Symbols |
|
xix | |
|
|
1 | (46) |
|
|
2 | (1) |
|
1.2 Physical Origins and Rate Equations |
|
|
3 | (9) |
|
|
3 | (3) |
|
|
6 | (2) |
|
|
8 | (4) |
|
1.2.4 The Thermal Resistance Concept |
|
|
12 | (1) |
|
1.3 Relationship to Thermodynamics |
|
|
12 | (21) |
|
1.3.1 Relationship to the First Law of Thermodynamics (Conservation of Energy) |
|
|
13 | (15) |
|
1.3.2 Relationship to the Second Law of Thermodynamics and the Efficiency of Heat Engines |
|
|
28 | (5) |
|
|
33 | (2) |
|
1.5 Analysis of Heat Transfer Problems: Methodology |
|
|
35 | (3) |
|
1.6 Relevance of Heat Transfer |
|
|
38 | (4) |
|
|
42 | (3) |
|
|
45 | (2) |
|
Chapter 2 Introduction to Conduction |
|
|
47 | (30) |
|
2.1 The Conduction Rate Equation |
|
|
48 | (2) |
|
2.2 The Thermal Properties of Matter |
|
|
50 | (12) |
|
2.2.1 Thermal Conductivity |
|
|
57 | (1) |
|
2.2.2 Other Relevant Properties |
|
|
58 | (4) |
|
2.3 The Heat Diffusion Equation |
|
|
62 | (8) |
|
2.4 Boundary and Initial Conditions |
|
|
70 | (4) |
|
|
74 | (1) |
|
|
75 | (2) |
|
Chapter 3 One-Dimensional, Steady-State Conduction |
|
|
77 | (84) |
|
|
78 | (21) |
|
3.1.1 Temperature Distribution |
|
|
78 | (2) |
|
|
80 | (1) |
|
|
81 | (2) |
|
|
83 | (2) |
|
|
85 | (14) |
|
3.2 An Alternative Conduction Analysis |
|
|
99 | (4) |
|
|
103 | (6) |
|
|
103 | (5) |
|
|
108 | (1) |
|
3.4 Summary of One-Dimensional Conduction Results |
|
|
109 | (1) |
|
3.5 Conduction with Thermal Energy Generation |
|
|
109 | (12) |
|
|
110 | (6) |
|
|
116 | (1) |
|
3.5.3 Tabulated Solutions |
|
|
117 | (1) |
|
3.5.4 Application of Resistance Concepts |
|
|
117 | (4) |
|
3.6 Heat Transfer from Extended Surfaces |
|
|
121 | (20) |
|
3.6.1 A General Conduction Analysis |
|
|
123 | (2) |
|
3.6.2 Fins of Uniform Cross-Sectional Area |
|
|
125 | (6) |
|
3.6.3 Fin Performance Parameters |
|
|
131 | (3) |
|
3.6.4 Fins of Nonuniform Cross-Sectional Area |
|
|
134 | (3) |
|
3.6.5 Overall Surface Efficiency |
|
|
137 | (4) |
|
3.7 Other Applications of One-Dimensional, Steady-State Conduction |
|
|
141 | (16) |
|
3.7.1 The Bioheat Equation |
|
|
141 | (4) |
|
3.7.2 Thermoelectric Power Generation |
|
|
145 | (8) |
|
3.7.3 Nanoscale Conduction |
|
|
153 | (4) |
|
|
157 | (2) |
|
|
159 | (2) |
|
Chapter 4 Two-Dimensional, Steady-State Conduction |
|
|
161 | (30) |
|
4.1 General Considerations and Solution Techniques |
|
|
162 | (1) |
|
4.2 The Method of Separation of Variables |
|
|
163 | (4) |
|
4.3 The Conduction Shape Factor and the Dimensionless Conduction Heat Rate |
|
|
167 | (6) |
|
4.4 Finite-Difference Equations |
|
|
173 | (9) |
|
|
173 | (1) |
|
4.4.2 Finite-Difference Form of the Heat Equation: No Generation and Constant Properties |
|
|
174 | (1) |
|
4.4.3 Finite-Difference Form of the Heat Equation: The Energy Balance Method |
|
|
175 | (7) |
|
4.5 Solving the Finite-Difference Equations |
|
|
182 | (6) |
|
4.5.1 Formulation as a Matrix Equation |
|
|
182 | (1) |
|
4.5.2 Verifying the Accuracy of the Solution |
|
|
183 | (5) |
|
|
188 | (1) |
|
|
189 | (2) |
|
