Abstract
The numerical model of thermal processes in domain of biological tissue subjected to an external heat source is discussed. The model presented is based on the second order dual–phase–lag equation (DPLE) in which the relaxation time and thermalization time thermalization time (τq and τT) are tak n into account. In this paper the homogeneous, cylindrical skin tissue domain is considered. The most important aim of the research is to compare the results obtained using the classical model (the first-orderDPLE) with the numerical solution resulting from the higher order form of this equation. At the stage of numerical computations the Finite Difference Method (FDM) is applied. In the final part of the paper the examples of computations are shown.
Highlights
The problem of thermal processes occurring in the domain of skin tissue subjected to an external heat source is discussed
The left and right hand sides of generalized Fourier law are developed into the Taylor series with accuracy to the first derivative and after using this development in the energy equation, the first-order dual-phase-lag equation (DPLE) equation can be obtained
The external tissue heating is determined by the Neumann boundary condition, the other boundary and initial conditions will be presented in the chapter
Summary
The problem of thermal processes occurring in the domain of skin tissue subjected to an external heat source is discussed. In this paper the heat transfer in the tissue is described by the single, second-order DPLE (a homogeneous domain). The left and right hand sides of generalized Fourier law are developed into the Taylor series with accuracy to the first derivative and after using this development, the first-order DPLE equation can be obtained. In this paper the second-order equation is considered, in particular the Taylor series with the accuracy to the second derivative is taken into account Taking into account the form of assumed external heat flux, the axiallysymmetrical problem is considered. The original computer program that implements the numerical calculations has been prepared in such a way that it can
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