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Magnetic field and initial stress on a rotating photothermal semiconductor medium with ramp type heating and internal heat source.
Salah, Doaa M; Abd-Alla, A M; Abo-Dahab, S M; Alharbi, F M; Abdelhafez, M A.
  • Salah DM; Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt. doaaelamry92@gmail.com.
  • Abd-Alla AM; Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt.
  • Abo-Dahab SM; Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt.
  • Alharbi FM; Department of Mathematics, Faculty of Science, Umm Al-Qura University, Makkah, 24227, Saudi Arabia.
  • Abdelhafez MA; Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt.
Sci Rep ; 14(1): 16456, 2024 Jul 16.
Article en En | MEDLINE | ID: mdl-39013987
ABSTRACT
This manuscript addresses a significant research gap in the study by employing a mathematical model of photo thermoelastic wave propagation in a rotator semiconductor medium under the effect of a magnetic field and initial stress, as well as ramp-type heating. The considered model is formulated during the photothermal theory and in two-dimensional (2D) electronic-elastic deformation. The governing equations represent the interaction between the primary physical parameters throughout the process of photothermal transfer. Computational simulations are performed to determine the temperature, carrier density, displacement components, normal stress, and shear stress using the application of Lame's potential and normal mode analysis. Numerical calculations are carried out and graphically displayed for an isotropic semiconductor like silicon (Si) material. Furthermore, comparisons are made with the previous results obtained by the others, as well as in the presence and absence of magnetic field, rotation, and initial stress. The obtained results illustrate that the rotation, initial stress, magnetic field, and ramp-type heating parameter all have significant effects. This investigation provides valuable insights into the synergistic dynamics among a magnetization constituent, semiconducture structures, and wave propagation, enabling advancements in nuclear reactors' construction, operation, electrical circuits, and solar cells.
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