A generalized More-Gibson-Thomson heat transfer model for the study of thermomagnetic responses in a solid half-space

Abstract

In this article, thermomagnetic interactions in a two-dimensional (2D), isotropic, homogeneous, and thermoelastic infinite half-space are discussed. It was proposed to use an improved version of the Moore-Gibson-Thompson (MGT) model of thermoelasticity. Since the relaxation time was taken into account in the Green-Naghdi formulation, this model was established. In addition, Maxwell's equations of magnetic and electric fields were taken into account during the formulation of the governing equations. The surface of the solid is considered to be free of traction, under the influence of a varying temperature, and immersed in a constant external magnetic field. In order to solve the non-dimensional coupled magnetic-thermal equations, the normal mode analysis approach and the deletion method were employed. The effects of the magnetic field, thermal factors, and other parameters on the investigated field variables are illustrated graphically and analyzed. There was also a comparison made between the outcomes of the suggested system and those of other thermal frameworks that can be derived as special cases. The results show that the MGT model reduced the magnitudes of the analyzed variables, which may have significant ramifications for various real-world scenarios.

Keywords

• Magneto-thermoelasticity
• Varying heat
• MGT heat equation
• Normal mode analysis