MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ SUMMER – 2023 EXAMINATION Model Answer – Only for the Use of RAC Assessors Subject Name: Thermal Engineering. Subject Code: 22337 Important Instructions to examiners: 1) The answers should be examined by key words and not as word-to-word as given in the model answer scheme. 2) The model answer and the answer written by candidate may vary but the examiner may try to assess the understanding level of the candidate. 3) The language errors such as grammatical, spelling errors should not be given more Importance (Not applicable for subject English and Communication Skills. 4) While assessing figures, examiner may give credit for principal components indicated in the figure. The figures drawn by candidate and model answer may vary. The examiner may give credit for any equivalent figure drawn. 5) Credits may be given step wise for numerical problems. In some cases, the assumed constant values may vary and there may be some difference in the candidate’s answers and model answer. 6) In case of some questions credit may be given by judgement on part of examiner of relevant answer based on candidate’s understanding. 7) For programming language papers, credit may be given to any other program based on equivalent concept. 8) As per the policy decision of Maharashtra State Government, teaching in English/Marathi and Bilingual (English + Marathi) medium is introduced at first year of AICTE diploma Programme from academic year 2021-2022. Hence if the students write answers in Marathi or bilingual language (English +Marathi), the Examiner shall consider the same and assess the answer based on matching of concepts with model answer. Q. No. Sub Q. N. 1. Answer Marking Scheme Attempt any Five of the following : (5x2=10) 10 Marks 2 Marks a) Define and Give one example of each i) Energy ii) Work Ans i) Energy : Energy is capacity to do the work and it is stored in the substance by means of mechanical, electrical, chemical or internal energy. ½ Marks e.g. Dry Battery stores energy by means of chemical energy flywheel stores mechanical for Each Defination energy. &½ ii) Work : Work is said to be done when a force moves through a distance. OR Work done Marks for each is the product of the force and the distance it moves in the direction of force. Exapmple Work done = Force × Distance e.g. piston moves under the action of force in the cylinder. Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ SUMMER – 2023 EXAMINATION Model Answer Subject Name: Thermal Engineering Q. Sub No. Q. N. 1. b) Subject Code: Answer 22337 Marking XXXXX Scheme Reprsent Isentropic process on P-V and T-S Diagram 2 Marks Ans 1 Marks for P-V Diagram and 1 Marks for T-S Diagram c) A Sample of 10 kg of wet steam contains 0.5 kg of water , which is in suspension . Find its Dryness fraction Ans 1 Marks for formula 1 Mark for Answer Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 1. d) What is the compounding of steam turbine ?. 2 Marks Ans Compounding of steam turbines is the method in which energy from the steam is extracted in a number of stages rather than a single stage in a turbine. 2 Marks A compounded steam turbine has multiple stages i.e. it has more than one set of nozzles and rotors, in series, keyed to the shaft or fixed to the casing, so that either the steam pressure or the jet velocity is absorbed by the turbine in number of stages. e) Write continuity equation of nozzle. Ans Flow energy Equation 2 Marks For Nozzle 1 mark 1 mark f) Ans Draw neat sketch of induced draught cooling tower 2 Marks 1 Mark for drawing and 1 Mark for Labelling Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 1. g) Define and write unit of following i) Absolute Temperature ii) Heat Ans i) Absolute Temperature : Absolute temperature, also called thermodynamic temperature, is the temperature of an object on a scale where 0 is taken as absolute zero. Units are Kelvin and Rankine. 2 Marks 1 Mark for ii) Heat : Heat is the form of energy that changes the temperature of any substance. Heat definition involves the transfer of energy from an object or an energy source to another medium or and 1 Mark for Unit an object. Unit is Joules 12 Marks Attempt any THREE of the following : (3X4=12) 2. a) Ans Explain the first law of thermodynamic with an example 4 Marks Definition : When a system undergoes a thermodynamic cycle, then the net heat supplied to the system from the surroundings, is equal to net work done by the system on its surroundings. ∮ dW = ∮ dQ where, ∮ represents the sum for a complete cycle. • Heat and work are mutually convertible but the total energy remains constant as 2 Marks for Explanation per law of conservation of energy. • No machine can produce energy without corresponding expenditure of energy. • It is impossible to construct a perpetual motion machine of first kind. e.g. Heat Engine. In a heat engine, the thermal energy is converted into mechanical 2 Marks for Example energy, and the process also is vice versa. Heat engines are mostly categorized as open systems. The basic working principle of a heat engine is that it makes use of the different relationships between heat, pressure and volume of a working fluid which is usually a gas. Sometimes phase changes might also occur involving a gas to liquid and back to gas. b) Write statement of following laws and write equation of it. i) Ideal Gas law ii) Boyle’s 4 Marks law iii) Charle’s Law Ans i) Ideal Gas Law An ideal gas is defined as a gas having no forces of intermolecular attraction. The gases which follow the gas laws at all ranges of pressures and temperatures are considered as Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ ‘ideal gases’. PV = RT where, P → Pressure of gas, V → Volume of gas, R → Constant ,T → Temperature of gas ii) Boyle’s law It states that volume of a given mass of a perfect gas varies inversely as the absolute pressure when temperature is constant. 1 Marks for each Mathematically, If P is the absolute pressure of the gas and V is the volume occupied by definition the gas and 1 Mark for equation ∴ PV = constant If a gas changes its volume from V1 to V2 and pressure changes from P1 to P2 at constant temperature P1V1 = P2 V2 = constant iii) Charle’s law Statement: If the pressure of the gas is maintained constant, during a process, the volume of gas varies directly with the absolute temperature. i. Mathematically Pressure (P) = constant V ∝ T (Volume ∝ Temperature) ∴ V/T = constant If a gas changes its volume from V1 to V2 and absolute temperature from T1 to T2 without change in pressure, then V1/T1 = V2/T2 2. c) 4 Marks Represent the following processes on P-V , T-S , H-S diagram i) In a constant volume process A-B , Initial condition of steam is superheated and final condition is wet ii) In a constant volume process B-C , Initial condition of steam is wet and final condition is liquid Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Ans i) In a constant volume process A-B , Initial condition of steam is superheated and final condition is wet 2 Marks ii) In a constant volume process B-C , Initial condition of steam is wet and final condition is liquid 2 Marks Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 2. d) Ans 4 Marks Explain the working of Babcock and Wilcox Boiler with neat sketch 2 Marks for diagram • • • • • Babcock and Wilcox boiler: Babcock and Wilcox is a water-tube boiler is an example of horizontal inclined tube boiler it also a High Pressure Boiler. Working: The fire door the fuel is supplied to grate where it is burnt. The hot gases are forced to move upwards between the tubes by baffle plates provided. 2 marks for The water from the drum flows through the inclined tubes via down take header working and goes back into the shell in the form of water and steam via uptake header. The steam gets collected in the steam space of the drum. The steam then enters through the anti priming pipe and flows in the super heater tubes where it is further heated and is finally taken out through the main stop valve and supplied to the Steam turbine or Steam engine when needed. 12 Marks Attempt Any THREE of the following. (3X4=12) 3. Define Mach Number. How it affects the performance of steam nozzle.? a) • It is the ratio of velocity of fluid to the sonic velocity of compressible fluid M=V/a Where, 2 Marks M= Mach number V=Velocity of fluid a=Sonic velocity Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Significance of Mach number in performance of steam nozzle: Depending on value of Mach number type of flow in nozzle is decided 3. b) • M<1 subsonic nozzle, flow is called subsonic • M>1 supersonic nozzle, flow is called supersonic • M=1 subsonic and supersonic nozzle, flow is called sonic 2Marks Explain Construction and working of Steam Turbine 2 Marks for Sketch Pressure velocity variation in Impulse turbine Working of Impulse Turbine: • The impulse turbine consists of one set of Nozzle followed by one set of moving blades as shown in above figure. • In Impulse turbine power is developed by impulsive force of high velocity steam jet on moving blade • Steam from boiler enters in nozzle ring of impulse turbine where, high velocity jet is obtained by expansion of steam in nozzle ring. 2 Marks for explanation High velocity steam jet then passed through moving blade ring with no pressure drop but gradual reduction in velocity. • Moving blades changes direction of steam jet thus the momentum of jet which Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ rotates the shaft. 3. c) 2 Marks 2 Marks Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 3. d) 2 Marks 2 Marks 4. Attempt Any THREE of the following. (3X4=12) a) 12 Marks Define Vacuum. How it is necessary to operate condensers? Vacuum: The term "vacuum" is used to describe the zone of pressure below atmospheric pressure. Vacuum is a negative gauge pressure, usually referenced to the 2 Marks existing standard barometric pressure where the equipment will operate. Necessity of vacuum to operate condensers: Primary Function Of condenser: Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ • • The primary function of condenser to increase mechanical work done developed by turbine in thermal power plant. 2 Marks Due to vacuum in condenser, it can maintain low back pressure on exhaust side of steam turbine, due to which steam is expanded to greater extent, which results in increase in available energy for converting into mechanical work done. 4. b) 4 Marks (Schematic representation with details of heat and work interaction) Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 4. c) 2 Marks 2Marks 4. d) Explain Construction and working of Shell and Tube Type heat exchanger. Write its different industrial applications. • Shell and tube heat exchanger is the most widely used heat exchanger and is among the most effective means of heat exchange. • Shell and tube heat exchanger is a device where two working fluids exchange heat by thermal contact using tubes housed within a cylindrical shell. • The fluid temperature inside the shell and tube are different and this temperature difference is the driving force for temperature exchange. • Used for wide temperature and pressure ranges, Shell and tube heat exchangers are 2 Marks compact in design, easy to construct and maintain and provide excellent heat exchange. Main Components of Shell And tube Type Heat Exchanger: Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 1. Shell 2. Tube Bundle 3. Front and Rear Headers of Shell 4. Baffles 2 Marks Industrial Applications of Shell and Tube type Heat Exchanger: • Power Generation. • HVAC. • Marine Applications. Refrigeration, Pharmaceuticals, Metals and Mining 4. e) Explain the Throttling Process with neat Sketch. 2 Marks 2 Marks Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 5. Attempt any TWO of the followings: (2X6=12) a) 12 Marks Describe the construction and working of i) Impulse turbine ii) Reaction turbine Solution: Impulse Turbine: It is commonly used in thermal power plants. In Impulse turbine Nozzle is used to convert high pressure steam in to high velocity steam. The construction of an Impulse turbine involve the following components: 1. Nozzle: The nozzle is a convergent-divergent type through which high-pressure steam flows. It converts the pressure energy of the steam into kinetic energy. 2. Moving Blades: The high-velocity steam from the nozzle impacts the moving blades. These blades are mounted on a wheel and they are cup shaped. The steam imparts a force on the blades, causing them to rotate. 3. Stationary Blades: The stationary blades, also known as nozzle guide vanes, are arranged in a circular casing around the moving blades. 4. Casing: The casing encloses the turbine and provides support to the blades. 3 Marks Working Principle of Impulse Turbine: 1. High-pressure steam is admitted into the nozzle, where it undergoes a pressure drop and accelerates to a high velocity. 2. The high-velocity steam jet strikes the moving blades of the turbine, causing them to rotate. 3. As the steam impinges on the moving blades, its kinetic energy gets converted into mechanical work. The steam's velocity decreases, and its pressure remains relatively constant. 