Linear Stability Analysis of a Particle Laden Poiseuille Couette Flow Over a Porous Layer

In this study, we discuss the linear stability analysis of a particle laden flow in a Poiseuille Couette flow configuration with a bottom Brinkman porous layer and an impermeable top moving wall. The Dusty-Gas Model is used to model the flow as a mixture of pure fluid and particles due to the significant impact of the particles. We model the flow in the porous layer by using the Brinkman equation and couple it with the Navier-Stokes equation used to model the flow in the fluid layer. The effects of the Couette flow component, porous to fluid layer depth ratio, permeability, porosity, particle concentration and more on the linear stability analysis are discussed. The results show that changing the listed components effect the transition between stabilized and turbulent flows.