EFFECT OF TWO SUSPENDED PARTICLE IN SUPERPOSED VISCO- ELASTIC (Walter B’) FLUIDS THROUGH A POROUS MEDIUM

Abstract

In present paper we considered two suspended particle in superposed viscous-elastic (Walter B’) fluids through porous medium. Here, a horizontal barrier divides the two uniform Walter B' fluids. With the help of equation of continuity and equation of motion we derive the perturbation equations. Examine the viscous and visco elastic (Walters B`) fluids, separated by a horizontal boundary. In exponentially varying density cases, the system is shown to be either stable or unstable depending on the circumstances for the stable configuration. As a result of the unstable arrangement, the system is unstable. Similar results are obtained for the situation of an exponentially variable density in stable stratification, however the system is found to be unstable for the unstable stratification. With the aid of the MATLAB App, the analytical and graphical characteristics of growth rates with respect to fluid viscosity, viscoelasticity, suspended particle number density, medium permeability, fluid density, and drag coefficient are evaluated.