4. The rotation of the moving blades drives a shaft connected to a generator, converting the mechanical work into electrical energy. Reaction Turbine: The reaction turbine is another type of steam turbine used in thermal power plants. In this pressure drop of steam takes place in blades. The construction and working of a reaction turbine involve the following components: 1. Fixed Blades (Guide Vanes): The fixed blades, also known as guide vanes or nozzles, are fixed in the turbine casing and serve to control the flow of steam. They are designed to gradually expand the steam and convert its pressure energy into kinetic energy as it passes 3 Marks through them. 2. Moving Blades (Rotor Blades): The moving blades, also called rotor blades, are attached to a rotor or wheel. They are designed to extract the kinetic energy of the steam and convert it into mechanical work. 3. Casing: The casing encloses the turbine and provides support to the blades. Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ The working of a reaction turbine involves the following steps: 1. High-pressure steam enters the turbine through fixed blades or guide vanes. These vanes gradually expand the steam and convert its pressure energy into kinetic energy. 2. The steam then passes through the moving blades or rotor blades, where it imparts a force on the blades and causes them to rotate. 3. As the steam passes through the moving blades, both its kinetic energy and pressure energy are converted into mechanical work. The steam's pressure and velocity decrease gradually. 4. The rotation of the moving blades drives a shaft connected to a generator, converting the mechanical work into electrical energy. The initial condition of steam is 100% dry at 10 bar pressure. It expands to 1.00 bar by PV= C. find i) find saturation temperature ii) Quality of steam 5. b) Solution: Use steam table Properties of steam at 10 bar pressure using Steam table Temperature (T1) = 179.9 0C Specific volume (V1) = 0.3118 m3/kg (superheated steam) Now use equation P.V = C Therefore P1V1 = P2V2 10 * 0.3118 = 1 * V2 V2 = 3.118 m3/kg 2 Marks Using steam table saturation temperature corresponding to 1 bar Therefore Saturation Temperature T5 = 100 0C 2 Marks To determine quality of steam at 1 bar Specific volume of saturated liquid (Vf) = 0.001043 m3/kg Specific volume of saturated vapour (Vg) = 1.6728 m3/kg Now to find quality of Steam X = (V2 – Vf ) / (Vg - Vf) X = (3.118 – 0.001043) / (1.6728 – 0.001043) X = 1.864 2 Marks Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 5. c) An outer wall of office consists of 20 cm layer of brick. It is followed by 4 cm layer of gypsum plaster and 6 cm of rockwool insulation. Estimate quantity of heat transfer through wall. Take thermal conductivity of brick = 0.7 W/(m.k.) thermal conductivity of gypsum plaster = 0.5 W/(m.k.) thermal conductivity of insulation = 0.065 W/(m.k.) Solution: To estimate the quantity of heat transfer through the wall, we can use the concept of thermal resistance. The formula for thermal resistance is: R=L/k Let's calculate the thermal resistance for each layer of the wall: Brick layer: L1 = 20 cm = 0.2 m k1 = 0.7 W/(m·K) R1 = 0.2 / 0.7 = 0.2857 m²·K/W 2 Marks Gypsum plaster layer: L2 = 4 cm = 0.04 m k2 = 0.5 W/(m·K) R2 = 0.04 / 0.5 = 0.08 m²·K/W Rockwool insulation layer: L3 = 6 cm = 0.06 m k3 = 0.065 W/(m·K) R3 = 0.06 / 0.065 = 0.9231 m²·K/W The total thermal resistance is the sum of the individual thermal resistances: Total thermal resistance = R1 + R2 + R3 = 0.2857 + 0.08 + 0.9231 = 1.2888 m²·K/W 2 marks Once we have the thermal resistance of the wall, we can calculate the heat transfer (Q) through the wall using the formula: Q = (ΔT) / Total Thermal resistance Note: Since T1 and T2 temperatures are not given in question , students can assume any value of T1 and T2. Accordingly marks can be awarded. Let’s assume outside temperature of office 30 0C and inside Temperature of office 20 0C. (student can assume suitable inside and outside temperature) Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ T1 = 30+273 = 303 K and T2 = 20 + 273 = 293 K Therefore Q = ( 303 – 293 ) / 1.2888 2 Marks Q = 10 / 1.2888 Q = 7.76 W 12 Marks Attempt any TWO of the followings: (2X6=12) 6. a) Write modes of heat transfer. Explain each with suitable example and neat sketch. Solution: The three modes of heat transfer are conduction, convection, and radiation. Conduction: Conduction is the transfer of heat through a solid or between objects in direct physical contact. In this mode, heat is transferred by the collision of particles within the material. The particles with higher energy (temperature) transfer their energy to neighboring particles with lower energy. 2 marks Example: Consider a metal rod being heated at one end. The heat conducted through the rod will gradually increase the temperature of the other end. This can be observed when one end of a metal rod is placed in a flame. The heat conducts through the rod, making the other end hot as well. Convection: Convection is the transfer of heat through the movement of fluids (liquids or gases). It involves the transfer of heat through the actual movement of the fluid, carrying thermal energy from one location to another. 2 marks Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Example: A pot of water being heated on a stove demonstrates convection. As the water at the bottom of the pot absorbs heat, it becomes less dense and rises to the top. This creates a circular flow called convection current. The heated water near the bottom transfers heat to the cooler water near the top, leading to the overall heating of the entire pot. Radiation: Radiation is the transfer of heat through electromagnetic waves. Unlike conduction and convection, radiation does not require a medium for heat transfer. It can occur in a vacuum or through transparent media. 2 Marks Example: The sun heating the Earth through space is an example of radiation. The sun emits electromagnetic waves, including infrared radiation, which travel through the vacuum of space and reach the Earth. These waves are absorbed by the Earth's surface, converting radiation into heat energy.. Describe construction and working of forced circulation cooling tower. 6. b) Solution: In a thermal power plant, a forced circulation cooling tower is an essential component for efficient heat dissipation. It helps in cooling the circulating water that Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ absorbs heat from the condenser, ensuring the thermal efficiency and proper functioning of the power plant. The construction and working of a forced circulation cooling tower in a thermal power plant involve the following components: 2 Marks A forced circulation cooling tower in a thermal power plant consists of a Tower structure, Cooling water basin, Cooling water pumps, Spray nozzles or Distribution system, Fill media and Air circulation system with Fans or Blowers. 2 Marks Working: 1. 2. 3. 4. 5. 6. 7. 8. Cooling water is extracted from the condenser and circulated by pumps. The water is distributed over the fill media using spray nozzles or a distribution system. As the water flows over the fill media, it comes into contact with the air drawn in by fans or blowers. Heat is transferred from the water to the air through evaporation, cooling the water. Warm, moisture-laden air is discharged from the tower by fans or blowers. Cooled water collects in the basin and is recirculated to the condenser or heat exchangers. Control mechanisms regulate water flow, fan speed, and other parameters for optimal cooling efficiency and temperature control. The forced circulation cooling tower efficiently cools the circulating water, maintaining the thermal efficiency and proper functioning of the thermal power plant. 2 Marks Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 6. c) Classify parallel flow and counter flow heat exchangers with respect to parameters i) Definition, ii) Flow of fluids, iii) Capacity, iv) Maintenance, v) Applications, vi) Cost Solution: Sr. No. 1 Parameters Definition 2 Flow of Fluids Parallel Flow Heat Exchangers In a parallel flow heat exchanger, both the hot and cold fluids flow in the same direction. The hot and cold fluids flow in the same direction, with the hot fluid entering at one end and the cold fluid entering at the other end. Parallel flow heat exchangers generally have lower heat transfer efficiency compared to counter flow heat exchangers. 3 Capacity 4 Maintenance Parallel flow heat exchangers are relatively easier to clean and maintain compared to counter flow heat exchangers. 5 Applications They are used in some HVAC systems, air conditioning units, and low-temperature heat transfer processes. 6 Cost Parallel flow heat exchangers are generally less expensive to manufacture and install compared to counter flow heat exchangers due to their simpler design. Counter Flow Heat Exchangers In a counter flow heat exchanger, the hot and cold fluids flow in opposite directions. The hot and cold fluids flow in opposite directions, with the hot fluid entering at one end and the cold fluid entering at the other end. Counter flow heat exchangers generally offer higher heat transfer efficiency compared to parallel flow heat exchangers. Counter flow heat exchangers can be more challenging to clean and maintain compared to parallel flow heat exchangers. They are commonly found in power plants, chemical processes, refrigeration systems, and hightemperature heat transfer applications. Counter flow heat exchangers tend to be more expensive to manufacture and install compared to parallel flow heat exchangers. Their design complexity. 1 Mark for each point ----------------------------------------XXXX END XXXX--------------------------------------- Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Page No: ____/ N 2022 SUMMER 21222 3 Hours / 70 Marks 22337 Seat No. 15 minutes extra for each hour Instructions – (1) All Questions are Compulsory. (2) Answer each next main question on a new page. (3) Illustrate your answers with neat sketches wherever necessary. (4) Figures to the right indicate full marks. (5) Assume suitable data, if necessary. (6) Use of Non-programmable Electronic Pocket Calculator is permissible. (7) Use of Steam tables, logarithmic, Mollier's chart is permitted. (8) Mobile Phone, Pager and any other Electronic Communication devices are not permissible in Examination Hall. Marks 1. Attempt any FIVE of the following 10 a) List the factors making the process irreversible. b) List any two assumptions for ideal gas. c) State the function of i) Superheater ii) Blow off cock d) Recite the significance of Mach number. e) Define critical pressure in nozzle. f) State the functions of condenser. g) Define thermal conductivity and State its unit. P.T.O. 22337 [2] Marks 2. Attempt any THREE of the following 12 a) Write steady flow energy equation and apply it to turbine and condenser. b) Differentiate between adiabatic and isothermal process. (Four points) c) Draw P-V and T-S diagram of Rankine cycle and list the processes involved in it. d) Determine if the steam is wet or superheated and calculate the dryness fraction or the superheated steam temperature for P = 8 bar and V = 0.28 m3/kg. 3. Attempt any THREE of the following 12 a) Describe with neat sketch nozzle control governing. b) Classify turbines in details. c) One Kg of air initially at 1 bar and 156°C is compressed isothermally till the volume is reduced to 0.28 m3. Determine the work done and change in internal energy. d) Recite the steps involved in energy conservation of boilers. 4. Attempt any THREE of the following a) The partial absolute pressure in the condenser is 11.56 KPa when the barometer reads 1 bar. The condenser temperature is 40°C. Calculate partial pressure of air and vacuum efficiency. b) 0.44 Kg of gas having a volume 0.28 m3 and a pressure of 1.4 bar is compressed to a pressure of 14 bar according to pv1.3 = C. Find the change of internal energy. Cp = 1.041 KJ/Kg-k Cv = 0.743 KJ/Kg-k c) A quantity of gas occupying 0.14 m3 at a pressure of 1400 KPa and 300°C is expanded isentropically to 280 KPa calculate i) Final temperature and ii) Work transfer 12 22337 [3] Marks d) Define natural and forced convection and give two examples of each. e) Classify condensers in details. 5. Attempt any TWO of the following 12 a) Explain with neat sketch bleeding of steam. State its advantages. b) Explain with neat sketch automotive heat exchanger. c) Draw a schematic diagram of Mollier chart and list its features. 6. Attempt any TWO of the following a) A refrigerator is loaded with fresh food and door is closed. After some period, machine consumes 1.25 KWh of electrical energy and internal energy of food items decreases by 4500 KJ. Calculate the magnitude and direction of heat transfer for the steam. b) State the purpose of cooling tower and describe with neat sketch natural draught cooling tower. c) Sheets of brass and steel each 10 mm thick are placed in contact. The outer surface of brass is kept at 100°C and outer surface of steel is kept at 0°C. Estimate the temperature of common interface if thermal conductivities of brass and steel are in the ratio of 2:1. 12 WINTER 2022 12223 3 Hours / 70 Marks Instructions – 22337 Seat No. (1) All Questions are Compulsory. (2) Answer each next main Question on a new page. (3) Illustrate your answer with neat sketches wherever necessary. (4) Figures to the right indicate full marks. (5) Assume suitable data, if necessary. (6) Use of Non-programmable Electronic Pocket Calculator is permissible. (7) Mobile Phone, Pager and any other Electronic Communication devices are not permissible in Examination Hall. (8) Use of Steam tables, logarithmic, Mollier’s chart is permitted. Marks 1. Attempt any FIVE of the following: 10 a) Define Gray body. b) Represent Isochoric process on P-V and T-S chart. c) State the function of :– (i) Economiser (ii) Fusible plug. d) List four applications of nozzle. e) What is the necessity of compounding of steam turbine? f) State Dalton’s Law of partial pressure. g) State Fourier’s Law of heat conduction. P.T.O. 22337 [2] Marks 2. Attempt any THREE of the following: 12 a) State extensive property and intensive property with two examples of each. b) 2 kg of gas at 50°C is heated at constant volume until the pressure is doubled. Determine: (i) Final temperature. (ii) Change in internal energy. Take Cv = 0.718 kJ/kgK. c) State the main features of Indian Boiler Regulation. (IBR) d) Explain the working of Cochran boiler with neat sketch. 