ABSTRACT

Abstract

In this research, an investigation study of the oscillatory MHD Poisuelle flow of dusty viscoelastic fluid down an inclined channel has been carried out. The fluid is electrically conducting containing dusty particle which are solid, elastic spheres, identical and symmetrical in size, electrically non-conducting and distributed uniformly within the fluid motion. Continuum equations governing laminar flow of the dusty viscoelastic fluid due to an oscillatory pressure gradient in the presence of a transverse magnetic field were developed. With the assumptions of incompressibility and constant particulate volume fraction the resulting equations were solved analytically via perturbation techniques. Numerical evaluations of the analytically solutions were computed and shown graphically to illustrate the effects of different physical parameters on the solutions. It is clearly show that income is the values of magnetic parameter have the tendency to show the movement of the suspension in the channel, causing a reduction in the flow rate of both phases and in the fluid wall shear stress.The more interesting was the cross-over of the velocity curve of the fluid and the particles due to the variation of the suction parameter and the influence of the magnetic field in the suspension of such cross-over.

Keywords: Dusty Viscoelastic Fluids; Poisuelle Flow; Non-Newtonian Fluid;Skin Friction; Magnetic Prandtl Number;Dust Particle Concentration.