Insights from the Weinbaum-Jiji framework: Examining time-fractional dual-phase lag models in heat conduction in skin tissues

This study investigates the application of a novel fractional dual-phase lag model, derived from the WeinbaumJiji bioheat equation, in heat transfer modeling within skin tissue. To account for the finite propagation speed of the thermal wave and to incorporate the nonlocality and memory-dependent behavior of the biological tissue, we integrate the dual-phase lag model with a fractional framework with the classical Weinbaum Jiji equation to benefit from its capability to encounter the vascular parameters in thermal computations. Employing numerical simulations and experimental validation, we assess the model's performance. Our analysis delves into the impacts of thermal delays, fractional orders, and the inflow Pe<acute accent>clet number on skin tissue's thermal dynamics. The outcomes not only enhance our understanding of bioheat phenomena but also underscore the model's potential for precisely capturing vascular influences, thus advancing its applicability for medical assessments within the field of thermal biology.