Hydromagnetic flow near an oscillating wall

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Incompressible Flow, Magnetohydrodynamic Flow, Viscous Flow, Wall Flow, Current Density, Electric Current, Magnetic Effects, Magnetic Field Configurations, Velocity Distribution

Scientific paper

The flow of a viscous incompressible and electrically conducting fluid produced by a harmonically oscillating wall of infinite extent in the presence of a transverse magnetic field is considered. Exact solutions for velocity, induced magnetic field, electric current density, and skin friction are obtained in the case where the magnetic Prandtl number is unity. It is shown that the velocity has a phase lag with respect to the oscillations of the wall. This phase lag is found to be significantly affected by the applied magnetic field.

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