lignites Disintegrates when exposed to the air and requires careful attention during storage Contains 36 to 45 % volatile matter Contains 17 to 20 % moisture 6. Lignites coal The transition state between peat and the sub-bituminous grade Have a woody or offer a claylike appearance With low heating value Contains 30 to 45 % moisture High ash content Unless carefully stored, lignites are subject to spontaneous combustion PEAT o It is not an ASTM rank of coal o It is the first geological step in coal’s formation 12 o It is a heterogeneous material consisting of decomposed plant matter and in organic minerals o It contains up to 90% moisture. Components of Coals from Francisco (2014) 1. Coal substance – part of coal consisting of organic compounds of carbon, hydrogen, and oxygen that are derived from the original vegetable. 2. Mineral Matter- composed of inorganic compounds which to some extent with in the original wood. 3. Moisture Content – referred to as mechanical moisture and means water as such retained by the coal. Properties of Solid Fuels (Coal) from Francisco (2014) 1. Heating Value or Calorific Value – the equivalent heat content in a unit mass fuel; determined either by calorimetric measurement or by Dulong’s formula. o Dulong’s Formula (Solid Fuels) for higher heating value HHV = 33 820C + 144212 (H2 − HHV = 14544C + 62028 (H2 − O2 O2 8 8 ) + 9304S → kJ/kg ) + 4050S → Btu/lb Where C, H, O, & S are element in percentage by weight o Lower Heating Value LHV = HHV – QL where: QL = latent heat of water content, QL = mw hfg = 9mH2 hfg mw = mass of water vapor in products of combustion per unit mass of fuel (due to the combustion of H2 In the fuel, but not including initial H2 O in fuel. 13 mH2 = mass of original hydrogen per unit mass of fuel, known from ultimate analysis. hfg = latent heat of vaporization of water vapor at its partial pressure in the combustion products, Btu/lbm H2 O or kJ/kg H2 O QL = (W + 9H)(2493 + 1.926t g − 4.187t a ) → for t g ≤ 302 °C QL = (W + 9H)(2442 + 2.0935t g − 4.187t a ) → for t g > 302°𝐶 W = free moisture in fuel, kg/kg fuel t g = flue gas temperature, °C t a = combustible air temperature, °C 2. Ash-fusion temperature – refers to fluid temperature 3. Grindability – indicates the case with which a coal maybe pulverized. 4. Coking – refers to the ability of the coal, when heated, to evolve volatile matter 5. Caking 6. Free-burning 7. Friability 8. Clinkering Note: o Coke is the solid substance remaining after the partial burning of coal in an even or after distillation properties. 14 Lesson 5. Coal Analysis According to Francisco (2014) there are two types of coal analysis: proximate and ultimate, both done on a mass-percent basis. Both methods may be used on: o “As- received Basis”, useful for combustion calculations o “Moisture-Free-Basis”, avoids variation of the moisture content even in the same shipment and certainly in the different stages of pulverization. o “Dry Mineral-Matter-Free Basis”, circumvents the problem of the ash contents not being the same as the mineral matter in coal. Proximate Analysis from Francisco (2014) This is the easier of the two types of coal analysis and the one which, supplied readily meaningful information for coal’s use in the steam generators. It is an analysis that gives the gravimetric fraction of moisture, volatile matter, fixed carbon, and ash. It determines the mass percentages of fixed carbon, volatile matter, moisture, and ash. Sulfur maybe combined with ash or may be specified separately. Fixed Carbon from Francisco (2014) o It is the elemental carbon that exists in coal. o Its determination is approximated by assuming it to be the difference between the original sample and the sum of volatile matter, moisture, and ash. Volatile Matter from Francisco (2014) o It is that portion of coal, other than water vapor, which is driven off when the sample is heated in the pre absence of oxygen in a standard test (up to 1750 °F for 7 minutes) 15 o It consists of hydrocarbon and other gases that result from distillation and decomposition. Moisture from Francisco (2014) o it is determined by a standard procedure of drying in an oven o this does not account for all the water present, which includes combined water and water of hydration o there are several other terms for moisture in coal. One, inherent moisture, is that, existing in the natural state of coal and considered to be part of the deposit, excluding surface water. Ash from Francisco (2014) o it is the inorganic salts contained in coal. o It is determined in practice as the non-combustible residue after the combustion of dried coal in a standard test (at 1380 °F). Sulfur from Francisco (2014) o It is determined separately in a standard test o Being combustible, it contributes to the heating value of the coal. o It forms oxides which combine with water to form acids. These cause corrosion problem in the back end of steam generators if the gases are cooled below the dew point, as well as environmental problems. Ultimate Analysis from Francisco (2014) It is a special type of gravimetric analysis in which the constituents are reported by atomic species rather than by compound. In this analysis, combined hydrogen from moisture in the fuel is added to hydrogen from the combustive compounds. 