Heat conduction:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Taylor & Francis Group
c2008
|
| Ausgabe: | 4. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Kakaç's name appears first on the earlier edition. |
| Beschreibung: | XIX, 434 S. graph. Darst. |
| ISBN: | 9781591690467 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV035141885 | ||
| 003 | DE-604 | ||
| 005 | 20180802 | ||
| 007 | t | ||
| 008 | 081105s2008 xxud||| |||| 00||| eng d | ||
| 010 | |a 2008017132 | ||
| 020 | |a 9781591690467 |9 978-1-59169-046-7 | ||
| 035 | |a (OCoLC)225846887 | ||
| 035 | |a (DE-599)BVBBV035141885 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-1050 |a DE-2070s | ||
| 050 | 0 | |a QC320 | |
| 082 | 0 | |a 621.402/23 | |
| 084 | |a UG 2600 |0 (DE-625)145619: |2 rvk | ||
| 100 | 1 | |a Yener, Yaman |d 1946-2013 |e Verfasser |0 (DE-588)1163741795 |4 aut | |
| 245 | 1 | 0 | |a Heat conduction |c Yaman Yener ; Sadık Kakaç |
| 250 | |a 4. ed. | ||
| 264 | 1 | |a New York, NY [u.a.] |b Taylor & Francis Group |c c2008 | |
| 300 | |a XIX, 434 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Kakaç's name appears first on the earlier edition. | ||
| 650 | 7 | |a Wärmeleitung |2 swd | |
| 650 | 7 | |a Wärmeübertragung |2 swd | |
| 650 | 4 | |a Heat |x Transmission | |
| 650 | 4 | |a Heat |x Conduction | |
| 650 | 0 | 7 | |a Wärmeübertragung |0 (DE-588)4064211-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wärmeleitung |0 (DE-588)4064192-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Wärmeleitung |0 (DE-588)4064192-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Wärmeübertragung |0 (DE-588)4064211-2 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Kakaç, Sadık |d 1932- |e Verfasser |0 (DE-588)136269036 |4 aut | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016809257&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-016809257 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804138126591918080 |
|---|---|
| adam_text | CONTENTS
Preface xv
Nomenclature xvii
1 FOUNDATIONS OF HEAT TRANSFER 1
1.1 Introductory Remarks 1
1.2 Modes of Heat Transfer 2
1.3 Continuum Concept 3
1.4 Some Definitions and Concepts of Thermodynamics 4
1.5 Law of Conservation of Mass 5
1.6 First Law of Thermodynamics 8
1.7 Second Law of Thermodynamics 12
1.8 Temperature Distribution 13
1.9 Fourier s Law of Heat Conduction 14
1.10 Thermal Conductivity 20
1.11 Newton s Cooling Law 23
1.12 Stefan-Boltzmann Law of Radiation 25
References 28
Problems 28
2 GENERAL HEAT CONDUCTION EQUATION 31
2.1 Introduction 31
2.2 General Heat Conduction Equation 31
vii
Viii CONTENTS
2.3 Initial and Boundary Conditions 38
2.3.1 Initial Condition 38
2.3.2 Boundary Conditions 38
2.4 Temperature-Dependent Thermal Conductivity
and Kirchhoff Transformation 43
References 44
Problems 44
3 ONE-DIMENSIONAL STEADY-STATE
HEAT CONDUCTION 47
3.1 Introduction 47
3.2 One-Dimensional Steady-State Heat Conduction
without Heat Sources 47
3.2.1 Plane Wall 48
3.2.2 Conduction through a Plane Wall from One Fluid
to Another 52
3.2.3 Hollow Cylinder 53
3.2.4 Spherical Shells 55
3.2.5 Thermal Resistance Concept 56
3.2.6 Composite Plane Walls 56
3.2.7 Cylindrical Composite Walls 58
3.2.8 Overall Heat Transfer Coefficient 59
3.2.9 Thermal Contact and Scale Resistances 59
