Modeling heat conduction in an infinite media using the thermoelastic MGT equations and the magneto-Seebeck effect under the influence of a constant stationary source

The increase in electric potential occurs when the temperatures of electrically conductive or semiconductive materials change, known as the Seebeck effect. In this paper, the Moore-Gibson-Thompson heat equation model was constructed for an extended theory of thermomagnetic elasticity to show how this phenomenon affects flexible materials. As a result of the Seebeck effect, the impacts of thermal gradients and charge density, as well as those of Fourier's law and current density, are incorporated into Ohm's law. This model has been used to study what would happen to an unbounded thermoelastic solid material when exposed to a uniform magnetic field and a continuous thermal line. To address the problem, we combined the Laplace and Hankel transformational methods with the potential function technique. The numerical inversions of the investigated physical fields in the space-time domain were obtained using an accurate and well-proven Laplace transform inversion algorithm. Graphs are used to represent the numerical data, and the results have been analyzed. In addition, the effect of thermoelectric sensitivity and the coefficient that relates current density to heat flux density was measured.

Automated summary

The paper investigates the impact of the Seebeck effect on flexible materials by constructing the Moore-Gibson-Thompson heat equation model. By incorporating thermal gradients, charge density, Fourier's law, and current density into Ohm's law, the model examines the behavior of unbounded thermoelastic solid material under a uniform magnetic field and continuous thermal line. The study combines Laplace and Hankel transformational methods with the potential function technique and uses numerical inversion algorithms to analyze the physical fields. Measurements of thermoelectric sensitivity and the coefficient relating current density to heat flux density were also conducted.