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International Heat Transfer Conference 5

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

A DISCRETE VARIABLE METHOD APPLIED TO TRANSIENT HEAT-CONDUCTION PROBLEMS

Shih-Chi Chu
Research Directorate, GEN Thomas J. Rodman Laboratory Rock Island Arsenal, Rock Island, Illinois USA

William J. Leech
Purdue University, Lafayette, Ind., U.S.A. and Technical University, Munich, West Germany

DOI: 10.1615/IHTC5.1360
pages 184-187

Abstract

A discrete variable method was presented for solving problems of heat conduction in solids. This method maintained the generality of geometry and material properties of solids in a manner similar to the finite-element method. In addition, this method has the same advantage as finite-difference methods in that the formulation of a functional is not required. Hence, the present method can be easily applied also to nonlinear heat conduction problems. General discrete mathematical models were developed that enable one to approximate solutions of transient heat conduction in an arbitrary three-dimensional body subjected to the described initial conditions and convection-radiation boundary conditions.

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