The effects of thermal relaxation time in a two-dimension porous medium due to thermal loading

In this article, the generalized model for thermoelastic waves with one relaxation time is utilized to compute the increment of temperature, the components of displacement, the changes in volume fraction field and the stress components in a two-dimension porous medium. By using Fourier-Laplace transforms with the eigenvalue approach, the physical quantities are analytically obtained. The derived method is evaluated with numerical results which are applied to the porous medium in simplified geometry. Numerical outcomes for all the physical quantities considered are implemented and represented graphically. The effects of thermal relaxation time in the temperature, the changes in volume fraction field, the displacement components and the stress components have been depicted graphically.

Automated summary

This article utilizes the generalized model for thermoelastic waves to compute the temperature increment, displacement components, changes in volume fraction field, and stress components in a two-dimensional porous medium. Analytical solutions are obtained using Fourier-Laplace transforms with the eigenvalue approach. The method is validated through numerical results and graphical representation. The effects of thermal relaxation time on the physical quantities are depicted graphically.