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RESEARCH PAPERS

Approximate Solutions of Canonical Heat Conduction Equations

[+] Author and Article Information
B. D. Vujanović

Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, Yugoslavia

S. E. Jones

Department of Engineering Mechanics, The University of Alabama, Tuscaloosa, AL 35487-0278

J. Heat Transfer 112(4), 836-842 (Nov 01, 1990) (7 pages) doi:10.1115/1.2910489 History: Received June 12, 1989; Revised January 04, 1990; Online May 23, 2008

Abstract

We consider three analytical methods for finding the approximate solutions of one-dimensional, transient, and nonlinear heat conduction problems based upon the canonical equations of heat transfer. The first method can be considered as a generalization or refinement of the integral method. The second is an iterative method similar to that of Targ utilized in boundary layer theory. The third method is a variational procedure introduced in the spirit of Gauss’ variational principle of least constraint.

Copyright © 1990 by The American Society of Mechanical Engineers
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