A Characteristic Dimensionless Time in Phase Change Problems

[+] Author and Article Information
G. C. J. Bart, C. J. Hoogendoorn, P. B. J. Schaareman

Delft University of Technology, Applied Physics Department, 2600 GA Delft, The Netherlands

J. Sol. Energy Eng 108(4), 310-315 (Nov 01, 1986) (6 pages) doi:10.1115/1.3268111 History: Received November 01, 1985; Online November 11, 2009


In this paper a comparison is made between an approximate analytical solution and the numerical finite difference solution for the one dimensional solidification of a phase change material of finite size. The analytical model is not only capable of handling materials with a fixed melting temperature but is also extended to cope with materials with a transition range. In the approximate analytical model, use is made of the well known Neumann solution for the solidification in a semi-infinite region. A characteristic dimensionless time has been derived that can be used in a simplified description of the solidification of a phase-change material. With this description the testing of latent heat storage devices can be simplified and the results can also be used in simulation programs of solar energy installations with a latent heat storage.

Copyright © 1986 by ASME
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