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RESEARCH PAPERS

Numerical Anisotropic Heat Conduction Solutions Using Boundary-Fitted Coordinate Systems

[+] Author and Article Information
J. C. McWhorter

Aerospace Engineering, Mississippi State University, Mississippi State, Miss.

M. H. Sadd

Mechanical Engineering, Mississippi State University, Mississippi State, Miss.

J. Heat Transfer 102(2), 308-311 (May 01, 1980) (4 pages) doi:10.1115/1.3244279 History: Received October 12, 1979; Online October 20, 2009

Abstract

A numerical method is presented and applied to the solution of two-dimensional steady-state, anisotropic heat conduction problems. The solution method employs the boundary-fitted coordinate system technique which transforms the region under study onto a fixed rectangular domain where computations are done easily. Consequently, the procedure eliminates the shape of the boundary as a complicating factor. The method is quite general and can handle any multiply-connected, arbitrary-shaped region. Two examples, a solid disk and an eccentric annulus, are worked out to demonstrate the utility of the method. Isotherm results check with previously published solutions.

Copyright © 1980 by ASME
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