ME6502 HEAT AND MASS TRANSFER L T P C 3 0 0 3
ME6502HEAT AND MASS TRANSFER L T P C 3 0 0 3UNIT I CONDUCTION9General Differential equation of Heat Conduction– Cartesian and Polar Coordinates – OneDimensional Steady State Heat Conduction –– plane and Composite Systems – Conductionwith Internal Heat Generation – Extended Surfaces – Unsteady Heat Conduction –Lumped Analysis –Semi Infinite and Infinite Solids –Use of Heisler‟s charts.UNIT II CONVECTION9Free and Forced Convection - Hydrodynamic and Thermal Boundary Layer. Free andForced Convection during external flow over Plates and Cylinders and Internal flowthrough tubes.UNIT III PHASE CHANGE HEAT TRANSFER AND HEAT EXCHANGERS 9Nusselt‟s theory of condensation - Regimes of Pool boiling and Flow boiling. Correlationsin boiling and condensation. Heat Exchanger Types - Overall Heat Transfer Coefficient –Fouling Factors -Analysis – LMTD method - NTU method.UNIT IV RADIATION9Black Body Radiation – Grey body radiation - Shape Factor – Electrical Analogy –Radiation Shields.Radiation through gases.UNIT V MASS TRANSFER9Basic Concepts – Diffusion Mass Transfer – Fick‟s Law of Diffusion – Steady stateMolecular Diffusion– Convective Mass Transfer – Momentum, Heat and Mass TransferAnalogy –Convective Mass Transfer Correlations.TOTAL : 45 PERIODSTEXT BOOK:1. Yunus A. Cengel, "Heat Transfer A Practical Approach", Tata McGraw Hill, 2010.1EASWARI ENGINEERING COLLEGE
REFERENCE BOOKS:1. Frank P. Incropera and David P. Dewitt, "Fundamentals of Heat and Mass Transfer",John Wiley & Sons, 1998.2. Venkateshan. S.P., "Heat Transfer", Ane Books, New Delhi, 2004.3. Ghoshdastidar, P.S, "Heat Transfer", Oxford, 2004,4. Nag, P.K., "Heat Transfer", Tata McGraw Hill, New Delhi, 20025. Holman, J.P., "Heat and Mass Transfer", Tata McGraw Hill, 20006. Ozisik, M.N., "Heat Transfer", McGraw Hill Book Co., 1994.7. Kothandaraman, C.P., "Fundamentals of Heat and Mass Transfer", New AgeInternational, New Delhi, 1998.8. Yadav, R., "Heat and Mass Transfer", Central Publishing House, 1995.9. M.Thirumaleshwar : Fundamentals of Heat and Mass Transfer, "Heat and MassTransfer", First Edition, Dorling Kindersley, 20092
SECTION B: QUESTIONSUNIT-I CONDUCTIONPART-A1. State Fourier’s Law of conduction.2. Define Thermal Conductivity.3. Write down the equation for conduction of heat through a slab or plane wall.4. Write down the equation for conduction of heat through a hollow cylinder.5. State Newton’s law of cooling or convection law.6. Write down the general equation for one dimensional steady state heat transfer in slab orplane wall with and without heat generation.7. Define overall heat transfer co-efficient.8. Write down the equation for heat transfer through composite pipes or cylinder.9. What is critical radius of insulation (or) critical thickness?10. Define fins (or) extended surfaces.11. State the applications of fins.12. Define Fin efficiency.13. What is meant by Lumped heat analysis?14. Define Fin effectiveness.15. What are Heisler charts?PART -B1. A wall is constructed of several layers. The first layer consists of masonry brick 20 cm.thick of thermal conductivity 0.66 W/mK, the second layer consists of 3 cm thick mortar ofthermal conductivity 0.6 W/mK, the third layer consists of 8 cm thick lime stone ofthermal conductivity 0.58 W/mK and the outer layer consists of 1.2 cm thick plaster ofthermal conductivity 0.6 W/mK. The heat transfer coefficient on the interior and exteriorof the wall are 5.6 W/m2K and 11 W/m2K respectively. Interior room temperature is 22 Cand outside air temperature is -5 C.Calculatea) Overall heat transfer coefficientb) Overall thermal resistancec) The rate of heat transferd) The temperature at the junction between the mortar and the limestone.2. A furnace wall