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Effect of Rotation on Free Convective Flow on Vertically Upwards Heated Plate with Gravity Modulation in Slip Flow Region


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1 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla -5, India
     

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The aim of this present paper is to study free convective unsteady flow of a viscous incompressible, rotating fluid in a porous medium past an infinite vertical plate with gravity modulation to the flow region. Expressions for velocity, temperature and concentration distribution are obtained by using perturbation technique. Also the expressions for the skinfriction coefficient, rate of heat transfer and Sherwood number are derived. The effects of Prandtl number (Pr), Grashof number (Gr), modified Grashof number (Gc), frequency of oscillation(ω), Rotation parameter (E), gravity modulation parameter(α ) and Permeability parameter (K_0) are studied through graphs. It is found that primary velocity of fluid decreases with increase of rotation parameter whereas secondary velocity is increased near to the wall. And with increase of Prandtl number velocity as well as temperature decreases. Concentration decreases with increase of Schmidt number.

Keywords

Rotation, Free Convection, Gravity Modulation, Slip Flow Region.
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  • Effect of Rotation on Free Convective Flow on Vertically Upwards Heated Plate with Gravity Modulation in Slip Flow Region

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Authors

M. G. Gorla
Department of Mathematics & Statistics, Himachal Pradesh University, Shimla -5, India
Khem Chand
Department of Mathematics & Statistics, Himachal Pradesh University, Shimla -5, India
Asha Singh
Department of Mathematics & Statistics, Himachal Pradesh University, Shimla -5, India

Abstract


The aim of this present paper is to study free convective unsteady flow of a viscous incompressible, rotating fluid in a porous medium past an infinite vertical plate with gravity modulation to the flow region. Expressions for velocity, temperature and concentration distribution are obtained by using perturbation technique. Also the expressions for the skinfriction coefficient, rate of heat transfer and Sherwood number are derived. The effects of Prandtl number (Pr), Grashof number (Gr), modified Grashof number (Gc), frequency of oscillation(ω), Rotation parameter (E), gravity modulation parameter(α ) and Permeability parameter (K_0) are studied through graphs. It is found that primary velocity of fluid decreases with increase of rotation parameter whereas secondary velocity is increased near to the wall. And with increase of Prandtl number velocity as well as temperature decreases. Concentration decreases with increase of Schmidt number.

Keywords


Rotation, Free Convection, Gravity Modulation, Slip Flow Region.