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Surface Heating Problems of Thermal Propagation in Living Tissue Solved by Differential Transformation Method

Jui-Hsun Ni, Cheng-Chi Chang, Yue-Tzu Yang, Cha’o-Kung Chen1
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C.,701. Email: ckchen@mail.ncku.edu.tw Tel: +886-62757575#62140

Computer Modeling in Engineering & Sciences 2011, 72(1), 37-52. https://doi.org/10.3970/cmes.2011.072.037

Abstract

The hybrid method, which combines differential transformation and finite difference approximation techniques, is utilized to solve hyperbolic-type heat conduction (bio-heat) problems in one dimension. To capture the thermal behavior in a living tissue subjected to constant or exponential surface heating with the thermal wave model of bio-heat transfer, the relaxation time and the heat wave, which propagates in a direction perpendicular to the skin surface, are considered. The results show that the hybrid method can be used to solve hyperbolic heat conduction problems accurately.

Keywords

differential transformation, bio-heat transfer, relaxation time, thermal wave

Cite This Article

Ni, J., Chang, C., Yang, Y., Chen, C. (2011). Surface Heating Problems of Thermal Propagation in Living Tissue Solved by Differential Transformation Method. CMES-Computer Modeling in Engineering & Sciences, 72(1), 37–52.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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