3. Attempt any THREE of the following: 12 a) Define and state significance of Mach number. b) Explain the working of impulse steam turbine with neat sketch. Also show pressure and velocity variation for the same. c) A gas at 7 bar and 400 k occupies a volume of 0.2m3. The gas expands according to the law PV1.5 = C upto pressure of 1.5 bar. Determine work transfer. d) Wet steam at 10 bar pressure having total volume of 0.125 m3 and enthalpy content is 1800 kJ. Calculate mass and dryness fraction of steam. 4. Attempt any THREE of the following: a) Differentiate between natural draught and forced draught cooling tower. b) A quantity and 300°C Calculate. (i) Final (ii) Work of gas occupying 0.14 m3 at a pressure of 1400KPa is expanded isentropically to 280 KPa. temperature and transfer. c) A balloon is considered to be sphere of 10m diameter. The balloon is filled with hydrogen at 25°C and at atmospheric pressure. The temperature of the surrounding air is 20°C and at atmospheric pressure. Determine the load which can be lifted by the balloon. 12 22337 d) State (i) (ii) (iii) (iv) [3] Marks :– Fourier’s Law. Thermal conductivity. Newton’s Law of cooling. Radiation. e) Draw a neat sketch of surface condenser and label it. 5. Attempt any TWO of the following: 12 a) Explain with neat sketch Regenerative feed heating. State its advantages. b) A refrigerator wall is constructed with two metallic plates 2mm. thick with 5cm. of glass wool insulation between them. Find the heat transfer per m2 of area if inner and outer surface temperature are –10°C and 40°C. Assume thermal conductivity of metallic plates and glass wool are 50 W/mk and 0.1 W/mk respectively. c) Draw and explain temperature-Entropy diagram for formation of steam and show the following on it :– (i) Saturated liquid line (ii) Wet region (iii) Critical point (iv) Dryness fraction lines. 6. Attempt any TWO of the following: 12 a) (i)Explain the application of second law of thermodynamics to heat engine. (ii) Prove that, (C.O.P.) Heat pump = 1 + (C.O.P.) Refrigeration b) (i) State the sources of air leakage in (ii)Vacuum gauge on condenser reads barometer reads 759 mm. of ‘Hg’. standard barometer of 760 mm. of condenser. 700 mm. of ‘Hg’ when Correct the vacuum to ‘Hg.’ c) Suggest the type of heat exchangers for following applications:– (i) Dairy plant. (Milk chilling plant) (ii) Condenser of refrigeration system (Household system). Justify your answers. MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ WINTER – 2022 EXAMINATION Model Answer Subject Name: Thermal Engineering Subject Code: 22337 Important Instructions to examiners: 1) The answers should be examined by key words and not as word-to-word as given in the model answer scheme. 2) The model answer and the answer written by candidate may vary but the examiner may try to assess the understanding level of the candidate. 3) The language errors such as grammatical, spelling errors should not be given more Importance (Not applicable for subject English and Communication Skills. 4) While assessing figures, examiner may give credit for principal components indicated in the figure. The figures drawn by candidate and model answer may vary. The examiner may give credit for any equivalent figure drawn. 5) Credits may be given step wise for numerical problems. In some cases, the assumed constant values may vary and there may be some difference in the candidate’s answers and model answer. 6) In case of some questions credit may be given by judgement on part of examiner of relevant answer based on candidate’s understanding. 7) For programming language papers, credit may be given to any other program based on equivalent concept. 8) As per the policy decision of Maharashtra State Government, teaching in English/Marathi and Bilingual (English + Marathi) medium is introduced at first year of AICTE diploma Programme from academic year 2021-2022. Hence if the students in first year (first and second semesters) write answers in Marathi or bilingual language (English +Marathi), the Examiner shall consider the same and assess the answer based on matching of concepts with model answer. Q. No. Sub Q. N. 1. Answer Marking Scheme Attempt any FIVE of the following: 10 a) Define Gray Body. Sol. Gray body :- A grey body is defined as a body with constant emissivity over all wavelengths and temperatures. It absorbs a definite percentage of incident energy irrespective of their wavelengths. 2 Marks for Def. Represent Isochoric Process on P-V and T-S chart. b) Sol. 1 Marks for each Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ WINTER – 2022 EXAMINATION Model Answer Subject Name: Thermal Engineering Q. No. Sub Q. N. 1 c) Subject Code: 22337 Answer Marking Scheme State Function of :i) Economizer ii) Fusible plug Sol. (i) Economizer :- Function of economizers in steam power plants is to capture the waste 1 Marks heat from boiler flue gases and transfer it to the boiler feed water. This raises the temperature of the boiler feed water, lowering the needed energy input, in turn increase in boiler efficiency. (ii) Fusible plug-The function of the fusible plug is to put-off the fire in the furnace of the 1 Marks boiler when the water level falls below an unsafe level and thus avoids the explosion which may take place due to overhearing of the tubes and the shell. d) List Four Applications of nozzle 1) In flow measurement to measure discharge 2) Steam and gas turbine 3) Jet engines 4) Rocket motors 5) In flow measurement 6) In water sprinklers 7) In injectors for removing air from condensers. e) Sol. ½ Marks for each (any four ) What is the necessity of compounding of steam turbine? The compounding of steam turbine means the methods to reduce the speed of rotor shaft. To increase the thermal efficiency in power plants, high pressure and high temp. steam is used. If the entire pressure drop (from boiler pressure to condenser pressure)is carried out one stage only. Then the velocity of steam entering into the turbine will be extremely high. This will make the rotor to run at a very high speed, which is not useful from practical point of view. Hence it becomes necessary to reduce the rotor speed of turbine by gearing or no. of stages. Any 2 points 01 mark each Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ WINTER – 2022 EXAMINATION Model Answer Subject Name: Thermal Engineering Q. No . Su b Q. N. 1. f) Subject Code: 22337 Answer Marking Scheme State Dalton's law of partial pressure. It states that’ “The pressure exerted by mixture of air and steam is equal to sum of partial pressures, which each constitute would exert, if it occupies the same volume”. 1 Marks In condenser total pressure is the sum of partial pressure of steam and air. Mathematically, Pc= Pa + Ps 1 Marks Where; Pc = Pressure in condenser containing mixture of air and steam Pa = Partial pressure of air Ps = Partial pressure of steam g) Sol . 2. State Fourier’s law of heat conduction The law state that for homogeneous material the rate of heat transfer in steady state in any direction is directly proportional to temperature gradient in that direction. Q/A α dt/dx Q/A = -k dt/dx Where, Q/A is rate of heat transfer dt/dx is temperature gradient k conductivity of medium Sol . 1 Marks 12 Attempt any THREE of the following: a) 1 Marks State Extensive property and Intensive property with two example of each . (i) Extensive Property: It is defined as the property which depends upon the mass of the system. Or Extensive properties are those whose values are dependent of the mass possessed by the system, such as volume, enthalpy, and entropy. Ex. Total volume, Area, Enthalpy, Entropy etc. (ii)Intensive Property: It is defined as the property which is does not depend upon the mass of the system. Or 2 Marks for Each Def. 2 marks for Exampl e of each Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Intensive properties are those whose values are independent of the mass possessed by the system. Ex. Pressure, Temperature, Density, Specific volume, specific Enthalpy, etc. b) 2. 2 kg of gas at 50oc is heated at constant volume until the pressure is doubled. Determine i) Final Temp. ii) Change in internal energy. Take Cv = 0.718 KJ/Kgk. An 2 Marks for Final Temp. 2 Marks for Change in Internal Energy Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 2. c) State the Main Features of Indian Boiler Regulation (IBR) Sol . 1. A boiler cannot be put to use unless it has been registered with the Chief Inspector of Boilers. 2. The maximum working pressure of the boiler has to be determined by Boiler Inspector who will issue certificate for this. Owner cannot exceed this pressure limit in any case. 3. In case of accident, it should be reported by owner within 24 hours with full details. 4. The rules, regulations and bye-laws governing the upkeep and maintenance of boilers, procedure of registration, inspection and certification of maximum pressure, safety conditions etc. are subject to a revision by a Central Board under control of Govt. of India. Any Four Feature s 1 Mark for each 5. The boiler house plan, chimney design (Max height 30.48 m from floor) should be approved by boiler inspector. 6. Owner should apply for registration in prescribed format, inspector should fix date of inspection within 30 days, conduct inspection/examination of boiler, Issue the certificate of registration not exceeding 12 months period. 7. Following inspections are carried out by Boiler Inspector at various stages/ levels /needInspection for registration, Hydraulic test, steam test, annual inspection, Inspection under steam, Internal inspection, Accident inspection, Casual inspection 8. Violation of law is liable to prosecution and punishment with fine. d) Sol . Explain the working of Cochran boiler with neat sketch The Cochran boiler is vertical, multi-tube boiler generally used for small capacity steam generation. Cochran boilers are made in different sizes of evaporative capacities ranging starting from 150 to 3000 kg/hr. and working pressure up to 15 bar. Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 2 Marks for fig. Working: First, the coal is fed to grate via a fire hole for a burn. The ash formed in burning is collected in ash-pit below the grate and it removes manually. The hot gases from the grate pass through the combustion chamber to horizontal fire tubes and transfer the heat to water by convection. Exhaust gases out from fire tubes pass through smokebox and exhaust to the atmosphere via a chimney. There is a door in the smokebox for cleaning the fire tunes and smokebox. The Cochran boiler has a working pressure of 6.5 bar and a steam capacity of 3500 kg/hr. Attempt Any THREE of the following. 3 a Sol 2 Marks for working 12 Define and state significance of Mach number. • It is the ratio of velocity of fluid to the sonic velocity of compressible fluid M=V/a Where, Define 02 Marks M= Mach number Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ V=Velocity of fluid a=Sonic velocity Significance of Mach number: If b 02 • M<1 subsonic nozzle • M>1 supersonic nozzle • M=1 subsonic and supersonic nozzle Working of Impulse Turbine: 02 Pressure velocity variation in Impulse turbine 02 Working of Impulse Turbine: The impulse turbine consists of one set of Nozzle followed by one set of moving blades as shown in above figure. In Impulse turbine power is developed by impulsive force of high velocity steam jet on moving blade Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Steam from boiler enters in nozzle ring of impulse turbine where, high velocity jet is obtained by expansion of steam in nozzle ring. Moving blades changes direction of steam jet thus the momentum of jet which rotates the shaft. High velocity steam jet then passed through moving blade ring with no pressure drop but gradual reduction in velocity. c 02 02 Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ d 02 02 Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 4 Attempt Any THREE of the following. a 12 Differentiate between natural draught and forced draught cooling tower. Natural Draught cooling tower Forced draught cooling tower 1. Circulation of air is provided by pressure difference of air inside cooling tower 1.for circulation of air forced draught fan provided. 2.cooling capacity is less 2.cooling capacity is more 3.Operating cost is less 3. Operating cost is more 4. Maintenance Cost is less 4.Maintenance cost is more 5.Space Requirement is more 5.Space requirement is less 6. It is generally hyperbolic in shape 6.It is rectangular in shape. Any four point 01 mark each Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 4 b 02 02 Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ c 01 01 02 Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 4 d i)Fourier’s law: “ Heat Transfer Rate per unit area is proportional to normal temperature gradient.” 01 ii)Thermal Conductivity: Thermal conductivity of material is define as, “the amount of energy conduct through a body of unit area and unit thickness in unit time when the difference in temperature between the face causing heat flow is unit temperature difference.” K=Thermal conductivity. 