16 It is an analysis showing the chemical elements of coals such as carbon, hydrogen, oxygen, nitrogen, sulfur, ash, and moisture. Elements are presented in percentage by weight. C – Carbon H – Hydrogen O – Oxygen N – Nitrogen S - Sulfur A – Ash W – Moisture According to Francisco (2014) bases of Reporting the Ultimate Analysis are: a. “As-received” or “As Fired” basis C + H + O + N + S + A + W = 100% b. Dry or moisture-free basis C+ H + O + N + S + A = 100 % c. Moisture and Ash Free or Combustible Basis C+ H + O + N + S = 100 % d. Moisture, Ash, and Sulfur-free basis C+ H + O + N = 100 % Note: o The first basis, as fired, is of most use to the power-plant operator because it shows the constituents of the fuel in the same condition as it was weighed and supplied to the furnace. o The remaining methods are used primarily for comparing coals from various sources. o To transfer an analysis from as received to dry, it is only necessary to deduct the weight of hydrogen and oxygen in the water from these terms and to divide each of the 17 remaining constituents by one minus the decimal equivalent of the moisture. A similar procedure may be used for converting to any the methods. SAMPLE PROBLEMS from Francisco (2014) 1. A certain type of coal has the following “as-received” analysis: C = 80.50 % S = 1.20 % H = 4.10 % A = 5.30 % O = 3.00 % W = 4.40 % N = 1.50 % Calculate the analysis on the dry basis and combustible basis. Solution: Consider the “Dry-Basis" Analysis Solving for the Factor for the dry-basis analysis, 𝑊 4.40 𝐹𝑎𝑐𝑡𝑜𝑟 = 1 − 100 = 1 − 100 = 𝟎. 𝟗𝟓𝟔 Dry-basis Analysis: C= O= 80.50 0.956 3.00 = 84.20 % H= = 3.10 % N= 0.956 1.20 S = 0.956 = 1.30 % 4.10 0.956 1.50 0.956 5.30 = 4.30 % = 1.60 % A = 0.956 = 5.50 % Then the sum of the components: C+ H + O + N + S + A = 100 % Consider the Combustible Basis Solving for the Factor for the Combustible Basis 𝐹𝑎𝑐𝑡𝑜𝑟 = [1 − (𝑊 + 𝐴) (5.30 + 4.40) ] = [1 − ] = 𝟎. 𝟗𝟎𝟑 100 100 Solving for the Combustible Basis 18 80.50 𝐶 = 0.903 = 89.20 % 3.00 𝑂 = 0.903 = 3.30 % 1.20 𝑆= = 1.30 % 0.903 4.10 𝐻 = 0.903 = 4.50 % 𝑁= 1.50 0.903 = 1.70 % Then the sum of the components: C+ H + O + N + S = 100% 2. Convert the ultimate analysis of coal shown in the table below to a) an ultimate analysis showing the amount of moisture (“as-received”), b) moisture-free basis, c) moisture and ash-basis, and d) moisture, ash, and sulfur-free basis. Determine the heating value in each case. a. Consider the “As-received” analysis Deduct 1/9 of W from H2 to obtain the ‘’as-received’’ percent H2 , and deduct 8/9 of W from O2 to obtain the ‘’as-received’’ percent of O2 . Total = 100 % Solving for the heating value of the “as-received” fuel HHV = 14600C + 62000(𝐻2 − 𝑂2 8 ) + 4050𝑆 HHV = 14600(0.6623)+6200(0.0425 − 0.0886 8 ) + 4050(0.0075) 19 HHV = 11648.305 Btu/lb b. Consider the Dry-Basis or Moisture-free basis of the analysis To obtain the moisture-free analysis, divide each component of the as received analysis, except W, by the following factor: 𝐹𝑎𝑐𝑡𝑜𝑟 = 1 − ( 9.77 ) = 0.9023 100 66.23 0.9023 4.25 H2 = 0.9023 8.86 O2 = 0.9023 1.51 N2 = 0.9023 0.75 S= 0.9023 8.63 A= 0.9023 73.40 % C= 4.71 % 9.82 % 1.67 % 0.83 % 9.57 % TOTAL 100.00 % Solving for the Heating value HV = 14600𝐶 + 62000 (𝐻2 − 𝑂2 8 ) + 4050𝑆 HV = 14600(0.7340) + 62000 (0.0471 − 0.0982 8 ) + 4050(0.0083) HV = 12 909.165 Btu/lb c. Consider the Ash and Moisture-free (combustible) Analysis To obtain the combustible analysis, divide each component, except Ash and Moisture, of the as received analysis by the following factor: 𝐹𝑎𝑐𝑡𝑜𝑟 = 1 − ( 0.0863 + 0.977 ) = 0.8160 100 66.23 0.816 4.25 H2 = 0.816 8.86 O2 = 0.816 1.51 N2 = 0.816 C= 81.16 % 5.21 % 10.86 % 1.85 % 20 S= 0.75 0.816 0.92 % TOTAL 100.00 % Solving for the Heating Value HV = 14600C + 62000 (H2 − O2 8 ) + 4050S HV = 14600(0.8116) + 62000 (0.0521 − 0.1086 8 ) + 4050(0.0092) HV = 14 275.17 Btu/lb d. Consider the moisture, ash, and sulfur-free basis of analysis To obtain this analysis, divide each component except moisture, ash and sulfur of asreceived analysis by the following factor: Factor = 1 − ( 0.75 + 0.0863 + 0.977 ) = 0.8085 100 66.23 0.8085 4.25 H2 = 0.8085 8.86 O2 = 0.8085 1.51 N2 = 0.8085 81.92 % C= 5.26 % 10.96 % 1.87 % TOTAL 100.00 % Solving for the heating value HV = 14600C + 62000 (H2 − O2 8 ) + 4050S HV = 14600 (0.8192) + 62000 (0.0526 − 0.1096 8 ) + 4050 (0) HV = 14 372.12 Btu/lb 21 Lesson6.Combustion According to Francisco (2014) Combustion is: Combustion is the rapid chemical union with oxygen of an element in which the exothermic heat of reaction is sufficiently great and the rate of reaction is sufficiently fast that useful quantities of heat are liberated at elevated temperature. Combustion is synonymous with oxidation and is the union of oxygen with a combustible material. Standard Air Composition and Standard from Francisco (2014) 1. Components By Weight 𝐍𝟐 = 𝟕𝟔. 𝟗 % 𝐚𝐧𝐝 𝐎𝟐 = 𝟐𝟑. 𝟏 % 2. Components By Volume 𝐍𝟐 = 𝟕𝟗 % 𝐚𝐧𝐝 𝐎𝟐 = 𝟐𝟏 % 3. Air Gas Constant R = 0.28708 kJ/kg-°K 4. Molecular Weight or Mass MW = 28.95 kg/kgmol = 28.95 lb/pmol 5. At p = 14.7 psi pr 101.325 kPa and t = 32 °F or 0 °C Volume of a mole of any gas, 𝐕𝐨 = 𝟑𝟓𝟗 𝐅𝐭 𝟑 /𝐩𝐦𝐨𝐥 = 22.43 𝐦𝟑/kgmol Combustion Chemistry from Francisco (2014) The following equations are the combustion chemistry of combustible components of the fuel. 1. Combustion of Carbon, C + O2 = CO2 Analysis by weight 12 kg C + 32 kg O2 = 44 kg CO2 8 11 1 kg C + ( ) kg O2 = ( ) kg CO2 3 3 Oxygen required for 1 kg C 8 Woc = 3 kg C/ kgO2 Molal Analysis 1 mole C + 1 mole O2 = 1 mole CO2 22 2. Combustion of Hydrogen, 2H2 + O2 = 2H2 O Analysis by weight 4 kg H2 + 32 kg O2 = 36 kg H2 O 1 kg H2 + 8 kg O2 = 9 kg H2 O Oxygen required for 1 kg H2 WOH2 = 8 kg H2 /kg O2 Molal Analysis 2 moles H2 + 1 mole O2 = 2 moles H2 O 1 1 mole H2 + mole O2 = 1 mole H2 O 2 3. Combustion of Sulfur, S + O2 = SO2 Analysis by Weight 32 kg S + 32 kg O2 = 64 kg SO2 1 kg S + 1 kg O2 = 2 kg SO2 Oxygen required for 1kg sulfur WOS =1 kg S/ kg O2 Molal Analysis 1 mole S + 1 mole O2 = 1 mole SO2 4. Incomplete Combustion of Carbon, 2 C + O2 = 2 CO Analysis by Weight 24 kg C + 32 kg O2 = 56 kg CO 4 7 1 kg C + ( ) kg O2 = ( ) kg CO 3 4 4 WOC = kg C/kg O2 3 Molal Analysis 2 moles C + 1 mole O2 = 2 moles CO 1 mole C + ½ mole O2 = 1 mole CO Theoretical Oxygen Required to Combust Fuel from Francisco (2014) 8 Wo = 3 C + 8 (H2 − O2 8 )+S → kg O2 / kg fuel Where, Wo = theoretical oxygen required, kg/kg fuel 23 C = fuel carbon content, kg/kg fuel O2 = oxygen content, kg/kg fuel S = sulfur content of the fuel, kg/kg fuel Theoretical Air Required from Francisco (2014) 𝐖 𝐎 𝐂+𝟖(𝐇𝟐 − 𝟐 )+𝐒 𝟖 𝐨 𝐖𝐚 = 𝟎.