title: An analytical solution countercurrent heat transfer between parallel vessels with a linear axial temperature gradient.
abstract: 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.
authors.affiliation: Department of Chemical Engineering, University of Texas, Austin 78712.
authors.forename: E H
authors.initials: EH
authors.lastname: Wissler
mesh_terms: D001808:Blood Vessels / Q000502:physiology*; D001833:Body Temperature Regulation; D003377:Countercurrent Distribution; D008955:Models, Cardiovascular