Heat Transfer: A Practical Approach

873 Pages·2002·12.396 MB·English

by  Yunus A. Cengel

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O N T E N T S
Preface xviii C H A P T E R T W O
Nomenclature xxvi
HEAT CONDUCTION EQUATION 61
2-1 Introduction 62
C H A P T E R O N E
Steady versus Transient Heat Transfer 63
BASICS OF HEAT TRANSFER 1 Multidimensional Heat Transfer 64
Heat Generation 66
2-2 One-Dimensional
1-1 Thermodynamics and Heat Transfer 2
Heat Conduction Equation 68
Application Areas of Heat Transfer 3
Heat Conduction Equation in a Large Plane Wall 68
Historical Background 3
Heat Conduction Equation in a Long Cylinder 69
1-2 Engineering Heat Transfer 4 Heat Conduction Equation in a Sphere 71
Combined One-Dimensional
Modeling in Heat Transfer 5 Heat Conduction Equation 72
1-3 Heat and Other Forms of Energy 6 2-3 General Heat Conduction Equation 74
Specific Heats of Gases, Liquids, and Solids 7 Rectangular Coordinates 74
Energy Transfer 9 Cylindrical Coordinates 75
Spherical Coordinates 76
1-4 The First Law of Thermodynamics 11
2-4 Boundary and Initial Conditions 77
Energy Balance for Closed Systems (Fixed Mass) 12
Energy Balance for Steady-Flow Systems 12 1 Specified Temperature Boundary Condition 78
Surface Energy Balance 13 2 Specified Heat Flux Boundary Condition 79
3 Convection Boundary Condition 81
1-5 Heat Transfer Mechanisms 17 4 Radiation Boundary Condition 82
5 Interface Boundary Conditions 83
1-6 Conduction 17
6 Generalized Boundary Conditions 84
Thermal Conductivity 19 2-5 Solution of Steady One-Dimensional
Thermal Diffusivity 23 HeatConduction Problems 86
1-7 Convection 25 2-6 Heat Generation in a Solid 97
1-8 Radiation 27 2-7 Variable Thermal Conductivity, k(T) 104
1-9 Simultaneous Heat Transfer Mechanisms 30 Topic of Special Interest:
A Brief Review of Differential Equations 107
1-10 Problem-Solving Technique 35 Summary 111
References and Suggested Reading 112
A Remark on Significant Digits 37
Problems 113
Engineering Software Packages 38
Engineering Equation Solver (EES) 39
C H A P T E R T H R E E
Heat Transfer Tools (HTT) 39
Topic of Special Interest: STEADY HEAT CONDUCTION 127
Thermal Comfort 40
Summary 46
3-1 Steady Heat Conduction in Plane Walls 128
References and Suggested Reading 47
Problems 47 The Thermal Resistance Concept 129
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CONTENTS
Thermal Resistance Network 131 4 Complications 268
Multilayer Plane Walls 133 5 Human Nature 268
3-2 Thermal Contact Resistance 138 5-2 Finite Difference Formulation of
3-3 Generalized Thermal Resistance Networks 143 DifferentialEquations 269
3-4 Heat Conduction in Cylinders and Spheres 146 5-3 One-Dimensional Steady Heat Conduction 272
Multilayered Cylinders and Spheres 148 Boundary Conditions 274
3-5 Critical Radius of Insulation 153 5-4 Two-Dimensional
Steady Heat Conduction 282
3-6 Heat Transfer from Finned Surfaces 156
Boundary Nodes 283
Fin Equation 157
Irregular Boundaries 287
Fin Efficiency 160
Fin Effectiveness 163 5-5 Transient Heat Conduction 291
Proper Length of a Fin 165
Transient Heat Conduction in a Plane Wall 293
3-7 Heat Transfer in Common Configurations 169 Two-Dimensional Transient Heat Conduction 304
Topic of Special Interest:
Topic of Special Interest:
Controlling Numerical Error 309
Heat Transfer Through Walls and Roofs 175
Summary 312
Summary 185
References and Suggested Reading 314
