The effect of Seebeck–Peltier on the generalized magneto thermoviscoelastic medium under five theories

Abstract

This study aims to research the influence of the magnetic field on the 2-D generalized thermo-viscoelastic material in five theories. The amended Ohm Law, which includes temperature gradient (effect of Seebeck) and charging density effects and the existing Fourier Law (effect of Peltier), is adopted. In the physical domain, the analytical expressions for the physical quantities are obtained using the normal mode analysis. These expressions are measured numerically for a specific substance and graphically illustrated. Moreover, the results predicted by (C-T, L-S, G-L, G-N II and DPL) theories also examined the existence and nonexistence of the viscosity and (Seebeck–Peltier) coefficients.

KEYWORDS:

• Thermo-viscoelasticity
• magnetic field
• Seebeck–Peltier coefficients
• five theories
• Normal mode analysis

Acknowledgment

This research was funded by Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R229), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia [Grant Number PNURSP2022R229].