RAYLEIGH-TAYLOR INSTABILITY OF 2 SUPERPOSED FLUIDS UNDER IMPOSED HORIZONTAL AND PARALLEL ROTATION AND MAGNETIC-FIELDS

We present numerical and analytical results for the linear Rayleigh-Ta ylor instability of a two-layer nonviscous magnetofluid under uniform horizontal magnetic and rotation fields. The parameters are the non-di mensional density difference A, rotation field F, magnetic field B, an d angle of propagation of perturbation theta. When rotation is present alone, an increase in F may stabilize the system in some range of val ues, after which instability occurs again. The effect of a magnetic fi eld in this system is investigated. An increase in B diminishes the st able angular area and decreases the critical value of F for stability. The critical values of F for stability, as functions of B and theta, were obtained by means of an approximation of the nonlinear algebraic eigenvalue equation. Moreover, exact solutions, independent of A, for the critical values of F for instability were obtained.