3.2.10 Biot Number 62
3.2.11 Critical Thickness of Cylindrical Insulation 63
3.3 One-Dimensional Steady-State Heat Conduction
with Heat Sources 65
3.3.1 Plane Wall 66
3.3.2 Solid Cylinder 69
3.3.3 Effect of Cladding 71
3.4 Temperature-Dependent Thermal Conductivity 73
3.5 Space-Dependent Internal Energy Generation 75
3.6 Extended Surfaces: Fins and Spines 76
3.6.1 Extended Surfaces with Constant Cross Sections 79
3.6.2 Rectangular Fin of Least Material 83
3.6.3 Performance Factors 84
3.6.4 Heat Transfer from a Finned Wall 85
3.6.5 Limit of Usefulness of Fins 87
3.6.6 Extended Surfaces with Variable Cross Sections 88
References 93
Problems 94
CONTENTS ix
4 THE STURM-LIOUVILLE THEORY AND
FOURIER EXPANSIONS 103
4.1 Introduction 103
4.2 Characteristic-Value Problems 103
4.3 Orthogonal Functions 108
4.4 Sturm-Liouville Problem 108
4.5 Generalized Fourier Series 111
4.6 Ordinary Fourier Series 112
4.6.1 Fourier Sine Series 113
4.6.2 Fourier Cosine Series 114
4.7 Complete Fourier Series 116
4.8 Fourier-Bessel Series 120
References 125
Problems 126
5 STEADY-STATE TWO- AND THREE-DIMENSIONAL
HEAT CONDUCTION: SOLUTIONS WITH
SEPARATION OF VARIABLES 129
5.1 Introduction 129
5.2 Two-Dimensional Steady-State Problems in
the Rectangular Coordinate System 129
5.2.1 Nonhomogeneity in Boundary Conditions 137
5.2.2 Nonhomogeneity in Differential Equations 141
5.3 Two-Dimensional Steady-State Problems in
the Cylindrical Coordinate Systems 143
5.3.1 Two-Dimensional Steady-State Problems
in (r, cp) Variables 143
5.3.2 Steady-State Two-Dimensional Problems
in (r, z) Variables 148
5.4 Two-Dimensional Steady-State Problems
in the Spherical Coordinate Systems 151
5.4.1 Legendre Polynomials 152
5.4.2 Fourier-Legendre Series 155
5.4.3 Solid Sphere 158
5.5 Three-Dimensional Steady-State Systems 161
5.6 Heat Transfer Rates 164
References 165
Problems 166
6 UNSTEADY-STATE HEAT CONDUCTION: SOLUTIONS
WITH SEPARATION OF VARIABLES 179
6.1 Introduction 179
6.2 Lumped-Heat-Capacity Systems 181
X CONTENTS
6.3 One-Dimensional Distributed Systems 185
6.3.1 Cooling (or Heating) of a Large Flat Plate 188
6.3.2 Cooling (or Heating) of a Long Solid Cylinder 194
6.3.3 Cooling (or Heating) of a Solid Sphere 200
6.4 Multidimensional Systems 204
6.4.1 Cooling (or Heating) of a Long Rectangular Bar 205
6.4.2 Cooling (or Heating) of a Parallelepiped
and a Finite Cylinder 208
6.4.3 Semi-Infinite Body 210
6.4.4 Cooling (or Heating) of Semi-Infinite Bars,
Cylinders, and Plates 213
6.5 Periodic Surface Temperature Change 215
References 220
Problems 220
7 SOLUTIONS WITH INTEGRAL TRANSFORMS 229
7.1 Introduction 229
7.2 Finite Fourier Transforms 230
7.3 An Introductory Example 233
7.4 Fourier Transforms in the Semi-Infinite and Infinite
Regions 240
7.5 Unsteady-State Heat Conduction in Rectangular
Coordinates 244
7.5.1 A Semi-Infinite Rectangular Strip 244
7.5.2 Infinite Medium 248
7.6 Steady-State Two- and Three-Dimensional Problems
in Rectangular Coordinates 250
7.7 Hankel Transforms 253
7.8 Problems in Cylindrical Coordinates 255
7.9 Problems in Spherical Coordinate 259
7.10 Observations on the Method 261
References 262
Problems 262
8 SOLUTIONS WITH LAPLACE TRANSFORMS 267
8.1 Introduction 267
8.2 Definition of the Laplace Transform 268
8.3 Introductory Example 269
