Open Access

ARTICLE

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

by Jui-Hsun Ni, Cheng-Chi Chang, Yue-Tzu Yang, Cha’o-Kung Chen¹

1 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.

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