Chapter 5 Transient Conduction |
|
|
191 | (68) |
|
5.1 The Lumped Capacitance Method |
|
|
192 | (3) |
|
5.2 Validity of the Lumped Capacitance Method |
|
|
195 | (4) |
|
5.3 General Lumped Capacitance Analysis |
|
|
199 | (11) |
|
|
200 | (1) |
|
5.3.2 Negligible Radiation |
|
|
200 | (1) |
|
5.3.3 Convection Only with Variable Convection Coefficient |
|
|
201 | (1) |
|
5.3.4 Additional Considerations |
|
|
201 | (9) |
|
|
210 | (1) |
|
5.5 The Plane Wall with Convection |
|
|
211 | (4) |
|
|
212 | (1) |
|
5.5.2 Approximate Solution |
|
|
212 | (2) |
|
5.5.3 Total Energy Transfer: Approximate Solution |
|
|
214 | (1) |
|
5.5.4 Additional Considerations |
|
|
214 | (1) |
|
5.6 Radial Systems with Convection |
|
|
215 | (7) |
|
|
215 | (1) |
|
5.6.2 Approximate Solutions |
|
|
216 | (1) |
|
5.6.3 Total Energy Transfer: Approximate Solutions |
|
|
216 | (1) |
|
5.6.4 Additional Considerations |
|
|
217 | (5) |
|
5.7 The Semi-Infinite Solid |
|
|
222 | (7) |
|
5.8 Objects with Constant Surface Temperatures or Surface Heat Fluxes |
|
|
229 | (1) |
|
5.8.1 Constant Temperature Boundary Conditions |
|
|
229 | (2) |
|
5.8.2 Constant Heat Flux Boundary Conditions |
|
|
231 | (1) |
|
5.8.3 Approximate Solutions |
|
|
232 | (7) |
|
|
239 | (3) |
|
5.10 Finite-Difference Methods |
|
|
242 | (14) |
|
5.10.1 Discretization of the Heat Equation: The Explicit Method |
|
|
242 | (7) |
|
5.10.2 Discretization of the Heat Equation: The Implicit Method |
|
|
249 | (7) |
|
|
256 | (1) |
|
|
257 | (2) |
|
Chapter 6 Introduction to Convection |
|
|
259 | (44) |
|
6.1 The Convection Boundary Layers |
|
|
260 | (4) |
|
6.1.1 The Velocity Boundary Layer |
|
|
260 | (1) |
|
6.1.2 The Thermal Boundary Layer |
|
|
261 | (2) |
|
6.1.3 The Concentration Boundary Layer |
|
|
263 | (1) |
|
6.1.4 Significance of the Boundary Layers |
|
|
264 | (1) |
|
6.2 Local and Average Convection Coefficients |
|
|
264 | (7) |
|
|
264 | (1) |
|
|
265 | (6) |
|
6.3 Laminar and Turbulent Flow |
|
|
271 | (5) |
|
6.3.1 Laminar and Turbulent Velocity Boundary Layers |
|
|
271 | (2) |
|
6.3.2 Laminar and Turbulent Thermal and Species Concentration Boundary Layers |
|
|
273 | (3) |
|
6.4 The Boundary Layer Equations |
|
|
276 | (4) |
|
6.4.1 Boundary Layer Equations for Laminar Flow |
|
|
277 | (3) |
|
|
280 | (1) |
|
6.5 Boundary Layer Similarity: The Normalized Boundary Layer Equations |
|
|
280 | (10) |
|
6.5.1 Boundary Layer Similarity Parameters |
|
|
281 | (1) |
|
6.5.2 Dependent Dimensionless Parameters |
|
|
281 | (9) |
|
6.6 Physical Interpretation of the Dimensionless Parameters |
|
|
290 | (2) |
|
6.7 Boundary Layer Analogies |
|
|
292 | (8) |
|
6.7.1 The Heat and Mass Transfer Analogy |
|
|
293 | (3) |
|
6.7.2 Evaporative Cooling |
|
|
296 | (3) |
|
6.7.3 The Reynolds Analogy |
|
|
299 | (1) |
|
|
300 | (1) |
|
|
301 | (2) |
|
|
303 | (54) |
|
|
305 | (1) |
|
7.2 The Flat Plate in Parallel Flow |
|
|
306 | (11) |
|
7.2.1 Laminar Flow over an Isothermal Plate: A Similarity Solution |
|
|
307 | (6) |
|
