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RESEARCH PAPERS

The Energy Equation for Freezing of Biological Tissue

[+] Author and Article Information
B. Rubinsky

Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA 94720

J. Heat Transfer 111(4), 988-997 (Nov 01, 1989) (10 pages) doi:10.1115/1.3250815 History: Received August 22, 1980; Online October 20, 2009

Abstract

In the past, the process of freezing in biological tissue was modeled using the regular energy equation for a homogeneous compound. New experimental evidence shows that in tissue the water freezes separately in the vascular system and in the cells. The freezing process is affected by the water transport between the cells and the blood vessels. A new equation was developed to model the experimental results. In this work the general equation for freezing of biological tissue will be presented together with a linearized version of the new equation. A perturbation solution is obtained for the linearized equation to illustrate the effect of the water transport on the freezing process in tissue.

Copyright © 1989 by ASME
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