01 State i) Newton’s Law of cooling: “The rate of cooling of a body is directly proportional to the difference in temperature of the body (T) and surrounding (To), provided difference in temperature should not be exceed by 30 0c.” 01 ii) Radiation : “It is process of heat transfer between two bodies without any carrying medium through different kind of electro-magnetic wave.” 01 Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ e Draw Neat sketch of surface condenser and label it. 03 marks for sketch and 01 mark for labellin g Attempt ant TWO of the following: 5 a 12 Regenerative feed heating The process of draining steam from turbine at certain points during its expansion and using this steam for heating feed water supplied to boiler is known as regenerative feed heating. 02 Marks 02 Marks For Fig. Fig. Regenerative feed heating Advantages: 1. It increases the thermal efficiency of plant. 2. The temperature stresses in the boiler are reduced due to decreased range of working temperature. Page No: ____/ N 02 Marks MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ b Given data: 02 Marks Figure LA= 2 mm = 0.002 m LB= 5 cm =0.05 m LC=2 mm =0.002 m KA = KC = 50 W/m0k KB = 0.1 W/m0k T1= -10 0C = -10 +273 = 263 0k T4= 40 0C = 40 + 273 = 313 0k 01 Mark for data 03 Marks For cal. c Temperature and Entropy diagram: 04 Mark for dia. 02 Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ A T-S diagram is the type of diagram most frequently used to analyze energy transfer system Marks cycles. This is because the work done by or on the system and the heat added to or removed from For the system can be visualized on the T-S diagram. By the definition of entropy, the heat expl. transferred to or from a system equals the area under the T-S curve of the process. Figure is the T-S diagram for pure water. A T-S diagram can be constructed for any pure substance. In the liquid-vapor region in figure, water and steam exits together. 12 Attempt any TWO of the following: 6 ai Heat Engine: Heat Source QA E 1.5 W= QA-QR QR Heat Sink Fig. Heat Engine In heat engine, heat is extract from the high thermal reservoir or heat source same part of heat is converted into work and remaining heat rejected to thermal reservoir or heat sink. The performance of heat engine is measured in terms of efficiency. So, 1.5 The efficiency of heat engine is always less than 1. It means that heat engine is not 100% efficient. -----------------------------------------------------------------------------------------a ii Prove that, (C.O.P.) Heat pump = 1 + (C.O.P.) refrigeration. (C.O.P.) Heat pump = 03 (C.O.P.) Refrigeration = (C.O.P.) Heat pump + 1 = +1 = = Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ = bi (C.O.P.) Heat pump + 1 = (C.O.P.)Refrigeration T The main sources of air leakage in condenser are given below: 1) There is leakage of air from atmosphere at the joint of the parts which are internally under a pressure less than atmospheric pressure. 2) Air is also accompanied with steam from the boiler into which it enters dissolved in feed water. 3) 03 In jet condensers, a little quantity of air accompanies the injection water. b ii 03 Ci Type of Heat Exchanger for following applications: i. C ii Dairy Plant (Milk Chilling Plant): Plate Type Heat Exchanger Because, 1. It is made up of aluminum alloy which provides higher rate of heat transfer. 2. Due to larger surface area, it has more heat transfer as compare to other heat exchanger which is useful for dairy plant. 3. It is lighter in weight. ii. Condenser of Refrigeration System (Household system): Counter Flow tube type heat Exchanger Because, 1. High performance due to large surface area. 2. Compact and light in weight. 3. In tubes generally turbulent flow is develop which reduces scale deposition. Less installation and maintenance cost. 03 03 END Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Page No: ____/ N 2019 WINTER 11920 3 Hours / 70 Marks Instructions – 22337 Seat No. (1) All Questions are Compulsory. (2) Answer each next main Question on a new page. (3) Illustrate your answers with neat sketches wherever necessary. (4) Figures to the right indicate full marks. (5) Mobile Phone, Pager and any other Electronic Communication devices are not permissible in Examination Hall. Marks 1. Attempt any FIVE of the following: 10 a) Define (i) Intensive property (ii) Extensive property. Give one example of each. b) Represent Isochoric Process on P-V and T-S chart. c) A sample of 35 Kg of dry steam contains 0.7 Kg of water is in suspension, find its dryness fraction. d) Suggest the different methods to control the speed of rotation of steam turbine constant at all varying loads. e) Explain the functions of steam nozzle. f) Write the elements of forced draught cooling tower. g) Define (i) Thermal conductivity (ii) Thermal resistance P.T.O. 22337 [2] Marks 2. Attempt any THREE of the following: 12 a) Explain the concept of flow work associated with flow processes. b) Two leg of gas contained in cylinder at a pressure of 7 bar and temperature 27°C expands four times its original volume at constant pressure. Calculate (i) Work done by gas (ii) Heat added c) In a constant pressure vapour process, the initial condition of steam is wet and final condition is superheated. Represent the process on P–V, T–S, and H–S chart. d) Explain the working of Lamont boiler with neat sketch. 3. Attempt any THREE of the following: a) Write the criteria for selection of nozzle for given situation. b) Explain the need of compounding. Suggest the method of compounding for reaction steam turbine with justification. c) A nitrogen gas is expanded from 8 bar to 1 bar at 47°C according to law PV = C. Plot the process on P–V and T–S diagram and state the formulas to be used to find out workdone, Amount of heat supplied and change in entropy. d) Determine the amount of heat required to convert 2 Kg of water at 25°C into steam at 5 bar and having 90% dry. 12 22337 [3] 4. Attempt any THREE of the following: Marks 12 a) Explain Dalton’s law of partial pressure. How it is applicable to condenser? b) A system is composed of a gas contained in a cylinder fitted with a piston. The gas expands from the state 1 for which Internal energy U1 = 75 KJ to state 2 for which U2 = –25 KJ. During the expansion the gas does 60 KJ of work on the surrounding. Determine the heat transferred to or from the system during the process. c) 3 m3 of gas of 30°C and 6 bar pressure is expanded isothermally to 1 bar. Find work done, change in internal energy and heat transferred during the process. d) Explain construction and working of shell and tube type heat exchanger. A ice plant producing 2000 Kg ice per day required the condenser. Suggest the type of condenser with justification. 5. Attempt any TWO of the following: 12 a) (i)Suggest the methods to improve the performance of steam turbine. Explain any one in brief. (ii) Identity the different losses occoured in steam turbine. b) An exterior wall of house consists 10.6 cm layer of common brick. It is followed by 3.8 cm layer of gypsum plaster and 5.83 cm of rockwool insulation. Estimate the amount of heat transferred through structure it. Thermal conductivity of brick = 0.7 W/mk Thermal conductivity of Plaster = 0.48 W/mk Thermal conductivity of Insulation = 0.065 W/mk c) The initial condition of steam is 15% wet at a pressure of 7 bar. It expands to 1.2 bar by PV1-3 = C. Find (i) Quality of steam at the end of expansion (ii) Work done. P.T.O. 22337 [4] Marks 6. Attempt any TWO of the following: a) A mass of 0.8 Kg of air at 1 bar and 25°C is contained in a gas tight frictionless piston cylinder device. The air is now compressed to a final pressure of 5 bar. During this process the heat is transferred from air such that the temperature inside the cylinder remains constant. Calculate the heat transferred and work done during process and direction of each in the process. b) For steam power plant having capacity 600 MW capacity a cooling tower is required to set up with condenser. Suggest the type of condenser and cooling tower with justification. c) Suggest the type of heat exchangers for following applications (i) Dairy plant (Milk Chilling Plant) (ii) Condenser of refrigeration system (House hold system) Justify your answers. 12 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ WINTER – 19 EXAMINATION Subject Name: Thermal Engineering Model Answer Subject Code: 22337 Important Instructions to examiners: 1) The answers should be examined by key words and not as word-to-word as given in the model answer scheme. 2) The model answer and the answer written by candidate may vary but the examiner may try to assess the understanding level of the candidate. 3) The language errors such as grammatical, spelling errors should not be given more Importance (Not applicable for subject English and Communication Skills. 4) While assessing figures, examiner may give credit for principal components indicated in the figure. The figures drawn by candidate and model answer may vary. The examiner may give credit for any equivalent figure drawn. 5) Credits may be given step wise for numerical problems. In some cases, the assumed constant values may vary and there may be some difference in the candidate’s answers and model answer. 6) In case of some questions credit may be given by judgement on part of examiner of relevant answer based on candidate’s understanding. 7) For programming language papers, credit may be given to any other program based on equivalent concept. Q.1. Attempt any FIVE of the following: 10 Marks a) Define(i) Intensive property (ii) Extensive property. Give one example of each. (i) Sol.Intensive Property: 01 mark It is defined as the property which is does not depend upon the mass of the system. Or Intensive properties are those whose values are independent of the mass possessed by the system. Ex. Pressure, Temperature, Density, Specific volume, specific Enthalpy, etc. (ii) Extensive Property: It is defined as the property which depends upon the mass of the system. 01 mark Or Extensive properties are those whose values are dependent of the mass possessed by the system, such as volume, enthalpy, and entropy. Extensive properties are denoted by uppercase letters, such as volume (V), enthalpy (H) and entropy (S). Per unit mass of extensive properties are called specific properties and denoted by lowercase letters. For example, specific volume v = V/m, specific enthalpy h = H/m and specific entropy s = S/m Ex. Total volume, Area, Enthalpy, Entropy etc. Page 1 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ b) Sol. Represent Isochoric Process on P-V and T-S chart. 01 mark each c) Figure: P-V and T-S representation of Isochoric process A sample of 35 Kg of dry steam contains 0.7 Kg of water is in suspension, find its dryness fraction. Sol. Mass of dry steam=35 kg Mass water suspension=0.7 kg Weight of wet steam=35+0.7=35.7 kg So, Dryness fraction X=Actual mass of dry steam/ weight of wet steam 01 mark Formula 01 mark = 35 / (35+0.7) =0.098039 d) Sol. Suggest the different methods to control the speed of rotation of steam turbine constant at all varying loads. Following are the different methods to control the speed of rotation of steam turbine constant at all varying loads; a) Throttle governing ½ mark each b) Nozzle control governing c) By pass governing d) Combine throttle and nozzle control governing e) Combine throttle and by pass governing e) Sol. f) Sol. Explain the functions of steam nozzle. The steam nozzle is a passage of varying cross section by means of which the thermal energy of steam is converted into kinetic energy. When steam f lows through a nozzles expansion process take place.(Only function is expected and not in detail working) Write the elements of forced draught cooling tower. Following are the elements of forced draught cooling tower; a) Forced draught fan b) Eliminator c) Spray header d) Spray nozzle 2 marks ½ mark each Page 2 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ e) Circulating pump g) Define- Sol. (i) Thermal conductivity (ii) Thermal resistance Thermal conductivity of material is define as ,”the amount of energy conduct through a body of unit area and unit thickness in unit time when the difference in temperature between the face causing heat flow is unit temperature difference.” K=Thermal conductivity. 01 mark 01 mark Thermal resistance is a property of a heat and measured by a temperature difference of a substance resist heat flow. Q.2. a) Sol. Attempt any THREE of the following: Explain the concept of flow work associated with flow processes. A control volume may involve one or more forms of work at the same time. ... Work is needed to push the fluid into or out of the boundaries of a control volume if mass flow is involved. This work is called the flow work (flow energy). Flow work is necessary for maintaining a continuous flow through a control volume. 12 Marks 02 marks 02 marks b) Two leg of gas 27°C expands (i) (ii) contained in cylinder at a pressure of 7 bar and temperature four times its original volume at constant pressure. CalculateWork done by gas Heat added Page 3 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Sol. Note: 1) Printing mistake: instead of mass(Kg), leg is printed 2) Values of CP, R are not mentioned. (If student assume a data and solve the numerical with correct procedure then give appropriate marks) 01 mark 01 mark 01 mark 01mark c) In a constant pressure vapour process, the initial condition of steam is wet and final condition is superheated. Represent the process on P-V, T-S, and HS chart. Page 4 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Sol. 03 marks For charts 01 mark for labels Figure: P-V, T-S, and H-S chart d) Explain the working of Lamont boiler with neat sketch. Page 5 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Sol. 02 marks Figure: Lamont boiler 1. This is a modern high pressure, water tube boiler working on a forced circulation. 