Analytical Solutions to the Problem of Transient Heat Transfer in Living Tissue

[+] Author and Article Information
A. Shitzer

Technion, Haifa, Israel

J. C. Chato

Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, Ill.

J Biomech Eng 100(4), 202-210 (Nov 01, 1978) (9 pages) doi:10.1115/1.3426211 History: Received April 10, 1978; Online October 21, 2010


An analytical model of transient heat transfer in living biological tissue is considered. The model includes storage, generation, conduction, and convective transport of heat in the tissue. Solutions for rectangular and cylindrical coordinates are presented and discussed. Transient times for reaching the “locally fully developed” temperature profile were found to be of the order of 5–25 min. These transients are dominated by a geometrical parameter and, to a lesser extent, by a parameter representing the ratio of heat supplied by blood flow to heat conducted in the tissue.

Copyright © 1978 by ASME
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