Numerical simulation of three‐phase‐lag bio‐heat transfer model for generalized coordinate system amidst thermal ablation

Abstract

AbstractVarious heat transmits models exhibit a thermal response in the tissue during thermal therapies. In the present work, we proposed a three‐phase‐lag (TPL) bio‐heat‐transmitting model including an external laser heating term amidst thermal treatment for the generalized coordinate system. The TPL model is based on the law of heat conduction containing heat flux, temperature gradient, and thermal displacement gradient terms. The solution is determined by implementing a discretization scheme of finite difference in the company of the Runge–Kutta (4,5) technique to examine the temperature repercussion throughout the thermal treatment of the tumor. In addition to this, the impact of various parameters such as phase lag in heat flux, temperature gradient, thermal displacement gradient, the heat generated because of blood perfusion, metabolism, and external heat source term is studied. A comparison has been shown graphically during the thermal treatment. The temperature profile is studied for different coordinate systems, and results are discussed. Moreover, validation has been made of the TPL model used in this paper with the experimental results. Thus the outcomes achieved from this study are purposeful in the therapeutical field, especially for oncologists.