Analytical Solutions of Pennes Bio-Heat Transfer Equation With a Blood Vessel-Reference-Cited by-同舟云学术

Analytical Solutions of Pennes Bio-Heat Transfer Equation With a Blood Vessel

Published:1994-05-01 Issue:2 Volume:116 Page:208-212
ISSN:0148-0731
Container-title:Journal of Biomechanical Engineering
language:en
Short-container-title:

Author:

Huang H. W.¹,Chan C. L.¹,Roemer R. B.²

Affiliation:

1. Aerospace and Mechanical Engineering Department, The University of Arizona, Tucson, AZ 85721

2. Mechanical Engineering Department, University of Utah, Salt Lake City, UT 84112

Abstract

The heat transfer within a perfused tissue in the presence of a vessel is considered. The bio-heat transfer equation is used for the perfused tissue and a lumped capacitance analysis is used for the convection in the vessel with a constant Nusselt number. Analytical solutions are obtained for two cases: (i) the arterial temperature of the perfused blood in the bio-heat transfer equation is equal to the axially varying mixed mean temperature of the blood in the vessel and, (ii) that arterial temperature is assumed to be constant. Dimensionless equilibrium length and temperature expressions are obtained and presented.

Publisher

ASME International

Subject

Physiology (medical),Biomedical Engineering

Link

http://asmedigitalcollection.asme.org/biomechanical/article-pdf/116/2/208/5578728/208_1.pdf

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