References and Suggested Reading 186
Problems 314
Problems 187
C H A P T E R F O U R
TRANSIENT HEAT CONDUCTION 209 C H A P T E R S I X
FUNDAMENTALS OF CONVECTION 333
4-1 Lumped System Analysis 210
Criteria for Lumped System Analysis 211 6-1 Physical Mechanism on Convection 334
Some Remarks on Heat Transfer in Lumped Systems 213
Nusselt Number 336
4-2 Transient Heat Conduction in
6-2 Classification of Fluid Flows 337
Large Plane Walls, Long Cylinders,
and Spheres with Spatial Effects 216 Viscous versus Inviscid Flow 337
Internal versus External Flow 337
4-3 Transient Heat Conduction in Compressible versus Incompressible Flow 337
Semi-Infinite Solids 228 Laminar versus Turbulent Flow 338
Natural (or Unforced) versus Forced Flow 338
4-4 Transient Heat Conduction in
Steady versus Unsteady (Transient) Flow 338
MultidimensionalSystems 231
One-, Two-, and Three-Dimensional Flows 338
Topic of Special Interest: 6-3 Velocity Boundary Layer 339
Refrigeration and Freezing of Foods 239
Summary 250 Surface Shear Stress 340
References and Suggested Reading 251 6-4 Thermal Boundary Layer 341
Problems 252
Prandtl Number 341
6-5 Laminar and Turbulent Flows 342
C H A P T E R F I V E
Reynolds Number 343
NUMERICAL METHODS 6-6 Heat and Momentum Transfer
IN HEAT CONDUCTION 265 in Turbulent Flow 343
6-7 Derivation of Differential
5-1 Why Numerical Methods? 266 Convection Equations 345
1 Limitations 267 Conservation of Mass Equation 345
2 Better Modeling 267 Conservation of Momentum Equations 346
3 Flexibility 268 Conservation of Energy Equation 348
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6-8 Solutions of Convection Equations 8-4 General Thermal Analysis 426
for a Flat Plate 352 Constant Surface Heat Flux (q· (cid:3)constant) 427
s
The Energy Equation 354 Constant Surface Temperature (Ts(cid:3)constant) 428
6-9 Nondimensionalized Convection 8-5 Laminar Flow in Tubes 431
Equations and Similarity 356 Pressure Drop 433
6-10 Functional Forms of Friction and Temperature Profile and the Nusselt Number 434
Constant Surface Heat Flux 435
ConvectionCoefficients 357
Constant Surface Temperature 436
6-11 Analogies between Momentum Laminar Flow in Noncircular Tubes 436
andHeatTransfer 358 Developing Laminar Flow in the Entrance Region 436
8-6 Turbulent Flow in Tubes 441
Summary 361
References and Suggested Reading 362 Rough Surfaces 442
Problems 362 Developing Turbulent Flow in the Entrance Region 443
Turbulent Flow in Noncircular Tubes 443
Flow through Tube Annulus 444
Heat Transfer Enhancement 444
C H A P T E R S E V E N Summary 449
References and Suggested Reading 450
EXTERNAL FORCED CONVECTION 367
Problems 452
7-1 Drag Force and Heat Transfer
in External Flow 368 C H A P T E R N I N E
Friction and Pressure Drag 368 NATURAL CONVECTION 459
Heat Transfer 370
7-2 Parallel Flow over Flat Plates 371 9-1 Physical Mechanism of
Friction Coefficient 372 Natural Convection 460
Heat Transfer Coefficient 373
9-2 Equation of Motion and
Flat Plate with Unheated Starting Length 375
the Grashof Number 463
Uniform Heat Flux 375
7-3 Flow across Cylinders and Spheres 380 The Grashof Number 465
9-3 Natural Convection over Surfaces 466
Effect of Surface Roughness 382
Heat Transfer Coefficient 384 Vertical Plates (T (cid:3)constant) 467
7-4 Flow across Tube Banks 389 Vertical Plates (q·ss(cid:3)constant) 467
Vertical Cylinders 467
Pressure Drop 392 Inclined Plates 467
