Hall Effects on Hydromagnetic Rotating Couette Flow

The hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid bounded by two infinite parallel non-conducting plates in the presence of a uniform transverse magnetic field is studied on taking Hall currents into account. The relevant equations are solved analytically. The solution obtained shows that the inclusion of Hall currents gives some interesting results. It is found that the Hall currents tend to retard the primary velocity in the region near the stationary plate and accelerates the primary velocity in the region near the moving plate. It has reverse effect on the secondary velocity in the presence of Hall currents. It is observed that the induced magnetic field components are radically influenced by the Hall currents. On the other hand, the shear stresses at the moving plate decreases with an increase in the Hall parameter. It is interesting to note that both for large squared-Hartmann number and rotation parameter there exists a single-deck boundary layer in the region near the stationary plate. The boundary layer thickness increases with an increase in Hall parameter whereas it decreases with an increase in either squared-Hartmann number or rotation parameter. The asymptotic behavior of the solutions are discussed for large values of squared-Hartmann number and rotation parameter.