made up of 7.5 cm of fire plate and 0.65 cm of mild steel plate. Insidesurface exposed to hot gas at 650 C and outside air temperature 27 C. The convective heattransfer co-efficient for inner side is 60 W/m2K. The convective heat transfer co-efficientfor outer side is 8W/m2K. Calculate the heat lost per square meter area of the furnace walland also find outside surface temperature.3. A steel tube (K 43.26 W/mK) of 5.08 cm inner diameter and 7.62 cm outer diameter iscovered with 2.5 cm layer of insulation (K 0.208 W/mK) the inside surface of the tubereceivers heat from a hot gas at the temperature of 316 C with heat transfer co-efficient of28 W/m2K. While the outer surface exposed to the ambient air at 30 C with heat transferco-efficient of 17 W/m2K. Calculate heat loss for 3 m length of the tube.4. Derive an expression of Critical Radius of Insulation for a Cylinder.3
5. A wire of 6 mm diameter with 2 mm thick insulation (K 0.11 W/mK). If theconvective heat transfer co-efficient between the insulating surface and air is 25 W/m2L,find the critical thickness of insulation. And also find the percentage of change in the heattransfer rate if the critical radius is used.6. An aluminium alloy fin of 7 mm thick and 50 mm long protrudes from a wall, which ismaintained at 120 C. The ambient air temperature is 22 C. The heat transfer coefficientand conductivity of the fin material are 140 W/m2K and 55 W/mK respectively. Determine1. Temperature at the end of the fin.2. Temperature at the middle of the fin.3. Total heat dissipated by the fin.7. A copper plate 2 mm thick is heated up to 400 C and quenched into water at 30 C. Findthe time required for the plate to reach the temperature of 50 C. Heat transfer co-efficientis 100 W/m2K. Density of copper is 8800 kg/m3. Specific heat of copper 0.36 kJ/kg K.Plate dimensions 30 30 cm.8. A steel ball (specific heat 0.46 kJ/kgK. and thermal conductivity 35 W/mK) having5 cm diameter and initially at a uniform temperature of 450 C is suddenly placed in acontrol environment in which the temperature is maintained at 100 C. Calculate the timerequired for the balls to attained a temperature of 150 C. Take h 10W/m2K.9. Alloy steel ball of 2 mm diameter heated to 800 C is quenched in a bath at 100 C. Thematerial properties of the ball are K 205 kJ/m hr K, ρ 7860 kg/m3, Cρ 0.45 kJ/kg K, h 150 KJ/ hr m2 K. Determine (i) Temperature of ball after 10 second and (ii) Time for ballto cool to 400 C.Take K for steel 42.5 W/mK, α for steel 0.043 m2/hr.10. A large steel plate 5 cm thick is initially at a uniform temperature of 400 C. It issuddenly exposed on both sides to a surrounding at 60 C with convective heat transfer coefficient of 285 W/m2K. Calculate the centre line temperature and the temperature insidethe plate 1.25 cm from themed plane after 3 minutes.UNIT-II CONVECTIONPART-A1. Define convection.2. Define Reynolds number (Re) & Prandtl number (Pr).3. Define Nusselt number (Nu).4. Define Grash of number (Gr) & Stanton number (St).5. What is meant by Newtonian and non – Newtonian fluids?6. What is meant by laminar flow and turbulent flow?7. What is meant by free or natural convection & forced convection?8. Define boundary layer thickness.9. What is the form of equation used to calculate heat transfer for flow throughcylindrical pipes?4
