ABSTRACT

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.

chapter One|18 pages

Basic Relations

chapter Two|24 pages

Discrete Approximation of Derivatives

chapter Three|32 pages

Methods Of Solving Sets Of Algebraic Equations

chapter Four|24 pages

One-Dimensional Steady-State Systems

chapter Five|52 pages

One-Dimensional Parabolic System

chapter Six|38 pages

Multidimensional Parabolic Systems

chapter 7|38 pages

Elliptic Systems

chapter 8|21 pages

Hyperbolic Systems

chapter 9|26 pages

Nonlinear Diffusion

chapter Ten|32 pages

Phase Change Problems

chapter Eleven|52 pages

Numerical Grid Generation

chapter Twelve|18 pages

Hybrid Numerical-Analytic Solutions