Analysis of the Heat Transfer in a Multilayer Living Tissue Using the Galerkin Weighted Residuals Method

Document Type : Research Article

Authors

1 Associate Professor of Mechanical Engineering, Mechanical Engineering Department, University of Kashan, Kashan, Iran

2 َAssociate Professor of Mechanical Engineering, Mechanical Engineering Department, University of Kashan, Kashan, Iran

3 Ph.D Candidate of Mechanical Enginerring, Mechanical Engineering Department, University of Kashan, Kashan, Iran

Abstract

In this paper, the thermal behavior of living biological tissue during electromagnetic radiation thermal therapy is investigated. While a large number of studies devoted to the Fourier and non-Fourier heat transfer in living tissue are available for different boundary conditions, less analytical and semi-analytical works exist on the heat transfer in the multilayers tissue. In the present study, semi- analytical Galerkin weighted residuals method is used to solve the dual-phase lag non-Fourier heat transfer equation in the multilayer tissue with a tumor placed in. The results show that considering a multilayer tissue with distinct thermophysical properties for each layer has a remarkable effect on the temperature distribution in the tissue, so that 2°C difference in tumor temperature after 1800 s is observed. The effect of the Vernot number on the temperature distribution shows that increasing the flux relaxation time results in reducing the temperature signal velocity and the tumor temperature. Lowering the skin surface temperature, decreases the high values of temperature and forces the maximum temperature region deeper into the tissue. Moreover, the reduction in the blood perfusion rate that occurs in the hypoxic tumors results in the increase of the tumors temperatures during the thermal therapy.

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References

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Amirkabir Journal of Mechanical Engineering
Volume 52, Issue 9
December 2020
Pages 2609-2626

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