𝟐𝟑𝟏 =𝟑 𝟖 𝟎.𝟐𝟑𝟏 Equation by Vopat Wa = 11.5 C + 34.5 (H2 − O2 ) + 4.32S 8 Equation by Potter Wa = 11.53 C + 34.36 (H2 − O2 ) + 4.32S 8 Equation Used by Subaran Wa = 11.44 C + 34.32 (H2 − O2 ) + 4.29S 8 Where, Wa = theoretical air required, kg/kg fuel, lb/lb fuel Complete Combustion of Carbon with Air from Francisco (2014) C + Air = CO2 + Nitrogen C + O2 + 3.76N2 = CO2 + 3.76N2 By Weight: 12 kg C + 32 kg O2 + 3.76(28) kg N2 = 44 kg CO2 + 3.76(28) N2 Relative Weight: 8 1 kg + 3 kg O2 + 8.77 kg N2 = Theoretical Air/ Fuel Ratio: 11 3 kg CO2 + 8.77 kg N2 8 A : F = + 8.77 = 11.45 kg air/ kg fuel 3 SAMPLE PROBLEMS from Francisco (2014) 24 1 Deduce the combustion equations for a) complete combustion of 1 kg and 1 m3 ethylene, C2 H4 , in air, and b) combustion with 25 % excess air. Solution: a) Consider the complete combustion C2 H4 + Air = CO2 + H2 O + N2 C2 H4 + aO2 + 3.76aN2 = bCO2 + 3.76aN2 + cH2 O For the coefficients (atom balance): Carbon, 2 = b Oxygen, 2a = 2b + c; a = b + c/2 = 2 + 1 = 3 Hydrogen, 4 = 2c; c = 2 For the combustion equation, By Volume, 1 m3 C2 H4 + 3 m3 O2 + 11.28m3 N2 = 2 m3 CO2 + 2m3 H2 O + 11.28m3 N2 Analysis by Weight, [12(2) + 4(1)] + 3(32) + 11.28(28) = 2(44) + 2(18) + 11.28(28)] 28 kg C2 H4 + 96 kgO2 + 315.84 kgN2 = 88kg CO2 + 36 kgH2 O + 315.84 kg N2 Relative Weight, 1 kgC2 H4 + 3.43 kgO2 + 111.28kgN2 = 3.14kgCO2 + 1.285kgH2 O + 11.28kgN2 Theoretical Air/Fuel Ratio, A : F = 3.43 + 11.28 = 14.71 kg air per kg fuel (ans.) 25 b. Consider the Actual Combustion with e = 25 % Weight Analysis, 28 kg Fuel + 120 kg O2 + 394.8 kg = 88 kg CO2 + 36 kg H2 O + 24 kg O2 + 394.8 kg N2 1 kgC2 H4 + 4.286 kgO2 + 14.1kgN2 = 3.14CO2 + 1.285kgH2 O + 0.857 kgO2 + 14.1kgN2 Therefore, the air : Fuel Ratio, 𝑊𝑎𝑎 = 4.286 + 14.1 = 18.386 kg/kg fuel (ans.) Combustion Products from Francisco (2014) The composition of the products depends on the kind of fuel used, the A/F ratio, and the conditions of combustion. The products usually contain carbon dioxide (CO2 ), carbon monoxide (CO), oxygen, nitrogen, free carbon, fly ash, steam, sulfur dioxide, and unburned carbons. Considering the Cn Hm Cn Hm + aO2 + 3.76aN2 = bCO2 + cH2 O + 3.76aN2 Atom balance, Carbon: n = b; b = n Hydrogen: m = 2c; c = 0.5m Oxygen: 2a = 2b + c; a = n + 0.25m 26 Substituting the coefficients, Cn Hm + (n + 0.25m)O2 + 3.76(1 + e)(n + 0.25m)N2 = nCO2 + 0.5mH2 O + e(n + 0.25m) + 3.76(1 + e)(n + 0.25m)N2 For the Air-Fuel Ratio with e, Waa = Waa = 32(1+e)(n+0.25m)+(1+e)(3.76)(n+0.25m)(28) 12n+m [32+3.76(28)](1+e)(n+0.25m) 12n+m 𝐀 𝟏𝟑𝟕. 𝟔(𝐧 + 𝟎. 𝟐𝟓𝐦)(𝟏 + 𝐞) = 𝐖𝐚𝐚 = 𝐅 𝟏𝟐𝐧 + 𝐦 Lesson 7.Air-Fuel Ratio In Terms of The Products Of Combustion (Volumetric Analysis) According to Francisco (2014) air-fuel ration of the product of combustion are: Considering the Dry Gas: CO2 = 100n n + e(n + 0.25m) + 3.76(1 + e)(n + 0.25m) Dividing both the denominator and numerator by n, 𝐶𝑂2 = 100 𝑚 𝑚 1 + 𝑒 (1 + 0.25 𝑛 ) + 3.76(1 + 𝑒) (1 + 0.25 𝑛 ) From the stoichiometric (gravimetric) analysis of fuel, H2 m = ; C 12n m 12H2 = n C Where, H2 = percent hydrogen by weight C = percent carbon by weight Substituting the value of m/n, 27 CO2 = CO2 = CO2 = 100 1 + [1 + 0.25 ( 12H2 C )] + 3.76(1 + e) [1 + 0.25 ( 100 1 + [e + 3.76(1 + e)] [1 + 0.25 ( 12H2 C )] 100 1 + 3.76 (1 + 3H2 C ) + 4.76e (1 + 3H2 C ) = = 12H2 C )] 100 1 + (3.76 + 4.76e) (1 + 3H2 C ) 100 1 + (3.76 + 11.28 H2 C ) + 4.76e (1 + 3H2 C ) Solving for the value of e, 1 + [3.76 + 11.28 ( 4.76e (1 + e= e= H2 3H2 100 )] + 4.76e (1 + )= C C CO2 3H2 100 H2 )= − [3.76 + 11.28 ( )] − 1 C CO2 C 100 − CO2 − (3.76 + 11.28 4.76e (1 + 3H2 C 100 − (4.76 + 11.28 e= (4.76 + 14.28 H2 C ) CO2 C 100 − [1 + [3.76 + 11.28 = (4.76 + 14.28 H2 C H2 C ]] CO2 ) CO2 ) CO2 ) CO2 H2 C C ) CO2 H2 100 − (4.76 + 11.28 (4.76 + 14.28 H2 H2 C ) CO2 → By Maleev ) CO2 A : F Ratio in Terms of H2 and C, H2 Waa 137.6(n + 0.25m)(1 + e) 137.6 (1 + 0.25 C ) (1 + e) = = H 12n + m 12 + 2 C But, m n Waa = = 12H2 C 137.6 [1 + 0.25 ( 12 + 12H2 C 12H2 C )] (1 + e) = 137.6 (1 + 3H2 C 12 (1 + ) (1 + e) H2 C ) 28 𝐖𝐚𝐚 = 𝟏𝟏. 𝟓𝟑 (𝟏 + 𝟑𝐇𝟐 (𝟏 + 𝐂 𝐇𝟐 𝐂 ) (𝟏 + 𝐞) ) Determination of The Values Of N And M In 𝐂𝐧 𝐇𝐦 (Sample Problems) from Francisco (2014) 1. An analysis of exhaust gases shows the products to consist of the following percentages vy volume: 𝐶𝑂2 = 12.1, 𝑂2 = 0.30, CO = 3.3, 𝐻2 = 1.3, 𝐶𝐻4 = 0.30, 𝑁2 = 82.7. Assuming the fuel to be a pure hydrocarbon of the form Cn Hm , a) find the values of n and m; b) Balance the combustion equation; and c) Determine the air-fuel ratio. Solution: a) Consider 100 moles of the products Cn Hm + aO2 + 82.7N2 = 12.1CO2 + 0.3 O2 + 3.3 CO + 1.3 H2 + 0.3 CH4 + 82.7 N2 + bH2 O Where, a = moles of oxygen in air supplied; b = moles of water vapor in the products #2. A natural gas has the following percentage volumetric compositions: CH4 = 59.8 % C2 H 6 = 37.6 % N2 = 2.2 % CO2 = 0.4 % Calculate: a. The molecular mass of weight of