Journal
ANIMAL SCIENCE JOURNAL
Volume 87, Issue 10, Pages 1304-1311Publisher
WILEY
DOI: 10.1111/asj.12568
Keywords
bioheat transfer; fractional calculus; fractional Taylor-Riemann series; Laplace transforms; sinusoidal heat flux; Pennes' equation
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A fractional model of Bioheat equation for describing quantitatively the thermal responses of skin tissue under sinusoidal heat flux conditions on skin surface is given. Laplace transformtechnique is used to obtain the solution in a closed form. The resulting formulation is applied to one-dimensional application to investigate the temperature distribution in skin with instantaneous surface heating for different cases. According to the numerical results and its graphs, conclusion about the fractional bioheat transfer equation has been constructed. Sensitivity analysis is performed to explore the thermal effects of various control parameters on tissue temperature. The comparisons aremadewith the results obtained in the case of the absence of time-fractional order.
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