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Analysis of a Transversely Isotropic Annular Circular Cylinder Immersed in a Magnetic Field Using the Moore–Gibson–Thompson Thermoelastic Model and Generalized Ohm’s Law

Author

Listed:
  • Osama Moaaz

    (Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51482, Saudi Arabia)

  • Ahmed E. Abouelregal

    (Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayat 77455, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Fahad Alsharari

    (Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayat 77455, Saudi Arabia)

Abstract

The main objective of this work is to study the homogeneous thermoelastic interactions in an isotropic hollow thin cylinder immersed in an electric–magnetic field using the linear Moore–Gibson–Thompson theory of thermoelasticity, taking into account the generalized Ohm’s law. The MGT system of thermoelastic equations for the new model is created by incorporating a relaxation period in the Green–Naghdi type III framework. In addition, the Maxwell equations that investigate the effect of the electromagnetic field are presented. While the outer surface of the hollow cylinder is thermally insulated and free of traction, the interior surface is both free of traction and subject to thermal shock. To convert the problem to the space domain only, the Laplace transform methodology is used to solve the governing equations generated in the transformed domain. The theoretical results are computed dynamically and are graphically displayed for a transversely isotropic material using the Honig and Hirdes approach. A comparison of findings based on different (classical and generalized) thermoelastic theories is provided, followed by a discussion on the impact of the applied electromagnetic field.

Suggested Citation

  • Osama Moaaz & Ahmed E. Abouelregal & Fahad Alsharari, 2022. "Analysis of a Transversely Isotropic Annular Circular Cylinder Immersed in a Magnetic Field Using the Moore–Gibson–Thompson Thermoelastic Model and Generalized Ohm’s Law," Mathematics, MDPI, vol. 10(20), pages 1-24, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3816-:d:943683
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    References listed on IDEAS

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    1. Singh, Panna Lal & Sarviya, R.M. & Bhagoria, J.L., 2010. "Thermal performance of linear Fresnel reflecting solar concentrator with trapezoidal cavity absorbers," Applied Energy, Elsevier, vol. 87(2), pages 541-550, February.
    2. Ahmed E. Abouelregal & Marin Marin & Fahad Alsharari, 2022. "Thermoelastic Plane Waves in Materials with a Microstructure Based on Micropolar Thermoelasticity with Two Temperature and Higher Order Time Derivatives," Mathematics, MDPI, vol. 10(9), pages 1-21, May.
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