Unsteady Hydromagnetic Flow in a Rotating Channel with Oscillating Pressure Gradient

Abstract

Unsteady hydromagnetic flow of a viscous incompressible electrically conducting fluid confined between rotating parallel plate non-conducting channel flow under the influence of an oscillating pressure gradient permeated by anuniform transverse magnetic field of which induced magnetic field is taken into account, is studied. The solution in dimensionless form contains four flow parameters viz., α_m, E, P_m and ω are, respectively, the magnetic interaction parameter, Ekman number, magnetic Prandtl number and frequency parameter. Asymptotic behaviour of the solution is analysed for large ω. The numerical results of velocity, induced magnetic field and shear stress are shown graphically and the mean sectional velocities are presented numerically.