Topic of Special Interest: Horizontal Plates 469
Reducing Heat Transfer through Surfaces 395 Horizontal Cylinders and Spheres 469
Summary 406
9-4 Natural Convection from
References and Suggested Reading 407
Problems 408 Finned Surfaces and PCBs 473
Natural Convection Cooling of Finned Surfaces
(T (cid:3)constant) 473
s
Natural Convection Cooling of Vertical PCBs
C H A P T E R E I G H T (q· (cid:3)constant) 474
s
INTERNAL FORCED CONVECTION 419 Mass Flow Rate through the Space between Plates 475
9-5 Natural Convection inside Enclosures 477
8-1 Introduction 420 Effective Thermal Conductivity 478
Horizontal Rectangular Enclosures 479
8-2 Mean Velocity and Mean Temperature 420
Inclined Rectangular Enclosures 479
Laminar and Turbulent Flow in Tubes 422 Vertical Rectangular Enclosures 480
Concentric Cylinders 480
8-3 The Entrance Region 423
Concentric Spheres 481
Entry Lengths 425 Combined Natural Convection and Radiation 481
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9-6 Combined Natural and Forced Convection 486 11-6 Atmospheric and Solar Radiation 586
Topic of Special Interest: Topic of Special Interest:
Heat Transfer through Windows 489 Solar Heat Gain through Windows 590
Summary 499 Summary 597
References and Suggested Reading 500 References and Suggested Reading 599
Problems 501 Problems 599
C H A P T E R T E N C H A P T E R T W E L V E
BOILING AND CONDENSATION 515 RADIATION HEAT TRANSFER 605
10-1 Boiling Heat Transfer 516 12-1 The View Factor 606
10-2 Pool Boiling 518 12-2 View Factor Relations 609
Boiling Regimes and the Boiling Curve 518 1 The Reciprocity Relation 610
Heat Transfer Correlations in Pool Boiling 522 2 The Summation Rule 613
Enhancement of Heat Transfer in Pool Boiling 526 3 The Superposition Rule 615
10-3 Flow Boiling 530 4 The Symmetry Rule 616
View Factors between Infinitely Long Surfaces:
10-4 Condensation Heat Transfer 532
The Crossed-Strings Method 618
10-5 Film Condensation 532 12-3 Radiation Heat Transfer: Black Surfaces 620
Flow Regimes 534 12-4 Radiation Heat Transfer:
Heat Transfer Correlations for Film Condensation 535 Diffuse, Gray Surfaces 623
10-6 Film Condensation Inside
Radiosity 623
Horizontal Tubes 545
Net Radiation Heat Transfer to or from a Surface 623
10-7 Dropwise Condensation 545 Net Radiation Heat Transfer between Any
Two Surfaces 625
Topic of Special Interest: Methods of Solving Radiation Problems 626
Heat Pipes 546 Radiation Heat Transfer in Two-Surface Enclosures 627
Summary 551 Radiation Heat Transfer in Three-Surface Enclosures 629
References and Suggested Reading 553
12-5 Radiation Shields and the Radiation Effect 635
Problems 553
Radiation Effect on Temperature Measurements 637
12-6 Radiation Exchange with Emitting and
C H A P T E R E L E V E N Absorbing Gases 639
FUNDAMENTALS OF THERMAL RADIATION 561 Radiation Properties of a Participating Medium 640
Emissivity and Absorptivity of Gases and Gas Mixtures 642
11-1 Introduction 562 Topic of Special Interest:
Heat Transfer from the Human Body 649
11-2 Thermal Radiation 563 Summary 653
11-3 Blackbody Radiation 565 References and Suggested Reading 655
Problems 655
11-4 Radiation Intensity 571
Solid Angle 572
Intensity of Emitted Radiation 573 C H A P T E R T H I R T E E N
Incident Radiation 574
Radiosity 575 HEAT EXCHANGERS 667
Spectral Quantities 575
11-5 Radiative Properties 577 13-1 Types of Heat Exchangers 668