10. What is hydrodynamic boundary layer?11. What is thermal boundary layer?12. State Buckingham π theorem.13. State Newton’s law of convection.14. Sketch the boundary development of a flow.15. Indicate the significance of boundary layer.PART-B1. Air at 20 C, at a pressure of 1 bar is flowing over a flat plate at a velocity of 3 m/s. if theplate maintained at 60 C, calculate the heat transfer per unit width of the plate. Assumingthe length of the plate along the flow of air is 2m.2. Air at 20 C at atmospheric pressure flows over a flat plate at a velocity of 3 m/s. if theplate is 1 m wide and 80 C, calculate the following at x 300 mm.1. Hydrodynamic boundary layer thickness,2. Thermal boundary layer thickness,3. Local friction coefficient,4. Average friction coefficient,5. Local heat transfer coefficient6. Average heat transfer coefficient,7. Heat transfer.3. Air at 30 C flows over a flat plate at a velocity of 2 m/s. The plate is 2 m long and 1.5 mwide. Calculate the following:1. Boundary layer thickness at the trailing edge of the plate,2. Total drag force,3. Total mass flow rate through the boundary layer between x 40 cm and x 85 cm.4. Air at 290 C flows over a flat plate at a velocity of 6 m/s. The plate is 1m long and 0.5m wide. The pressure of the air is 6 kN/2. If the plate is maintained at a temperature of70 C, estimate the rate of heat removed from the plate.5. Air at 40 C flows over a flat plate, 0.8 m long at a velocity of 50 m/s. The plate surfaceis maintained at 300 C. Determine the heat transferred from the entire plate length to airtaking into consideration both laminar and turbulent portion of the boundary layer. Alsocalculate the percentage error if the boundary layer is assumed to be turbulent nature fromthe very leading edge of the plate.6. 250 Kg/hr of air are cooled from 100 C to 30 C by flowing through a 3.5 cm innerdiameter pipe coil bent in to a helix of 0.6 m diameter. Calculate the value of air side heattransfer coefficient if the properties of air at 65 C areK 0.0298 W/mKµ 0.003 Kg/hr – mPr 0.7ρ 1.044 Kg/m37. In a long annulus (3.125 cm ID and 5 cm OD) the air is heated by maintaining thetemperature of the outer surface of inner tube at 50 C. The air enters at 16 C and leaves at5
32 C. Its flow rate is 30 m/s. Estimate the heat transfer coefficient between air and theinner tube.8. Engine oil flows through a 50 mm diameter tube at an average temperature of 147 C.The flow velocity is 80 cm/s. Calculate the average heat transfer coefficient if the tube wallis maintained at a temperature of 200 C and it is 2 m long.9. A large vertical plate 4 m height is maintained at 606 C and exposed to atmospheric airat 106 C. Calculate the heat transfer is the plate is 10 m wide.10. A thin 100 cm long and 10 cm wide horizontal plate is maintained at a uniformtemperature of 150 C in a large tank full of water at 75 C. Estimate the rate of heat to besupplied to the plate to maintain constant plate temperature as heat is dissipated from eitherside of plate.UNIT-IIIPHASE CHANGE HEAT TRANSFER AND HEAT EXCHANGERSPART-A1. What is meant by Boiling and condensation?2. Give the applications of boiling and condensation.3. What is meant by pool boiling?4. What is meant by Film wise and Drop wise condensation?5. Give the merits of drop wise condensation?6. What is heat exchanger?7. What are the types of heat exchangers?8. What is meant by Direct heat exchanger (or) Open heat exchanger?9. What is meant by Indirect contact heat exchanger?10. What is meant by Regenerators?11. What is meant by Recuperater (or) surface heat exchangers?12. What is meant by parallel flow and counter flow heat exchanger?13. What is meant by shell and tube heat exchanger?14. What is meant by compact heat exchangers?15. What is meant by LMTD?16. What is meant by Fouling factor?17. What is meant by effectiveness?PART-B1. Water is boiled at the rate of 24 kg/h in a polished copper pan, 300 mm in diameter, atatmospheric pressure. Assuming nucleate boiling conditions calculate the temperature ofthe bottom surface of the pan.2. A nickel wire carrying electric current of 1.5 mm diameter and 50 cm long, issubmerged in a water bath which is open to atmospheric pressure. Calculate the voltage atthe burn out point, if at this point the wire carries a current of 200A.3. Water is boiling on a horizontal tube whose wall temperature is maintained ct 15 Cabove the saturation temperature of water. Calculate the nucleate boiling heat transfer6
