MAGNETOHYDRODYNAMIC WAVE-CURRENT SYSTEM WITH CONSTANT VORTICITY

The basic linear theory is given for a perfectly conducting stratified wave-current system in which there is an upper layer of incompressibl e fluid of constant vorticity propagating on a slightly heavier lower layer of stagnant fluid. An extraneous homogeneous horizontal magnetic field B-0 is present, directed either longitudinally or transversely. Because of the magnetic field the basic governing equations for the s ystem form a set of differential equations, in marked contrast to the single algebraic dispersion equation that would result were the magnet ic field absent. The differential equations are solved, and the soluti ons are shown graphically for various cases of the magnetic field stre ngth. (C) 1996 American Institute of Physics.