2. The circulation is maintained by a centrifugal pump, driven by a steam turbine, using steam from the boiler. 3. Feed water is supplied to economiser from hot well which is passed to separating and storing drum. 4. Water from separating and storing drum, flows by gravity to circulating pump. 5. Circulating pump circulates the water to set of tubes known as convective evaporator and then radiant evaporator. 02 marks 6. By the time, water leaves the radiant evaporator, it converts into steam. 7. This steam is passed through storage and separator drum. 8. From separator and storage drum steam is fed to super heater to superheat. 9. The superheated steam is passed to main stream to supply for required application. Lamont boilers generates 45 to 50 tones steam per hour at 130 bar with 5000 C. Page 6 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Q.3. a) Sol. Attempt any THREE of the following: Write the criteria for selection of nozzle for given situation. Following are the situation for selection criteria of nozzle. Situation first: It is used when the back pressure is equal or more than the critical pressure ratio. It is also used for non – compressible fluids. Convergent nozzle: Cross sectional area is decreases continuously from entrance to exit. 02 marks Situation second: When back pressure is less than critical pressure divergent nozzle is used. Divergent nozzle: Cross sectional area is increases continuously from entrance to exit. Situation third: When back pressure is less than critical pressure convergent divergent nozzle is used. Convergent and Divergent nozzle: Cross sectional area of nozzle first continuously decreases and then increases from entrance to exit. b) Sol. c) 12 Marks 02 marks Explain the need of compounding. Suggest the method of compounding for reaction steam turbine with justification. Need of compounding: ✔ The compounding of steam turbine means the methods to reduce the speed of rotor 02 marks shaft. ✔ To increase the thermal efficiency in power plants, high pressure and high temp. steam is used. ✔ If the entire pressure drop (from boiler pressure to condenser pressure)is carried out one stage only. ✔ Then the velocity of steam entering into the turbine will be extremely high. ✔ This will make the rotor to run at a very high speed, which is not useful from practical point of view. 02 marks ✔ Hence it becomes necessary to reduce the rotor speed of turbine by gearing or no. of stages. Following are the methods of compounding: i. Velocity compounding ii. Pressure compounding iii. Pressure-Velocity compounding A nitrogen gas is expanded from 8 bar to 1 bar at 47°C according to law PV = C. Plot the process on P- V and T-S diagram and state the formulas to be used to find out work done, Amount of heat supplied and change in entropy. Page 7 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Sol. 01 marks for figure 01 marks each formula Page 8 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ d) Sol. Determine the amount of heat supplied to 2kg of water at 25°C to convert it into steam at 5 bar and 0.9 dry. Note: Value of Cp of water is not given assuming it standard value. 01 marks 01 marks 02 marks Page 9 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Q.4. a) Sol. Attempt any THREE of the following: 12 Marks Explain Dalton's law of partial pressure. How it is applicable to condenser? It states that’ “The pressure exerted by mixture of air and steam is equal to sum of partial pressures, which each constitute would exert, if it occupies the same volume”. 02 marks 02 marks Figure: Dalton’s law of partial pressure In condenser total pressure is the sum of partial pressure of steam and air. Mathematically, P c= P a + P s Where; Pc = Pressure in condenser containing mixture of air and steam Pa = Partial pressure of air Ps = Partial pressure of steam b) A system is composed of a gas contained in a cylinder fitted with a piston. The gas expands from the state 1 for which internal energy U 1 = 75 KJ to state 2 for which U2 = -25 KJ. During the expansion the gas does 60 KJ of work on the surrounding. Determine the heat transferred to or from the system during the process. Page 10 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Sol. 02 marks 02 marks Page 11 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ c) 3 m3 of gas of 30°C and 6 bar pressure is expanded isothermally to 1 bar. Find work done, change in internal energy and heat transferred during the process. Sol. 01 mark 01 mark 01 mark Page 12 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 01 mark d) Explain construction and working of shell and tube type heat exchanger. A ice plant producing 2000 Kg ice per day required the condenser. Suggest the type of condenser with justification. Sol. 02 marks Shell and tube heat exchanger consist of a bundle of round tubes placed inside the cylindrical shell.Tube axis parallel to that of shell. One fluid inside the tubes while the other over the tubes. The main components of this type of heat exchanger are: i. Shell ii. Tube bundle iii. Front and rear headers of shell iv. baffles The baffles provide the support to tubes and also deflect the fluid flow approximately normal to tubes. This increase the turbulence of shell side fluid and improves heat transfer. The various types of baffles are existing and their type, spacing, shape, will depend on the flow rate, shell side pressure drop, required tube support, flow vibrations etc. The fluid combination may be : 1 Liquid to liquid 2 Liquid to gas 3 Gas to gas 01 mark Page 13 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ A ice plant producing used. Justification: 2000 Kg ice per day required the evaporative condenser is 01 mark The evaporative condenser is essentially a combination of a water-cooled condenser and an air-cooled condenser, utilizing the principle of heat rejection by the evaporation of water into an air stream traveling across the condensing coil. Q.5. a) Attempt any TWO of the following: (i) Suggest the methods to improve the performance of steam turbine. Explain anyone in brief. (ii) Sol. Identity 12 Marks the different losses occurred in steam turbine. i) Methods to improve turbine efficiency 1) Reheating of Steam 2) Regenerative feed heating 01 mark 3) Binary Vapour Plant Regenerative feed heating System The process of draining steam from turbine at certain points during it’s expansion and using this steam for heating feed water supplied to boiler is known as regenerative feed heating. It increases the thermal efficiency of plant, The temperature stresses in the boiler are reduced due to decreased range of working temperature. 01 mark 01 mark ii) Losses occurred in steam turbine Residual velocity loss- The steam leaves the turbine with a certain absolute velocity which results in loss of KE. This loss is about 10 to 12% .It can be reduced by multistaging. Losses in regulating valves-Due to throttling action in valve , steam pressure drop occurs. Hence Page 14 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ steam pressure at entry to turbine is less than the boiler pressure. Losses due to friction in nozzle-Friction occurs both in nozzle and turbine blades. In nozzle, nozzle efficiency is considered, whereas in turbines, blade velocity coefficient is taken into account. This loss is about 10% Loss due to leakage-The leakage occurs between the shaft, bearings and stationary diaphragms carrying the nozzles in case of impulse turbines. In reaction turbine the leakage occurs at blade tips. This is about 1-2%. 03 marks (Any 3 Point) Loss due to mechanical friction-This occurs in bearings and may be reduced by lubrication Loss due to wetness of steam-In multistage turbine, condensation occurs at last stage ,so in dragging water particles with steam, some KE of stem is lost Radiation loss-As turbines are heavily insulated to reduce the heat loss to surroundings by radiation and so these losses are negligible b) Sol. An exterior wall of house consists 10.6 cm layer of common brick. It is followed by 3.8 cm layer of gypsum plaster and 5.83 cm of rock wool insulation. Estimate the amount of heat transferred through structure it. Thermal conductivity of brick = 0.7 W/mK Thermal conductivity of Plaster = 0.48 W/mK Thermal conductivity of Insulation = 0.065 W/mK Note: 1. Temperature gradient not mentioned. (If student assume a data and solve the numerical with correct procedure then gives appropriate marks) Page 15 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 03marks 03marks c) The initial condition of steam is 15% wet at a pressure of 7 bar It expands 1.2 bar by PV1.3 = C. Find (i) Quality of steam at the end of expansion (ii) Work done. to Sol. Page 16 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 03 marks 03 marks Q.6. a) Attempt any TWO of the following: A mass of 0.8 Kg of air at 1 bar and 25°C is contained in a gas tight frictionless piston cylinder device. The air is now compressed to a final pressure of 5 bar. During this process the heat is transferred from air such that the temperature inside the cylinder remains constant. Calculate the heat transferred and work done during process and direction of each in the process. 12 Marks Page 17 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Sol. 01 mark 02 marks 02 marks 01 mark b) For steam power plant having capacity 600 MW capacity a cooling tower is required to set up with condenser. Suggest the type of condenser and cooling tower with justification. Sol. For Steam power plant having Capacity 600 MW the requirement of condenser and cooling tower is as follow. 3 marks 1) Condenser:- Given Capacity is medium to low capacity for this we can use Jet Condenser -Which cooling water and steam are mixed to each other , -Mainly it requires less quantity of cooling water. -It is simple in construction and less costly. Page 18 of 19 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ -Maintenance cost Is also less. 2) Cooling Tower :- For this Capacity we can use Force draught cooling tower - Less space is required -Cooling rate and efficiency of tower is high 3 marks -Temperature of water coming out from tower can be controlled. c) Suggest the type of heat exchangers for following applications - (i) Dairy plant (Milk Chilling Plant) (ii) Condenser of refrigeration Sol. system. (House hold system) Justify your answers. Types of Heat Exchanger Used for 1) Dairy Plant (Milk Chilling Plant)- Plate Type Heat Exchanger 1 mark Because , It is made up of aluminum alloy which provides higher rate of heat transfer. Due to larger surface area, It has more heat transfer as compare to other heat exchanger which is useful for dairy plant. 2 marks It is lighter in weight. 2) Condenser of Refrigeration System:- Counter Flow tube type heat Exchanger Because , High performance due to large surface area 1 mark 2 marks Compact and light in weight In tubes generally turbulent flow is develop which reduces scale deposition. Less installation and maintenance cost. Page 19 of 19 2019 SUMMER 21819 3 Hours / 70 Marks Instructions – 22337 Seat No. (1) All Questions are Compulsory. (2) Illustrate your answers with neat sketches wherever necessary. (3) Figures to the right indicate full marks. (4) Assume suitable data, if necessary. (5) Use of Steam tables, logarithmic, Mollier’s chart is permitted. (6) Mobile Phone, Pager and any other Electronic Communication devices are not permissible in Examination Hall. Marks 1. Attempt any FIVE of the following: 10 a) Differentiate between Heat and Work. b) State clausius statement of second law of thermodynamics. c) Define dryness fraction and degree of superheat. d) Define mach number and critical pressure. e) Explain bleeding of steam. f) State Dalton’s law of partial pressure. g) Define Fourier’s law. P.T.O. 22337 [2] Marks 2. Attempt any THREE of the following: 12 a) State extensive property and Intensive property with two examples each. b) Define isentropic process and plot it on P-V and T-S diagram. c) Define: (i) Sensible heat (ii) Latent heat d) Differentiate water tube boiler and fire tube boilers (any four) 3. Attempt any THREE of the following: 12 a) State the term governing of turbine and explain nozzle control governing. b) Explain principle of working of Impulse steam turbine with neat sketch. c) A gas occupying 0.26 m3 at 300°C and 0.4 MPa pressure expands till volume becomes 0.441 m3 and pressure 0.26 MPa. Calculate the change in internal energy per kg of gas. CP = 1 kJ/kg K, CV = 0.71 kJ/kg K. d) Determine the amount of heat supplied to 2kg of water at 25°C to convert it into steam at 5 bar and 0.9 dry. 4. Attempt any THREE of the following: a) Differentiate between natural draught and forced draught cooling tower. b) A gas has a volume of 0.14 m3, pressure 1.6 bar and a temperature 110°C. If the gas is compressed at constant pressure until its volume becomes 0.112m3 Determine: (i) Work done in compression of gas (ii) Heat given out by gas c) A certain gas has CP = 1.968 kJ/kg K CV = 1.507 kJ/kgK. Find the molecular weight and the gas constant. A constant volume chamber of 0.3m3 capacity contain 2 kg of this gas at 5°C. Heat is transferred to the gas until the temperature is 100°C. Find the work done and change in internal energy. 