8.4 Some Important Properties of Laplace Transforms 271
8.5 The Inverse Laplace Transform 273
8.5.1 Method of Partial Fractions 273
8.5.2 Convolution Theorem 274
8.6 Laplace Transforms and Heat Conduction Problems 275
8.7 Plane Wall 276
CONTENTS Xi
8.8 Semi-Infinite Solid 279
8.9 Solid Cylinder 282
8.10 Solid Sphere 284
References 286
Problems 286
9 HEAT CONDUCTION WITH LOCAL HEAT SOURCES 289
9.1 Introduction 289
9.2 The Delta Function 290
9.2.1 Plane Heat Source 291
9.2.2 Cylindrical and Spherical Shell Heat Sources 292
9.3 Slab with Distributed and Plane Heat Sources 293
9.3.1 Instantaneous Volumetric Heat Source 294
9.3.2 Plane Heat Source 295
9.3.3 Instantaneous Plane Heat Source 295
9.4 Long Solid Cylinder with Cylindrical Shell
and Line Heat Sources 296
9.4.1 Cylindrical Shell Heat Source 296
9.4.2 Instantaneous Cylindrical Shell Heat Source 297
9.4.3 Line Heat Source 297
9.4.4 Instantaneous Line Heat Source 298
9.5 Solid Sphere with Spherical Shell and Point
Heat Sources 298
9.5.1 Spherical Shell Heat Source 299
9.5.2 Instantaneous Spherical Shell Heat Source 299
9.5.3 Point Heat Source 300
9.5.4 Instantaneous Point Heat Source 300
9.6 Infinite Region with Line Heat Source 300
9.6.1 Continuous Heat Release 301
9.6.2 Instantaneous Line Heat Source 302
9.7 Infinite Region with Point Heat Source 303
9.7.1 Continuous Heat Release 303
9.7.2 Instantaneous Point Heat Source 305
9.8 Systems with Moving Heat Sources 305
9.8.1 Quasi-Steady State Condition 306
9.8.2 Moving Plane Heat Source in an Infinite Solid 308
References 309
Problems 309
10 FURTHER ANALYTICAL METHODS OF SOLUTION 313
10.1 Introduction 313
10.2 Duhamel s Method 313
10.3 The Similarity Method 316
Xii CONTENTS
10.4 The Integral Method 320
10.4.1 Problems with Temperature-Dependent
Thermal Conductivity 324
10.4.2 Nonlinear Boundary Conditions 326
10.4.3 Plane Wall 328
10.4.4 Problems with Cylindrical
and Spherical Symmetry 330
10.5 Variational Formulation and Solution by the Ritz Method 330
10.5.1 Basics of Variational Calculus 330
10.5.2 Variational Formulation of Heat
Conduction Problems 332
10.5.3 Approximate Solutions by the Ritz Method 334
References 336
Problems 336
11 HEAT CONDUCTION INVOLVING PHASE CHANGE 341
11.1 Introduction 341
11.2 Boundary Conditions at a Sharp Moving Interface 343
11.2.1 Continuity of Temperature at the Interface 343
11.2.2 Energy Balance at the Interface 343
11.3 A Single-Region Phase-Change Problem 345
11.3.1 Formulation 345
11.3.2 Stefan s Exact Solution 346
11.3.3 Approximate Solution by the Integral Method 349
11.4 A Two-Region Phase-Change Problem 350
11.4.1 Formulation 351
11.4.2 Neumann s Exact Solution 351
11.5 Solidification Due to a Line Heat Sink
in a Large Medium 353
11.6 Solidification Due to a Point Heat Sink
in a Large Medium 356
11.6.1 Similarity Solution
for the Case of qpt(t) = Q0tl/2 357
11.7 Solutions by the Quasi-Steady Approximation 359
11.7.1 Melting of a Slab with Prescribed
Surface Temperatures 360
11.7.2 Melting of a Slab with Imposed
Surface Heat Flux 362
11.7.3 Melting of a Slab with Convection 363
11.7.4 Outward Melting of a Hollow Cylinder 364
11.7.5 Inward Melting of a Solid Sphere 366
11.8 Solidification of Binary Alloys 366
11.8.1 Equilibrium-Phase Diagram 367
11.8.2 Solidification of a Binary Alloy 368
CONTENTS xiii
References 372
