Analytical Solutions of Pennes Bio-Heat Transfer Equation With a Blood Vessel

[+] Author and Article Information
H. W. Huang, C. L. Chan

Aerospace and Mechanical Engineering Department, The University of Arizona, Tucson, AZ 85721

R. B. Roemer

Mechanical Engineering Department, University of Utah, Salt Lake City, UT 84112

J Biomech Eng 116(2), 208-212 (May 01, 1994) (5 pages) doi:10.1115/1.2895721 History: Received July 22, 1992; Revised May 11, 1993; Online March 17, 2008


The heat transfer within a perfused tissue in the presence of a vessel is considered. The bio-heat transfer equation is used for the perfused tissue and a lumped capacitance analysis is used for the convection in the vessel with a constant Nusselt number. Analytical solutions are obtained for two cases: (i) the arterial temperature of the perfused blood in the bio-heat transfer equation is equal to the axially varying mixed mean temperature of the blood in the vessel and, (ii) that arterial temperature is assumed to be constant. Dimensionless equilibrium length and temperature expressions are obtained and presented.

Copyright © 1994 by The American Society of Mechanical Engineers
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