Numerical Study of Non-Linear Three-Phase-Lag Model for Heat Transfer in Tissue During Thermal Therapy

Author(s)	Dr. Neha Sharma, Dr. Surjan Singh, Dr. Dinesh Kumar
Country	India
Abstract	In this article, the simulation based mathematical modelling on bioheat transfer in living tissue is studied by using non-linear three-phase-lag bioheat transfer model (TPLBHT). The TPLBHT model includes phase lag time due to heat flux, temperature gradient and temperature displacement with energy balance equation. A hybrid numerical method is used for solution which is based on Finite-Difference method with central difference method and Runge-Kutta (4, 5) method to find the solution. The effect of dimensionless temperature with dimensionless time for different parameters like blood perfusion coefficient, metabolic heat source coefficient, phase-lag time parameters and parameters of TPL model are discussed. The full article is studied and presented in the dimensionless form.
Keywords	Bioheat, Blood, Metabolism, Method, Perfusion, Finite, Phase, Tissue.
Field	Mathematics
Published In	Volume 7, Issue 4, July-August 2025
Published On	2025-07-19
DOI	https://doi.org/10.36948/ijfmr.2025.v07i04.51529

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