Magnetohydrodynamic Convective Flow in a Rotating Channel with Hall Effects
Abstract
The effects of Hall current on combined free and forced convection flow in a rotating channel with perfectly conducting walls is studied. Heat transfer characteristics of the flow are also considered taking viscous and Joule dissipations into account. Analytical solution, for the velocity and induced magnetic field, is obtained in closed form. The asymptotic solutions, valid for small and large values of k 2and M2, are obtained to gain some physical insight into the flow pattern. The expressions for the shear stress at both the plates, mass flow rates and critical Grashof number at both the plates are also obtained. Numerical values of analytical solution, for the velocity and induced magnetic field, are depicted graphically for various values of m, G and k2 and the profiles of fluid temperature are drawn for various values of G and k2, numerical values of fluid temperature are presented in table for different values of m. It is found that Hall current and free convection accelerate primary as well as secondary flow whereas rotation retards primary flow and accelerates secondary flow throughout the channel. Free convection has stabilizing effect on primary and secondary flows near the upper plate whereas Hall current has stabilizing effect on secondary flow near the upper plate.
