Reflection and Refraction of Waves at the Boundary of a Non-Viscous Porous Solid Saturated with Single Fluid and a Porous Solid Saturated with Two Immiscible Fluids

Abstract

The phenomenon of reflection and refraction is studied at the welded interface between two different porous solids. One is saturated with single non-viscous fluid and other is saturated with two immiscible viscous fluids. The incidence of Pf, Ps or SV wave through porous solid saturated with non-viscous fluid results in the three reflected waves and the four waves refracted to porous medium saturated with two immiscible viscous fluids. For the presence of viscosity in pore-fluids, the waves refracted to corresponding medium attenuate in the direction normal to the interface. It is also revealed that for the post-critical incidence of Ps wave, the reflected Pf and SV waves becomes evanescent and for the post-critical incidence of SV wave, the reflected Pf wave becomes evanescent. While, the occurrence of critical incidence is not observed for the incidence of Pf wave. The ratios of amplitudes of reflected and refracted waves to that of incident wave are expressed through a non-singular system of linear algebraic equations. These amplitude ratios are used further to calculate the shares of different scattered waves in the energy of incident wave. For a particular numerical model, the energy shares are computed for incident direction varying from normal incidence to grazing incidence. The conservation of energy across the interface is verified. Effects of non-wet saturation of pores, frequency of wave and porosity on the energy partitions are depicted graphically and discussed.

Effect of Roasting on the Proximate Composition, Antioxidant Activity, and Functional Properties of Afrostyrax lepidophyllus (Country Onion) Seeds

“…Te highest porosity was recorded with the sample roasted in a microwave at 450 W for 10 min, which contributes in justifying the highest water holding activity obtained with the same sample. High porosity is technologically important as porous samples are lighter and suitable for packaging and transport [45].…”

Wave propagation at the welded interface of an elastic solid and unsaturated poro-thermoelastic solid

“…In the present scenario, numerous researchers have done a quantitative illustration of elastic wave propagation at the interface of porous solid containing two immiscible fluids. Numerous authors have dissected the reflection/refraction issues involving unsaturated porous solid (Tomar and Arora, 2006;Kumar and Saini, 2012;Chen et al, 2012aChen et al, , 2012bSaini, 2015;Shekhar and Parvez, 2015;Kumar and Saini, 2016;Kumar et al, 2019Kumar et al, , 2021b. However, the wave propagation and refraction/refraction phenomena in non-isothermal media, such as unsaturated poro-thermoelastic media, are additionally intricate than partially saturated porous media.…”