Abstract
The combined influences of Hall currents and rotation on the MHD Couette flow of a viscous incompressible electrically conducting fluid between two infinite horizontal parallel porous plates channel in a rotating system in the presence of a uniform transverse magnetic field have been carried out. The solutions for the velocity field as well as shear stresses have been obtained for small time as well as for large times by Laplace transform technique. It is found that for large times the Hall currents accelerates primary flow whereas it retards secondary flow while the rotation retards the primary flow whereas it accelerates the secondary flow. It is also found that the velocity components converge more rapidly for small time solution than the general solution. The asymptotic behavior of the solution is analyzed for small as well as large values of magnetic parameter M2, rotation parameter K2 and Reynolds number Re. It is observed that a thin boundary layer is formed near the moving plate of the channel and the thicknesses of the layer increases with increase in either Hall parameter m or Reynolds number Re while it decreases with increase in Hartmann number M. It is interesting to note that for large values of M2 , the boundary layer thickness is independent of the rotation parameter.
Highlights
In most of the cases, the Hall term is ignored by applying Ohm’s law as it has no marked effect for small magnetic fields
It is observed that a thin boundary layer is formed near the moving plate of the channel and the thicknesses of the layer increases with increase in either Hall parameter m or Reynolds number Re while it decreases with increase in Hartmann number M
It is interesting to note that for large values of M 2, the boundary layer thickness is independent of the rotation parameter
Summary
In most of the cases, the Hall term is ignored by applying Ohm’s law as it has no marked effect for small magnetic fields. To study the effects of strong magnetic fields on the electrically conducting fluid flow, we see that the influence of the electromagnetic force is noticeable and causes anisotropic electrical conductivity in the plasma. This anisotropy in the electrical conductivity of the plasma produces a current known as the Hall current. In the present paper we have studied the combined effects of Hall current and rotation on the MHD Couette flow of a viscous incompressible electrically conducting fluid between two infinite horizontal parallel porous plates channel in a rotating system when one of the plate moving with uniform velocity and the other one held at rest. It is interesting to note that for large values of M 2 , the boundary layer thickness is independent of the rotation parameter
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
