Unsteady Flow of a Dusty Conducting Fluid Between Parallel Porous Plates With Temperature Dependent Viscosity

Authors: HAZEM ALI ATTIA

Abstract: This paper studies unsteady laminar flow of dusty conducting fluid between parallel porous plates with temperature dependent viscosity. The fluid is acted upon by a constant pressure gradient and an external uniform magnetic field is applied perpendicular to the plates. The parallel plates are assumed to be porous and subjected to a uniform suction from above and injection from below. The viscosity of the fluid is assumed to vary exponentially with temperature. The governing nonlinear partial differential equations are solved numerically and some important effects for the variable viscosity and the uniform magnetic field on the transient flow and heat transfer of both the fluid and dust particles are indicated.

Keywords: Fluid mechanics, magnetohydrodynamics, heat transfer, transient state, two-phase flow, dust particles, finite differences.

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