Couette Hartmann Flow in a Rotating Channel with Arbitrary Conducting Walls and Hall Effects

What is it about?

Combined free and forced convection Couette-Hartmann flow of a viscous, incompressible and electrically conducting fluid in rotating channel with arbitrary conducting walls in the presence of Hall current is investigated. Boundary conditions for magnetic field and expressions for shear stresses at the walls and mass flow rate are derived. Asymptotic analysis of solution for large values of rotation and magnetic parameters is performed to highlight nature of modified Ekmann and Hartmann boundary layers.

Featured Image

Why is it important?

Complete analysis of Couette-Hartmann flow between arbitrary conducting walls taking into account the effects of Hall current and Coriolis force. Heat transfer analysis is also performed by solving the non-linear heat transfer equation. For the first time we report that fluid velocity depends on wall conductance ratio of moving wall and on the sum of wall conductance ratios of both the walls of channel. There also arises reverse flow in the secondary flow direction near central region of the channel due to thermal buoyancy force.