Effects of Hall currents and Coriolis force on Hartmann flow under general wall conditions

Abstract

The influence of Hall currents and rotation on a generalized Hartmann flow and heat transfer is investigated. The channel is rotating with a constant angular velocity around an axis perpendicular to the walls in a uniform transverse magnetic field. The walls may have the same thickness, electrical and thermal conductivity as well as Hall parameter or different ones. The flow may be driven either by a pressure gradient or by motion of one of the walls. Exact solutions are derived for the velocity, magnetic field, viscous stress, current density, temperature distribution, yield components, electric current components, mean temperature as well as Nusselt numbers. Representative numerical results are presented in diagrams and effects of different parameters are discussed.