Free convection effects on the hydromagnetic oscillatory flow in the Stokes problem past an infinite porous vertical limiting surface with constant suction. I

Astronomy and Astrophysics – Astrophysics

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Free Convection, Magnetohydrodynamic Flow, Oscillating Flow, Porous Walls, Stokes Flow, Wall Flow, Conducting Fluids, Incompressible Flow, Magnetic Effects, Reynolds Number, Suction, Vertical Distribution, Viscous Flow, Wall Temperature

Scientific paper

In this work an analysis of Stokes' problem for a two-dimensional unsteady hydromag- netic free convection flow, of an incompressible viscous electrically conducting fluid, past an infinite. vertical porous limiting surface is presented, when the free stream velocity oscillates in time about a constant mean value. The flow is subjected to a constant suction, through the porous wall, and the difference between the wall temperature and the free stream is moderately large causing the free convection currents. The mathematical analysis is presented for the hydromagnetic boundary layer flow without taking into account the induced magnetic field. This is a valid assumption for small magnetic Reynolds number. Analytical expressions for the velocity field, the temperature field and for their related quantities are obtained. The influence of the various parameters entering into the problem is extensively discussed. A comparative study with hydrodynamic case is also made wherever necessary

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