the natural gas b. The gravimetric analysis of the natural gas c. The gravimetric analysis per element d. The amount of air required per kg fuel for complete combustion and an excess air 50 % e. The volumetric rate of air required at a pressure of 101.325 kPaa and temperature of 15.56 ° C for a fuel mass flow rate of 50 kg/min. f. The amount of air required per 𝑚 3of fuel at 116 kPaa and 27 °C Solution: a) Solving for the molecular mass or weight 29 MW = 16CH4 + 30C2 H6 + 28N2 + 44CO2 MW = 16(0.598) + 30(0.376) + 28(0.022) + 44(0.004) = 21.64 kg/kgmol fuel b) Gravimetric analysis by component 16(CH4 ) MW 30(C2 H6 ) MW 28(N2 ) MW 44(CO2 ) MW CH4 C2 H 6 N2 CO2 16(0.598) [ ] (100%) 21.64 30(0.376) [ ] (100%) 21.64 28(0.022) [ ] (100%) 21.64 44(0.004) [ ] (100%) 21.64 TOTAL 44.21 % 52.13 % 2.85 % 0.81 % 100 % c) Computation of the gravimetric analysis by weight C 12CH4 + 24C2 H6 + 12CO2 (100%) MW 12(0.598) + 24(0.376) + 12(0.004) (100%) 21.64 75.083 % H2 4CH4 + 6C2 H6 (100%) MW 4(0.598) + 6(0.376) (100%) 21.64 21.479 % N2 28N2 (100%) MW 28(0.022) (100%) 21.64 2.847 % O2 32CO2 (100%) MW 31(0.004) (100%) 21.64 0.591 % TOTAL d) 100 Solving for the actual air required per kg fuel (1 + e)Wa (1 + e) 8 O2 [ C + 8 (H2 − ) + S] Waa = = 0.231 0.231 3 8 Waa = (1.50)Wa (1.50) 8 0.0059 [ (0.7508) + 8 (0.2148 − = ) + 0] 0.231 0.231 3 8 𝐖𝐚𝐚 = 𝟐𝟏. 𝟏𝟐 kg air per kg fuel e) Determination of the volumetric rate of air required Solving for the mass flow rate of air required, ma = (Waa )mF = (24.12)(50) = 1206 kg min 30 Solving for the volumetric rate of air required Va = ma R a Ta 1206(0.28708)(15.56 + 273) = = 985.71 m3 /min Pa 101.325 For the given Flue Gas Analysis (Orsat Analysis) Excess Air, e = O2 − 0.5CO (100%) 0.26N2 − (O2 − 0.5CO) Mass of Flue Gas Wdg = 4CO2 + O2 + 700 3 5 (Cab + S) + S 3(CO2 + CO) 8 8 where, Cab = actually burned carbon, kg/kgfuel Cab = C − Cub ; Cub = unburned carbon Assessment Task 1 Answer the following; write your solution in engineering lettering. 1. A diesel power plant uses fuel with a heating value of 43,000 kJ/kg. What is the density of the fuel at 25 °C? 2. A typical industrial fuel oil, C16 H32 , has 20 % excess air by weight. Assuming complete oxidation of the fuel, calculate the actual air-fuel ratio by weight. 3. A gaseous fuel mixture has a molal analysis: H2 = 14 % ; CH4 = 3 % ; CO = 27 % ; O2 = 0.6 % ; CO2 = 4.5 % ; N2 = 50.9%. Determine the air-fuel ratio for complete combustion on molal basis. 4. There are 20 kg of flue gas formed per kg of fuel oil burned in the combustion of fuel 𝐶12 𝐻32 . What is the excess air percent? 5. A certain coal has the following ultimate analysis by weight : C =67 %, A = 5 %, M = 8%, S = 7 %, 𝑁2 = 6 %, 𝑂2 = 4 %, 𝐻2 = 3 %. a) Calculate the heating value of the fuel, kJ/kg, b) What is the lower heating value, kJ/kg, c) Determine the air-fuel ratio of this coal is burned with 50 % excess air. 6. At a certain temperature of 25 °C, what is the specific gravity of a fuel at 20 °API? 31 Summary Combustion is the rapidchemical union with oxygen of an element whose heat of reaction is sufficiently great and rate of reaction is fast enough that quantities of heat are liberated at elevated temperature. Straight oils are oils produced entirely from the crude chosen entirely through elimination of undesired constituents by refining process. Additive oils are oils produced by adding to straight mineral oils; certain oil are soluble compounds that enhance the lubricating oil properties for use in Diesel engines. Proximate analysis – composition of fuel that gives on mass basis the relative amount of volatile matter, fixed carbon, moisture and ash. Fuel is any substance or combustible material that by rapid oxidation or burning produces heat and light. An example of a fuel is coal or gasoline. A fuel is composed of chemical elements which, in rapid chemical union with oxygen, produce combustion. Fossil fuels are fuels that originate from the earth as a result of the slow decomposition and chemical conversion of organic material. The basic forms of fossils are solid (coal), liquid (oil), and natural gas. Synthetic fuels or synfuels, the new combustible-fuel-options, are liquid or gaseous fuels derived largely from coal, oil shale, and tar sands (Fossil Fuel, n.d). Reference Francisco, Jose R. (2014). Lecture Notes in Industrial Plant Design, Lesson 8: Fuels and Combustion, p.g 125 to p.g 151. 32 MODULE 2 STEAM GENERATING UNIT Introduction Steam Generator is a combination of apparatus for producing, furnishing, or recovering heat, together with apparatus for transforming to a working fluid the heat thus available (Francisco, 2014). Learning Objectives At the end of this module, students should be able to: 1. Learn the different Types of Boiler; 2. Solve problems involving Boiler ratings and performance; and 3. Know and solve Steam Generator Heat Balance problems. 33 Lesson 1.Types of Boiler According to Francisco (2014) the different types of boiler are: 1. Fire-tube boilers – are those having the heat gases of combustion inside the tubes. Limited only to a working pressure of 1.7 Mpag. a. Horizontal-Return-Tubular (HRT) Boiler b. Packaged Fire-Tube Boiler c. Vertical Tubular Boiler 2. Water-Tube-Boilers – are those having the hot gases of combustion outside the tubes. a. Horizontal Straight-Tube Boiler b. Central Station Steam Generators c. Marine Steam Generators d. Forced-circulation Steam Boilers Water-Tube Boiler Circulation Principle from Francisco (2014) Figure 2.1. Water-Tube Boiler Circulation Principle from Francisco (2014) o Dryness Factor (or fraction) or Quality of steam – refers to the amount of steam in the mixture of water and steam at the riser. o Top Dryness Factor – applies to the mixture leaving the tubes. 