The Combined Effects of Wall Properties and Space Porosity on MHD Two-Phase Peristaltic Slip Transport Through Planar Channels

In this article, a theoretical investigation is analyzing the effects of the complaint wall properties, the slip conditions, the space porosity, and the transverse magnetic field on the magnetohydrodynamic peristaltic transport of viscous compressible flow carrying out some rigid spherical suspension particles flowing through space porous medium in a horizontal elastic rectangular channel. The flexible channel walls are taken as a sinusoidal wave. The expressions describing the peristaltic transport are mathematically analyzed using the perturbation technique with a small amplitude wave ratio. The analytical study describes the influence of various wall parameters such as damping force, wall tension, and wall elasticity and flow parameters as compressibility parameter, slip parameter, suspension parameter, Reynolds number, space porosity, and magnetic field parameter on the net axial velocity. The reversal flow occurs at the channel core and boundaries due to the slip and the magnetic field effects. Biological, geophysical, and industrial fluid dynamics applications are important models for the peristaltic transport described in this work.