A Numerical Analysis Of Heating Tissue
Using The Two-temperature Model
Author(s)
E. Majchrzak & Ł. Turchan
Abstract
The process of heating tissue is considered here. The tissue is treated as a porous
medium and is divided into two regions: vascular region (blood vessel) and
extravascular region (tissue). The heat conduction in the domain considered is
described by the two-temperature model consisting of the system of two coupled
equations determining the blood and tissue temperatures. The acceptation of the
certain assumptions leads to the model created by the single partial differential
equation and the formula concerning the dependence between blood and tissue
temperatures. In this equation the coupling factor and phase lag times appear. It
should be pointed out that the phase lag times are expressed in terms of the
properties of blood and tissue, interphase convective heat transfer coefficient and
blood perfusion rate. The equation considered is supplemented by the
appropriate boundary and initial conditions. The task has been solved using the
finite difference method. In the final part of the paper the results of computations
(3D problem) are presented.
Keywords: bioheat transfer, two-temperature model, generalized dual-phase lag
equation, finite difference method.
Keywords
bioheat transfer, two-temperature model, generalized dual-phase lag
equation, finite difference method.
Related Book
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