Theory and Experiment for the Effect of Vascular Microstructure on Surface Tissue Heat Transfer—Part II: Model Formulation and Solution

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

Department of Mechanical Engineering, The City College of The City University of New York, New York, N.Y. 10031

D. E. Lemons

Departments of Rehabilitation Medicine and Pharmacology, College of Physicians and Surgeons, Columbia University, New York, N.Y. 10029

J Biomech Eng 106(4), 331-341 (Nov 01, 1984) (11 pages) doi:10.1115/1.3138502 History: Received September 12, 1983; Revised April 23, 1984; Online June 15, 2009


In this paper the conceptual three-layer representation of surface tissue heat transfer proposed in Weinbaum, Jiji and Lemons [I], is developed into a detailed quantitative model. This model takes into consideration the variation of the number density, size and flow velocity of the countercurrent arterio-venous vessels as a function of depth from the skin surface, the directionality of blood perfusion in the transverse vessel layer and the superficial shunting of blood to the cutaneous layer. A closed form analytic solution for the boundary value problem coupling the three layers is obtained. This solution is in terms of numerically evaluated integrals describing the detailed vascular geometry, a capillary bleed-off distribution function and parameters describing the shunting of blood to the cutaneous layer. Representative heat transfer results for typical physiological conditions are presented.

Copyright © 1984 by ASME
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