coefficient. Assume the water to be at a pressure of 20 atm. And also find the change invalue of heat transfer coefficient when1. The temperature difference is increased to 30 C at a pressure of 10 atm.2. The pressure is raised to 20 atm at T 15 C4. A vertical flat plate in the form of fin is 500m in height and is exposed to steam atatmospheric pressure. If surface of the plate is maintained at 60 C. calculate the following.1. The film thickness at the trailing edge2. Overall heat transfer coefficient3. Heat transfer rate4. The condensate mass flow rate.Assume laminar flow conditions and unit width of the plate.5. Steam at 0.080 bar is arranged to condense over a 50 cm square vertical plate. Thesurface temperature is maintained at 20 C. Calculate the following.a. Film thickness at a distance of 25 cm from the top of the plate.b. Local heat transfer coefficient at a distance of 25 cm from the top of the plate.c. Average heat transfer coefficient.d. Total heat transfere. Total steam condensation rate.f. What would be the heat transfer coefficient if the plate is inclined at 30 C withhorizontal plane.6. A condenser is to be designed to condense 600 kg/h of dry saturated steam at a pressureof 0.12 bar. A square array of 400 tubes, each of 8 mm diameter is to be used. The tubesurface is maintained at 30 C. Calculate the heat transfer coefficient and the length of eachtube.UNIT-IV RADIATIONPART-A1. Define emissive power [E] and monochromatic emissive power. [Ebλ]2. What is meant by absorptivity, reflectivity and transmissivity?3. What are black body and gray body?4. State Planck’s distribution law.5. State Wien’s displacement law.6. State Stefan – Boltzmann law.7. Define Emissivity.8. State Kirchoff’s law of radiation.9. Define intensity of radiation (Ib).10. State Lambert’s cosine law.11. What is the purpose of radiation shield?12. Define irradiation (G) and radiosity (J)13. What is meant by shape factor?14. What are the assumptions made to calculate radiation exchange between thesurfaces?15. Discuss the radiation characteristics of carbon dioxide and water vapour.PART-B7
1. A black body at 3000 K emits radiation. Calculate the following:i)Monochromatic emissive power at 7 µm wave length.ii)Wave length at which emission is maximum.iii) Maximum emissive power.iv) Total emissive power,v)Calculate the total emissive of the furnace if it is assumed as a real surfacehaving emissivity equal to 0.85.2. Assuming sun to be black body emitting radiation at 6000 K at a mean distance of 12 1010 m from the earth. The diameter of the sun is 1.5 109 m and that of the earth is 13.2 106 m. Calculation the following.1. Total energy emitted by the sun.2. The emission received per m2 just outside the earth’s atmosphere.3. The total energy received by the earth if no radiation is blocked by the earth’satmosphere.4. The energy received by a 2 2 m solar collector whose normal is inclined at 45 tothe sun. The energy loss through the atmosphere is 50% and the diffuse radiation is20% of direct radiation.3. Two black square plates of size 2 by 2 m are placed parallel to each other at a distanceof 0.5 m. One plate is maintained at a temperature of 1000 C and the other at 500 C. Findthe heat exchange between the plates.4. Two parallel plates of size 3 m 2 m are placed parallel to each other at a distance of 1m. One plate is maintained at a temperature of 550 C and the other at 250 C and theemissivities are 0.35 and 0.55 respectively. The plates