Abstract
This paper studies the effect of variable viscosity on the transient Couette flow of dusty fluid with heat transfer between parallel plates. 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 upper plate is moving with a uniform velocity while the lower is kept stationary. 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.
Highlights
The study of the flow of dusty fluids has important applications in the fields of fluidization, combustion, use of dust in gas cooling systems, centrifugal separation of matter from fluid, petroleum industry, purification of crude oil, electrostatic precipitation, polymer technology, and fluid droplets sprays.The hydrodynamic flow of dusty fluids was studied by a number of authors [6,7,8, 13, 14]
More accurate prediction for the flow and heat transfer can be achieved by taking into account the variation of these properties, especially the variation of the fluid viscosity with temperature [9]
Klemp et al [10] have studied the effect of temperaturedependent viscosity on the entrance flow in a channel in the hydrodynamic case
Summary
The study of the flow of dusty fluids has important applications in the fields of fluidization, combustion, use of dust in gas cooling systems, centrifugal separation of matter from fluid, petroleum industry, purification of crude oil, electrostatic precipitation, polymer technology, and fluid droplets sprays. The influence of the magnetic field on the flow of electrically conducting dusty fluids was studied [1, 5, 11, 12, 16]. Most of these studies are based on constant physical properties. More accurate prediction for the flow and heat transfer can be achieved by taking into account the variation of these properties, especially the variation of the fluid viscosity with temperature [9]. Attia and Kotb [4] studied the steady MHD fully developed flow and heat transfer between two parallel plates with temperature-dependent viscosity.
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