A numerical solution of 2-D single-phase-lag (SPL) bio-heat model using alternating direction implicit (ADI) finite difference method

Document Type : Regular Articles

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Department of mathematics, Faculty of Science, Sohag University, Sohag, Egypt.

Abstract

Abstract

Here, the two-dimensional single-phase-lag (SPL) bioheat transfer model in biological tissue by considering the heat conduction law is introduced. The formulated SPL bioheat model is an extension of the bioheat transfer models proposed by Pennes, Cattaneo-Vernotte, and Tzou. Through this model, the thermal properties of living tissues, as well as the temperature distribution in living tissues, and the estimated resulting thermal damage due to laser irradiation are studied. The effects of delay time, blood perfusion, metabolism, and laser parameters on the spread of heat in the body and the resulting thermal damage are studied. Also, comparisons have been made between the results from the SPL and Pennes bio-heat models as well as the resulting thermal damage. The results of the SPL bio-heat model have been compared with previous results. The used numerical method is the (ADI) finite difference method. The proposed ADI difference scheme is unconditionally stable. The results have been presented graphically and discussed in detail.

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Sohag Journal of Sciences
Volume 7, Issue 3
September 2022
Pages 131-141

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