Memory impacts on skin tissue responses exposed to harmonic heat during thermal therapy

Abstract

The present article contributes a new novel mathematical model influenced with the memory effect that endeavours to record the thermal responses inside a living tissue exposed to an oscillatory heat input on its outer surface. Heat transport inside the tissue is modelled with the hyperbolic equation involving three relaxation times. Analytical solutions of the significant field quantities—temperature, displacement and thermal stress are determined in the frequency domain by adopting the Laplace transform mechanism. Computational results are derived by inverting the field quantities from frequency domain to the physical domain. Memory influences are forecasted on the propagation of the thermo-mechanical waves inside the tissue by obtaining the influences of the kernel functions and time-delay quantity on the physical fields. Impact of the relaxation times is pronounced on the variances of the waves’ constituents. Graphical outcomes speculate that inclusion of the phase lags in heat transfer model supresses and stabilizes the speed of the waves. This study may support to the medical practitioners during thermal therapy and to develop the precised clinical equipment.