A Method for the Solution of Heat Transfer Problems With a Change of Phase

[+] Author and Article Information
D. Frederick, R. Greif

University of California, Department of Mechanical Engineering, Berkeley, CA 94720

J. Heat Transfer 107(3), 520-526 (Aug 01, 1985) (7 pages) doi:10.1115/1.3247455 History: Received October 21, 1983; Online October 20, 2009


A method of broad applicability is presented which can be used to obtain solutions to problems involving a phase change. The solution in one of the phases is specified as a known single-phase solution; an inverse analysis then determines the solution for the other phase. Two problems are studied: The first yields the similarity solution for the planar geometry and the second gives the exact solution to a more general problem. Convergence is shown and error bounds are given. The method can accommodate convection, heat generation, variable properties, nonplanar, and multidimensional systems.

Copyright © 1985 by ASME
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