Emissivity 578 13-2 The Overall Heat Transfer Coefficient 671
Absorptivity, Reflectivity, and Transmissivity 582
Fouling Factor 674
Kirchhoff’s Law 584
The Greenhouse Effect 585 13-3 Analysis of Heat Exchangers 678
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13-4 The Log Mean Temperature 14-10 Simultaneous Heat and Mass Transfer 763
Difference Method 680
Summary 769
Counter-Flow Heat Exchangers 682 References and Suggested Reading 771
Multipass and Cross-Flow Heat Exchangers: Problems 772
Use of a Correction Factor 683
13-5 The Effectiveness–NTU Method 690
C H A P T E R F I F T E E N
13-6 Selection of Heat Exchangers 700
COOLING OF ELECTRONIC EQUIPMENT 785
Heat Transfer Rate 700
Cost 700
Pumping Power 701 15-1 Introduction and History 786
Size and Weight 701
15-2 Manufacturing of Electronic Equipment 787
Type 701
Materials 701 The Chip Carrier 787
Other Considerations 702 Printed Circuit Boards 789
Summary 703 The Enclosure 791
References and Suggested Reading 704
15-3 Cooling Load of Electronic Equipment 793
Problems 705
15-4 Thermal Environment 794
15-5 Electronics Cooling in
Different Applications 795
C H A P T E R F O U R T E E N
15-6 Conduction Cooling 797
MASS TRANSFER 717
Conduction in Chip Carriers 798
Conduction in Printed Circuit Boards 803
14-1 Introduction 718 Heat Frames 805
14-2 Analogy between Heat and Mass Transfer 719 The Thermal Conduction Module (TCM) 810
15-7 Air Cooling: Natural Convection
Temperature 720
and Radiation 812
Conduction 720
Heat Generation 720 15-8 Air Cooling: Forced Convection 820
Convection 721
Fan Selection 823
14-3 Mass Diffusion 721
Cooling Personal Computers 826
1 Mass Basis 722 15-9 Liquid Cooling 833
2 Mole Basis 722
15-10 Immersion Cooling 836
Special Case: Ideal Gas Mixtures 723
Fick’s Law of Diffusion: Stationary Medium Consisting
Summary 841
ofTwoSpecies 723
References and Suggested Reading 842
14-4 Boundary Conditions 727 Problems 842
14-5 Steady Mass Diffusion through a Wall 732
14-6 Water Vapor Migration in Buildings 736 1
A P P E N D I X
14-7 Transient Mass Diffusion 740
PROPERTY TABLES AND CHARTS
14-8 Diffusion in a Moving Medium 743
(SI UNITS) 855
Special Case: Gas Mixtures at Constant Pressure
andTemperature 747
Table A-1 Molar Mass, Gas Constant, and
Diffusion of Vapor through a Stationary Gas:
Critical-Point Properties 856
Stefan Flow 748
Equimolar Counterdiffusion 750 Table A-2 Boiling- and Freezing-Point
14-9 Mass Convection 754 Properties 857
Analogy between Friction, Heat Transfer, and Mass Table A-3 Properties of Solid Metals 858
TransferCoefficients 758
Table A-4 Properties of Solid Nonmetals 861
Limitation on the Heat–Mass Convection Analogy 760
Mass Convection Relations 760 Table A-5 Properties of Building Materials 862
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Table A-6 Properties of Insulating Materials 864 Table A-2E Boiling- and Freezing-Point
Table A-7 Properties of Common Foods 865 Properties 885
Table A-8 Properties of Miscellaneous Table A-3E Properties of Solid Metals 886
Materials 867 Table A-4E Properties of Solid Nonmetals 889
Table A-9 Properties of Saturated Water 868 Table A-5E Properties of Building Materials 890
Table A-10 Properties of Saturated Table A-6E Properties of Insulating Materials 892
Refrigerant-134a 869 Table A-7E Properties of Common Foods 893
Table A-11 Properties of Saturated Ammonia 870 Table A-8E Properties of Miscellaneous
