A new method for non-Fourier thermal response in a single layer skin tissue

Abstract

a b s t r a c tThe non-Fourier and Fourier thermal responses in one-dimensional single layer skin tissue under selective boundary conditions are investigated by applying the Laplace Transformation method (LTM). The present method accurately describes the deviation of the temperature response of the non-Fourier model from the Fourier model and roles of important physiological parameters. A systematic exact analytical study on the discrepancies between the thermal wave model and the Pennes' bioheat model shows that the present method is an alternate reliable technique to describe the complicated bioheat problems under different boundary conditions. Three cases, namely constant skin temperature, constant and variable heat flux conditions at the skin surface have been taken to determine the tissue temperature whereas an insulated condition at the core has always been satisfied. From the result, it can be highlighted that cosine heat flux at the skin surface amplifies non-Fourier's response of temperature as well.

The exact analytical solution of the dual-phase-lag two-temperature bioheat transfer of a skin tissue subjected to constant heat flux

“…The current results agree with the results of Youssef and Alghamdi 28,37 . Moreover, the current resluts agree with the result in figuer 6 of Kundu and Dewanjee 29 www.nature.com/scientificreports/ Figure 16 show that the current result of the absolute dynamical and conductive temperature are close to the values of the absolute temperature in Kundu and Dewanjee 29 . Thus, we have a guarantee that the results of the current research are correct and verified.…”

“…The current results agree with the results of Youssef and Alghamdi 28 , 37 . Moreover, the current resluts agree with the result in figuer 6 of Kundu and Dewanjee 29 for the case of boundary condition of cas (b). To verify our results with the results in Kundu and Dewanjee 29 , we represented Fig.…”

“…Youssef and Alghamdi 28 have solved a one-dimensional application of thermoelastic dual-phase-lag skin tissue under specific thermal loading. Kundu and Dewanjee 29 introduced a new method for non-Fourier thermal response in a single layer skin tissue.…”

Modeling of One-Dimensional Thermoelastic Dual-Phase-Lag Skin Tissue Subjected to Different Types of Thermal Loading

“…It is observed that even a small increment of heat-induced stress can destroy the immune response; protein cell organelle structures can be changed, resulting in cell death 1 . Most studies emphasis on heat conduction [9][10][11][12][13][14][15][16][17][18][19][20] , while the heating which induced deformation is not considered. Tunc 21 solved the bioheat transfer equation considering variable blood perfusion values and the temperature field in the context of the Pennes's model.…”

Bio-Heat Models Revisited: Concepts, Derivations, Nondimensalization and Fractionalization Approaches

“…we get a hyperbolic version of the Pennes model [22,91] where both the blood perfusion term and the metabolic heat source are not affected by the thermal relaxation.…”