12 22337 [3] Marks d) Define: (i) Transmissivity (ii) Black body (iii) Grey body (iv) Reflectivity e) Draw a neat sketch of surface condenser and label it. 5. Attempt any TWO of the following: 12 a) List out any six losses in steam turbine. b) A steel pipe of inner and outer diameter 6 cm and 8 cm respectively has inside temperature 140°C and outside temperature 50°C. The thermal conductivity of steel is 24 W/mk. Calculate the rate of heat transfer through the pipe if length of pipe is 1.5 m. c) List any six methods of energy conservation in boilers. 6. Attempt any TWO of the following: a) Explain the necessity of compounding in steam turbine and draw a neat sketch of pressure velocity compounding. b) (i)Explain the application of second law of thermodynamics to refrigerator. (ii) State any three functions of steam condenser. c) Derive characteristic gas equation using Boyle’s and Charle’s law. 12 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ SUMMER – 19 EXAMINATION Subject Name: Thermal Engineering Model Answer Subject Code: 22337 Important Instructions to examiners: 1) The answers should be examined by key words and not as word-to-word as given in the model answer scheme. 2) The model answer and the answer written by candidate may vary but the examiner may try to assess the understanding level of the candidate. 3) The language errors such as grammatical, spelling errors should not be given more Importance (Not applicable for subject English and Communication Skills. 4) While assessing figures, examiner may give credit for principal components indicated in the figure. The figures drawn by candidate and model answer may vary. The examiner may give credit for any equivalent figure drawn. 5) Credits may be given step wise for numerical problems. In some cases, the assumed constant values may vary and there may be some difference in the candidate’s answers and model answer. 6) In case of some questions credit may be given by judgement on part of examiner of relevant answer based on candidate’s understanding. 7) For programming language papers, credit may be given to any other program based on equivalent concept. Q.1. a) Sol. Attempt any FIVE of the following: Differentiate between Heat and Work. Differentiate between heat and work. Ans: Sr.No. Parameter Heat 1. b) Sol. 10 Marks Definition Work Form of energy that is The amount of energy transferred between system transferred by a force acting and surrounding or two though a distance systems due to temperature difference 2. Function Heat is a function of the state Heat is a function of the Path 3. Energy Interaction Due to Temperature Difference Other than Temperature difference Any 2 points 1 marks for each Point of difference State Clausius statement of second law of thermodynamics. Clausius statement: It state that “It is impossible for a self-acting machine working in a cyclic Process without any external force, to transfer heat from a body at a lower temperature to a body at a higher temperature. Thus external mechanical work expenditure is necessary to transfer heat from a body at a low temperature to a body at high temperature. 1 mark 1 mark Page 1 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ c) Sol. Define d r y ne s s fraction and degree of superheat. Dryness fraction: It is defined as a fraction of dry steam that is present in a liquid vapour is called dryness fraction. Or Dryness fraction is the ratio of the Mass of actual dry steam to the Mass of wet steam. Any one definition 1 mark X = M s/ Ms+Mw Where X – Dryness fraction Ms – mass of vapour (dry steam) contain in steam Mw = mass of water in suspension in steam d) Sol. Degree of Superheat: 1 mark The difference between the temperature of superheated steam and saturated steam (Tsup – Tsat) is known as degree of superheat. Define Mach number and critical pressure. 1. Mach Number: In fluid dynamics, the Mach number (M or Ma) is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound. 1 mark M = c/a M is the Mach number, c is the local flow velocity, a is the speed of sound in the medium 1 mark 2. Critical Pressure: The Pressure for which the maximum discharge through nozzle occurs is called as critical pressure . It is denoted as Pc e) Sol. Explain bleeding of steam. It is process of draining steam from turbine at certain point during its expansion and using these steams for heating the feed water supplied to boiler is known as bleed and the process is known as bleeding of steam. 1 mark 1 mark Figure: Bleeding of steam f) Sol. State Dalton's law of partial pressure. This law states that “The total pressure exerted by a mixture of air and water vapour on the walls of container is the sum of partial pressure exerted by air separated and that exerted by vapour separately at common temperature of the condenser”. P = Pa + Ps Where Pa= partial pressure exhausted by air Ps = partial pressure exhausted by vapour P = total pressure of mixture at temperature. 01 mark 01 mark Page 2 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ g) Sol. Define Fourier's law. The law state that for homogeneous material the rate of heat transfer in steady state in any direction is directly proportional to temperature gradient in that direction. 01 mark Q/A α dt/dx 01 mark Q/A = -k dt/dx Where, Q/A is rate of heat transfer dt/dx is temperature gradient k conductivity of medium Q.2. a) Sol. Attempt any THREE of the following: State extensive property and Intensive property with two examples each. Extensive property:- An extensive property of a system is one whose value depend upon the mass of the system. e.g. volume, energy, enthalpy, entropy, internal energy. 12 Marks 1 mark 1 mark Intensive property:- An intensive property of a system is one whose value does not depend upon the mass of the system. 1 mark e.g. Density, Temperature , Pressure b) Sol. 1 mark Define isentropic process and plot it on, P- V and T-S diagram. Isentropic Process: The process in which working substance neither receives nor rejects heat to its surrounding during expansion or compression is called as Isentropic process, it is also known as adiabatic process. Adiabatic process reversible when it is frictionless and the process is irreversible when it involves friction . Process is denoted by equation PVɣ =C 2 marks 2 marks (1 Mark for each Dig.) PV Diagram TS Diagram Page 3 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ c) Sol. Define: (i) Sensible heat (ii) Latent heat i) Sensible Heat: The heat in which change in temperature of a substance can be observed but phase remains unchanged that heat is known as Sensible heat. 1 mark This heat can be sensed by ordinary thermometer, It is given by the equation Sensible heat = m Cp (T2-T 1) m is mass Cp is Specific heat at constant pressure 1 mark T1 is Initial Temperature T2 is Final Temperature 1 mark ii) Latent Heat: It is define as amount of heat required for the change of phase of 1 kg of water at saturated temperature to dry saturated steam at constant pressure . It is denoted by L , Its value can be directly obtained from steam table 1 mark Heat at which solid changes phase to liquid is known as Latent heat of fusion Heat at which Liquid Changes Phase to vapour is known as Latent heat of vaporization d) Sol. Q.3. Differentiate water tube boiler and fire tube boilers (any four) Sr. Parameter Water tube boiler Fire tube boiler No. 1. Medium in tube Water is circulated in tube Hot gases are circulated and hot gases passed over through the tube and water the tube flows over tube. 2. Steam Formation Steam formation rate is Steam formation rate is low Rate high 3. Steam Pressure It can generate steam at Generate steam at lower higher pressure more than pressure up to 25 bar 25 bar 4. Operating cost Operating cost high Operating cost low 5. Overall efficiency Overall efficiency high Overall efficiency low 6. Cleaning and Cleaning and Inspection is Cleaning and Inspection is Inspection easy difficult 7. Application High power Generation Low to medium power generation 8. Example Babcock & Wilcox boiler, Cochran Boiler, Lancashire Loeffler Boiler boiler Attempt any THREE of the following: 1 mark for each point (Any 4 Points) 12 Marks Page 4 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ a) Sol. State the term governing of turbine and explain nozzle control governing. Governing of turbine: The function of governor is to regulate the supply of steam to the turbine so that the speed of rotation shall remain constant at all loads. 01 mark Nozzle control governing: 02 marks for Figure 01 mark explanation b) Figure: Nozzle control governing The arrangement of nozzle control governing is shown in figure. The poppet type valve uncover as many steam passages as necessary to meet the load, each passage serving a group of nozzle. The control governor has the advantage of using steam at full boiler pressure. The nozzles are divided into three groups N1, N2 and N3 and the control valves V1, V2 and V3 controls the amount of steam supply to each nozzle group respectively. The number of nozzle group may vary from three to five or more. Various arrangements of group nozzles and valves can be employed. Two arrangements are shown in figure (b) & (c). Under full load condition all the regulating valve are opened. When the load on the turbine is reduced the supply of steam to a group nozzle is shut off. Explain principle of working of Impulse steam turbine with neat sketch. Page 5 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Sol. 02 marks for figure Figure: Impulse Turbine 02 marks for explanation Construction: Impulse turbine is simpler, less expensive and does not need to be pressure proof. It can operate with any pressure stream but is considerably less efficient. Impulse turbine consist of one fixed set of nozzle mounted on a stationary diaphragm that orient the steam flow into high speed jets, which is followed by one set of moving blade ring as shown in Fig. for a single stage impulse turbine. c) A gas occupying 0.26 m3 at 300°C and 0.4 MPa pressure expands till volume becomes 0.441 m3 and pressure 0.26 MPa. Calculate the change in internal energy per kg of gas. Cp = 1 kJ/kg K, C y = 0.71 kJ/kg K. Page 6 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Sol. 02 marks 02 marks d) Determine the amount of heat supplied to 2kg of water at 25°C to convert it into steam at 5 bar and 0.9 dry. Page 7 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Sol. 01 mark 01 mark 01 mark 01 mark Q.4. a) Sol. Attempt any THREE of the following: Differentiate between natural draught and forced draught cooling tower. Sr. No. Natural draught Forced draught 1 The air flows naturally without fan Fan is located at the top of the through tower and provides required tower and enters the side of the cooling tower. 2 The air circulation through the tower The air circulation through the depends on wind velocity. tower depends on fan speed. 3 The cooling Rate and efficiency of tower The cooling Rate and efficiency is less. of tower is high. 4 It requires large space for same capacity. It requires less space for same capacity. 5 No power requires due to absence of fan. Fan requires more power as it handles hot air. 6 The temp. of water coming out from The temp. of water coming out 12 Marks 01 mark for each differentiation Page 8 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ b) tower cannot be controlled. from tower can be controlled. 3 A gas has a volume of 0.14 rn , pressure 1.6 bar and a temperature 1100C. If the gas is compressed at constant pressure until its volume becomes 0.112 m3 Determine: i. Work done in compression of gas ii. heat given out by gas Sol. 01 mark 01 mark 01 mark 01 mark c) A certain gas has Cp = 1.968 kJ/kg K Cy = 1.507 kJ/kgK. Find the molecular weight and the gas constant. A constant volume chamber of Page 9 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 0.3m3 capacity contain 2 kg of this gas at 5°C. Heat is transferred to the gas until the temperature is 100°C. Fmd the work done and change in internal energy. Sol. 01 mark each answer d) Sol. Define: i. Transmissivity ii. Black body iii. Grey body iv. Reflectivity Transmissivity: It is the the fraction of energy which is transmitted through the body. 01 mark each definition Or The ratio of amount of energy transmitted to the amount of energy incident on a body. Black body: A black body is an object that absorbs all the radiant energy reaching its surface from all the direction with all the wavelengths. Gray body: Grey Body: A gray body is defined as a body whose absorptivity of a surface does not vary with variation in temperature and wavelength of the incident radiation. It absorbs a Page 10 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ definite percentage of incident energy irrespective of wavelength. Its absorptivity lies between 0 to 1. e) Reflectivity: It is defined as the ratio of amount of energy reflected to the amount of energy incident on a body. Draw a neat sketch of surface condenser and label it. Sol. 02 marks for Sketch 02 marks for label. Q.5. a) Sol. b) Sol. Figure: Surface Condenser Attempt any TWO of the following: List out any six losses in steam turbine. Losses in steam turbine 1. Residual velocity loss 2. Loss due to friction 3. Leakage loss 4. Loss due mechanical friction 5. Radiation loss 6. Loss due to moisture 7.carry over losses A s t e e l pipe of inner and outer diameter 6 cm and 8 cm respectively has inside temperature 140°C and outside' temperature 50°C. The thermal conductivity o f steel is 24 W/mk. Calculate the rate of heat transfer through the pipe if length of pipe is 1.5 m. Given Data: Length of pipe = L=1.5 m , Inner diameter ,d1=6 cm , Outer diameter ,d2= 8 cm Inside temp T1 =140º C , Outside temp T2 =40º C , Ksteel = 24 W/Mk 12 Marks 02 marks 02 marks Page 11 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 02 marks c) Sol. Q.6. a) Q =78616.35 Watts or 78.62 KW List any SIX methods of energy conservation in boilers. List any six methods of energy conservation in boilers Following methods can conserve energy in boilers 1) Reduction radiation and convention losses 2) Waste heat recovery for heating to the feed water. 