Journal of Thermal Science

, Volume 13, Issue 3, pp 255–258 | Cite as

An analytic solution of one-dimensional steady-state Pennes’ bioheat transfer equation in cylindrical coordinates

  • Kai Yue
  • Xinxin Zhang
  • Fan Yu
Article

Abstract

Based on the Pennes’ bioheat transfer equation, a simplified one-dimensional bioheat transfer model of the cylindrical living tissues in the steady state has been set up for application in limb and whole body heat transfer studies, and by using the Bessel’s equation, its corresponding analytic solution has been derived in this paper. With the obtained analytic solution, the effects of the thermal conductivity, the blood perfusion, the metabolic heat generation, and the coefficient of heat transfer on the temperature distribution in living tissues are analyzed. The results show that the derived analytic solution is useful to easily and accurately study the thermal behavior of the biological system, and can be extended to such applications as parameter measurement, temperature field reconstruction and clinical treatment.

Key words

bioheat transfer Pennes’ equation analytic solution Bessel functions 

CLC number

TK124 

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Copyright information

© Science Press 2004

Authors and Affiliations

  • Kai Yue
    • 1
  • Xinxin Zhang
    • 1
  • Fan Yu
    • 1
  1. 1.School of Mechanical EngineeringUniversity of Science and Technology BeijingBeijingChina

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