Freezing Flow in a Subcooled Permeable Medium

[+] Author and Article Information
S. K. Griffiths

Sandia National Laboratories, Livermore, CA 94551-0969

R. H. Nilson

S-CUBED, A Division of Maxwell Laboratories, La Jolla, CA 92038-1620

J. Heat Transfer 114(4), 1036-1041 (Nov 01, 1992) (6 pages) doi:10.1115/1.2911874 History: Received March 01, 1991; Revised June 01, 1992; Online May 23, 2008


Analytical similarity solutions are derived for the problem of transient one-dimensional flow and freezing of a liquid in an initially dry permeable half-space. The structure of the flow consists of three regions: a liquid zone in which the temperature decreases to the freezing temperature, a central two-phase zone where the temperature is at the freezing point, and a leading gas-filled region in which the temperature is nearly undisturbed. The propagation velocity of this intrusion is determined as a function of the subcooling, latent heat, and other process parameters. As the inlet temperature approaches the freezing temperature, the governing equations admit a pair of solutions having propagation velocities that sometimes differ by more than an order of magnitude.

Copyright © 1992 by The American Society of Mechanical Engineers
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