The effect of moving heat source in DPL model on viscoelastic biological tissues during during thermal treatment applications

TL;DR

This paper uses mathematical modeling to analyze how a moving heat source affects heat transfer, stress, and displacement in elastic biological tissues during thermal treatments, emphasizing the role of relaxation times.

Contribution

It introduces a mathematical framework incorporating relaxation times and time delays to better understand heat transfer and thermo-mechanical interactions in biological tissues during thermal procedures.

Findings

Heat transfer distributions are significantly affected by relaxation times.

Displacement and thermal stress depend on the moving heat source parameters.

Mathematical techniques like Laplace transforms enable precise evaluation of tissue responses.

Abstract

This study utilizes mathematical modeling to offer computational insights into biological heat transfer within elastic skin tissues. This heat transfer is driven by a moving heat source that relies on various relaxation times. Time delay parameters were incorporated based on these relaxation times, highlighting the importance of understanding heat transfer mechanisms and thermo-mechanical interactions to ensure the effectiveness of thermal treatment procedures. Given the significant impact of different variables on thermal relaxation times, their effects were analyzed on the distributions of displacement, thermal stress, and temperature in living tissues. By applying advanced mathematical techniques such as Laplace transforms, precise evaluations of these distributions were achieved. The results are presented graphically, with a focus on enhancing treatment outcomes by deepening our understanding of the behavior of living tissues in thermal environments.