Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-3pp.1330-1340

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Elsayed M. Abd-Elaziz, Mohamed I. A. Othman, and Amira E. Younis, "Effect of Heat Laser Pulse and Thermal Diffusion on One-Dimensional Biological Tissues," Mech. Solids. 59 (3), 1330-1340 (2024)
Year 2024 Volume 59 Number 3 Pages 1330-1340
DOI 10.1134/S0025654423602641
Title Effect of Heat Laser Pulse and Thermal Diffusion on One-Dimensional Biological Tissues
Author(s) Elsayed M. Abd-Elaziz (Ministry of Higher Education, Higher Institute of Engineering and Technology, Zagazig, Egypt, sayed_nr@yahoo.com)
Mohamed I. A. Othman (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt, m_i_a_othman@yahoo.com)
Amira E. Younis (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt, amiraelsayedyounis@gmail.com)
Abstract In the present study, we consider a problem of skin tissue of the human head subjected to laser pulse and thermal diffusion with relaxation time. The chemical potential is also assumed to be a known function of time on the bounding plane. Due to the Laplace transform and its limit theorem, an analytical procedure is then imposed on this bioheat transfer model with diffusion. The thermal response of skin tissue subjected to laser heating on its boundary is solved by this analytical approach. The exact solutions of each physical field can be obtained and their distributions are illustrated. The effects of thermal lag parameter, the time parameter and laser intensity on skin tissue of the human being studied. The numerical results of the temperature, chemical potential and concentration are obtained and represented graphically. According to the results, the values of the time, the relaxation time and the laser intensity have significant effects on the physical quantities.
Keywords heat transfer, diffusion, skin tissue, laser pulse, Laplace transform
Received 13 December 2023Revised 21 March 2024Accepted 25 March 2024
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