International Journal of Heat and Mass Transfer, Vol.52, No.7-8, 1734-1740, 2009
Numerical analysis of an equivalent heat transfer coefficient in a porous model for simulating a biological tissue in a hyperthermia therapy
An equivalent heat transfer coefficient between tissue and blood in a porous model is investigated, which is applied to the thermal analysis of a biological tissue in a hyperthermia therapy. This paper applies a finite difference method to solving the tissue temperature distribution using Pennes' bio-heat transfer equation and a two-equation porous model, respectively, and then employs a conjugate gradient method to estimate the equivalent heat transfer coefficient in the two-equation porous model with a known perfusion rate in Pennes' bio-heat transfer equation. The results indicate that the equivalent heat transfer coefficient is not a strong function of the perfusion rate, blood velocity and heating conditions, but is inversely related to the blood vessel diameter. (C) 2008 Elsevier Ltd. All rights reserved.
Keywords:Numerical analysis;Equivalent heat transfer coefficient;Porous model;Conjugate gradient method;Biological tissue;Hyperthermia