Freezing-Controlled Penetration of a Saturated Liquid Into a Cold Tube

[+] Author and Article Information
M. Epstein, A. Yim, F. B. Cheung

Argonne National Laboratory, Reactor Analysis and Safety Division, Argonne, Ill.

J. Heat Transfer 99(2), 233-238 (May 01, 1977) (6 pages) doi:10.1115/1.3450674 History: Received October 08, 1976; Online August 11, 2010


The penetration of a saturated liquid (a liquid at its freezing temperature) into a tube that is initially empty and maintained at a temperature below the freezing temperature of the liquid is treated theoretically and experimentally. A convenient approximate method is introduced which involves postulating a reasonable functional form for the instantaneous shape of the frozen layer along the tube wall. Graphical velocity-time and penetration distance-time curves are presented displaying the principal effects of a single dimensionless parameter. In the limit of negligible liquid inertia, shown to be relevant to high Prandtl number materials, a closed-form expression for the liquid penetration length is obtained. The expression compares well with the experimental results.

Copyright © 1977 by ASME
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