HEAT CONDUCTION
Mechanical Engineering
THE LONG-AWAITED REVISION OF THE BESTSELLER ON HEAT CONDUCTION
Heat Conduction, Third Edition is an update of the classic text on heat conduction, replacing some of the coverage of numerical methods with content on micro- and nanoscale heat transfer. With an emphasis on the mathematics and underlying physics, this new edition has considerable depth and analytical rigor, providing a systematic framework for each solution scheme with attention to boundary conditions and energy conservation. Chapter coverage includes:
* Heat conduction fundamentals
* Orthogonal functions, boundary value problems, and the Fourier Series
* The separation of variables in the rectangular coordinate system
* The separation of variables in the cylindrical coordinate system
* The separation of variables in the spherical coordinate system
* Solution of the heat equation for semi-infinite and infinite domains
* The use of Duhamel's theorem
* The use of Green's function for solution of heat conduction
* The use of the Laplace transform
* One-dimensional composite medium
* Moving heat source problems
* Phase-change problems
* Approximate analytic methods
* Integral-transform technique
* Heat conduction in anisotropic solids
* Introduction to microscale heat conduction
In addition, new capstone examples are included in this edition and extensive problems, cases, and examples have been thoroughly updated. A solutions manual is also available.
Heat Conduction is appropriate reading for students in mainstream courses of conduction heat transfer, students in mechanical engineering, and engineers in research and design functions throughout industry.
Autorentext
DAVID W. HAHN is the Knox T. Millsaps Professor of Mechanical and Aerospace Engineering at the University of Florida, Gainesville. His areas of specialization include both thermal sciences and biomedical engineering, including the development and application of laser-based diagnostic techniques and general laser-material interactions.
The late M. NECATI ÖZISIK retired as Professor Emeritus of North Carolina State University's Mechanical and Aerospace Engineering Department, where he spent most of his academic career. Professor Öziik dedicated his life to education and research in heat transfer. His outstanding contributions earned him several awards, including the Outstanding Engineering Educator Award from the American Society for Engineering Education in 1992.
Zusammenfassung
HEAT CONDUCTION
Mechanical Engineering
THE LONG-AWAITED REVISION OF THE BESTSELLER ON HEAT CONDUCTION
Heat Conduction, Third Edition is an update of the classic text on heat conduction, replacing some of the coverage of numerical methods with content on micro- and nanoscale heat transfer. With an emphasis on the mathematics and underlying physics, this new edition has considerable depth and analytical rigor, providing a systematic framework for each solution scheme with attention to boundary conditions and energy conservation. Chapter coverage includes:
- Heat conduction fundamentals
- Orthogonal functions, boundary value problems, and the Fourier Series
- The separation of variables in the rectangular coordinate system
- The separation of variables in the cylindrical coordinate system
- The separation of variables in the spherical coordinate system
- Solution of the heat equation for semi-infinite and infinite domains
- The use of Duhamel's theorem
- The use of Green's function for solution of heat conduction
- The use of the Laplace transform
- One-dimensional composite medium
- Moving heat source problems
- Phase-change problems
- Approximate analytic methods
- Integral-transform technique
- Heat conduction in anisotropic solids
- Introduction to microscale heat conduction
In addition, new capstone examples are included in this edition and extensive problems, cases, and examples have been thoroughly updated. A solutions manual is also available.
Heat Conduction is appropriate reading for students in mainstream courses of conduction heat transfer, students in mechanical engineering, and engineers in research and design functions throughout industry.
Inhalt
Preface xiii
Preface to Second Edition xvii
1 Heat Conduction Fundamentals 1
1-1 The Heat Flux 2
1-2 Thermal Conductivity 4
1-3 Differential Equation of Heat Conduction 6
1-4 Fourier's Law and the Heat Equation in Cylindrical and Spherical Coordinate Systems 14
1-5 General Boundary Conditions and Initial Condition for the Heat Equation 16
1-6 Nondimensional Analysis of the Heat Conduction Equation 25
1-7 Heat Conduction Equation for Anisotropic Medium 27
1-8 Lumped and Partially Lumped Formulation 29
References 36
Problems 37
2 Orthogonal Functions, Boundary Value Problems, and the Fourier Series 40
2-1 Orthogonal Functions 40
2-2 Boundary Value Problems 41
2-3 The Fourier Series 60
2-4 Computation of Eigenvalues 63
2-5 Fourier Integrals 67
References 73
Problems 73
3 Separation of Variables in the Rectangular Coordinate System 75
3-1 Basic Concepts in the Separation of Variables Method 75
3-2 Generalization to Multidimensional Problems 85
3-3 Solution of Multidimensional Homogenous Problems 86
3-4 Multidimensional Nonhomogeneous Problems: Method of Superposition 98
3-5 Product Solution 112
3-6 Capstone Problem 116
References 123
Problems 124
4 Separation of Variables in the Cylindrical Coordinate System 128
4-1 Separation of Heat Conduction Equation in the Cylindrical Coordinate System 128
4-2 Solution of Steady-State Problems 131
4-3 Solution of Transient Problems 151
4-4 Capstone Problem 167
References 179
Problems 179
5 Separation of Variables in the Spherical Coordinate System 183
5-1 Separation of Heat Conduction Equation in the Spherical Coordinate System 183
5-2 Solution of Steady-State Problems 188
5-3 Solution of Transient Problems 194
5-4 Capstone Problem 221
References 233
Problems 233
Notes 235
6 Solution of the Heat Equation for Semi-Infinite and Infinite Domains 236
6-1 One-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Cartesian Coordinate System 236
6-2 Multidimensional Homogeneous Problems in a Semi-Infinite Medium for the Cartesian Coordinate System 247
6-3 One-Dimensional Homogeneous Problems in An Infinite Medium for the Cartesian Coordinate System 255
6-4 One-Dimensional homogeneous Problems in a Semi-Infinite Medium for the Cylindrical Coordinate System 260
6-5 Two-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Cylindrical Coordinate System 265
6-6 One-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Spherical Coordinate System 268
References 271
Problems 271
7 Use of Duhamel's Theorem 273
7-1 Development of Duhamel's Theorem for Continuous Time-Dependent Boundary Conditions 273
7-2 Treatment of Discontinuities 276
7-3 General Statement of Duhamel's Theorem 278
7-4 Applications of Duhamel's Theorem 281
7-5 Applications of Duhamel's Theorem for Internal Energy Generation 294
References 296
Problems 297
8 Use of Green's Function for Solution of Heat Conduction Problems 300
8-1 Green's Function A…