Perturbation Solutions to Phase Change Problem Subject to Convection and Radiation

[+] Author and Article Information
M. M. Yan, P. N. S. Huang

Department of Aeronautical Engineering, Chung Cheng Institute of Technology, P.O. Box 8243-11, Ta-Hsi, Tao-Yuan, Taiwan, Republic of China

J. Heat Transfer 101(1), 96-100 (Feb 01, 1979) (5 pages) doi:10.1115/1.3450943 History: Received February 09, 1978; Online August 11, 2010


Perturbation solutions are obtained for one-dimensional phase change problem in a finite region subject to convective and radiative boundary condition at the fixed boundary. The radiative term is first approximated by Taylor’s series expansion, then the perturbation technique is used. Analytical expressions for total solidification time and the rate of solidification as well as the temperature distributions are obtained. Close agreement is observed between the present analysis and that of an early work.

Copyright © 1979 by ASME
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