34 Lesson 2. Boiler Ratings and Performance According to Francisco (2014) Boiler rating and performance can be evaluated by: Boiler Hp = equivalent to the generation of 34.5 lb/hr (15.44 kg/hr) from water at 212 °F (100 °C) to saturated steam also at 212 °F (100 °C). Energy of Evaporation lb Energy of Evaporation = (34.5)(hfg @ 212 °F) = (34.5 hr) (970.3 kg Btu lb ) ≈ 33 500 Btu/hr kJ Energy of Evaporation = (15.46)(hfg @ 100 °C) = (15.646 hr ) (2257 kg ) ≈ 35 314 kJ/hr Where, hfg = enthalpy of evaportion at 212 °F (100 °C) = 970.3 Btu lb = 2257 kJ/kg Therefore, 1 Bo Hp = 33 500 Btu/hr = 35 314 kJ/hr Boiler Horsepower, Bo Hp Bo. Hp = ms (h2 − h1 ) ms (h2 − h1 ) = 35 314 33 500 Where, ms = mass flow rate of steam, kg/hr, lb/hr h1 = enthalpy of feed water, kJ/kg, Btu/lb h2 = enthalpy of steam leaving the boiler, kJ/kg, Btu/lb Factor of Evaporation, FE Boiler Ouput, FE = , 2257 or 970.3 lb = h2 − h1 h2 − h1 = 2257 970.3 Equivalent Evaporation, Eq. Evap. Eq. Evap. = (F. E. )ms = kJ Btu kg Boiler Output, kJ/hr Boiler Output, Btu/ Hr = 2257 970.3 Rated Boiler Horsepower Rated Bo. Hp = Heat Transfer Area or Surface, m2 , or ft 2 k Where, k = 0.91 m2 /Bo. Hp = 10ft 2 /Bo. Hp → For water-tube boiler m2 K = 1.10 Bo . Hp = 12ft 2 /Bo. Hp → For fire-tube boiler Developed Boiler Horsepower ∑ ms (∆h) Boiler Output, kJ/hr Boiler Output, Btu/hr Dev. Bo. Hp = = = 35 314 or 33 500 35 314 33 500 35 Dev. Bo. Hp = (F. E. )(ms ) Eq. Evap. (F. E. )(ms ) Eq. Evap. = = = 15.646 15.646 34.5 34.5 Where, ∑ ms (∆h) = total heat transfer to cycle fluid in steam generator (boiler, superheater, heater, Economizer, reheater), kJ/hr, Btu/hr. Percent Rating Percent Rating = Dev. Bo. Hp Rated Bo. Hp Rating for Modern Steam Generators kW Rating = Steam Generated at Rated Capacity, kg/hr Over − all Station Steam Rate, kg/kw ∙ hr where, Steam Generated = kg/hr of steam at a given pressure and temperature and feed water temperature. Boiler Performance – the measure of boiler heat output, QB , in kJ/hr or Btu/hr a) QB = Based on the flow diagram b) QB = mF (HHV)EB c) QB = (Dev. Bo. Hp)( 35 314) d) QB = (Eq. Evap.)(2257) e) QB = (Rated Bo. Hp. ) ( % Rating 100 % or or QB = (Dev. Bo. Hp)(33 500) QB = (Eq. Evap.)(970.3) ) (35 314) or QB = (Rating Bo. HP) ( % Rating 100% ) (33 500) Where, QB = Boiler Output, kJ/hr, Btu/hr HHV =higher heating value of the fuel, kJ/kg, Btu/lb EB = boiler efficiency mF = mass flow rate of fuel, kg/hr, lb/hr Boiler Over-all Efficiency QB ) (100 %) QA Where, QB = Boiler output, kJ/hr, kJ/kg, Btu/hr, Btu/lb EB = ( QA = heat added or heat from the fuel, kJ/hr, Btu/hr = mF (HHV) New Over-all Boiler Efficiency 36 ƞB = ∑ ms (∆h) QB ′ (100%) = (100%) mF (HHV) mF (HHV) Where, QB ′ = heat absorbed by the boiler fluid less the amount of heat used for the boiler auxiliaries. Boiler and Furnace Efficiency EBF QB ⁄(1 − M − A − C ) ub ] (100 %) =[ HHV⁄ (1 − M − A) Where, M = moisture content of the fuel A = ash content of the fuel Cub = unburned carbon Grate Efficiency EG = kg combustible burned / kg fuel fired 1 − M − A − Cub ] (100 %) (100 %) = [ kg combustible / kg fuel fired 1−M−A Lesson 3.Steam Generator Heat Balance The fuel supplied to a furnace when completely burned releases its heating value. The energy primarily changes the feedwater pumped to the boiler into steam. All the heating value does not go to this useful purpose. These are some losses in the form of incomplete combustion, of flue gases leaving at high temperature, and of radiated and convected heat from the outside of the steam generator. An energy balance shows the distribution of the heating value of the fuel to the formation of steam and to the various losses (Francisco, 2014). Figure 2.2 Boiler Heat Balance 37 Useful Energy from Francisco (2014) Energy Absorbed by the steam generator fluid (or Useful Energy) Q1 = Ws (hg2 − hf1 ) + Wr (hg4 − hg3 ) + WB (hf2 − hf1 ) Where, Q1 = energy absorbed by the boiler fluid or the useful energy, kJ/kg fuel, Btu/lb fuel hg2 = enthalpy of steam leaving the boiler, kJ/kg, Btu/lb hf1 = enthalpy of feed water, kJ,kg, Btu/lb hf2 = enthalpy of water at boiler pressure, kJ/kg, Btu/lb hg4 = enthalpy of reheat steam leaving the steam generator, kJ/kg, Btu/lb hg3 = enthalpy of reheat steam entering the steam generator, kJ/kg, Btu/lb Ws = mass of steam from feedwater per unit mass fuel, kg/kg fuel, lb/lb fuel Wr = mass of reheated steam per unit mass fuel, kg/kg fuel, lb/lb fuel WB = mass of blowdown per unit mass fuel (often negligible), kg/kg fuel, lb/lb fuel Energy Losses from Francisco (2014) 1. Energy Loss due to mechanical moisture in fuel (or energy loss due to evaporating and superheating moisture in fuel) English Units: Q2 = W(1066 + 0.5t g − t a ) Q2 = W(1089 + 0.46t g − t a ) when t g > 575 °𝐹 when t g < 575 °𝐹 SI Units: Q2 = W(2479.81 + 20.935t g − 4.187t a ) Q2 = W(2533.31 + 1.92602t g − 4.187t a ) when t g > 302 °𝐶 when t g < 302 °𝐶 Where, Q2 = energy loss due to moisture content of the fuel as fired, kJ/kg fuel, Btu/lb fuel W = moisture content of the fuel, kg/kg fuel, lb/lb fuel t g = temperature of flue gas after passing all heat-transfer surfaces, °C, °F t a = temperature of air entering for combustion to the furnace or air heater, if the latter is used, °C, °F 2. Energy loss due to moisture from hydrogen in the fuel (or energy loss due to evaporating and superheating moisture formed by combustion of hydrogen) 38 English Units: Q3 = 9H2 (1066 + 0.5t