Finite-Element Method Applied to Heat Conduction in Solids with Nonlinear Boundary Conditions

[+] Author and Article Information
R. E. Beckett, S.-C. Chu

Weapons Laboratory (WECOM), Rock Island, Ill.

J. Heat Transfer 95(1), 126-129 (Feb 01, 1973) (4 pages) doi:10.1115/1.3449983 History: Received September 14, 1972; Online August 11, 2010


By use of an implicit iteration technique, the finite-element method applied to the heat-conduction problems of solids is no longer restricted to the linear heat-flux boundary conditions, but is extended to include nonlinear radiation–convection boundary conditions. The variation of surface temperatures within each time increment is taken into account; hence a rather large time-step size can be assigned to obtain transient heat-conduction solutions without introducing instability in the surface temperature of a body.

Copyright © 1973 by ASME
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