Fahmy Mohamed Abdelsabour, Almehmadi Mohammed M, Al Subhi Fahad M, Sohail Ayesha
Department of Mathematics, Jamoum University College, Umm Al-Qura University, Alshohdaa, Jamoum, Makkah, 25371, Saudi Arabia.
Faculty of Computers and Informatics, Suez Canal University, New Campus, Ismailia, 41522, Egypt.
Sci Rep. 2022 Apr 26;12(1):6760. doi: 10.1038/s41598-022-10639-5.
The primary goal of this article is to propose a new fractional boundary element technique for solving nonlinear three-temperature (3 T) thermoelectric problems. Analytical solution of the current problem is extremely difficult to obtain. To overcome this difficulty, a new numerical technique must be developed to solve such problem. As a result, we propose a novel fractional boundary element method (BEM) to solve the governing equations of our considered problem. Because of the advantages of the BEM solution, such as the ability to treat problems with complicated geometries that were difficult to solve using previous numerical methods, and the fact that the internal domain does not need to be discretized. As a result, the BEM can be used in a wide variety of thermoelectric applications. The numerical results show the effects of the magnetic field and the graded parameter on thermal stresses. The numerical results also validate the validity and accuracy of the proposed technique.
本文的主要目标是提出一种新的分数阶边界元技术，用于求解非线性三温（3T）热电问题。当前问题的解析解极难获得。为克服这一困难，必须开发一种新的数值技术来解决此类问题。因此，我们提出一种新颖的分数阶边界元法（BEM）来求解我们所考虑问题的控制方程。由于BEM解法具有诸多优点，比如能够处理使用先前数值方法难以求解的复杂几何问题，以及无需对内部区域进行离散化这一事实。所以，BEM可用于各种各样的热电应用中。数值结果展示了磁场和梯度参数对热应力的影响。数值结果也验证了所提技术的有效性和准确性。
