Analysis of Thermal Damage in Biological Tissue during External Step Heating Using Non-Fourier Bio-Heat Transfer Model – A Finite Difference Approach
Abstract
The present work focuses on the thermal damage in living tissue under an external step-heating exposure. A Non-Fourier type of bioheat transfer model, including the effect thermal relaxation time due to thermal inertia and microstructure of biological tissue, has been adopted to investigate the thermal damage. A trainsient blood perfusion rate has been taken at different locations of the body in this analysis. Considering all of the transient PDEs, the implicit Backward in Time and Central in Space (BTCS) framework has been used to create the necessary finite difference equations. Burn integral relation proposed by Henriques, has been undertaken to predict second-degree and third-degree burn time. Finally, a comparison is proposed for three different bioheat transfer models like Penne's, Thermal wave, and Dual-Phase Lag (DPL) models to illustrate the effect of different relaxation times on thermal damage.
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