A note on the unsteady motion of a viscous conducting liquid between two porous concentric circular cylinders acted on by a radial magnetic field

In this note the author has investigated some problems of a flow of conducting liquid through two porous non-conducting infinite circular cylinders rotating with various angular velocities for some time in the presence of a radial magnetic field.It is assumed that the rate of suction at the inner cylinder is equal to the rate of injection at the outer cylinder. Furthermore the induced electric and magnetic fields are neglected.Nomenclature a, b radii of coaxial cylinders - h ₁, h ₂ constants - m, n constants - P hydrostatic pressure - t time - A, B functions of r and b - B ₀ magnetic induction vector B ₀= _e H - H magnetic field vector - H intensity of magnetic field - L, M functions of a and b - S Suction parameter - Coefficient of viscosity - _e magnetic permeability - Kinematic coefficient of viscosity - density of liquid - conductivity of liquid - Small time - Constant - ₁, ₂ angular vrlocities - , ₁, ₂ angular velocities.