An Analytical Solution Countercurrent Heat Transfer Between Parallel Vessels With a Linear Axial Temperature Gradient

[+] Author and Article Information
E. H. Wissler

Department of Chemical Engineering, The University of Texas at Austin, Austin, Texas 78712

J Biomech Eng 110(3), 254-256 (Aug 01, 1988) (3 pages) doi:10.1115/1.3108439 History: Received November 11, 1987; Revised April 20, 1988; Online June 12, 2009


Presented in this paper is a solution for countercurrent heat exchange between two parallel vessels embedded in an infinite medium with a linear temperature gradient along the axes of the vessels. The velocity profile within the vessel is assumed to be parabolic. This solution describes the temperature field within the vessels, as well as in the tissue, and establishes that the intravessel temperature is not uniform, as is generally assumed to be the case. An explicit expression for the intervessel thermal resistance based on the difference between cup-mixed mean temperatures is derived.

Copyright © 1988 by ASME
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