• UNSTEADY FREE MHD CONVECTION FLOW PAST A VERTICAL POROUS PLATE IN SLIP-FLOW REGIME UNDER OSCILLATORY BOUNDARY CONDITIONS
Abstract
ABSTRACT
The unsteady free convective viscous incompressible flow past an infinite vertical porous flat plate with fluctuating heat and mass transfer in slip-flow regime is discussed. Assuming variable suction at the porous plate, nearly approximate solutions are obtained for velocity, skin-friction, and temperature and species concentration. The effects of Gr, Gc, Sc, A and ω for Pr = 0.71 (air) have been presented graphically and discussed qualitatively. It is noticed that as Grashof number increases, the velocity of the fluid medium decreases. Also, as modified Grashof number increases, in general the velocity increases. Further, it is seen that as Schmidt number increases, the velocity increases initially within the boundary layer region and thereafter it decreases. It is seen that the magnetic intensity suppresses fluid velocity. Also, increase of the pore size of the fluid bed and Prandtl No causes the fluid velocity to decrease. It is seen that the suction parameter influences temperature significantly and as the suction parameter increases, the temperature field decreases. Further, the concentration of the fluid medium decreases as the suction parameter increases. For a fixed magnetic intensity, as Grashof number increases, the skin friction is found to be increasing. Further, when Grashof number is varied, it is seen that, the skin friction decreases as the magnetic intensity increases. The influence of the amplitude on the velocity profiles is studied. It is noticed that, as the amplitude increases, the fluid velocity decreases and also at times a backward flow is noticed. Due to the percolation of the fluid into the boundary such a backward flow is noticed. However, as we move far away from the bounding surface, the effect of such backward flow is found to be negligible and the influence of amplitude is not seen. Also, it is seen that as B increases while holding Gr constant, the skin friction increases. The relation between skin friction and B is found to be almost linear.
Key words: Free Convection, Incompressible Fluid, Heat and Mass Transfer.
The unsteady free convective viscous incompressible flow past an infinite vertical porous flat plate with fluctuating heat and mass transfer in slip-flow regime is discussed. Assuming variable suction at the porous plate, nearly approximate solutions are obtained for velocity, skin-friction, and temperature and species concentration. The effects of Gr, Gc, Sc, A and ω for Pr = 0.71 (air) have been presented graphically and discussed qualitatively. It is noticed that as Grashof number increases, the velocity of the fluid medium decreases. Also, as modified Grashof number increases, in general the velocity increases. Further, it is seen that as Schmidt number increases, the velocity increases initially within the boundary layer region and thereafter it decreases. It is seen that the magnetic intensity suppresses fluid velocity. Also, increase of the pore size of the fluid bed and Prandtl No causes the fluid velocity to decrease. It is seen that the suction parameter influences temperature significantly and as the suction parameter increases, the temperature field decreases. Further, the concentration of the fluid medium decreases as the suction parameter increases. For a fixed magnetic intensity, as Grashof number increases, the skin friction is found to be increasing. Further, when Grashof number is varied, it is seen that, the skin friction decreases as the magnetic intensity increases. The influence of the amplitude on the velocity profiles is studied. It is noticed that, as the amplitude increases, the fluid velocity decreases and also at times a backward flow is noticed. Due to the percolation of the fluid into the boundary such a backward flow is noticed. However, as we move far away from the bounding surface, the effect of such backward flow is found to be negligible and the influence of amplitude is not seen. Also, it is seen that as B increases while holding Gr constant, the skin friction increases. The relation between skin friction and B is found to be almost linear.
Key words: Free Convection, Incompressible Fluid, Heat and Mass Transfer.
Keywords
Free Convection, Incompressible Fluid, Heat and Mass Transfer.
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