Heat Diffusion in Heterogeneous Bodies Using Heat-Flux-Conserving Basis Functions

[+] Author and Article Information
A. Haji-Sheikh

Mechanical Engineering Department, University of Texas at Arlington, Arlington, TX 76019

J. Heat Transfer 110(2), 276-282 (May 01, 1988) (7 pages) doi:10.1115/1.3250480 History: Received April 03, 1987; Online October 20, 2009


The generalized analytical derivation presented here enables one to obtain solutions to the diffusion equation in complex heterogeneous geometries. A new method of constructing basis functions is introduced that preserves the continuity of temperature and heat flux throughout the domain, specifically at the boundary of each inclusion. A set of basis functions produced in this manner can be used in conjunction with the Green’s function derived through the Galerkin procedure to produce a useful solution method. A simple geometry is selected for comparison with the finite difference method. Numerical results obtained by this method are in excellent agreement with finite-difference data.

Copyright © 1988 by ASME
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