are located in a large room whosewalls are at 35 C. If the plates located exchange heat with each other and with the room,calculate.1. Heat lost by the plates.2. Heat received by the room.5. A gas mixture contains 20% CO2 and 10% H2o by volume. The total pressure is 2 atm.The temperature of the gas is 927 C. The mean beam length is 0.3 m. Calculate theemissivity of the mixture.6. Two black square plates of size 2 by 2 m are placed parallel to each other at a distanceof 0.5 m. One plate is maintained at a temperature of 1000 C and the other at 500 C. Findthe heat exchange between the plates.UNIT-V MASS TRANSFERPART-A1. What is mass transfer?2. Give the examples of mass transfer.3. What are the modes of mass transfer?4. What is molecular diffusion?5. What is Eddy diffusion?6. What is convective mass transfer?7. State Fick’s law of diffusion.8
8. What is free convective mass transfer?9. Define forced convective mass transfer.10. Define Schmidt Number.11. Define Scherwood Number.12. Give two examples of convective mass transfer.13. Define Mass concentration.14. What do you understand by Molar concentration?15. Define Mass fraction.PART-B1. Hydrogen gases at 3 bar and 1 bar are separated by a plastic membrane having thickness0.25 mm. the binary diffusion coefficient of hydrogen in the plastic is 9.1 10-3 m2/s. Thesolubility of hydrogen in the membrane is 2.1 10-3 kg molem3 barAn uniform temperature condition of 20 is assumed.Calculate the following1. Molar concentration of hydrogen on both sides2. Molar flux of hydrogen3. Mass flux of hydrogen2. Oxygen at 25 C and pressure of 2 bar is flowing through a rubber pipe of insidediameter 25 mm and wall thickness 2.5 mm. The diffusivity of O2 through rubber is 0.21 10-9 m2/s and the solubility of O2 in rubber is 3.12 10-3 kg3 mole . Find the loss of O2 bym bardiffusion per metre length of pipe.3. An open pan 210 mm in diameter and 75 mm deep contains water at 25 C and isexposed to dry atmospheric air. Calculate the diffusion coefficient of water in air. Take therate of diffusion of water vapour is 8.52 10-4 kg/h.4. An open pan of 150 mm diameter and 75 mm deep contains water at 25 C and isexposed to atmospheric air at 25 C and 50% R.H. Calculate the evaporation rate of waterin grams per hour.5. Air at 10 C with a velocity of 3 m/s flows over a flat plate. The plate is 0.3 m long.Calculate the mass transfer coefficient.9
SECTION B: QUESTIONS & ANSWERSUNIT-I CONDUCTIONPART-A1. State Fourier’s Law of conduction.The rate of heat conduction is proportional to the area measured – normal to the directionof heat flow and to the temperature gradient in that direction.Qα - AdTdxQ - KAdTdxwhere A – are in m2dT- Temperature gradient in K/mdxK – Thermal conductivity W/mK.2. Define Thermal Conductivity.Thermal conductivity is defined as the ability of a substance to conduct heat.3. Write down the equation for conduction of heat through a slab or plane wall.Heat transfer Q R ToverallR T T1 – T2WhereL- Thermal resistance of slabKAL Thickness of slab,K Thermal conductivity of slab,A Area4. Write down the equation for conduction of heat through a hollow cylinder.Heat transfer Q R r 1in 2 2π LK r1 ToverallRWhere, T T1 – T2thermal resistance of slabL – Length of cylinder, K – Thermal conductivity, r2 – Outer radius , r1 – inner radius5. State Newton’s law of cooling or convection law.Heat transfer by convection is given by Newton’s law of coolingQ hA (Ts - T )WhereA – Area exposed to heat transfer in m2 ,h- heat transfer coefficient in W/m2KTs – Temperature of the surface in K,T - Temperature of the fluid in K.6. Write down the general equation for one dimensional steady state heat transfer inslab or plane wall with and without heat generation. 2T 2T 2T 1 T x 2 y 2 z 2 t 2T 2T 2T q 1 T x 2 y 2 z 2 K α t7. Define overall heat transfer co-efficient.The overall heat transfer by combined modes is usually expressed in terms of an overallconductance or overall heat transfer co-efficient ‘U’.Heat transfer Q UA T.10