Table A-12 Properties of Saturated Propane 871 Materials 895
Table A-13 Properties of Liquids 872 Table A-9E Properties of Saturated Water 896
Table A-14 Properties of Liquid Metals 873 Table A-10E Properties of Saturated
Table A-15 Properties of Air at 1 atm Pressure 874 Refrigerant-134a 897
Table A-16 Properties of Gases at 1 atm Table A-11E Properties of Saturated Ammonia 898
Pressure 875 Table A-12E Properties of Saturated Propane 899
Table A-17 Properties of the Atmosphere at Table A-13E Properties of Liquids 900
HighAltitude 877 Table A-14E Properties of Liquid Metals 901
Table A-18 Emissivities of Surfaces 878 Table A-15E Properties of Air at 1 atm Pressure 902
Table A-19 Solar Radiative Properties of Table A-16E Properties of Gases at 1 atm
Materials 880
Pressure 903
Figure A-20 The Moody Chart for the Friction Table A-17E Properties of the Atmosphere at
Factorfor Fully Developed Flow
HighAltitude 905
inCircular Tubes 881
3
A P P E N D I X
2
A P P E N D I X
INTRODUCTION TO EES 907
PROPERTY TABLES AND CHARTS
INDEX 921
(ENGLISH UNITS) 883
Table A-1E Molar Mass, Gas Constant, and
Critical-Point Properties 884
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T A B L E O F E X A M P L E S
C H A P T E R O N E Example 2-2 Heat Generation in a
Hair Dryer 67
BASICS OF HEAT TRANSFER 1
Example 2-3 Heat Conduction through the
Bottomof a Pan 72
Example 1-1 Heating of a Copper Ball 10
Example 1-2 Heating of Water in an Example 2-4 Heat Conduction in a
Electric Teapot 14 ResistanceHeater 72
Example 1-3 Heat Loss from Heating Ducts Example 2-5 Cooling of a Hot Metal Ball
in a Basement 15 in Air 73
Example 1-4 Electric Heating of a House at Example 2-6 Heat Conduction in a
HighElevation 16 Short Cylinder 76
Example 1-5 The Cost of Heat Loss through Example 2-7 Heat Flux Boundary Condition 80
aRoof 19
Example 2-8 Convection and Insulation
Example 1-6 Measuring the Thermal Conductivity BoundaryConditions 82
of a Material 23
Example 2-9 Combined Convection and
Example 1-7 Conversion between SI and RadiationCondition 84
EnglishUnits 24
Example 2-10 Combined Convection, Radiation,
Example 1-8 Measuring Convection Heat and Heat Flux 85
TransferCoefficient 26
Example 2-11 Heat Conduction in a
Example 1-9 Radiation Effect on
Plane Wall 86
ThermalComfort 29
Example 2-12 AWall with Various Sets of
Example 1-10 Heat Loss from a Person 31
BoundaryConditions 88
Example 1-11 Heat Transfer between
Example 2-13 Heat Conduction in the Base Plate
TwoIsothermal Plates 32
ofan Iron 90
Example 1-12 Heat Transfer in Conventional
Example 2-14 Heat Conduction in a
andMicrowave Ovens 33
Solar Heated Wall 92
Example 1-13 Heating of a Plate by
Example 2-15 Heat Loss through a
Solar Energy 34
Steam Pipe 94
Example 1-14 Solving a System of Equations
Example 2-16 Heat Conduction through a
withEES 39
SphericalShell 96
Example 2-17 Centerline Temperature of a
Resistance Heater 100
C H A P T E R T W O Example 2-18 Variation of Temperature in a
HEAT CONDUCTION EQUATION 61 Resistance Heater 100
Example 2-19 Heat Conduction in a Two-Layer
Example 2-1 Heat Gain by a Refrigerator 67 Medium 102
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Example 2-20 Variation of Temperature in a Wall C H A P T E R F O U R
with k(T) 105
TRANSIENT HEAT CONDUCTION 209
Example 2-21 Heat Conduction through a Wall
withk(T) 106
Example 4-1 Temperature Measurement by
