Hydromagnetic Instability of Streaming Viscoelastic Fluids Through Porous Media

The hydromagnetic instability of the plane interface between two uniform, superposed and streaming Rivlin-Ericksen viscoelastic fluids through porous medium is considered. The case of two uniform streaming fluids separated by a horizontal boundary is studied. It is observed, for the special case where perturbations in the direction and transverse direction of streaming are ignored, that the system is stable for stable configuration and unstable for unstable configuration. If the perturbations in the direction of streaming only one ignored, then the system is stable for stable configuration. However, the magnetic field succeeds in stabilizing certain wave-number range, which is otherwise potentially unstable. In all other directions, a minimum wave-number value has been found beyond which the system is unstable; the instability is found to be postponed by the presence of the magnetic field.