Oscillatory magnetohydrodynamic (MHD) Stoke’s flow past a flat plate with induced magnetic field effects

S. K. Ghosh

African Journal of Engineering Research
Published: February 2 2021
Volume 9, Issue 1
Pages 1-12

Abstract

Oscillatory magnetohydrodynamic (MHD) Stoke’s flow of a viscous incompressible electrically conducting fluid past a flat plate in the presence of a transverse magnetic field has been investigated. In a fully ionized fluid, the effect of induced magnetic field is considered by applying Laplace transform method where the electric field cannot be ignored. None of the author has considered the effect of induced magnetic field on MHD flow system by employing Laplace transform method with the ignorance of an electric field. Since the MHD flow oscillates harmonically with time, a time varying electromagnetic field of sinusoidal in nature is subjected to a plasma flow of equal number of ions and electrons. Since the MHD flow is associated with a perfectly conducting wall, the magnetic field does not penetrate outside the flow region. Since the phase angle is characterized by a time varying electromagnetic field of sinusoidal in nature, the effect of induced magnetic field communicates a tendency of spiraling on MHD flow with increase in phase angle (wt). In varying time (t) the effect of induced magnetic field leads to a spiraling in nature. The situation reveals that the charged particle gyrates round the lines of force in a MHD flow field. Numerical results of velocity distributions, induced magnetic field distributions and the frictional shearing stress are depicted graphically.

Keywords: Oscillatory MHD flow, magnetic force, Laplace transform method, induced magnetic field, plasma state, phase angle.

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