Abstract
The laminar fully developed free-convection flow in a channel bounded by two vertical plates, partially filled with porous matrix and partially with a clear fluid, has been discussed when both the plates are moving in opposite direction. Two regions are coupled, by equating the velocity and shear stress at the interface. The momentum transfer in porous medium has been described by the Brinkman-extended Darcy model. The affect of Darcy number on flow velocity has been discussed in fluid region, interface region and porous medium with the help of graphs. Analytic method has been adopted to obtain the expressions of velocity and temperature. The skin-friction component has also been determined and presented with the help of tables.
Highlights
Flow in a region, part of which is occupied by a clear fluid and part by a fluid-saturated porous medium, has recently attracted considerable attention due to its common occurrence in both geophysical and industrial environments, including engineering applications such as thermal-energy storage system, a solar collector with a porous absorber and porous journal-bearings
The laminar fully developed free-convection flow in a channel bounded by two vertical plates, partially filled with porous matrix and partially with a clear fluid, has been discussed when both the plates are moving in opposite direction
The momentum transfer in porous medium has been described by the Brinkman-extended Darcy model
Summary
Part of which is occupied by a clear fluid and part by a fluid-saturated porous medium, has recently attracted considerable attention due to its common occurrence in both geophysical and industrial environments, including engineering applications such as thermal-energy storage system, a solar collector with a porous absorber and porous journal-bearings. Vafai & Kim [4] modeled the flow in the porous region utilizing the so-called Brinkman-Forchheimer-extended Darcy equation (Vafai & Kim [5] and Kuznetsov [6]). Convection in porous media is applied in utilization of geothermal energy, the control of pollutant spread in groundwater, the design of nuclear reactors, compact heat exchangers, solar power collectors, heat transfer associated with the deep storage of nuclear waste and high performance insulators for buildings. Considerable progress in this area was made by Nield & Bejan [9] and Kaviany [10]. In this paper we extend the problem of [16], when both the plates are moving in the opposite direction
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