3) Continues monitoring of flue gases losses and other losses 4) Using standard efficient fuel firing equipments, burners, mechanical stockers. 5) Scheduling boiler operation to avoid fluctuation in boiler load 6) Installation of variable speed drives. 7) Optimise boiler stem pressure and temperature 8) Periodic energy audit. Periodic preventive maintenance of all components. Attempt any TWO of the following: Explain the necessity of compounding in steam turbine and draw a neat sketch of pressure velocity compounding. Sol. Necessity of compounding in steam turbine: Compounding of steam turbines is necessary 1) To reduce speed of rotor blades to practical limits. 2) To reduce centrifugal force and hence to prevent failure of blades. 3) To reduce velocity of steam leaving blades. If entire pressure drop from boiler pressure to condenser pressure is carried out in a single stage of nozzle then the velocity of steam entering the turbine blades will be very high. The turbine speed has to be also very high as it is directly proportional to steam velocity. Such high rpm of turbine rotor are not useful for practical purposes & there is a danger of structural failure of blades due to excessive centrifugal stresses. Hence compounding is carried out. Neat sketch of pressure velocity compounding. 01 mark each 12 Marks 03 marks 03 marks for figure Page 12 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ b) Sol. Figure: Pressure and Velocity compounding Explain the application of second law of thermodynamics to refrigerator. State any three functions of steam condenser. According to Clausius‘s statement “ heat cannot flow itself from cold body to a hot body without help of external agency” 01 mark diagram Figure: Refrigerator REFERIGERATOR is shown in the figure with cold body (T2) and hot body (atmosphere) (T1). A refrigerator is a device which maintains the temperature of cold body below the surrounding temp. The amount of heat taken from cold body which is to be cooled is Q2. For doing this work , external energy is required to the refrigerator. So heat rejected to atmosphere Q1= Q2 + W. As per the statement of Statement of Second Law of Thermodynamics, it is observed that refrigerator operates between the two different temperatures in a cyclic manner. It also extracts the heat from cold body only (storage space) and does the equivalent amount of work as shown. 03 marks explanation Page 13 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ In a full cycle of a refrigerator, three things happen: 1. Heat is absorbed from cold body, the heat can be called Q2. 2. Some of the energy from that input heat is used to perform work (W). 3. The rest of the heat is rejected to hot body (Q1). An performance of the refrigerator can be calculated as: Efficiency = Q1 / work W So it is cleared that the external energy is required to absorb heat from cold body and to reject it to hot body. c) Sol. Function of condenser: 02 marks 1) To maintain a very low back pressure so as to obtain the maximum possible energy from steam and thus secure a high efficiency. 2) To condense the steam and reuse it to supply as pure feed water to the hot well from where it is pumped back to the boiler. 3) To remove of air and non-condensable gases Derive characteristic gas equation using Boyle'S and Charle's law. Characteristic gas equation using Boyle’s & Charle’s law: Let us consider a unit mass of an ideal gas to change its state in following two processes as 01 mark for shown in fig. each step Here, process 1-2’ is at constant pressure Process 2’-2 is at constant temperature Now, applying Charle’s law for process 1-2’ We get Now, applying boyle’s law for process 2’-2 , P2’ V2 =P2 V2 ( T=C ) P1 V2’=P2 V2 ( As P2’= P1) 01 mark 01 mark Substituting eq (II) IN eq (I), We get Page 14 of 15 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ i.e consider m kg of gas , multiply eq (IIII) by m Therefore PV = m R T------......................................CHARACTERISTIC EQUATION Page 15 of 15 2018 WINTER 11819 3 Hours / 70 Marks Instructions – 22337 Seat No. (1) All Questions are Compulsory. (2) Answer each next main Question on a new page. (3) Illustrate your answers with neat sketches wherever necessary. (4) Assume suitable data, if necessary. (5) Use of Non-programmable Electronic Pocket Calculator is permissible. (6) Mobile Phone, Pager and any other Electronic Communication devices are not permissible in Examination Hall. (7) Use of Steam tables, logarithmic, Mollier’s chart is permitted. Marks 1. Attempt any FIVE of the following: 10 a) Define gray body. b) State the function of : (i) Fusible plug and (ii) Economiser c) Define: (i) Boiler efficiency (ii) Latent heat d) State Dalton’s law of partial pressure. P.T.O. 22337 [2] Marks e) Explain choked flow condition in nozzle. f) What is universal gas constant? g) Define: (i) Flow work (ii) Entropy 2. Attempt any THREE of the following: 12 a) Represent the following processes on P-V and T-S diagram. (i) Isentropic process (ii) Isobaric process b) Define irreversible process. State the factors making process irreversible. c) In a steam power cycle, the steam supply is at 15 bar and dry and saturated. The condenser pressure is 0.4 bar. Determine dryness fraction and enthalpy of steam. d) How steam turbines are classified? 3. Attempt any THREE of the following: a) Using the mollier chart, find the heat drop and final condition of steam when the steam from an initial pressure of 30 bar and temperature 350°C is expanded adiabatically to a pressure of 1 bar. b) State steady flow energy equation and apply it to condenser with block diagram. c) 3 m3 of gas at 30°C and 5 bar pressure is expanded isothermally to 1 bar with low PV = C. Find work done, change in internal energy and heat transferred. d) State the main features of Indian boiler regulations. (IBR) 12 22337 [3] Marks 4. Attempt any THREE of the following: 12 a) A cylinder contains 0.12 m3 of air at 1 bar and 90°C. It is compressed to 0.03 m3, the final pressure being 6 bar. Find the index of compression and increase in internal energy. b) Explain different losses in steam turbine. c) State: (i) Fourier’s law (ii) Newton’s law of cooling (iii) Radiation and (iv) Thermal conductivity d) State the advantages of regenerative feed heating. e) A balloon of spherical shape, 10 m in diameter is filled with H2 at 20°C and atm. pressure. The surrounding air is at 15°C and barometer reads 75 mm of Hg. Determine the load lifting capacity of the balloon. 5. Attempt any TWO of the following: a) (i) (ii) 12 Define throttling and state the purposes of it. Steam at a 6.87 bar, 205°C, enters in an insulated nozzle with velocity of 50 m/s. It leaves at a pressure of 1.37 bar and a velocity of 500 m/s. Determine the final enthalpy. b) Explain with neat sketch, construction and working of impulse turbine. c) Explain with neat sketch. Construction and working of plate type heat exchanger. State its applications. 6. Attempt any TWO of the following: a) Explain with neat sketch induced draught cooling tower. b) Explain with neat sketch. Construction and working of Loeffler boiler. c) (i) (ii) State the sources of air leakage in condenser. Steam enters a condenser at 36°C and with barometer reading 760 mm. If the vacuum of 695 mm is produced, find the vacuum efficiency. 12 MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ WINTER– 18 EXAMINATION Subject Name: Thermal Engineering Model Answer Subject Code: 22337 Important Instructions to examiners: 1) The answers should be examined by key words and not as word-to-word as given in the model answer scheme. 2) The model answer and the answer written by candidate may vary but the examiner may try to assess the understanding level of the candidate. 3) The language errors such as grammatical, spelling errors should not be given more Importance (Not applicable for subject English and Communication Skills. 4) While assessing figures, examiner may give credit for principal components indicated in the figure. The figures drawn by candidate and model answer may vary. The examiner may give credit for any equivalent figure drawn. 5) Credits may be given step wise for numerical problems. In some cases, the assumed constant values may vary and there may be some difference in the candidate’s answers and model answer. 6) In case of some questions credit may be given by judgement on part of examiner of relevant answer based on candidate’s understanding. 7) For programming language papers, credit may be given to any other program based on equivalent concept. Q. No. Sub Q. N. 1 a Answer Marking Scheme Attempt any Five 2 (i) Gray body :- A grey body is defined as a body with constant emissivity over all wavelengths and temperatures. It absorbs a definite percentage of incident energy irrespective of their wavelengths. Write functions of (i) Fusible plug-The function of the fusible plug is to put-off the fire in the furnace of the boiler when the water level falls below an unsafe level and thus avoids the explosion which may take place due to overhearing of the tubes and the shell. (ii) Economizer :- Function of economizers in steam power plants is to capture the waste heat from boiler flue gases and transfer it to the boiler feed water. This raises the temperature of the boiler feed water, lowering the needed energy input, in turn increase in boiler efficiency. b Define(ii) Boiler efficiency :-It is the ratio of heat actually used in producing the steam to the heat liberated in the furnace. It is also known as thermal efficiency of boiler. (iii) Latent heat:-It is energy absorbed or released by a substance during a change in its physical state (phase) that occurs without changing its temperature .e.g. latent heat of fusion and latent heat of vaporization . c 1 1 1 1 d Dalton’s law of partial pressure:- Dalton's law of partial pressures states that in a 2 mixture of non-reacting gases, the total pressure exerted is equal to the sum of the partial pressures of the individual gases. or Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ In a mixture of perfect gases, total pressure exerted by the mixture is the sum of partial pressures, which each gas would exert if it separately occupied the whole volume and was at the same temperature as the mixture. Ptotal = p1+p2+p3 +-------pn where p1, p2, ..., pn represent the partial pressures of each component. e f g Choked flow condition in nozzle :-Choked flow is a fluid dynamic condition associated with the Venturi effect. When a flowing fluid at a given pressure and temperature passes through a constriction (such as the throat of a convergent-divergent nozzle or a valve in a pipe) into a lower pressure environment the fluid velocity increases. Choked flow is a limiting condition where the mass flow will not increase with a further decrease in the downstream pressure environment while upstream pressure is fixed. Universal gas constant :- Universal gas constant or molar constant (denoted by Ru) of a gas is the product of the gas constant and the molecular mass of the gas. Ru is same for all gases. It is 8.314 KJ/Kg-mol K Ru =M X R M = Molecular mass of the gas expressed in kg-mole; R= Gas constant In general, M1, M2,M3 are the Molecular masses of different gases and R1,R2,R3 are their gas constants respectively, then M1R1=M2R2=M3R3 = - - - -= Ru (i) Flow work- This is the work necessary to advance the fluid against the existing pressure, . It is the work required to cause the flow of fluid in any passage. Flow work= PV where P= pressure of fluid, V= volume of fluid. 2 2 1 (ii) Entropy- Entropy is the extensive property of the system (depends on the mass of 1 the system) and its unit of measurement is J/K (Joule per degree Kelvin). Entropy is heat or energy change per degree Kelvin temperature. Entropy is denoted by ‘S’, while specific entropy is denoted by ‘s’ in all mathematical calculations. Entropy is defined as the property used to measure the quantity of energy or irreversibility of a process. Attempt any THREE 2 a I ) Isentropic process 2 Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ (i) Isobaric process 2 b A process is said to be irreversible if it cannot reach back to its original state without using external work. The spontaneous process will not be a reversible or quasi-static process. It is an irreversible process. There are many factors that make a process irreversible. Four of the most common causes of irreversibility are friction, unrestrained expansion of a fluid, heat transfer through a finite temperature difference, and mixing of two different substances. 2 Irreversibility is classified according their causes: i) External: The irreversibility caused by external physical factors like friction, resistance, viscosity, surface tension, finite temperature difference, etc. 2 The energy lost due to friction can never be regained. Hence, the direction of the process cannot be reversed without supplying external work. ii) Internal: Irreversibility caused by properties of the working fluid in a process like throttling or free expansion. When a gas expands, it uses its internal energy to do so. It cannot contract on its own and reverse the process. iii) Chemical: Irreversibility caused by internal chemical properties like structure, bonds, etc. When a chemical reaction occurs in association with absorption or liberation of heat, it cannot reverse spontaneously. Involvement of dissipative effect during the process will also be a cause of irreversibility of a process. There are following various types of dissipative effect during a process 1. 