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ARTICLE

Numerical Solution of Dual Phase Lag Model of Bioheat Transfer Using the General Boundary Element Method

Ewa Majchrzak¹

1 Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Konarskiego 18a, 44-100 Gliwice, Poland. e-mail: ewa.majchrzak@polsl.pl

Computer Modeling in Engineering & Sciences 2010, 69(1), 43-60. https://doi.org/10.3970/cmes.2010.069.043

Abstract

Heat transfer processes proceeding in domain of heating tissue are discussed. The typical model of bioheat transfer bases, as a rule, on the well known Pennes equation, this means the heat diffusion equation with additional terms corresponding to the perfusion and metabolic heat sources. Here, the other approach basing on the dual-phase-lag equation (DPLE) is considered in which two time delays τ_q, τ_T (phase lags) appear. The DPL equation contains a second order time derivative and higher order mixed derivative in both time and space. This equation is supplemented by the adequate boundary and initial conditions. To solve the problem the general boundary element method is adapted. The examples of computations for 2D problem are presented in the final part of the paper. The efficiency and exactness of the algorithm proposed are also discussed.

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