g − t a ) Q3 = 9H2 (1089 + 0.46t g − t a ) when t g > 575 °𝐹 when t g < 575 °𝐹 SI Units: Q3 = 9H2 (2479.81 + 20.935t g − 4.187t a ) Q3 = 9H2 (2533.31 + 1.92602t g − 4.187t a ) when t g > 302 °𝐶 when t g < 302 °𝐶 3. Energy Loss due to moisture from air English Units: Q4 = 0.47 WAV (t g − t a ) SI Units: Q4 = 1.96789WAV (t g − t a ) Where, WAV = mass of moisture content n supp air per unit mass fuel, kg/kg fuel, lb/lb fuel WAV = (1 + e)Wa (g) Wa = theoretical air-fuel ratio, kg/kg fuel, lb/lb fuel g = humidity ratio of supply air, kg/kg d.a. ,lb/lbd.a. 3. Energy Loss due to dry flue-gas sensible heat English Units: Q5 = WDG cp (t g − t a ) = 0.24WDG (t g − t a ) SI Units: Q5 = WDG cp (t g − t a ) = 1.005WDG (t g − t a ) Where, WDG = mass of dry flue gas per unit mass fuel, kg/kg fuel, lb/lb fuel 4. Energy Loss due to incomplete combustion English Units: 39 Q6 = ( 28 CO ) (10187) 44CO2 + 28CO + 28N2 + 32O2 Q6 = 10160Ci = 10160Cab ( CO ) CO2 + CO SI Units: Q6 = ( 28 CO ) (4380) 44CO2 + 28CO + 28N2 + 32O2 Q6 = 23 631Ci = 23 631Cab ( CO ) CO2 + CO Note: CO and CO2 in the second equation must be an Orsat analysis (% by Volume) 5. Heat Loss due to Unburned Carbon English Units: Q7 = 14 600 (C − Cab ) Q7 = Wr (HHV)r SI Units: Q7 = 33 964 (C − Cab ) Q7 = Wr (HHV)r Where, Wr = mass of refuse, kg/kg fuel, lb/lb fuel (HHV)r= heating value of refuse 6. Heat Loss Due to radiation and Unaccounted-for Q8 = HHV − ∑ Q1−7 = HHV(Q1 + Q2 + Q3 + Q4 + Q5 + Q6 + Q7 ) 40 Assessment Task 2 Answer the following problems write your solution in engineering lettering. 1. In a water-tube boiler with 186 m2 of boiler heating surface and operating at 1.75 MPaa, water is fed at the rate of 2 268 kg/hr. Water enters the economizer at 56 °C and leave therefrom at 112 °C, while steam with 5 % moisture enters the superheater and leaves therefrom as superheated at the same pressure. Coal with a heating value of 28 000 kJ/kg is burned at a rate of 250 kg/hr. The gross over-all boiler efficiency is 80 %. The generated steam flows to a steam turbine through a well-insulated pipe along which the pressure drop is 0.10 Mpa and the steam temperature becomes 250 ° C. in the turbine, steam expands to a dry and saturated at 0.065 MPaa. Determine: a) The temperature of steam leaving the superheater b) The boiler heat losses per hour c) The equivalent evaporation d) The percent rating e) The weight of fuel saved in using the economizer per hour f) The weight of additional fuel used per hour in the superheater g) The energy loss per hour in the piping line h) The power plant generator output if the turbine generator combined efficiency is 88 % i) The power plant gross thermal efficiency. 2. A steam boiler has an actual evaporation rate of 8.23 kg/kg coal fired. Coal as fired contains 2 % moisture. Dry coal contains 5 % ash and has a heating value of 29 776 kJ/kg. During the test 12 % of coal fired is delivered from the ashpit as refuse. The steam leaving the boiler is saturated at a pressure of 0.70 MPaa and the temperature of feed water is 49 °C. Determine a) the boiler efficiency; b) the boiler-furnace efficiency; c) the grate efficiency. 3. A water-tube boiler having a heating surface of 325.23 m2 evaporates 6349.21 kg of water in an hour from a feed temperature of 66 °C. Boiler pressure is at 1.04 MPaa and the steam quality at the boiler outlet is 99 %. What percent of its rated Bo. Hp was the boiler developing? 41 4. A condenser receives 11 338 kg of steam per hour at 89 % dryness factor. Steam temperature in the condenser is 33 °C and free air at 101.325 kPaa and 15.56 °C leaks into the condenser at the rate of 0.51 𝑚 3/min. Determine the pressure in the condenser. Summary Steam Generator is a combination of apparatus for producing, furnishing, or recovering heat, together with apparatus for transforming to a working fluid the heat thus available (Francisco, 2014). The two types of boilers are fire tube boiler and water-tube boiler The fuel supplied to a furnace when completely burned releases its heating value. The energy primarily changes the feedwater pumped to the boiler into steam. All the heating value does not go to this useful purpose. These are some losses in the form of incomplete combustion, of flue gases leaving at high temperature, and of radiated and convected heat from the outside of the steam generator. An energy balance shows the distribution of the heating value of the fuel to the formation of steam and to the various losses (Francisco, 2014). Reference Francisco, Jose R. (2014). Lecture Notes in Industrial Plant Design, Lesson 9: Steam Generators p.g 152 to p.g 161. 42 MODULE 3 MECHANICAL DRYERS Introduction Drying is the process of removing moisture in varying amounts from solid or semi-fluid materials. This process may be accomplished by pressure, suction, decantation, or evaporation (Francisco, 2014). Learning Objectives At the end of this module, students should be able to: 1. Learn the different processes of drying; 2. Determine the different types of Dryer; and 3. Solve problems involving Mechanical Dryers. 