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Tissue responses to fractional transient heating with sinusoidal heat flux condition on skin surface |
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| Authors: | Magdy A Ezzat Alaa A El‐bary Noorah S Al‐sowayan |
| Institution: | 1. Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt;2. Arab Academy of Science and Technology, Alexandria, Egypt;3. Department of Biology, Faculty of Science, Buraydah, Qassim University, Saudi Arabia |
| Abstract: | 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 transform technique 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 are made with the results obtained in the case of the absence of time‐fractional order. © 2016 Japanese Society of Animal Science |
| Keywords: | bioheat transfer fractional calculus fractional Taylor‐Riemann series Laplace transforms sinusoidal heat flux Pennes’ equation |