On the Effect of Thomson and Initial Stress in a Thermo-Porous Elastic Solid under G-N Electromagnetic Theory

Abstract

The present work investigated the effect of Thomson and initial stress in a thermo-porous elastic solid under G-N electromagnetic theory. The Thomson coefficient affects the heat condition equation. A constant Thomson coefficient, instead of traditionally a constant Seebeck coefficient, is assumed. The charge density of the induced electric current is taken as a function of time. A normal mode method is proposed to analyze the problem and to obtain numerical solutions. The results that were obtained for all physical sizes are graphically illustrated and we offer a comparison between the type II G-N theory and the G-N theory of type III, both in the present case and in the absence of specific parameters, as initial stress, pores and the Thomson effect. Some particular cases are also discussed in the context of the problem. The results indicate that the effect of initial stress, Thomson coefficient effect, and magnetic field are very pronounced.

Effect of Thomson and thermal loading due to laser pulse in a magneto‐thermo‐elastic porous medium with energy dissipation

“…Now, we consider the charge density is functional only in time, thus the Equation will take the form If we consider that, the velocity of the charges is proportional to the velocity of the particles , Equation gives (see Abd‐Elaziz et al where is the charge density when the strain vanishes and p 0 is small non‐dimensional constant.…”

“…If we consider that, the velocity of the charges is proportional to the velocity of the particles , Equation (15) gives (see Abd-Elaziz et al [28] )…”

“…Effect of rotation and gravitational field on a micropolar magneto-thermoelastic medium with the dual-phaselag model has been investigated in [24]. Also see Kandelousi et al, [25] Bhatti et al [26] and Shehzad et al [27] and Abd-Elaziz et al [28] The excitement of thermoelastic waves by a pulsed laser in solid is of great interest due to extensive applications of pulsed laser technologies in material processing and non-destructive detecting and characterization. When a solid is illuminated with a laser pulse, absorption of the laser pulse results in a localized temperature increase, which in turn causes thermal expansion and generates a thermoelastic wave in the solid.…”

Buoyancy Driven Flow with Gas-Liquid Coatings of Peristaltic Bubbly Flow in Elastic Walls

“…Coating with viscous liquids is usually present in very rich industrial trials, which allow the coating of particles under the shear forces exerted in a mixing device. A list of key investigations on peristaltic flows [22][23][24], multiphase flows [25][26][27][28][29], bubbly flows [30][31][32][33][34], coatings [35][36][37][38][39][40], elastic medium [41,42], and several other references are available, which provide a more in-depth understanding to the reader.…”

On a magneto‐poro‐thermoelastic medium under the influence of the Seebeck effect

“…The effect of Thomson and thermal loading due to laser pulse in a magneto‐thermoelastic porous medium with energy dissipation was analyzed . The influence of Thomson and initial stress in a thermo‐porous elastic solid in the context of G‐N electromagnetic theory was investigated …”