HYDROMAGNETIC CONVECTION IN A ROTATING SYSTEM

In the present article, hydromagnetic free convective flow of an incompressible, electrically conducting viscous fluid in a horizontal channel with temperature-dependent viscosity is studied using an Arrhenius model in which viscosity is assumed to be variable, decreasing exponentially with temperature. The channel rotates in its plane with constant angular velocity, and the fluid is acted upon by a constant pressure gradient. An external strong magnetic field of uniform strength is applied perpendicular to the flow regime, and the Hall effect is taken into account. The viscous and Joule dissipations are considered in the energy equation. The plates of the channel are maintained at two constant but different temperatures. An analytical solution for the equations of primary velocity, secondary velocity, and temperature distribution is obtained using a perturbation technique. Expressions for skin friction at the channel walls corresponding to primary and secondary velocity and rate of heat transfer are also derived. The effects of the parameters entered into the equations of velocity and temperature distribution are examined and discussed.