Abstract
An analysis is presented for the problem of the unsteady two-dimensional laminar flow of a viscous incompressible micropolar fluid past a vertical porous plate in the presence of a transverse magnetic field and thermal radiation with variable heat flux. The free stream velocity follows an exponentially increasing or decreasing small perturbation law. A uniform magnetic field acts perpendicularly to the porous surface in which it absorbs the micropolar fluid with a suction velocity varying with time. The Rosseland approximation is used to describe radiative heat transfer in the limit of optically thick fluids. The effects of flow parameters and thermophysical properties on the flow temperature fields across the boundary layer are investigated. The method of solution can be applied for small perturbation approximation. Numerical results of velocity profiles of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid. Also, the results of the skin-friction coefficient and the couple stress coefficient at the wall are prepared with various values of the fluid properties.
Highlights
The classical Navier-Stokes theory does not describe adequately the flow properties of polymeric fluids, colloidal suspensions, and fluids containing certain additives
The study of the flow and heat transfer for a micropolar fluid past porous plate embedded in a porous medium has attracted the interest of many investigators in view of its applications in many engineering problems such as oil exploration, chemical catalytic reactors, thermal insulation, and geothermal energy extractions (Raptis [7])
Kim [9] presented an analysis of an unsteady convection flow of a micropolar fluid past a vertical porous plate embedded in a porous medium
Summary
The classical Navier-Stokes theory does not describe adequately the flow properties of polymeric fluids, colloidal suspensions, and fluids containing certain additives. The theory of thermomicropolar fluids was developed by Eringen [2] by extending his theory of micropolar fluid. They represent fluids consisting of randomly oriented particles suspended in a viscous medium. The study of the flow and heat transfer for a micropolar fluid past porous plate embedded in a porous medium has attracted the interest of many investigators in view of its applications in many engineering problems such as oil exploration, chemical catalytic reactors, thermal insulation, and geothermal energy extractions (Raptis [7]). Kim [9] presented an analysis of an unsteady convection flow of a micropolar fluid past a vertical porous plate embedded in a porous medium
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