Problems 373
12 NUMERICAL SOLUTIONS 375
12.1 Introduction 375
12.2 Finite-Difference Approximation of Derivatives 376
12.3 Finite-Difference Formulation of Steady-State Problems
in Rectangular Coordinates 377
12.4 Finite-Difference Approximation
of Boundary Conditions 380
12.4.1 Boundary Exchanging Heat by Convection
with a Medium at a Prescribed Temperature 380
12.4.2 Insulated Boundary 381
12.5 Irregular Boundaries 382
12.6 Solution of Finite-Difference Equations 383
12.6.1 Relaxation Method 383
12.6.2 Matrix Inversion Method 385
12.6.3 Gaussian Elimination Method 387
12.7 Finite-Difference Formulation of One-Dimensional,
Unsteady-State Problems in Rectangular Coordinates 388
12.7.1 Explicit Method 389
12.7.2 Implicit Method 393
12.7.3 Crank-Nicolson Method 394
12.8 Finite-Difference Formulation of Two-Dimensional,
Unsteady-State Problems in Rectangular Coordinates 395
12.9 Finite-Difference Formulation of Problems
in Cylindrical Coordinates 397
12.10 Errors in Finite-Difference Solutions 399
12.11 Convergence and Stability 401
12.12 Graphical Solutions 402
References 405
Problems 405
APPENDIX A THERMOPHYSICAL PROPERTIES 409
APPENDIX B BESSEL FUNCTIONS 413
APPENDIX C ERROR FUNCTION 423
APPENDIX D LAPLACE TRANSFORMS 425
APPENDIX E EXPONENTIAL INTEGRAL FUNCTIONS 429
Index 431
|
| adam_txt |
CONTENTS
Preface xv
Nomenclature xvii
1 FOUNDATIONS OF HEAT TRANSFER 1
1.1 Introductory Remarks 1
1.2 Modes of Heat Transfer 2
1.3 Continuum Concept 3
1.4 Some Definitions and Concepts of Thermodynamics 4
1.5 Law of Conservation of Mass 5
1.6 First Law of Thermodynamics 8
1.7 Second Law of Thermodynamics 12
1.8 Temperature Distribution 13
1.9 Fourier's Law of Heat Conduction 14
1.10 Thermal Conductivity 20
1.11 Newton's Cooling Law 23
1.12 Stefan-Boltzmann Law of Radiation 25
References 28
Problems 28
2 GENERAL HEAT CONDUCTION EQUATION 31
2.1 Introduction 31
2.2 General Heat Conduction Equation 31
vii
Viii CONTENTS
2.3 Initial and Boundary Conditions 38
2.3.1 Initial Condition 38
2.3.2 Boundary Conditions 38
2.4 Temperature-Dependent Thermal Conductivity
and Kirchhoff Transformation 43
References 44
Problems 44
3 ONE-DIMENSIONAL STEADY-STATE
HEAT CONDUCTION 47
3.1 Introduction 47
3.2 One-Dimensional Steady-State Heat Conduction
without Heat Sources 47
3.2.1 Plane Wall 48
3.2.2 Conduction through a Plane Wall from One Fluid
to Another 52
3.2.3 Hollow Cylinder 53
3.2.4 Spherical Shells 55
3.2.5 Thermal Resistance Concept 56
3.2.6 Composite Plane Walls 56
3.2.7 Cylindrical Composite Walls 58
3.2.8 Overall Heat Transfer Coefficient 59
3.2.9 Thermal Contact and Scale Resistances 59
3.2.10 Biot Number 62
3.2.11 Critical Thickness of Cylindrical Insulation 63
3.3 One-Dimensional Steady-State Heat Conduction
with Heat Sources 65
3.3.1 Plane Wall 66
3.3.2 Solid Cylinder 69
3.3.3 Effect of Cladding 71
3.4 Temperature-Dependent Thermal Conductivity 73
3.5 Space-Dependent Internal Energy Generation 75
3.6 Extended Surfaces: Fins and Spines 76
3.6.1 Extended Surfaces with Constant Cross Sections 79
3.6.2 Rectangular Fin of Least Material 83
3.6.3 Performance Factors 84
3.6.4 Heat Transfer from a Finned Wall 85
3.6.5 Limit of Usefulness of Fins 87
3.6.6 Extended Surfaces with Variable Cross Sections 88
References 93
Problems 94
CONTENTS ix
4 THE STURM-LIOUVILLE THEORY AND