43 Lesson 1. Mechanical Dryer Important Information for Mechanical Dryer from Francisco (2014): Dryer is machine or equipment used for drying process. Dewaterer is a machine or equipment used for dewatering process. Dewatering – is the common term for processes using only pressure, suction, or decantation. This process used to remove or reduce only a portion of the surface moisture of the materials. Evaporation is the main principle of the term drying process. In drying process, not only the surface liquid is removed or reduced but also removes internal moisture and in many cases water in chemical combination. Inherent moisture and bed moisture are the terms used for describing the moisture in the mass that is not on the surface of the material. Chemically combined water is that water occurring when a chemical component of the material changes its chemical composition by heat or other means. Parts of Continuous Drying Process from Francisco (2014) 1. Application of heat to the material and/or to the air mixture which carries away the moisture. 2. Means for removing the water vapor, steam, or mixture 3. Conveying the material in its wet, semi-dried, dried condition into, through, and out of the apparatus, allowing the material the proper time for contact with the heating and moistureremoving elements. Types of Dryer from Francisco (2014) 1. Direct-heat type dryer o This may have the flame from combustion impinging on the material being dried, or the gases of combustion may be mixed with additional air so that mixture in contact with the material is reduced in temperature. 2. Indirect-heat type dryer. o In this type, the gases of combustion pass through the spaces surrounding, or in other ways heating, the drying chamber, but the gases are not allowed in contact with the material being dried. 3. Steam-heated typed dryer o In this type, material is in contact with steam piped or the air is passed over steam heaters and then over or through the material being dried. 44 Six Commercial Types of Dryers and Three Materials Suitable for Each Dryers from Francisco (2014): 1. Rotary Dryer Materials: copra, sand, wood chips 2. Compartment Batch Dryer Materials: wood, enamel wares, foodstuffs 3. Centrifugal Dryer Materials: sugar, fertilizer, salt 4. Hearth Dryer Materials: copra, enamel wares, chalk 5. Tower Dryer Materials: palay, wheat, grains 6. Infrared Ray Dryer Materials: air conditioners, cars, refrigerators Hygroscopic Materials are those substances which are particularly variable in the moisture content that they can possess at different times (Francisco, 2014). o Example: wood, leather, foodstuff, paper, tobacco, cloth, hair Bone-Dry Weight (BDW) or Dry Bone Weight is the final constant weight reached by a hygroscopic substance after being dried out (Francisco, 2014). Regain is the hygroscopic moisture content of a substance expressed as a percentage of the dry-bone -weight of the material (Francisco, 2014). 𝐑𝐞𝐠𝐚𝐢𝐧 = 𝐖𝐞𝐢𝐠𝐡𝐭 𝐨𝐟 𝐌𝐨𝐢𝐬𝐭𝐮𝐫𝐞 𝐁𝐨𝐧𝐞 − 𝐝𝐫𝐲 − 𝐖𝐞𝐢𝐠𝐡𝐭 Moisture Content is usually expressed as a percentage of the gross weight of the body, and may refer to both hygroscopic and purely substance moisture (Francisco, 2014). 45 𝐌𝐨𝐢𝐬𝐭𝐮𝐫𝐞 𝐂𝐨𝐧𝐭𝐞𝐧𝐭 = 𝐖𝐞𝐢𝐠𝐡𝐭 𝐨𝐟 𝐌𝐨𝐢𝐬𝐭𝐮𝐫𝐞 𝐆𝐫𝐨𝐬𝐬 𝐖𝐞𝐢𝐠𝐡𝐭 Gross Weight: According to Francisco (2014): Gross Weight = Bone-Dry-Weight + Weight of Moisture 𝐦𝐆 = 𝐦𝐁𝐃𝐖 + 𝐦𝐌 Dryer Schematic Diagram Figure 3.1 below illustrates the schematic diagram of a dryer with conditioned air that passed through a CDA and re-heater (Francisco, 2014). Figure3.1 Dryer Schematic Diagram from Francisco (2014) Psychrometric Chart Of Drying Process Figure 3.2 below illustrates the different drying processes in the psychrometric chart (Francisco, 2014). 46 Figure 3.2. Psychrometric Chart of Drying Processes from Francisco (2014) SAMPLE PROBLEMS from Francisco (2014) 1. Copra enters a dryer, containing 60 % water and 40 % solids, and leaves with 5 % water and 95 % solids. Find the mass of water removed on each: a) kilogram of original product; b) kilogram of final product; and c) kilogram of Bone-dry material. Given: Copra Dryer Figure 3.3 Copra Dryer from Francisco (2014) Required: The weight of water removed based on each a) Kilogram of original product b) Kilogram of final product c) Kilogram of bone-dry material Solution: Consider the following notations MBD1 = mass of bone-dry material of the original or wet product (copra) MBD2 = mass of bone-dry material of the final or dried product (copra) 47 MC1 = moisture content of the original or wet product MC2 = moisture content of the final or dried product MG1 = gross mass of the original or wet product MG2 = gross mass of the final or dried product a. Consider 1 kg of original product or wet feed Solving for the gross weight of the final product, MBD = MG (1 − MC) = MG (Solid Part)MBD1 = MBD2 MG1 (1 − MC1 ) = MG2 (1 − MC2 )MG2 = MG1 (1−MC1 ) (1−MC2 ) = 1.0(0.40) 0.95 = 0.421 kg For the mass of water removed, ∆GW, MV = MG1 − MG2 = 1.0 − 0.421 = 𝟎. 𝟓𝟕𝟗 𝐤𝐠 b. Consider 1 kg of final or dried product MBD1 = MBD2 MG1 (1 − MC1 ) = MG2 (1 − MC2 ) MG1 = MG2 (1 − MC2 ) 1.0(0.95) = = 2.375 kg (1 − MC1 ) 0.40 For the mass of water removed, MV = MG2 − MG1 = 2.375 − 1.00 = 𝟏. 𝟑𝟕𝟓 𝐤𝐠 c. Consider 1.0 kg of the bone-dry material, MBD1 = MBD2 = 1.0 1.0 1.0 MG1 = = = 2.5 kg 1 − MC1 0.40 1.0 1.0 = = 1.053 kg 1 − MC2 0.95 For the weight of water removed, MV = MG2 − MG1 = 2.5 − 1.053 = 𝟏. 