Thermocouples 214
C H A P T E R T H R E E Example 4-2 Predicting the Time of Death 215
STEADY HEAT CONDUCTION 127 Example 4-3 Boiling Eggs 224
Example 4-4 Heating of Large Brass Plates
Example 3-1 Heat Loss through a Wall 134 in an Oven 225
Example 3-2 Heat Loss through a Example 4-5 Cooling of a Long Stainless Steel
Single-Pane Window 135 Cylindrical Shaft 226
Example 3-3 Heat Loss through Example 4-6 Minimum Burial Depth of Water
Double-Pane Windows 136 Pipes to Avoid Freezing 230
Example 3-4 Equivalent Thickness for Example 4-7 Cooling of a Short Brass
ContactResistance 140 Cylinder 234
Example 3-5 Contact Resistance of Example 4-8 Heat Transfer from a Short
Transistors 141 Cylinder 235
Example 3-6 Heat Loss through a Example 4-9 Cooling of a Long Cylinder
Composite Wall 144 by Water 236
Example 3-7 Heat Transfer to a Example 4-10 Refrigerating Steaks while
SphericalContainer 149 AvoidingFrostbite 238
Example 3-8 Heat Loss through an Insulated Example 4-11 Chilling of Beef Carcasses in a
SteamPipe 151 MeatPlant 248
Example 3-9 Heat Loss from an Insulated
ElectricWire 154
Example 3-10 Maximum Power Dissipation of
aTransistor 166 C H A P T E R F I V E
Example 3-11 Selecting a Heat Sink for a NUMERICAL METHODS IN
Transistor 167
HEAT CONDUCTION 265
Example 3-12 Effect of Fins on Heat Transfer from
Steam Pipes 168
Example 5-1 Steady Heat Conduction in a Large
Example 3-13 Heat Loss from Buried Uranium Plate 277
Steam Pipes 170
Example 5-2 Heat Transfer from
Example 3-14 Heat Transfer between Hot and Triangular Fins 279
ColdWater Pipes 173
Example 5-3 Steady Two-Dimensional Heat
Example 3-15 Cost of Heat Loss through Walls Conduction in L-Bars 284
inWinter 174
Example 5-4 Heat Loss through Chimneys 287
Example 3-16 The R-Value of a Wood
Example 5-5 Transient Heat Conduction in a Large
Frame Wall 179
Uranium Plate 296
Example 3-17 The R-Value of a Wall with
Example 5-6 Solar Energy Storage in
RigidFoam 180
TrombeWalls 300
Example 3-18 The R-Value of a Masonry Wall 181
Example 5-7 Transient Two-Dimensional Heat
Example 3-19 The R-Value of a Pitched Roof 182 Conduction in L-Bars 305
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C H A P T E R S I X Example 8-6 Heat Loss from the Ducts of a
Heating System 448
FUNDAMENTALS OF CONVECTION 333
Example 6-1 Temperature Rise of Oil in a
C H A P T E R N I N E
JournalBearing 350
Example 6-2 Finding Convection Coefficient from NATURAL CONVECTION 459
Drag Measurement 360
Example 9-1 Heat Loss from Hot
Water Pipes 470
Example 9-2 Cooling of a Plate in
C H A P T E R S E V E N
DifferentOrientations 471
EXTERNAL FORCED CONVECTION 367
Example 9-3 Optimum Fin Spacing of a
Heat Sink 476
Example 7-1 Flow of Hot Oil over a
Example 9-4 Heat Loss through a Double-Pane
Flat Plate 376
Window 482
Example 7-2 Cooling of a Hot Block by Forced Air
Example 9-5 Heat Transfer through a
at High Elevation 377
SphericalEnclosure 483
Example 7-3 Cooling of Plastic Sheets by
Example 9-6 Heating Water in a Tube by
ForcedAir 378
SolarEnergy 484
Example 7-4 Drag Force Acting on a Pipe
Example 9-7 U-Factor for Center-of-Glass Section
in a River 383
of Windows 496
Example 7-5 Heat Loss from a Steam Pipe
Example 9-8 Heat Loss through Aluminum Framed
in Windy Air 386
Windows 497
Example 7-6 Cooling of a Steel Ball by
Example 9-9 U-Factor of a Double-Door
Forced Air 387
Window 498
