A Mathematical Study of a Semiconducting Thermoelastic Rotating Solid Cylinder with Modified Moore–Gibson–Thompson Heat Transfer under the Hall Effect

Iqbal Kaur, Kulvinder Singh and Eduard-Marius Craciun
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Iqbal Kaur: Department of Mathematics, Government College for Girls Palwal, Kurukshetra 136131, India
Kulvinder Singh: Computer Science & Engineering Department, University Institute of Engineering & Technology, Kurukshetra University, Kurukshetra 136118, India
Eduard-Marius Craciun: Faculty of Mechanical, Industrial and Maritime Engineering, “Ovidius” University of Constanta, 900527 Constanta, Romania

Mathematics, 2022, vol. 10, issue 14, 1-16

Abstract: This research aims to investigate photo-thermoelastic interactions in a rotating infinite semiconducting solid cylinder under a high magnetic field acting along its axis with the Hall current effect. The boundary surface is subjected to a variable heat flux generated by an exponential laser pulse. The governing equations are expressed using a new photo-thermoelastic model generalized in the Moore–Gibson–Thompson photo-thermal (MGTPT) heat transfer model for a semiconducting medium. The Moore–Gibson–Thompson (MGT) equation is obtained by introducing a thermal relaxation parameter into the Green–Naghdi (GN III) model. The Laplace transform is utilized to determine the mathematical expressions for the components of displacement, carrier density, temperature field, and thermal stresses in the transformed domain. The numerical inversion technique is used to obtain the expressions in the physical domain. The impacts of thermal relaxations, different theories of thermoelasticity, the Hall current, and rotation on the displacement, temperature, thermal stresses, and carrier density are represented graphically using MATLAB software.

Keywords: semiconducting media; Hall current; modified Moore–Gibson–Thompson heat transfer (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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