Hydromagnetic flow near an oscillating porous limiting surface

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Boundary Layer Plasmas, Harmonic Oscillation, Magnetohydrodynamic Flow, Oscillating Flow, Stellar Atmospheres, Stellar Magnetic Fields, Fluid Injection, Prandtl Number, Stellar Models, Suction

Scientific paper

Unsteady hydromagnetic flow near a harmonically oscillating limiting surface (e.g., of a star) is considered in presence of a transverse magnetic field. Exact solutions for a periodic boundary layer without a 'mean steady flow' are obtained in the case where the magnetic Prandtl number is unity and there is a normal velocity of injection imposed at the wall. Results are also presented for the case where the wall is subjected to a normal velocity of suction instead of injection. It is observed that two distinct boundary (or hydromagnetic boundary) layers exist and tend to coalesce into a single layer when the magnetic-field parameter approaches zero. The thicknesses of these boundary layers are significantly affected by the injection/suction velocity and the applied magnetic field.

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