Numerical analysis of DPL bioheat transfer model with nonlocal impact on skin tissue during hyperthermia

Abstract

This article discussed a numerical study of dual-phase-lag (DPL) bioheat transfer model with nonlocal impact on skin tissue during hyperthermia therapy when Gaussian type heat device is applied to the skin's outer surface. With the aid of a sufficient value of the parameters η,Qro and rp for a heating device of the Gaussian type, the temperature distribution at the targeted location is controlled and maintained. These parameters are employed to destroy a significant number of cancer cells in the targeted location while protecting the surrounding healthy tissue. The temperature profile at the targeted location decreases as lagging time τq and τT increases, and increases as spatial lagging λq increases. The blood perfusion effect can be shown when the value of α increases or when blood temperature decreases then it is seen that the temperature profile decreases. The numerical results obtained by the Finite element Legendre wavelet Galerkin (FELWG) approach are compared with the analytical results obtained in the specific situation to evaluate the precision. The obtained numerical results logically relate to the analytical results when we utilized the operational matrix of order M−1 (where M=100). All impacts of problem parameters are graphically represented during hyperthermia treatment.