7.2.2 Turbulent Flow over an Isothermal Plate |
|
|
313 | (1) |
|
7.2.3 Mixed Boundary Layer Conditions |
|
|
314 | (1) |
|
7.2.4 Unheated Starting Length |
|
|
315 | (1) |
|
7.2.5 Flat Plates with Constant Heat Flux Conditions |
|
|
316 | (1) |
|
7.2.6 Limitations on Use of Convection Coefficients |
|
|
317 | (1) |
|
7.3 Methodology for a Convection Calculation |
|
|
317 | (8) |
|
7.4 The Cylinder in Cross Flow |
|
|
325 | (10) |
|
7.4.1 Flow Considerations |
|
|
325 | (2) |
|
7.4.2 Convection Heat and Mass Transfer |
|
|
327 | (8) |
|
|
335 | (3) |
|
7.6 Flow Across Banks of Tubes |
|
|
338 | (9) |
|
|
347 | (5) |
|
7.7.1 Hydrodynamic and Geometric Considerations |
|
|
347 | (1) |
|
7.7.2 Convection Heat and Mass Transfer |
|
|
348 | (4) |
|
|
352 | (1) |
|
|
353 | (3) |
|
|
356 | (1) |
|
|
357 | (52) |
|
8.1 Hydrodynamic Considerations |
|
|
358 | (5) |
|
|
358 | (1) |
|
|
359 | (1) |
|
8.1.3 Velocity Profile in the Fully Developed Region |
|
|
360 | (2) |
|
8.1.4 Pressure Gradient and Friction Factor in Fully Developed Flow |
|
|
362 | (1) |
|
8.2 Thermal Considerations |
|
|
363 | (6) |
|
8.2.1 The Mean Temperature |
|
|
364 | (1) |
|
8.2.2 Newton's Law of Cooling |
|
|
365 | (1) |
|
8.2.3 Fully Developed Conditions |
|
|
365 | (4) |
|
|
369 | (8) |
|
8.3.1 General Considerations |
|
|
369 | (1) |
|
8.3.2 Constant Surface Heat Flux |
|
|
370 | (3) |
|
8.3.3 Constant Surface Temperature |
|
|
373 | (4) |
|
8.4 Laminar Flow in Circular Tubes: Thermal Analysis and Convection Correlations |
|
|
377 | (7) |
|
8.4.1 The Fully Developed Region |
|
|
377 | (5) |
|
|
382 | (2) |
|
8.4.3 Temperature-Dependent Properties |
|
|
384 | (1) |
|
8.5 Convection Correlations: Turbulent Flow in Circular Tubes |
|
|
384 | (8) |
|
8.6 Convection Correlations: Noncircular Tubes and the Concentric Tube Annulus |
|
|
392 | (3) |
|
8.7 Heat Transfer Enhancement |
|
|
395 | (3) |
|
8.8 Forced Convection in Small Channels |
|
|
398 | (5) |
|
8.8.1 Microscale Convection in Gases (0.1 μm 100 μm) |
|
|
398 | (1) |
|
8.8.2 Microscale Convection in Liquids |
|
|
399 | (1) |
|
8.8.3 Nanoscale Convection (Dh 100 nm) |
|
|
400 | (3) |
|
8.9 Convection Mass Transfer |
|
|
403 | (2) |
|
|
405 | (3) |
|
|
408 | (1) |
|
Chapter 9 Free Convection |
|
|
409 | (5) |
|
9.1 Physical Considerations |
|
|
410 | (2) |
|
9.2 The Governing Equations for Laminar Boundary Layers |
|
|
412 | (2) |
|
93 Similarity Considerations |
|
|
414 | (35) |
|
9.4 Laminar Free Convection on a Vertical Surface |
|
|
415 | (3) |
|
9.5 The Effects of Turbulence |
|
|
418 | (2) |
|
9.6 Empirical Correlations: External Free Convection Flows |
|
|
420 | (14) |
|
|
421 | (3) |
|
9.6.2 Inclined and Horizontal Plates |
|
|
424 | (5) |
|
9.6.3 The Long Horizontal Cylinder |
|
|
429 | (4) |
|
|
433 | (1) |
|
9.7 Free Convection Within Parallel Plate Channels |
|
|
434 | (3) |
|
|
435 | (2) |
|
|
437 | (1) |
|
9.8 Empirical Correlations: Enclosures |
|
|
437 | (6) |
|
9.8.1 Rectangular Cavities |
|
|
437 | (3) |
|
9.8.2 Concentric Cylinders |
|
|
440 | (1) |
|
|
441 | (2) |
