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Effect of Thomson and thermal loading due to laser pulse in a magneto‐thermo‐elastic porous medium with energy dissipation
Author(s) -
AbdElaziz Elsayed M.,
Othman Mohamed I. A.
Publication year - 2019
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201900079
Subject(s) - dissipation , materials science , pulse (music) , laser , magneto , porosity , thermal , porous medium , energy (signal processing) , thermal management of electronic devices and systems , mechanics , optics , physics , composite material , thermodynamics , mechanical engineering , power (physics) , quantum mechanics , detector , engineering
The present work attempts to investigate the influence of the Thomson heating and the Fourier's heat conduction, in the presence of a magnetic field, on half‐space thermo‐electricity solid with voids. The material is heated by a non‐Gaussian laser beam with pulse duration of 0.23 ps. The heat conduction equation is affected by the Thomson coefficient. A constant Thomson coefficient, instead of traditionally a constant Seebeck coefficient, was assumed. The charge density of the induced electric current is taken as a function of time. The basic governing equations are modified by using Green–Naghdi theory of type‐III. A normal mode method is proposed to analyze the problem and obtain numerical solutions. The results of the physical quantities have been illustrated graphically by a comparison between two values of time, with and without void parameters, as well as with and without Thomson coefficient.