Transfer Functions for Efficient Calculation of Multidimensional Transient Heat Transfer

[+] Author and Article Information
J. E. Seem, S. A. Klein, W. A. Beckman, J. W. Mitchell

Solar Energy Laboratory, University of Wisconsin—Madison, Madison, WI 53706

J. Heat Transfer 111(1), 5-12 (Feb 01, 1989) (8 pages) doi:10.1115/1.3250659 History: Received November 20, 1987; Online October 20, 2009


Finite difference or finite element methods reduce transient multidimensional heat transfer problems into a set of first-order differential equations when thermal physical properties are time invariant and the heat transfer processes are linear. This paper presents a method for determining the exact solution to a set of first-order differential equations when the inputs are modeled by a continuous, piecewise linear curve. For long-time solutions, the method presented is more efficient than Euler, Crank–Nicolson, or other classical techniques.

Copyright © 1989 by ASME
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