Magnetohydrodynamic flow in closed channels

The flow of an electrically charged fluid through a channel with asymmetric wall distortions and a cross-channel pressure interaction in the presence of a constant, transverse magnetic field is considered. It is shown that the basic nature of the hydrodynamic interaction is retained on a shorter stream-wise length scale, with gradually increasing magnetic field strength. An algebraic relation between the magnetic field strength and the Reynolds number is obtained. A new flow structure is obtained as the magnetic field strength becomes sufficiently large, where the stream-wise length of the cross-channel pressure interaction is proportional to the channel width. Linear and non-linear solutions along with linear free interactions are used to examine the structural properties