Finite Difference Methods in Heat Transfer

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CRC Press, Apr 25, 1994 - Science - 432 pages
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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.
 

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Contents

Basic Relations
1
Discrete Approximation of Derivatives
19
Methods of Solving Sets of Algebraic Equations
43
OneDimensional SteadyState Systems
75
OneDimensional Parabolic Systems
99
ii Onedimensional transient convection and diffusion
168
Elliptic Systems
189
Hyperbolic Systems
227
Phase Change Problems
275
Hybrid NumericalAnalytic Solutions
359
Convection Inside a Parallel Plate Duct with Step Change
369
References
377
Appendices
395
Program to Solve Example 101
401
Index
409
Copyright

Nonlinear Diffusion
249

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