|
Advances in Materials Research Volume 12, Number 1, March 2023 , pages 31-42 DOI: https://doi.org/10.12989/amr.2023.12.1.031 |
||
|
The effects of thermal relaxation times in living tissues under the TPL bio-heat model with experimental study |
||
Ibrahim A. Abbas, Aboelnour Abdalla, Fathi Anwar and Hussien Sapoor
|
||
| Abstract | ||
| In the present article, the effects of three thermal relaxation times in living tissue under the three-phaselag (TPL) bioheat model are introduced. Using the Laplace transforms, the analytical solution of the temperature and the resulting thermal damages in living tissues are obtained. The experimental data are used to validate the analytical solutions. By the formulations of Arrhenius, the thermal damage of tissue is estimated. Numerical outcomes for the temperature and the resulting of thermal damages are presented graphically. The effects of parameters, such as thermal relaxation times, blood perfusion rate on tissue temperature are also discussed in detail. | ||
| Key Words | ||
| bio-heat transfer; laplace transforms; living tissues; three-phase lag model | ||
| Address | ||
| Ibrahim A. Abbas, Aboelnour Abdalla, Fathi Anwar and Hussien Sapoor: Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt | ||