2. 3. 4. 5. Mechanical friction Magnetic hysteresis Electrical resistance Viscosity or fluid viscosity Inelasticity Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Steam supply 15 bar (dry saturated) Condenser pressure 0.4 bar Find dryness fraction and enthalpy of steam. From steam tables, At 15 bar, hf1=844.89 KJ/Kg;hfg1=1947.3; hg1=2792.2KJ/Kg; x1=1(Given); sf1=2.315; sfg1= 4.129 KJ/KgK At 0.4 bar, hf2=317.58;hfg2=2319.2; hg2=2636.8KJ/Kg;; sf2=1.0259; sfg2= 6.645 KJ/KgK Let x2 =Final dryness fraction Considering steam power cycle as isentropic, Initial Entropy= Final Entropy Sf1+x1 sfg1= sf2 + x2 sfg2 2.315+ 1 X 4.129 =1.0259 + x2 X 6.645 x2 = 0.815 (Dryness fraction) Final Enthalpy = hf2+ x2 X hfg2=2207.72 KJ/Kg c 2 2 Steam turbines may be classified in following ways: ( Any four ) d 1. According to working principle or Action of steam over blade : (a) Impulse Turbine 1 for each (b) Reaction Turbine (c) Impulse Reaction Turbine 2. According to the stage of expansion of steam: (a) Single stage turbine (b) Multistage turbine 3. According to the position of shaft : (a) Horizontal turbine (b) Vertical turbine 4. According to pressure of steam supplied: (a) High Pressure turbine (b) Low Pressure turbine 5. According to direction of steam flow: (a) Axial flow turbine (b) Radial flow turbine (c) Tangential flow turbine 6. According to exhaust steam pressure (a) Condensing type steam turbine Non-condensing type steam turbine Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 3 a From Mollier Chart 2 H2 = 2510 at point B and H1 = 3130 at point A Heat drop = H1 - H2 = 3130 - 2510 = 620 kJ/kg 2 Final condition of steam From Mollier chart at point B dryness fraction is 0.90 b steady flow equation can be expressed as: Internal Energy at 1 + Potential Energy at 1 + Kinetic Energy at 1 + Flow work at 1 + Heat supplied = Internal Energy at 2 + Potential Energy at 2 + Kinetic Energy at 2 + Flow work at 2 + Work done Hence the steady flow energy equation is, Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 1 Where, h1& h2 = Enthalpy at inlet and outlet in J /kg C1& C2 = velocity at inlet and out of fluid---- m/s Z1 and Z2 = height of inlet & outlet above datum 1 Q = heat supplied per ---------------Joule W = work done by 1 kg of fluid----Joule PV = Flow work---------N-m or Joule Application : Steam Condenser :- It is a device to condensed the exhaust steam Heat- is lost hence q is – ve Applying SFEE 2 Fig: Steam condenser Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ c Given : V1 = 3 m3 T1 = 30 OC , P2 = 1 bar 1 For isothermal process PV = C P1V1 = P2V2 5 x 105 x 3 = 1 x 105 x V2 2 V2 = 15 X 105 Work done : dW = P1V1 loge (V2/V1) 1 = 5 x 105 x 3 loge ( 15/3) dW = 2.41 x 106 kJ/kg For Isothermal process dW = dQ and dU = 0 d Features of Indian Boiler regulation : ( Any Four points 1 mark each) 1. A boiler cannot be put to use unless it has been registered with the Chief Inspector of Boilers. 2. The maximum working pressure of the boiler has to be determined by Boiler Inspector who will issue certificate for this. Owner cannot exceed this pressure limit in any case. 3. In case of accident, it should be reported by owner within 24 hours with full details. 4. The rules, regulations and bye-laws governing the upkeep and maintenance of boilers, procedure of registration, inspection and certification of maximum pressure, safety conditions etc. are subject to a revision by a Central Board under control of Govt. of India. 5. The boiler house plan, chimney design (Max height 30.48 m from floor) should be approved by boiler inspector. 6. Owner should apply for registration in prescribed format, inspector should fix date of inspection within 30 days, conduct inspection/examination of boiler, Issue the certificate of registration not exceeding 12 months period. 7. Following inspections are carried out by Boiler Inspector at various stages/ levels /need>Inspection for registration, Hydraulic test, steam test, annual inspection, Inspection under steam, Internal inspection, Accident inspection, Casual inspection 8. Violation of law is liable to prosecution and punishment with fine. 01 for each Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ 4 a Given : Initial Volume of air =V1 : 0.12 m3 Initial pressure of air = P1: 1 bar Initial temperature of air = T1 : 90 + 273 = 360 K Final Volume of air = V2 : 0.03m3 Final Pressure of air = P2 : 6 bar P1V1 = mRT1 1 x 105 x 0.12 = m x 289 x 360 m = 1.15 kg Assume compression to be polytrophic P1/ P2 = (V2/V1)n 2 1/6 = ( 0.03/0.12)n n = 1.29 We know that P1V1/T1 = P2V2/T2 (1 x 0.12) / 360 = (6 x 0.03) / T2 T2 = 540 K Increase in internal energy 2 = m Cv ( T2 - T1) = 1.15 x 0.72 x (540 – 360) = 149.04 kJ b Energy losses in steam turbines [Any four points with explanation 01 mark each] (i) Residual velocity loss- The steam leaves the turbine with a certain absolute velocity which results in loss of KE. This loss is about 10 to 12% .It can be reduced by multistaging. 01 for (ii) Losses in regulating valves-Due to throttling action in valve , steam pressure drop occurs. each Hence steam pressure at entry to turbine is less than the boiler pressure. (iii) Losses due to friction in nozzle-Friction occurs both in nozzle and turbine blades. In nozzle, nozzle efficiency is considered, whereas in turbines, blade velocity coefficient is taken into account. This loss is about 10% (iv) Loss due to leakage-The leakage occurs between the shaft, bearings and stationary diaphragms carrying the nozzles in case of impulse turbines. In reaction turbine the leakage occurs at blade tips. This is about 1-2%. (v) Loss due to mechanical friction-This occurs in bearings and may be reduced by lubrication (vi) Loss due to wetness of steam-In multistage turbine, condensation occurs at last stage ,so in dragging water particles with steam, some KE of stem is lost (vii) Radiation loss-As turbines are heavily insulated to reduce the heat loss to surroundings by radiation and so these losses are negligible Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ c State : ( 1 Mark for each definition ) i) Fourier’s law: “Fourier's law states that the rate of heat flow, dQ/dt, through a homogeneous solid is directly proportional to the area, A, of the section at right angles to the 01 for each direction of heat flow, and to the temperature difference along the path of heat flow, dT/dx. ii) Newtons Law of cooling : “The rate of cooling of a body is directly proportional to the difference in temperature of the body (T) and surrounding (T o), provided difference in temperature should not be exceed by 30 OC iii) Radiation – It is process of heat transfer between two bodies without any carrying medium through different kind of electro-magnetic wave. iv) Thermal Conductivity : It is defined as amount of energy flow through a body of unit area and unit thickness in unit time when the difference in temperature between the faces carrying the heat flow is 1 0C . Thermal conductivity depends on molecular structure, specific gravity etc . d Advantages of feed heating: (1 mark each) 01 for each 1.The thermal efficiency of boiler increases as heat input decreases. 2. Capacity of Condenser changes 3. Reduce fuel consumption. 4. Thermal stress in the boiler reduces as temperature difference is decrease due to hot feed water is supplied 5. Overall efficiency of the plant increase. e Volume of balloon = π r3 V= π (5)3 = 523 .6 m3 MR = 8.3143 R= = 4.15715 kJ/kg K Pressure of hydrogen in the balloon = Atmospheric pressure = 101.325 kN / m2 2 Applying gas equation , PV = mRT Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Mass of air hydrogen in balloon = = 101.325 x 523.6 / 4.15715 x (20 +273) = 43.56 kg The volume of air displaced by the balloon = Volume of the balloon m= = (101.325 x 523.6) / 0.287 x ( 20 +273) = 630 .91 kg Total load lifted by the balloon = 630.91 - 43.56 2 = 587.35 kg 5 a(i) Throttling: When fluid or gas flow through the restricted passage like a plate with partially opened valve 1 or suddenly reduce the diameter of the pipe pressure drop occur. The kinetic energy at the inlet and outlet is very small and there is no change in potential energy and there is no work done and there is enough time to appreciate heat transfer. It can show that there is an abrupt change in pressure (high pressure converted into low pressure) between the inlet and outlet at constant enthalpy. It is called throttling process. Purpose of throttling: 2 1. For determining the condition of steam 2. used in refrigeration plant 3. Liquefaction of gas 4. in many cryogenic application Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ ii 3 b 2 Figure: Impulse Turbine Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Construction: Impulse turbine consist of one fixed set of nozzle mounted on a stationary diaphragm that 2 orient the steam flow into high speed jets, which is followed by one set of moving blade ring as shown in Fig. for a single stage impulse turbine. Working: In impulse turbine power is developed by the impulsive force of high velocity jet or jets 2 which contain significant kinetic energy which is converted in to shaft rotation by the bucket-like shaped rotor blades, as the steam jet changes direction. A pressure drop occurs across only the stationary blades, with a net increase in steam velocity across the stage. As the steam flows through the nozzle its pressure falls from inlet pressure to the exit pressure. The high velocity steam jets are obtained by complete expansion of steam in the stationary nozzles fitted in diaphragm then this velocity steam passes through moving blade with no drop in pressure but a gradual reduction in velocity. In pure impulse steam turbine the high velocity jet from nozzle strikes on the blades mounted on the wheel attached to the shaft. Theses blades change the direction of steam and hence momentum of the jet of steam which rotate the shaft. c 2 Figure: Plate type heat exchanger Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ It consists of closely spaced parallel plates fins held in between. The plate separate the two fluids which flow through passages alternately, formed between plates.it also has fin attached 2 over primary heat transfer surface so as to increase heat transfer areas. This improves the effectiveness of heat exchanger. The counter flow or parallel flow arrangement can also be possible. The fin may be plain fin are attached to plate by brazing or soldering. They are more suitable for gas to gas application. Applications: a. Milk chilling plants 2 b. Radiator in automobile c. Air conditioning d. Food industries 6 a Induced draught cooling towers: 3 Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Figure: Induced draught cooling tower Construction: In this, fan is located at the top of the tower and air enters the side of the tower. The hot water from the condenser is sprayed in the tower from top. Drift eliminator are attached 3 below the fan to remove the water in the air. Louvers are attached both the side of the tower for air. Working: Depending on the air inlet and flow pattern, induced draft towers are of two types, crossflow and counter flow towers. Figure shows that schematic diagram of a induced draught cooling tower. In this system, a fan is installed at the top of the cooling tower. The hot water from the condenser is supplied at the top of the cooling tower which is sprayed through the nozzles. Fan sucks the air from louvers and cools the water. The water in the air is eliminated by drift eliminator. b 2 Figure: Loeffler Boiler Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ Construction : 1. Loeffler boiler consists of evaporator drum, which may be placed at any convenient point outside the furnace setting. 2. The evaporator drum which is used provided with set of nozzle through which steam 2 enters in evaporator drum. 3. Nozzles are made of special design to avoid priming and noise. 4. The feed water pumps feed the water to economizer, which is placed in the path of flue gases. 5. This is water tube boiler using a forced circulation. 6. In this boiler water is heated mainly by means of superheated steam. 7. The steam will act as heat carrying and heat absorbing medium. 8. Thus, boiler uses the circulation of steam instead of water and difficulty of deposition of salt and sediment in boiler tubes is completely eliminated. Working: The economizer extracts sensible heat from flue gases and hot water 1. at temp. close to saturation temp. is passed to evaporator drum. 2. From super heater big portion of steam (about 3/4) is trapped off for external use and remainder portion (about 1/4) is passed to evaporator drum. 2 3. The steam from evaporator drum is passed to super heater through circulating pump. 4. The air preheater maybe placed in path of flue gases to supply the hot air in combustion chamber. Loeffler boiler has steam-generating capacity of 100 tons/hour at 140 bar pressure. C (i) The main sources of air leakage found in condenser are given below: 1) There is leakage of air from atmosphere at the joint of the parts which are internally under a pressure less than atmospheric pressure. 2) Air is also accompanied with steam from the boiler into which it enters dissolved in feed water. 3) 3 In jet condensers, a little quantity of air accompanies the injection water. Page No: ____/ N MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001 - 2013 Certified) __________________________________________________________________________________________________ (ii) 3 Page No: ____/ N