Hydromagnetic free-convection effects on the oscillatory flow in the Stokes' problem past a vertical limiting surface. I

Astronomy and Astrophysics – Astrophysics

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Free Convection, Oscillating Flow, Porous Walls, Stokes Flow, Two Dimensional Flow, Free Flow, Incompressible Fluids, Magnetic Fields, Suction, Surface Temperature, Viscous Flow

Scientific paper

This paper presents an approximate solution to a two-dimensional free-convection flow of a viscous, incompressible fluid past an infinite vertical, porous, limiting surface under the following conditions: (1) the fluid is electrically conducting; (2) the limiting surface is electrically non-conducting; (3) the free-stream velocity oscillates in time about a constant mean; (4) suction velocity normal to the limiting surface is constant; (5) the limiting surface temperature is constant; (6) the limiting surface is moved impulsively in its own plane with velocity U0; (7) there exist free-convection currents due to the difference between the limiting surface temperature and the free-stream temperature; (8) a uniform transverse magnetic field is applied. The mean velocity, mean temperature, mean induced magnetic field and related quantities are shown graphically, followed by a discussion.

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