FOURIER EXPANSIONS 103
4.1 Introduction 103
4.2 Characteristic-Value Problems 103
4.3 Orthogonal Functions 108
4.4 Sturm-Liouville Problem 108
4.5 Generalized Fourier Series 111
4.6 Ordinary Fourier Series 112
4.6.1 Fourier Sine Series 113
4.6.2 Fourier Cosine Series 114
4.7 Complete Fourier Series 116
4.8 Fourier-Bessel Series 120
References 125
Problems 126
5 STEADY-STATE TWO- AND THREE-DIMENSIONAL
HEAT CONDUCTION: SOLUTIONS WITH
SEPARATION OF VARIABLES 129
5.1 Introduction 129
5.2 Two-Dimensional Steady-State Problems in
the Rectangular Coordinate System 129
5.2.1 Nonhomogeneity in Boundary Conditions 137
5.2.2 Nonhomogeneity in Differential Equations 141
5.3 Two-Dimensional Steady-State Problems in
the Cylindrical Coordinate Systems 143
5.3.1 Two-Dimensional Steady-State Problems
in (r, cp) Variables 143
5.3.2 Steady-State Two-Dimensional Problems
in (r, z) Variables 148
5.4 Two-Dimensional Steady-State Problems
in the Spherical Coordinate Systems 151
5.4.1 Legendre Polynomials 152
5.4.2 Fourier-Legendre Series 155
5.4.3 Solid Sphere 158
5.5 Three-Dimensional Steady-State Systems 161
5.6 Heat Transfer Rates 164
References 165
Problems 166
6 UNSTEADY-STATE HEAT CONDUCTION: SOLUTIONS
WITH SEPARATION OF VARIABLES 179
6.1 Introduction 179
6.2 Lumped-Heat-Capacity Systems 181
X CONTENTS
6.3 One-Dimensional Distributed Systems 185
6.3.1 Cooling (or Heating) of a Large Flat Plate 188
6.3.2 Cooling (or Heating) of a Long Solid Cylinder 194
6.3.3 Cooling (or Heating) of a Solid Sphere 200
6.4 Multidimensional Systems 204
6.4.1 Cooling (or Heating) of a Long Rectangular Bar 205
6.4.2 Cooling (or Heating) of a Parallelepiped
and a Finite Cylinder 208
6.4.3 Semi-Infinite Body 210
6.4.4 Cooling (or Heating) of Semi-Infinite Bars,
Cylinders, and Plates 213
6.5 Periodic Surface Temperature Change 215
References 220
Problems 220
7 SOLUTIONS WITH INTEGRAL TRANSFORMS 229
7.1 Introduction 229
7.2 Finite Fourier Transforms 230
7.3 An Introductory Example 233
7.4 Fourier Transforms in the Semi-Infinite and Infinite
Regions 240
7.5 Unsteady-State Heat Conduction in Rectangular
Coordinates 244
7.5.1 A Semi-Infinite Rectangular Strip 244
7.5.2 Infinite Medium 248
7.6 Steady-State Two- and Three-Dimensional Problems
in Rectangular Coordinates 250
7.7 Hankel Transforms 253
7.8 Problems in Cylindrical Coordinates 255
7.9 Problems in Spherical Coordinate 259
7.10 Observations on the Method 261
References 262
Problems 262
8 SOLUTIONS WITH LAPLACE TRANSFORMS 267
8.1 Introduction 267
8.2 Definition of the Laplace Transform 268
8.3 Introductory Example 269
8.4 Some Important Properties of Laplace Transforms 271
8.5 The Inverse Laplace Transform 273
8.5.1 Method of Partial Fractions 273
8.5.2 Convolution Theorem 274
8.6 Laplace Transforms and Heat Conduction Problems 275
8.7 Plane Wall 276
CONTENTS Xi
8.8 Semi-Infinite Solid 279
8.9 Solid Cylinder 282
8.10 Solid Sphere 284
References 286
Problems 286
9 HEAT CONDUCTION WITH LOCAL HEAT SOURCES 289
9.1 Introduction 289
9.2 The Delta Function 290
9.2.1 Plane Heat Source 291
9.2.2 Cylindrical and Spherical Shell Heat Sources 292
9.3 Slab with Distributed and Plane Heat Sources 293
9.3.1 Instantaneous Volumetric Heat Source 294
9.3.2 Plane Heat Source 295
9.3.3 Instantaneous Plane Heat Source 295