𝟒𝟒𝟕 𝐤𝐠 MG2 = 2. A tower-type moisture dryer is to deliver 1000 kg/hr of cassava flour with 2 % residual moisture of 20 % in the feed. The air to be heated in the heating chamber is a mixture of fresh air at 33 °C DB and 60 % RH, and hot humid air from dryer at 49 °C DB and 60 % RH. The mixture at 38 °C and 65 % RH is heated by a steam coil to 93 °C. The dryer is properly insulated so that moisture absorption can be considered adiabatic. Compute: 48 a. Required flow of heated air mixture to dryer; b. Capacity of forced draft fan on dryer c. Heat in kcal/hr for heating the air mixture in the heating chamber d. Percentage by weight of fresh air in the mixture. Given: Drying System Shown Figure 3.4 Drying System from Francisco (2014) Required: a. The 𝑚𝑎3 = 𝑚𝑎4 b. The fan capacity, 𝑚 3 /𝑠 c. The heat capacity of the heating chamber, kcal/hr d. The % outdoor air required 49 Figure 3.5 Temperature from Francisco (2014) Solution: a. Determination of the mass flow rate of the heated air Figure 3.6 Drying System mass flow rate from Francisco (2014) Consider the dryer and using mass balance, ma + ma (W3 ) + m5 = ma + ma (W4 ) + m6 ma (W3 ) + m5 = ma (W4 ) + m6 → ma (W4 − W3 ) = m5 − m6 ma = m2 − m6 W4 − W3 Where, m5 = gross mass of material entering the dryer m6 = gross mass of material leaving the dryer Solving for the bone-dry-mass of the material, Gross mass = bone-dry-mass + mass of moisture m6 = BDM + 0.02m6 50 Then, BDM = m6 − 0.02 m6 = m6 (1 − 0.02) = 0.98 m6 = 0.98 (1000) BDM = 980 kg/hr Solving for the gross mass of material entering. BDM = m5 − 0.20 m5 = m5 (1 − 0.20) = 0.80 m5 m5 = BDM + 0.20 m5 ma = BDM 980 = = 1225 kg/hr 0.80 0.80 From the Psychrometric Chart (Carrier), At point 1: 33 °C DB and 60 % RH, h1 = 82.3 − 0.32 = 81.98 kJ/kg da; &W1 = 0.0192 kg/kg da At point 2: 38 °C DB and 65 % RH, h2 = 109 − 0.36 = 108.64 kJ/kg da; &W2 = 0.0275 kg/kg da At point 3: 93 °C DB and W3 = W2 = 0.0275 kg/kg da h3 = 1.007(93) − 0.026 + 0.0275[2501 + 1.84(93)] = 167.01 kJ/kg da At point 4: 49 °C DB and 60 % RH, pv4 = RH(pd ) Where, pd = 11.749 kPaa (from Steam Tables by Keenan at 49 °C) pv4 = 0.60 (11.749) = 7.0494 kPaa Then, W4 = ( pv4 7.0494 ) = (0.622) ( ) pt − pv4 101.325 − 7.0494 = 0.0465 kg/kg da h4 = 1.007 t 4 − 0.026 + W4 (2501 + 1.84 t 4 ) h4 = 1.007 (49) – 0.026 + 0.0465 [2501 + 1.84 (49)] = 169.715 kJ/kg da therefore, ma = m5 − m6 1225 − 1000 = = 11842.11 kg/hr W4 − W3 0.0465 − 0.0275 ma = 3.29 kg/s 51 b. For the capacity of the forced-draft fan, Q3 = ma (v3 ) W3 (pt ) 0.0275 (101.325) where, pv3 = = = 4.2901 kPaa W3 + 0.622 0.0275 + 0.622 v3 = RT6 (0.28708)(93 + 273) = = 1.0828 m3 / kg da pt − pv3 101.325 − 4.3901 c. For the heat added to the heating chamber, consider the heating chamber Figure 3.7 Drying System heating chamber from Francisco (2014) qh = ma (h3 − h2 ) − (3.29)(167.01 − 101.64) = 192.04 kW But, 1 kcal = 4.187 kJ 1 kcal qh = 192.04 kW ( ) (3 600 sec/ hr) = 165 116.79 kCal/hr 4.187 kJ d. For the % by weight of fresh air in the mixture, consider junction 1-4-2 Figure 3.8 Drying System from Francisco (2014) By energy balance, m1 h1 + m4 h4 = m2 h2 52 Where, m4 = m2 − m1 m1 h1 + (m2 − m1 )h4 = m2 h2 → m1 h1 + m2 h4 − m1 h4 = m2 h2 m1 (h1 − h4 ) = m2 (h2 − h4 ) Then, % by weight of m1 = m1 m2 (100 %) = % by weight of m1 = h2−h4 h1−h4 (100 %) 108.64 − 169.715 (100 %) = 69.61 % 81.98 − 169715 #3. Wet material containing 215 % moisture (dry basis) is to be dried at the rate of 1.5 kg/s in a continuous dryer to give a product containing 5 % moisture (wet basis). The drying medium consist of air heated to 373 K and containing water vapor equivalent to a partial pressure of 1.40 kPaa. The air leaves the dryer at 310 K and 70 % RH. Calculate how much air will be required to remove the moisture. Given: Dryer shown Figure 3.8 Dryer from Francisco (2014) Required: Find the required air to remove the moisture. Solution: Consider the dryer and solving for the bone-dry-mass m3 = BDM + 2.15 BDM = 3.15 BDM BDM = m3 1.5 = = 0.476 kg/s 3.15 3.15 Solving for the mass of the material leaving the dryer, m4 = BDM + 0.05 m3 BDM = (1 − 0.05) m4 = 0.95 m4 53 m4 = BDM 0.476 = = kg/s 0.95 0.95 Solving for the mass of air required, using mass balance ma + ma (W1 ) + m3 = ma + ma (W3 ) + m4 ma (W2 − W1 ) = m3 − m4 ; → ma = m3 − m4 W2 − W1 NOTE: Student is advised to complete the solution Assessment Task 3 1. A dryer is to deliver 0.30 kg/s of cassava with 2 % moisture and 20 % moisture in the feed. Determine the mass of air required if the change in humidity ratio is 0.0165 kg/kg da. 2. A certain material enters dryer containing 60 % water and leaves with 5 % water. Find the mass of the final product if the original product is 1 kg/s. 3. Copra enters a dryer containing 60 % water and 40 % solids and leaves with 5 % water and 95 % solids. Find the weight of water removed based on a kg of original product. 4. A rotary dryer fired with bunker oil of 10 000 kcal/kg higher heating value is to produce 20 metric tons/hr of dried sand with 0.5 % moisture from a wet feed containing 7 % moisture, specific heat of sand is 0.21 Btu/lb-°F. Temperature of wet sand is 30 °C and temperature of dried product is 115 °C. a. Calculate the weight of the wet feed b. Calculate the weight of water to be removed in kg/hr c. Calculate the heat required d. Calculate the liters of bunker oil per hour if specific gravity of bunker oils is 0.90 and dryer efficiency is 60 %. Summary 54 Drying is the process of removing moisture in varying amounts from solid or semi-fluid materials. This process may be accomplished by pressure, suction, decantation, or evaporation (Francisco, 2014). Dryer is machine or equipment used for drying process. Evaporation is the main principle of the term drying process. In drying process, not only the surface liquid is removed or reduced but also removes internal moisture and in many cases water in chemical combination. Inherent moisture and bed moisture are the terms used for describing the moisture in the mass that is not on the surface of the material. Chemically combined water is that water occurring when a chemical component of the material changes its chemical composition by heat or other means. Reference Francisco, Jose R. (2014). Lecture Notes in Industrial Plant Design, Lesson 6: Mechanical Dryers, p.g 90 to p.g 100. 55