Thermomagnetic effect with microtemperature in a semiconducting photothermal excitation medium

doi:10.1007/s10483-018-2339-9

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (6): 783-796.doi: https://doi.org/10.1007/s10483-018-2339-9

Thermomagnetic effect with microtemperature in a semiconducting photothermal excitation medium

K. LOTFY¹, R. KUMAR², W. HASSAN³, M. GABR¹

1. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt;
2. Department of Mathematics, Kurukshetra University, Kurukshetra, India;
3. Mathematics and Physics Department, Faculty of Engineering, Port Said University, Port Said, Egypt

收稿日期:2017-07-06 修回日期:2018-01-10 出版日期:2018-06-01 发布日期:2018-06-01
通讯作者: K. LOTFY, E-mail:khlotfy_1@yahoo.com E-mail:khlotfy_1@yahoo.com

Thermomagnetic effect with microtemperature in a semiconducting photothermal excitation medium

K. LOTFY¹, R. KUMAR², W. HASSAN³, M. GABR¹

1. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt;
2. Department of Mathematics, Kurukshetra University, Kurukshetra, India;
3. Mathematics and Physics Department, Faculty of Engineering, Port Said University, Port Said, Egypt

Received:2017-07-06 Revised:2018-01-10 Online:2018-06-01 Published:2018-06-01
Contact: K. LOTFY E-mail:khlotfy_1@yahoo.com

摘要/Abstract

摘要： The main goal of this paper is to focus on the investigation of interaction between a magnetic field and elastic materials with microstructure, whose microelements possess microtemperatures with photothermal excitation. The elastic-photothermal problem in one-dimension is solved by introducing photothermal excitation at the free surface of a semi-infinite semiconducting medium (semiconductor rod). The integral transform technique is used to solve the governing equations of the problem under the effect of the microtemperature field. The analytical expressions for some physical quantities in the physical domain are obtained with the heating boundary surface and free traction. The numerical inversion technique is used to obtain the resulting quantities in the physical domain. The obtained numerical results with some comparisons are discussed and shown graphically.

关键词: photothermal theory, magnetic field, carrier density, microtemperature, Laplace transform, plate, heat conduction, analytical solution

Abstract: The main goal of this paper is to focus on the investigation of interaction between a magnetic field and elastic materials with microstructure, whose microelements possess microtemperatures with photothermal excitation. The elastic-photothermal problem in one-dimension is solved by introducing photothermal excitation at the free surface of a semi-infinite semiconducting medium (semiconductor rod). The integral transform technique is used to solve the governing equations of the problem under the effect of the microtemperature field. The analytical expressions for some physical quantities in the physical domain are obtained with the heating boundary surface and free traction. The numerical inversion technique is used to obtain the resulting quantities in the physical domain. The obtained numerical results with some comparisons are discussed and shown graphically.

Key words: photothermal theory, microtemperature, carrier density, Laplace transform, magnetic field, plate, heat conduction, analytical solution

中图分类号:

74B10

K. LOTFY, R. KUMAR, W. HASSAN, M. GABR. Thermomagnetic effect with microtemperature in a semiconducting photothermal excitation medium[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(6): 783-796.

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Thermomagnetic effect with microtemperature in a semiconducting photothermal excitation medium

Thermomagnetic effect with microtemperature in a semiconducting photothermal excitation medium

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