9.4 Long Solid Cylinder with Cylindrical Shell
and Line Heat Sources 296
9.4.1 Cylindrical Shell Heat Source 296
9.4.2 Instantaneous Cylindrical Shell Heat Source 297
9.4.3 Line Heat Source 297
9.4.4 Instantaneous Line Heat Source 298
9.5 Solid Sphere with Spherical Shell and Point
Heat Sources 298
9.5.1 Spherical Shell Heat Source 299
9.5.2 Instantaneous Spherical Shell Heat Source 299
9.5.3 Point Heat Source 300
9.5.4 Instantaneous Point Heat Source 300
9.6 Infinite Region with Line Heat Source 300
9.6.1 Continuous Heat Release 301
9.6.2 Instantaneous Line Heat Source 302
9.7 Infinite Region with Point Heat Source 303
9.7.1 Continuous Heat Release 303
9.7.2 Instantaneous Point Heat Source 305
9.8 Systems with Moving Heat Sources 305
9.8.1 Quasi-Steady State Condition 306
9.8.2 Moving Plane Heat Source in an Infinite Solid 308
References 309
Problems 309
10 FURTHER ANALYTICAL METHODS OF SOLUTION 313
10.1 Introduction 313
10.2 Duhamel's Method 313
10.3 The Similarity Method 316
Xii CONTENTS
10.4 The Integral Method 320
10.4.1 Problems with Temperature-Dependent
Thermal Conductivity 324
10.4.2 Nonlinear Boundary Conditions 326
10.4.3 Plane Wall 328
10.4.4 Problems with Cylindrical
and Spherical Symmetry 330
10.5 Variational Formulation and Solution by the Ritz Method 330
10.5.1 Basics of Variational Calculus 330
10.5.2 Variational Formulation of Heat
Conduction Problems 332
10.5.3 Approximate Solutions by the Ritz Method 334
References 336
Problems 336
11 HEAT CONDUCTION INVOLVING PHASE CHANGE 341
11.1 Introduction 341
11.2 Boundary Conditions at a Sharp Moving Interface 343
11.2.1 Continuity of Temperature at the Interface 343
11.2.2 Energy Balance at the Interface 343
11.3 A Single-Region Phase-Change Problem 345
11.3.1 Formulation 345
11.3.2 Stefan's Exact Solution 346
11.3.3 Approximate Solution by the Integral Method 349
11.4 A Two-Region Phase-Change Problem 350
11.4.1 Formulation 351
11.4.2 Neumann's Exact Solution 351
11.5 Solidification Due to a Line Heat Sink
in a Large Medium 353
11.6 Solidification Due to a Point Heat Sink
in a Large Medium 356
11.6.1 Similarity Solution
for the Case of qpt(t) = Q0tl/2 357
11.7 Solutions by the Quasi-Steady Approximation 359
11.7.1 Melting of a Slab with Prescribed
Surface Temperatures 360
11.7.2 Melting of a Slab with Imposed
Surface Heat Flux 362
11.7.3 Melting of a Slab with Convection 363
11.7.4 Outward Melting of a Hollow Cylinder 364
11.7.5 Inward Melting of a Solid Sphere 366
11.8 Solidification of Binary Alloys 366
11.8.1 Equilibrium-Phase Diagram 367
11.8.2 Solidification of a Binary Alloy 368
CONTENTS xiii
References 372
Problems 373
12 NUMERICAL SOLUTIONS 375
12.1 Introduction 375
12.2 Finite-Difference Approximation of Derivatives 376
12.3 Finite-Difference Formulation of Steady-State Problems
in Rectangular Coordinates 377
12.4 Finite-Difference Approximation
of Boundary Conditions 380
12.4.1 Boundary Exchanging Heat by Convection
with a Medium at a Prescribed Temperature 380
12.4.2 Insulated Boundary 381
12.5 Irregular Boundaries 382
12.6 Solution of Finite-Difference Equations 383
12.6.1 Relaxation Method 383
12.6.2 Matrix Inversion Method 385
12.6.3 Gaussian Elimination Method 387
12.7 Finite-Difference Formulation of One-Dimensional,
Unsteady-State Problems in Rectangular Coordinates 388
