Exact Solution for Freezing in Cylindrical Symmetry with Extended Freezing Temperature Range

[+] Author and Article Information
M. N. Özişik, J. C. Uzzell

Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, N.C. 27650

J. Heat Transfer 101(2), 331-334 (May 01, 1979) (4 pages) doi:10.1115/1.3450969 History: Received February 13, 1978; Online August 11, 2010


The problem of solidification by a line heat sink in an infinite medium with cylindrical symmetry for a substance having an extended freezing temperature range between the solidus and liquidus temperatures is solved exactly for two different cases characterizing the distribution of the solid fraction within the two-phase zone. In one of the models, the solid fraction is assumed to vary linearly with the temperature and in the other solidification within the two-phase zone is assumed to have a linear relationship with the distance. The analysis is applicable for both eutectic and solid solution alloys.

Copyright © 1979 by ASME
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