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

Authors

  • Kai Yue
    • School of Mechanical EngineeringUniversity of Science and Technology Beijing
  • Xinxin Zhang
    • School of Mechanical EngineeringUniversity of Science and Technology Beijing
  • Fan Yu
    • School of Mechanical EngineeringUniversity of Science and Technology Beijing
Article

DOI: 10.1007/s11630-004-0039-y

Cite this article as:
Yue, K., Zhang, X. & Yu, F. J. of Therm. Sci. (2004) 13: 255. doi:10.1007/s11630-004-0039-y

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 transferPennes’ equationanalytic solutionBessel functions

CLC number

TK124

Copyright information

© Science Press 2004