ON THE EQUILIBRIUM OF STRATIFIED VISCOELASTIC PLASMA WITH QUANTUM PRESSURE AND SUSPENDED PARTICLES SATURATING POROUS MEDIUM

Abstract

Stability of stratified incompressible viscoelastic plasma arranged in horizontal strata with quantum pressure and dust particles saturated by a porous medium is investigated. The rheology of the plasma is described by the Walters (model B). The set of non-linear partial differential equations defining the physical system are reduced to linear ordinary differential equations by using the perturbation method, linear theory and normal mode technique. The density, viscosity, viscoelasticity and quantum pressure are assumed to stratify exponentially along the vertical, to obtain exact solutions satisfying the physical boundary conditions and the dispersion relation. The values of growth rate of the unstable perturbed modes are computed numerically to investigate roles that the various variables play on the stability on the considered physical system and are shown graphically. It is observed that the suspended dust particles density and relaxation time factor have a destabilizing effect on the system; whereas viscoelasticity in the presence of suspended dust particles lead to more damping in the frequency of perturbed waves. This work finds applications in diverse fields viz. modern technology, industries, astrophysics, petroleum oil additives, equipment of aero planes etc.