Nonequilibrium dual-phase-lag heat transport through biological tissues

Abstract

To describe nonequilibrium heat transfer in living biological tissues as porous mediums, the recently developed generalized dual-phase-lag (DPL) model of bioheat transfer equation is studied analytically. An arbitrary time-dependent surface heat flux is considered. In order to compare the tissue thermal behavior, when it is considered as porous and nonporous media, the classical DPL model of bioheat transfer equation is studied as well. Analytical expressions for the DPL model are obtained by applying the Laplace transform (LT) method with the aid of the inversion theorem. The reliability of the present results has been evidenced through comparison with the literature. Since the classical DPL model under certain circumstances can be reduced to the traditional Pennes and thermal wave (TW) models, comparisons between the tissue temperatures and damages predicted by the aforementioned models are carried out. The influences of porosity factor (ε), coupling factor between blood and tissue (G), and various thermal relaxation times on the thermal behavior of biological tissues are investigated and discussed. © 2015 by Begell House, Inc.