Heat Conduction

ISBN-10: 0470902930
ISBN-13: 9780470902936
Edition: 3rd 2012
List price: $120.00 Buy it from $76.65
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Description: The proposed will be a revision of a classic text on heat conduction which is considered to have the most comprehensive coverage with emphasis on the mathematics and underlying physics. The current text has considerable depth and analytical rigor  More...

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Book details

List price: $120.00
Edition: 3rd
Copyright year: 2012
Publisher: John Wiley & Sons, Limited
Publication date: 10/2/2012
Binding: Hardcover
Pages: 744
Size: 6.25" wide x 9.25" long x 1.75" tall
Weight: 2.486
Language: English

The proposed will be a revision of a classic text on heat conduction which is considered to have the most comprehensive coverage with emphasis on the mathematics and underlying physics. The current text has considerable depth and analytical rigor but after the initial introduction and set-up of the given solution scheme, the treatment is usually reduced to a "generic" solution approach. Comments about the physics of the solution (e.g. transient vs. steady-state components and conservation of energy) are not always given. The second half of the current edition is largely dedicated to approximate and numerical schemes. While these are important topics, rigorous coverage is simply not practical in a single conduction course. At the same time an increasingly important topic in thermal science is coverage of micro- and nano-scale heat transfer. The proposed new edition will then lower the emphasis on numerical methods while increasing coverage of key new topics of micro- and nano-scale heat transfer. New examples, problems, and cases will be added and a solutions manual will be available.

