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

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.

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Publication Details

Journal
International Journal For Multidisciplinary Research
Published
2025-07-19
DOI
https://doi.org/10.36948/ijfmr.2025.v07i04.51529
Primary Topic
Thermoelastic and Magnetoelastic Phenomena
Type
article
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article

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

Dinesh Kumar, Neha Sharma, Surjan Singh
International Journal For Multidisciplinary Research
Thermoelastic and Magnetoelastic Phenomena
article

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

Dinesh Kumar, Neha Sharma, Surjan Singh
article en

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.

International Journal For Multidisciplinary ResearchVol. 7(4)
Openalex Percentile: Top 80%
Thermoelastic and Magnetoelastic Phenomena
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