Heat Transport by Countercurrent Blood Vessels in the Presence of an Arbitrary Temperature Gradient

[+] Author and Article Information
J. W. Baish

Department of Mechanical Engineering, Bucknell University, Lewisburg, PA 17837

J Biomech Eng 112(2), 207-211 (May 01, 1990) (5 pages) doi:10.1115/1.2891173 History: Received February 01, 1989; Revised February 01, 1990; Online March 17, 2008


This paper presents a three-dimensional analysis of the temperature field around a pair of countercurrent arteries and veins embedded in an infinite tissue that has an arbitrary temperature gradient along the axes of the vessels. Asymptotic methods are used to show that such vessels are thermally similar to a highly conductive fiber in the same tissue. Expressions are developed for the effective radius and thermal conductivity of the fiber so that it conducts heat at the same rate that the artery and vein together convect heat and so that its local temperature equals the mean temperature of the vessels. This result allows vascular tissue to be viewed as a composite of conductive materials with highly conductive fibers replacing the convective effects of the vasculature. By characterizing the size and thermal conductivity of these fibers, well-established methods from the study of composites may be applied to determine when an effective conductive model is appropriate for the tissue and vasculature as a whole.

Copyright © 1990 by The American Society of Mechanical Engineers
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