The response of elastic waves upon encountering the boundary between two elastic media is investigated in the present work. Whereas the top medium is thermoelastic isotropic porous, the below medium is thermoelastic rotating porous diffusive. There is an uncoupled transmitted SV-wave propagating through the medium, and the lower medium is rotating with some fixed angular frequency. When the incident wave hits the boundary, it produces four transmitted waves and five coupled quasi-reflected waves. The system is divided into longitudinal and transverse components using the Helmholtz decomposition theorem. Analytical computations of speed and reflection coefficients for transmitted and reflected waves are performed using LS theory. The outcomes are graphically represented for a particular material subject to nonlocal and fractional-order influences. Wave characteristics, such as speed and reflection coefficients for transmitted and reflected waves, are plotted versus angular frequency and angle of incidence using MATLAB programing. The conservation of energy has also been verified. In the absence of rotation, hall current, voids, viscoelasticity, and diffusion in the medium, the previous results in the literature are obtained.

This article communicates peristalsis of Jeffrey material in curved geometry. Here, material has temperature-dependent thermal conductivity and viscosity. Mathematical modeling of an inclined magnetic field in curved configuration has been presented in this article. Irreversibility effects have been analyzed through entropy generation. Slip conditions are entertained both for velocity and thermal fields. Problem is first reduced in wave frame and then lubrication approach has been utilized. Numerical solution of dimensionless problem is obtained and important parameters of curiosity are examined. It is noticed that velocity enhances for higher viscosity whereas temperature decreases for higher thermal conductivity coefficient. Velocity of the flow is maximum for inclination of magnetic field to be zero and it is minimum for ${\vartheta }_o=90{}^{°}.$ Heat transfer parameter enhances both for thermal conductivity parameter and Hartmann number. Temperature is high for curved configuration when compared with straight channel. It is observed that entropy remains unchanged in center of the channel and it is maximum near the channel walls. Entropy generation decays near the channel walls by higher viscosity and thermal conductivity parameters. However, entropy is more for higher inclination of magnetic field.