Axisymmetric MHD viscous flows bounded by a solid plane normal to a uniform ambient magnetic field: fundamental flows and application to a solid sphere translating normal to the wall

The Force on a Magneto-spherical Particle Oscillating in a viscous Fluid Perpendicular to an Impermeable Planar Wall with Slippage

“…Cramer and Pai [1] studied the effects of a magnetic field upon a Stokes flow and their theory has been applied to a variety of geophysical, astrophysical, and engineering issues. According to Sellier and Aydin [2] axisymmetric magnetohydrodynamic movements can be produced in a conducting Newtonian flux region surrounded by a flat wall by classifying either radial or axial points forces on a circular ring established parallel with the wall and perpendicular to a uniform magnetic field. Corrugated curved channels are used for MHD flow [3].…”