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Unsteady MHD flow past a porous plate with step function change in suction at slip flow regime
Authors:S T Revankar  V M Korwar
Institution:(1) Department of Engineering Physics, McMaster University, Hamilton, Canada;(2) Department of Physics, Karnatak University, Dharwad, India
Abstract:Unsteady two-dimensional hydromagnetic flow of an electrically conducting viscous incompressible fluid past a semi-infinite porous flat plate with step function change in suction velocity is studied allowing a first order velocity slip at the boundary condition. The solution of the problem is obtained in closed form and the results are discussed with the aid of graphs for various parameters entering in the problem.Notations B intensity of magnetic field - H magnetic field parameter,H=(M+1/4)1/2–1/2 - h rarefaction parameter - L 1 slip coefficient; 
$$L_1  = \left( {\tfrac{{2 - f}}{f}} \right)I$$
;I, mean free path of gas molecules;f, Maxwell's reflection coefficient - M magnetic field parameter - r suction parameter - tprime time - t dimensionless time - uprime velocity of the fluid - u dimensionless velocity of the fluid - U velocity of the fluid at infinity - vprime suction velocity - v 1 suction velocity att<=0 - v 2 suction velocity att>0 - xprime distance parallel to the plate - yprime distance normal to the plate - y nondimensional distance normal to the plate - v kinematic viscosity - sgr electric conductivity of the fluid - rhov density of the fluid - tauprime shear stress at the wall - tau nondimensional shear stress at the wall - erf error function - erfc complementary error function
Keywords:
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