Preface
Preface to Second Edition
Heat Conduction Fundamentals
The Heat Flux
Thermal Conductivity
Differential Equation of Heat Conduction
Fourier's Law and the Heat Equation in Cylindrical and Spherical Coordinate Systems
General Boundary Conditions and Initial Condition for the Heat Equation
Nondimensional Analysis of the Heat Conduction Equation
Heat Conduction Equation for Anisotropic Medium
Lumped and Partially Lumped Formulation
References
Problems
Orthogonal Functions, Boundary Value Problems, and the Fourier Series
Orthogonal Functions
Boundary Value, Problems
The Fourier Series
Computation of Eigenvalues
Fourier Integrals
References
Problems
Separation of Variables in the Rectangular Coordinate System
Basic Concepts in the Separation of Variables Method
Generalization to Multidimensional Problems
Solution of Multidimensional Homogenous Problems
Multidimensional Nonhomogeneous Problems: Method of Superposition
Product Solution
Capstone Problem
References
Problems
Separation of Variables in the Cylindrical Coordinate System
Separation of Heat Conduction Equation in the Cylindrical Coordinate System
Solution of Steady-State Problems
Solution of Transient Problems
Capstone Problem
References
Problems
Separation of Variables in the Spherical Coordinate System
Separation of Heat Conduction Equation in the Spherical Coordinate System
Solution of Steady-State Problems
Solution of Transient Problems
Capstone Problem
References
Problems
Notes
Solution of the Heat Equation for Semi-Infinite and Infinite Domains
One-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Cartesian Coordinate System
Multidimensional Homogeneous Problems in a Semi-Infinite Medium for the Cartesian Coordinate System
One-Dimensional Homogeneous Problems in an Infinite Medium for the Cartesian Coordinate System
One-Dimensional homogeneous Problems in a Semi-Infinite Medium for the Cylindrical Coordinate System
Two-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Cylindrical Coordinate System
One-Dimensional Homogeneous Problems in a Semi-Infinite Medium for the Spherical Coordinate System
References
Problems
Use of Duhamel's Theorem
Development of Duhamel's Theorem for Continuous Time-Dependent Boundary Conditions
Treatment of Discontinuities
General Statement of Duhamel's Theorem
Applications of Duhamel's Theorem
Applications of Duhamel's Theorem for Internal Energy Generation
References
Problems
Use of Green's Function for Solution of Heat Conduction Problems
Green's Function Approach for Solving Nonhomogeneous Transient Heat Conduction
Determination of Green's Functions
Representation of Point, Line, and Surface Heat Sources with Delta Functions
Applications of Green's Function in the Rectangular Coordinate System
Applications of Green's Function in the Cylindrical Coordinate System
Applications of Green's Function in the Spherical Coordinate System
Products of Green's Functions
References
Problems
Use of the Laplace Transform
Definition of Laplace Transformation
Properties of Laplace Transform
Inversion of Laplace Transform Using the Inversion Tables
Application of the Laplace Transform in the Solution of Time-Dependent Heat Conduction Problems
Approximations for Small Times
References
Problems
One-Dimensional Composite Medium
Mathematical Formulation of One-Dimensional Transient Heat Conduction in a Composite Medium
Transformation of Nonhomogeneous Boundary Conditions into Homogeneous Ones
Orthogonal Expansion Technique for Solving M-Layer Homogeneous Problems
Determination of Eigenfunctions and Eigenvalues
Applications of Orthogonal Expansion Technique
Green's Function Approach for Solving Nonhomogeneous Problems
Use of Laplace Transform for Solving Semi-Infinite and Infinite Medium Problems
References
Problems
Moving Heat Source Problems
Mathematical Modeling of Moving Heat Source Problems
One-Dimensional Quasi-Stationary Plane Heat Source Problem
Two-Dimensional Quasi-Stationary Line Heat Source Problem
Two-Dimensional Quasi-Stationary Ring Heat Source Problem
References
Problems
Phase-Change Problems
Mathematical Formulation of Phase-Change Problems
Exact Solution of Phase-Change Problems
Integral Method of Solution of Phase-Change Problems
Variable Time Step Method for Solving Phase-Change Problems: A Numerical Solution
Enthalpy Method for Solution of Phase-Change Problems: A Numerical Solution
References
Problems
Note
Approximate Analytic Methods
Integral Method: Basic Concepts
Integral Method: Application to Linear Transient Heat Conduction in a Semi-Infinite Medium
Integral Method: Application to Nonlinear Transient Heat Conduction
Integral Method: Application to a Finite Region
Approximate Analytic Methods of Residuals
The Galerkin Method
Partial Integration
Application to Transient Problems
References
Problems
Integral Transform Technique
Use of Integral Transform in the Solution of Heat Conduction Problems
Applications in the Rectangular Coordinate System
Applications in the Cylindrical Coordinate System
Applications in the Spherical Coordinate System
Applications in the Solution of Steady-state problems
References
Problems
Notes
Heat Conduction in Anisotropic Solids
Heat Flux for Anisotropic Solids
Heat Conduction Equation for Anisotropic Solids
Boundary Conditions
Thermal Resistivity Coefficients
Determination of Principal Conductivities and Principal Axes
Conductivity Matrix for Crystal Systems
Transformation of Heat Conduction Equation for Orthotropic Medium
Some Special Cases
Heat Conduction in an Orthotropic Medium
Multidimensional Heat Conduction in an Anisotropic Medium
References
Problems
Notes
Introduction to Microscale Heat Conduction
Microstructure and Relevant Length Scales
Physics of Energy Carriers
Energy Storage and Transport
Limitations of Fourier's Law and the First Regime of Microscale Heat Transfer
Solutions and Approximations for the First Regime of Microscale Heat Transfer
Second and Third Regimes of Microscale Heat Transfer
Summary Remarks
References
Appendixes
Physical Properties
Physical Properties of Metals
Physical Properties of Nonmetals
Physical Properties of Insulating Materials
Roots of Transcendental Equations
Error Functions
Bessel Functions
Numerical Values of Bessel Functions
First 10 Roots of J<sub>n</sub>(Z)=0, n=0,1,2,3,4,5
First Six Roots of �J<sub>1</sub>(�)-cJ<sub>0</sub>(�)=0
First Five Roots of J<sub>0</sub>(�)Y<sub>0</sub>(c�)-Y<sub>0</sub>(�)J<sub>0</sub>(c�)=0
Numerical Values of Legendre Polynomials of the First Kind
Properties of Delta Functions
Index

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