Example 7-7 Preheating Air by Geothermal Water
in a Tube Bank 393
Example 7-8 Effect of Insulation on
C H A P T E R T E N
SurfaceTemperature 402
BOILING AND CONDENSATION 515
Example 7-9 Optimum Thickness of
Insulation 403
Example 10-1 Nucleate Boiling Water
in a Pan 526
Example 10-2 Peak Heat Flux in
C H A P T E R E I G H T Nucleate Boiling 528
INTERNAL FORCED CONVECTION 419 Example 10-3 Film Boiling of Water on a
HeatingElement 529
Example 8-1 Heating of Water in a Tube Example 10-4 Condensation of Steam on a
by Steam 430 VerticalPlate 541
Example 8-2 Pressure Drop in a Pipe 438 Example 10-5 Condensation of Steam on a
Example 8-3 Flow of Oil in a Pipeline through TiltedPlate 542
aLake 439 Example 10-6 Condensation of Steam on
Example 8-4 Pressure Drop in a WaterPipe 445 HorizontalTubes 543
Example 8-5 Heating of Water by Resistance Example 10-7 Condensation of Steam on
Heaters in a Tube 446 HorizontalTube Banks 544
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Example 10-8 Replacing a Heat Pipe by a Example 12-12 Radiation Effect on Temperature
CopperRod 550 Measurements 639
Example 12-13 Effective Emissivity of
CombustionGases 646
C H A P T E R E L E V E N
Example 12-14 Radiation Heat Transfer in a
FUNDAMENTALS OF THERMAL RADIATION 561 Cylindrical Furnace 647
Example 12-15 Effect of Clothing on Thermal
Example 11-1 Radiation Emission from a Comfort 652
Black Ball 568
Example 11-2 Emission of Radiation from
C H A P T E R T H I R T E E N
aLightbulb 571
HEAT EXCHANGERS 667
Example 11-3 Radiation Incident on a
Small Surface 576
Example 13-1 Overall Heat Transfer Coefficient of
Example 11-4 Emissivity of a Surface
aHeat Exchanger 675
andEmissivePower 581
Example 13-2 Effect of Fouling on the Overall Heat
Example 11-5 Selective Absorber and
Transfer Coefficient 677
ReflectiveSurfaces 589
Example 13-3 The Condensation of Steam in
Example 11-6 Installing Reflective Films
aCondenser 685
onWindows 596
Example 13-4 Heating Water in a Counter-Flow
Heat Exchanger 686
C H A P T E R T W E L V E Example 13-5 Heating of Glycerin in a Multipass
Heat Exchanger 687
RADIATION HEAT TRANSFER 605
Example 13-6 Cooling of an
Automotive Radiator 688
Example 12-1 View Factors Associated with
TwoConcentric Spheres 614 Example 13-7 Upper Limit for Heat Transfer
inaHeat Exchanger 691
Example 12-2 Fraction of Radiation Leaving
through an Opening 615 Example 13-8 Using the Effectiveness–
NTUMethod 697
Example 12-3 View Factors Associated with
aTetragon 617 Example 13-9 Cooling Hot Oil by Water in a
Multipass Heat Exchanger 698
Example 12-4 View Factors Associated with a
Triangular Duct 617 Example 13-10 Installing a Heat Exchanger to Save
Energy and Money 702
Example 12-5 The Crossed-Strings Method for
View Factors 619
Example 12-6 Radiation Heat Transfer in a C H A P T E R F O U R T E E N
BlackFurnace 621
MASS TRANSFER 717
Example 12-7 RadiationHeat Transfer between
Parallel Plates 627 Example 14-1 Determining Mass Fractions from
Example 12-8 Radiation Heat Transfer in a Mole Fractions 727
Cylindrical Furnace 630 Example 14-2 Mole Fraction of Water Vapor at
Example 12-9 Radiation Heat Transfer in a theSurface of a Lake 728
Triangular Furnace 631 Example 14-3 Mole Fraction of Dissolved Air
Example 12-10 Heat Transfer through a Tubular inWater 730
SolarCollector 632 Example 14-4 Diffusion of Hydrogen Gas into
Example 12-11 Radiation Shields 638 aNickel Plate 732