12.7.1 Explicit Method 389
12.7.2 Implicit Method 393
12.7.3 Crank-Nicolson Method 394
12.8 Finite-Difference Formulation of Two-Dimensional,
Unsteady-State Problems in Rectangular Coordinates 395
12.9 Finite-Difference Formulation of Problems
in Cylindrical Coordinates 397
12.10 Errors in Finite-Difference Solutions 399
12.11 Convergence and Stability 401
12.12 Graphical Solutions 402
References 405
Problems 405
APPENDIX A THERMOPHYSICAL PROPERTIES 409
APPENDIX B BESSEL FUNCTIONS 413
APPENDIX C ERROR FUNCTION 423
APPENDIX D LAPLACE TRANSFORMS 425
APPENDIX E EXPONENTIAL INTEGRAL FUNCTIONS 429
Index 431 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Yener, Yaman 1946-2013 Kakaç, Sadık 1932- |
| author_GND | (DE-588)1163741795 (DE-588)136269036 |
| author_facet | Yener, Yaman 1946-2013 Kakaç, Sadık 1932- |
| author_role | aut aut |
| author_sort | Yener, Yaman 1946-2013 |
| author_variant | y y yy s k sk |
| building | Verbundindex |
| bvnumber | BV035141885 |
| callnumber-first | Q - Science |
| callnumber-label | QC320 |
| callnumber-raw | QC320 |
| callnumber-search | QC320 |
| callnumber-sort | QC 3320 |
| callnumber-subject | QC - Physics |
| classification_rvk | UG 2600 |
| ctrlnum | (OCoLC)225846887 (DE-599)BVBBV035141885 |
| dewey-full | 621.402/23 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.402/23 |
| dewey-search | 621.402/23 |
| dewey-sort | 3621.402 223 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Energietechnik |
| discipline_str_mv | Physik Energietechnik |
| edition | 4. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01842nam a2200493zc 4500</leader><controlfield tag="001">BV035141885</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20180802 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">081105s2008 xxud||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2008017132</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781591690467</subfield><subfield code="9">978-1-59169-046-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)225846887</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV035141885</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1050</subfield><subfield code="a">DE-2070s</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC320</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">621.402/23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UG 2600</subfield><subfield code="0">(DE-625)145619:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Yener, Yaman</subfield><subfield code="d">1946-2013</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1163741795</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Heat conduction</subfield><subfield code="c">Yaman Yener ; Sadık Kakaç</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">4. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY [u.a.]</subfield><subfield code="b">Taylor & Francis Group</subfield><subfield code="c">c2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIX, 434 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Kakaç's name appears first on the earlier edition.