Numerical solution of the problem of nonstationary heat transfer in biological tissues with pulsed heat flow on the surface title article
The article presents a mathematical model of the heat transfer process in skin tissues with pulsed heat flow on the surface. A numerical solution of the nonstationary heat conduction problem is obtained on the basis of the hyperbolic heat equation, which takes into account the finite rate of heat propagation and the effect of thermal damping. The implementation of the grid method using a three-layer implicit difference scheme for solving the problem of nonstationary heat transfer in biological tissues on the basis of the equation with dual phase lag is described. The results of calculations of temperature fields in skin tissues according to the hyperbolic thermal conductivity equation taking into account the effect of thermal relaxation and temperature damping are presented. The developed mathematical model with dual phase lag can be used in experimental and theoretical research of heat transfer processes in skin tissues.