Abstract
This work concerns a theoretical investigation on the effects of suction/injection, magnetic field, permeability of porous materials and viscous dissipation on an electrically conducting incompressible fluid passes through a vertical porous channel filled with porous materials. One of the plates moves in the flow direction while the other is stationary. The governing coupled flow equations have been solved analytically using Homotopy Perturbation Method (HPM). The influences of the flow parameters on velocity and temperature were plotted on graphs while numerical values for rate of heat transfer and shear stress on the heated and cold plates were presented in tables. Excellent agreements were found when compared with the previous works. It is noteworthy to mention that the hydrodynamic and thermodynamic distributions of the fluid increase with increase in viscous dissipation [Formula: see text]. It is also found that the shear stress decreases with increase in the magnetic field [Formula: see text] while a reverse case was observed for growing the permeability of the porous materials [Formula: see text]. It is further found that the velocity and temperature distributions decrease with increase in suction [Formula: see text].
Highlights
The study of fluid dynamics nowadays has received a great interest and concern due to its applications in science and engineering
Ajibade and Umar[6] studied combined effects of diffusion-thermo and chemical reaction on an unsteady magnetohydrodynamics fluid past through an inclined channel in the presence of heat and radiation absorption. They found that the velocity profile decreases with increase in magnetic field while it increases with increase in permeability of the porous materials
Permeability parameter and suction/injection in the presence of viscous dissipation on an incompressible fluid passing through a vertical channel filled with porous materials were investigated
Summary
The study of fluid dynamics nowadays has received a great interest and concern due to its applications in science and engineering. These applications could be found in geothermal energy, gas turbines, plasma physics, petroleum industries, cooling of nuclear reactors, food processing industries, nuclear power plants, gas drainage, lubrication industries etc. Jha and Ajibade[1] studied a transient case of a free convective flow of heat generating/absorbing fluid in a vertical channel. They showed that an increase in heat absorption led to increase in the rate of heat transfer on the moving plate and causes a decrease in the heat transfer on the stationary plate.
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