期刊
WAVES IN RANDOM AND COMPLEX MEDIA
卷 -, 期 -, 页码 -出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/17455030.2022.2075046
关键词
Bioheat transfer; skin tissue; thermal diffusion; chemical potential; thermal shock; porous
资金
- Princess Nourah Bint Abdulrahman University [PNURSP2022R154]
- Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia
This study presents a novel mathematical model of porous skin tissue based on fractional thermal diffusion and two-temperature heat conduction. The effects of two-temperature parameter, fractional order parameter, and porosity parameter on temperature increment and concentration are investigated and analyzed.
This work is dealing with a model of a layer of porous skin tissue exposed to fractional thermal diffusion based on one relaxation time consideration. The surface plane of the skin tissue is influenced by variable thermal and chemical potential shocks with time. Laplace transform has been used, and the general solution was carried out analytically in the Laplace transform domain by applying the diagonalization method. The inverse of the Laplace transforms has been calculated by using a numerical method based on the Tzou formula. The dynamical and conductive temperature increments and the concentration have been computed and represented graphically with different cases. The two-temperature parameter, fractional order parameter, and porosity parameter have significant effects on the dynamical and conductive temperature increment and concentration of the diffusive material. Applying hyperbolic two-temperature of heat conduction on porous skin tissue based on fractio of heat conduction and thermal diffusion is a novel mathematical model. Moreover, this work introduces the diagonalization method as a different new method for this type of mathematical model.
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