Thermomagnetic effect with microtemperature in a semiconducting photothermal excitation medium

doi:10.1007/s10483-018-2339-9

Abstract

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

2010 MSC Number:

74B10

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

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