8. Write down the equation for heat transfer through composite pipes or cylinder.Heat transfer Q ToverallR ,Where , T Ta–Tb, r r In 2 In 1 L2rr111R 1 2 .2π L ha r1K1K2hb r39. What is critical radius of insulation (or) critical thickness?Addition of insulating material on a surface does not reduce the amount of heat transferrate always. In fact under certain circumstances it actually increases the heat loss up tocertain thickness of insulation. The radius of insulation for which the heat transfer ismaximum is called critical radius of insulation, and the corresponding thickness is calledcritical thickness.10. Define fins (or) extended surfaces.It is possible to increase the heat transfer rate by increasing the surface of heat transfer.The surfaces used for increasing heat transfer are called extend
2 REFERENCE BOOKS: 1. Frank P. Incropera and David P. Dewitt, "Fundamentals of Heat and Mass Transfer", John
Basic Heat and Mass Transfer complements Heat Transfer,whichispublished concurrently. Basic Heat and Mass Transfer was developed by omitting some of the more advanced heat transfer material fromHeat Transfer and adding a chapter on mass transfer. As a result, Basic Heat and Mass Transfer contains the following chapters and appendixes: 1.
Abstract—Recently, heat and mass transfer simulation is more and more important in various engineering fields. In order to analyze how heat and mass transfer in a thermal environment, heat and mass transfer simulation is needed. However, it is too much time-consuming to obtain numerical solutions to heat and mass transfer equations.
Both temperature and heat transfer can change with spatial locations, but not with time Steady energy balance (first law of thermodynamics) means that heat in plus heat generated equals heat out 8 Rectangular Steady Conduction Figure 2-63 from Çengel, Heat and Mass Transfer Figure 3-2 from Çengel, Heat and Mass Transfer The heat .
1 INTRODUCTION TO HEAT TRANSFER AND MASS TRANSFER 1.1 HEAT FLOWS AND HEAT TRANSFER COEFFICIENTS 1.1.1 HEAT FLOW A typical problem in heat transfer is the following: consider a body “A” that e
23.10 Radiant Heat Transfer Between Gray Surfaces 381 23.11 Radiation from Gases 388 23.12 The Radiation Heat-Transfer Coefficient 392 23.13 Closure 393 24. Fundamentals of Mass Transfer 398 24.1 Molecular Mass Transfer 399 24.2 The Diffusion Coefficient 407 24.3 Convective Mass Transfer 428 24.4 Closure 429 25.
Chapter 1 : Basic concepts of heat transfer through fabrics 1.1. Introduction 1.2. Heat 1.3. Convection heat transfer 1.4. Conduction heat transfer 1.5. Radiation heat transfer . moisture regulation to and from human body through engineering of fibers, yarns and fabric construction, and developing fabric finishes. Fabric can thus be designed .
Young I. Cho Principles of Heat Transfer Kreith 7th Solutions Manual rar Torrent Principles.of.Heat.Transfer.Kreith.7th.Sol utions.Manual.rar (Size: 10.34 MB) (Files: 1). Fundamentals of Heat and Mass Transfer 7th Edition - Incropera pdf. Principles of Heat Transfer_7th Ed._Frank Kreith, Raj M. Manglik Principles of Heat Transfer. 7th Edition
ASTM A 6/A 6M ASTM A153/A 153M ASTM A 325 (A 325M) ASTM A 490 (A490M) ASTM A 919 ASTM F 568M Class 4.6 . Section 501—Steel Structures Page 2 501.1.03 Submittals A. Pre-Inspection Documentation Furnish documentation required by the latest ANSI/AASHTO/AWS D 1.5 under radiographic, ultrasonic, and magnetic particle testing and reporting to the State’s inspector before the quality assurance .
