Article

Journal of Thermal Science

, Volume 13, Issue 3, pp 255-258

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

  • Kai YueAffiliated withSchool of Mechanical Engineering, University of Science and Technology Beijing
  • , Xinxin ZhangAffiliated withSchool of Mechanical Engineering, University of Science and Technology Beijing
  • , Fan YuAffiliated withSchool of Mechanical Engineering, University of Science and Technology Beijing

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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