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Wärmeleitung</subfield><subfield code="2">swd</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Wärmeübertragung</subfield><subfield code="2">swd</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Heat</subfield><subfield code="x">Transmission</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Heat</subfield><subfield code="x">Conduction</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wärmeübertragung</subfield><subfield code="0">(DE-588)4064211-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wärmeleitung</subfield><subfield code="0">(DE-588)4064192-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Wärmeleitung</subfield><subfield code="0">(DE-588)4064192-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Wärmeübertragung</subfield><subfield code="0">(DE-588)4064211-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kakaç, Sadık</subfield><subfield code="d">1932-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)136269036</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016809257&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-016809257</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV035141885 |
| illustrated | Illustrated |
| index_date | 2024-07-02T22:27:29Z |
| indexdate | 2024-07-09T21:23:14Z |
| institution | BVB |
| isbn | 9781591690467 |
| language | English |
| lccn | 2008017132 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016809257 |
| oclc_num | 225846887 |
| open_access_boolean | |
| owner | DE-1050 DE-2070s |
| owner_facet | DE-1050 DE-2070s |
| physical | XIX, 434 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Taylor & Francis Group |
| record_format | marc |
| spelling | Yener, Yaman 1946-2013 Verfasser (DE-588)1163741795 aut Heat conduction Yaman Yener ; Sadık Kakaç 4. ed. New York, NY [u.a.] Taylor & Francis Group c2008 XIX, 434 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Kakaç's name appears first on the earlier edition. Wärmeleitung swd Wärmeübertragung swd Heat Transmission Heat Conduction Wärmeübertragung (DE-588)4064211-2 gnd rswk-swf Wärmeleitung (DE-588)4064192-2 gnd rswk-swf Wärmeleitung (DE-588)4064192-2 s DE-604 Wärmeübertragung (DE-588)4064211-2 s 1\p DE-604 Kakaç, Sadık 1932- Verfasser (DE-588)136269036 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016809257&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Yener, Yaman 1946-2013 Kakaç, Sadık 1932- Heat conduction Wärmeleitung swd Wärmeübertragung swd Heat Transmission Heat Conduction Wärmeübertragung (DE-588)4064211-2 gnd Wärmeleitung (DE-588)4064192-2 gnd |
| subject_GND | (DE-588)4064211-2 (DE-588)4064192-2 |
| title | Heat conduction |
| title_auth | Heat conduction |
| title_exact_search | Heat conduction |
| title_exact_search_txtP | Heat conduction |
| title_full | Heat conduction Yaman Yener ; Sadık Kakaç |
| title_fullStr | Heat conduction Yaman Yener ; Sadık Kakaç |
| title_full_unstemmed | Heat conduction Yaman Yener ; Sadık Kakaç |
| title_short | Heat conduction |
| title_sort | heat conduction |
| topic | Wärmeleitung swd Wärmeübertragung swd Heat Transmission Heat Conduction Wärmeübertragung (DE-588)4064211-2 gnd Wärmeleitung (DE-588)4064192-2 gnd |
| topic_facet | Wärmeleitung Wärmeübertragung Heat Transmission Heat Conduction |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016809257&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT yeneryaman heatconduction AT kakacsadık heatconduction |