The Matching of Thermal Fields Surrounding Countercurrent Microvessels and the Closure Approximation in the Weinbaum-Jiji Equation

[+] Author and Article Information
S. Weinbaum, L. M. Jiji

Department of Mechanical Engineering, The City College of the City University of New York, New York, New York, 10031

J Biomech Eng 111(4), 271-275 (Nov 01, 1989) (5 pages) doi:10.1115/1.3168378 History: Received June 16, 1988; Revised May 31, 1989; Online June 12, 2009


A second order perturbation theory is developed to show the difference between the average artery-vein temperature Tm and the local average tissue temperature θ. This theory demonstrates that the closure approximation in the Weinbaum-Jiji bioheat equation does not require that θ = Tm and that although the difference between these two temperatures is second order the magnitude of the countercurrent convection terms in the Weibaum-Jiji equation can be of order unity. The theory also shows that to second order this new bioheat equation is the same as the simplified set of one-dimensional model equations used in Baish et al. [5] .

Copyright © 1989 by ASME
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