Finite Difference Methods in Heat Transfer
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Summary
Finite Difference Methods in Heat Transfer presents a clear, step-by-step delineation of finite difference methods for solving engineering problems governed by ordinary and partial differential equations, with emphasis on heat transfer applications. The finite difference techniques presented apply to the numerical solution of problems governed by similar differential equations encountered in many other fields. Fundamental concepts are introduced in an easy-to-follow manner.
Representative examples illustrate the application of a variety of powerful and widely used finite difference techniques. The physical situations considered include the steady state and transient heat conduction, phase-change involving melting and solidification, steady and transient forced convection inside ducts, free convection over a flat plate, hyperbolic heat conduction, nonlinear diffusion, numerical grid generation techniques, and hybrid numerical-analytic solutions.
Table of Contents
Preface
Basic Relations
Discrete Approximation of Derivatives
Methods of Solving Sets of Algebraic Equations
One-Dimensional Steady-State Systems
One-Dimensional Parabolic Systems
Multidimensional Parabolic Systems
Elliptic Systems
Hyperbolic Systems
Nonlinear Diffusion
Phase Change Problems
Numerical Grid Generation
Hybrid Numerical-Analytic Solutions
References
Appendices: Subroutine Gauss
Subroutine Trisol
Subroutine SOR
Program to Solve Example 10-1
Discretization Formula
Index.
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