|
9.9 Combined Free and Forced Convection |
|
|
443 | (1) |
|
9.10 Convection Mass Transfer |
|
|
444 | (1) |
|
|
445 | (1) |
|
|
446 | (3) |
|
Chapter 10 Boiling and Condensation |
|
|
449 | (42) |
|
10.1 Dimensionless Parameters in Boiling and Condensation |
|
|
450 | (1) |
|
|
451 | (1) |
|
|
452 | (4) |
|
|
452 | (1) |
|
10.3.2 Modes of Pool Boiling |
|
|
453 | (3) |
|
10.4 Pool Boiling Correlations |
|
|
456 | (9) |
|
10.4.1 Nucleate Pool Boiling |
|
|
456 | (2) |
|
10.4.2 Critical Heat Flux for Nucleate Pool Boiling |
|
|
458 | (1) |
|
|
459 | (1) |
|
|
459 | (1) |
|
10.4.5 Parametric Effects on Pool Boiling |
|
|
460 | (5) |
|
10.5 Forced Convection Boiling |
|
|
465 | (4) |
|
10.5.1 External Forced Convection Boiling |
|
|
466 | (1) |
|
|
466 | (3) |
|
10.5.3 Two-Phase Flow in MicroChannel |
|
|
469 | (1) |
|
10.6 Condensation: Physical Mechanisms |
|
|
469 | (2) |
|
10.7 Laminar Film Condensation on a Vertical Plate |
|
|
471 | (4) |
|
10.8 Turbulent Film Condensation |
|
|
475 | (5) |
|
10.9 Film Condensation on Radial Systems |
|
|
480 | (5) |
|
10.10 Condensation in Horizontal Tubes |
|
|
485 | (1) |
|
10.11 Dropwise Condensation |
|
|
486 | (1) |
|
|
487 | (1) |
|
|
487 | (4) |
|
Chapter 11 Heat Exchangers |
|
|
491 | (44) |
|
11.1 Heat Exchanger Types |
|
|
492 | (2) |
|
11.2 The Overall Heat Transfer Coefficient |
|
|
494 | (3) |
|
11.3 Heat Exchanger Analysis: Use of the Log Mean Temperature Difference |
|
|
497 | (11) |
|
11.3.1 The Parallel-Flow Heat Exchanger |
|
|
498 | (2) |
|
11.3.2 The Counterflow Heat Exchanger |
|
|
500 | (7) |
|
11.3.3 Special Operating Conditions |
|
|
507 | (1) |
|
11.4 Heat Exchanger Analysis: The Effectiveness-NTU Method |
|
|
508 | (8) |
|
|
508 | (1) |
|
11.4.2 Effectiveness--NTU Relations |
|
|
509 | (7) |
|
11.5 Heat Exchanger Design and Performance Calculations |
|
|
516 | (9) |
|
11.6 Additional Considerations |
|
|
525 | (8) |
|
|
533 | (1) |
|
|
534 | (1) |
|
Chapter 12 Radiation: Processes and Properties |
|
|
535 | (64) |
|
12.1 Fundamental Concepts |
|
|
536 | (3) |
|
12.2 Radiation Heat Fluxes |
|
|
539 | (2) |
|
|
541 | (9) |
|
12.3.1 Mathematical Definitions |
|
|
541 | (1) |
|
12.3.2 Radiation Intensity and Its Relation to Emission |
|
|
542 | (5) |
|
12.3.3 Relation to Irradiation |
|
|
547 | (2) |
|
12.3.4 Relation to Radiosity for an Opaque Surface |
|
|
549 | (1) |
|
12.3.5 Relation to the Net Radiative Flux for an Opaque Surface |
|
|
550 | (1) |
|
|
550 | (10) |
|
12.4.1 The Planck Distribution |
|
|
551 | (1) |
|
12.4.2 Wien's Displacement Law |
|
|
552 | (1) |
|
12.4.3 The Stefan--Boltzmann Law |
|
|
552 | (1) |
|
|
553 | (7) |
|
12.5 Emission from Real Surfaces |
|
|
560 | (9) |
|
12.6 Absorption, Reflection, and Transmission by Real Surfaces |
|
|
569 | (9) |
|
|
570 | (1) |
|
|
571 | (2) |
|
|
573 | (1) |
|
12.6.4 Special Considerations |
|
|
573 | (5) |
|
|
578 | (2) |
|
|
580 | (6) |
|
12.9 Environmental Radiation |
|
|
586 | (8) |
|
|
587 | (2) |
|
12.9.2 The Atmospheric Radiation Balance |
|
|
589 | (2) |
