Eur. Phys. J. Plus (2021) 136: 553
https://doi.org/10.1140/epjp/s13360-021-01552-3

Regular Article

Effect of rotation and magnetic field on a numerical-refined heat conduction in a semiconductor medium during photo-excitation processes

¹ Department of Mathematics, College of Science, Taif University, P. O. Box 11099, 21944, Taif, Saudi Arabia
² Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt
³ Arab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria, Egypt
⁴ Mechanical Power Engineering Department, Faculty of Engineering, Port Said University, Port Said, Egypt
⁵ Department of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia
⁶ National Committee for Mathematics, Academy of Scientific Research and Technology, Cairo, Egypt

^b khlotfy_1@yahoo.com

Received: 2 March 2021
Accepted: 8 May 2021
Published online: 17 May 2021

Abstract

A novel model in photo-thermoelasticity theory is investigated in the paper understudy. The model is obtained theoretically for a semiconductor elastic medium, which is in a rotation case. The interaction between main physical quantities during photothermal transport process is expressed in the governing equations. In addition, the numerical-refined multi-phase-lags relaxation times (thermal memories) are studied in the context of the heat equation when the medium is exposed to an external magnetic field. Moreover, the harmonic wave method in two-dimensional (2D) is introduced during the coupling processes between multi-waves. As such, the complete exact solutions of the main physical fields of semi-infinite semiconductor medium are obtained. Some plasma, mechanical and thermal forces are applied at the outer surface of the elastic medium to determine the unknown parameters. Many comparisons are displayed graphically when the physical constants of silicon (Si) material are used. Theoretical results are discussed under the impact of magnetic field and rotation field.