Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (1): 39-52.doi: https://doi.org/10.1007/s10483-021-2682-6

• 论文 • 上一篇    下一篇

Magnetophotothermal interaction in a rotating solid cylinder of semiconductor silicone material with time dependent heat flow

A. E. ABOUELREGAL1,2   

  1. 1. Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat 77423, Saudi Arabia;
    2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
  • 收稿日期:2020-06-20 修回日期:2020-08-29 发布日期:2020-12-19
  • 通讯作者: A. E. ABOUELREGAL E-mail:ahabogal@gmail.com

Magnetophotothermal interaction in a rotating solid cylinder of semiconductor silicone material with time dependent heat flow

A. E. ABOUELREGAL1,2   

  1. 1. Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat 77423, Saudi Arabia;
    2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
  • Received:2020-06-20 Revised:2020-08-29 Published:2020-12-19
  • Contact: A. E. ABOUELREGAL E-mail:ahabogal@gmail.com

摘要: A mathematical model linking thermoelasticity to photothermal experiments is proposed with the consideration of the photothermal effect. The system equations for coupled plasma, heat conduction with phase-lags (PLs), and motion equations are introduced and solved by using the Laplace transform technique. The photothermal, thermal, and elastic waves in a rotating solid cylinder of semiconductor material are analyzed with the proposed model. The cylinder surface is constrained and subjected to a time-dependent pulse heat flux. The sensitivity of the physical fields for the angular velocity, PLs, and thermal vibration parameters is investigated. In addition, the effects of the effective parameters on the physical quantities are graphically illustrated and discussed in detail.

关键词: photothermal, phase-lag (PL), solid cylinder, rotation, semiconductor, carrier concentration

Abstract: A mathematical model linking thermoelasticity to photothermal experiments is proposed with the consideration of the photothermal effect. The system equations for coupled plasma, heat conduction with phase-lags (PLs), and motion equations are introduced and solved by using the Laplace transform technique. The photothermal, thermal, and elastic waves in a rotating solid cylinder of semiconductor material are analyzed with the proposed model. The cylinder surface is constrained and subjected to a time-dependent pulse heat flux. The sensitivity of the physical fields for the angular velocity, PLs, and thermal vibration parameters is investigated. In addition, the effects of the effective parameters on the physical quantities are graphically illustrated and discussed in detail.

Key words: photothermal, phase-lag (PL), solid cylinder, rotation, semiconductor, carrier concentration

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals