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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-1pp.261-277

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Prajjwal Parmar, Saroj Mandal, and Smita Pal Sarkar, "Effect of Moving Heat Source within the Framework of Two-Temperature Higher Order Lagging Phenomena in Human Skin Tissue," Mech. Solids. 60 (1), 261-277 (2025)
Year 2025 Volume 60 Number 1 Pages 261-277
DOI 10.1134/S0025654424606177
Title Effect of Moving Heat Source within the Framework of Two-Temperature Higher Order Lagging Phenomena in Human Skin Tissue
Author(s) Prajjwal Parmar (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, 711103 India, prajjwalparmar77@gmail.com)
Saroj Mandal (Department of Mathematics, Sitananda College, Nandigram, West Bengal, 721631 India, srj86mail@gmail.com)
Smita Pal Sarkar (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, 711103 India, smitasarkar.math@faculty.iiests.ac.in)
Abstract The investigation and comprehension of heat transport, encompassing variations in thermophysical variables such as thermodynamic and conductive temperatures, strain, displacement, and stress within biological tissues and organs, hold crucial importance in medical thermal therapeutic applications, such as the treatment by hyperthermia and thermal ablation. This study analyzes the effect of moving heat source with constant velocity on a finite-length skin tissue using the Pennes heat conduction equation within the framework of the two-temperature theory. The Modified-Green-Lindsay model, incorporating thermal relaxation and strain-temperature rate effects, is employed alongside comparisons with the Green-Lindsay and Lord-Shulman models. Constitutive relations and governing equations are formulated, with solutions obtained in the Laplace transformed domain and estimated numerically via the Honig Hirdes algorithm. The results, presented graphically, demonstrate the significant influence of the two-temperature parameter and heat source velocity on the field variables, offering valuable insights into thermoelastic behavior in medical applications.
Keywords bio-heat transfer, Modified-Green-Lindsay model, two-temperature parameter, skin tissue
Received 05 November 2024Revised 05 January 2025Accepted 06 January 2025
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