Free convection effects on oscillatory hydromagnetic boundary layer flow

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Boundary Layer Flow, Conducting Fluids, Free Convection, Magnetohydrodynamic Flow, Oscillating Flow, Porous Plates, Electrical Resistivity, Incompressible Fluids, Skin Friction, Temperature Profiles, Two Dimensional Flow, Viscous Fluids

Scientific paper

Unsteady flow of an incompressible viscous electrically conducting fluid past an infinite porous plate has been analyzed under the following assumptions: (1) suction velocity oscillates in time about a constant mean; (2) the free-stream velocity oscillates in time about a constant mean; (3) the plate temperature is constant; (4) the difference between the temperature of the plate and the free stream is moderately large, causing free-convection currents; (5) a uniform transverse magnetic field is applied; and (6) the magnetic Reynolds number is very small and hence the induced magnetic field is neglected. Approximate solutions to the coupled nonlinear equations governing the flow are derived for the transient velocity, the transient temperature, the amplitude and phase of the skin friction, and the rate of heat transfer. During the course of analysis the effects of Grashof number, Prandtl number, magnetic-field parameter, suction parameter, and frequency are discussed.

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