|
12.9.3 Terrestrial Solar Irradiation |
|
|
591 | (3) |
|
|
594 | (4) |
|
|
598 | (1) |
|
Chapter 13 Radiation Exchange Between Surfaces |
|
|
599 | (1) |
|
|
600 | (1) |
|
13.1.1 The View Factor Integral |
|
|
600 | (7) |
|
13.1.2 View Factor Relations |
|
|
607 | (3) |
|
13.2 Blackbody Radiation Exchange |
|
|
610 | (4) |
|
133 Radiation Exchange Between Opaque, Diffuse, Gray Surfaces in an Enclosure |
|
|
614 | (27) |
|
133.1 Net Radiation Exchange at a Surface |
|
|
615 | (16) |
|
13.3.2 Radiation Exchange Between Surfaces |
|
|
616 | (6) |
|
13.3.3 The Two-Surface Enclosure |
|
|
622 | (2) |
|
13.3.4 Two-Surface Enclosures in Series and Radiation Shields |
|
|
624 | (2) |
|
13.3.5 The Reradiating Surface |
|
|
626 | (5) |
|
13.4 Multimode Heat Transfer |
|
|
631 | (3) |
|
13.5 Implications of the Simplifying Assumptions |
|
|
634 | (1) |
|
13.6 Radiation Exchange with Participating Media |
|
|
634 | (5) |
|
13.6.1 Volumetric Absorption |
|
|
634 | (1) |
|
13.6.2 Gaseous Emission and Absorption |
|
|
635 | (4) |
|
|
639 | (1) |
|
|
640 | (1) |
|
Chapter 14 Diffusion Mass Transfer |
|
|
641 | (14) |
|
14.1 Physical Origins and Rate Equations |
|
|
642 | (5) |
|
|
642 | (1) |
|
14.1.2 Mixture Composition |
|
|
643 | (1) |
|
14.1.3 Fick's Law of Diffusion |
|
|
644 | (1) |
|
|
645 | (2) |
|
14.2 Mass Transfer in Nonstationary Media |
|
|
647 | (8) |
|
14.2.1 Absolute and Diffusive Species Fluxes |
|
|
647 | (3) |
|
14.2.2 Evaporation in a Column |
|
|
650 | (5) |
|
143 The Stationary Medium Approximation |
|
|
655 | (26) |
|
14.4 Conservation of Species for a Stationary Medium |
|
|
655 | (7) |
|
14.4.1 Conservation of Species for a Control Volume |
|
|
656 | (1) |
|
14.4.2 The Mass Diffusion Equation |
|
|
656 | (2) |
|
14.4.3 Stationary Media with Specified Surface Concentrations |
|
|
658 | (4) |
|
14.5 Boundary Conditions and Discontinuous Concentrations at Interfaces |
|
|
662 | (8) |
|
14.5.1 Evaporation and Sublimation |
|
|
663 | (1) |
|
14.5.2 Solubility of Gases in Liquids and Solids |
|
|
663 | (5) |
|
14.5.3 Catalytic Surface Reactions |
|
|
668 | (2) |
|
14.6 Mass Diffusion with Homogeneous Chemical Reactions |
|
|
670 | (3) |
|
|
673 | (6) |
|
|
679 | (1) |
|
|
680 | (48) |
Appendix A Thermophysical Properties of Matter |
|
681 | (32) |
Appendix D Mathematical Relations and Functions |
|
713 | (6) |
Appendix C Thermal Conditions Associated with Uniform Energy Generation in One-Dimensional, Steady-State Systems |
|
719 | (6) |
Appendix D The Gauss---Seidel Method |
|
725 | (2) |
Appendix E The Convection Transfer Equations |
|
727 | (4) |
|
|
728 | (1) |
|
E.2 Newton's Second Law of Motion |
|
|
728 | (1) |
|
E.3 Conservation of Energy |
|
|
729 | (1) |
|
E.4 Conservation of Species |
|
|
730 | (1) |
Appendix F Boundary Layer Equations for Turbulent Flow |
|
731 | (4) |
Appendix G An Integral Laminar Boundary Layer Solution for Parallel Flow over a Flat Plate |
|
735 | (4) |
Conversion Factors |
|
739 | (1) |
Physical Constants |
|
740 | (1) |
Index |
|
741 | |