HYDROMAGNETIC-STABILITY OF 2 RIVLIN-ERICKSEN ELASTOVISCOUS SUPERPOSEDCONDUCTING FLUIDS

The stability of the plane interface separating two Rivlin-Ericksen el astico-viscous superposed fluids of uniform densities when the whole s ystem is immersed in a uniform horizontal magnetic field has been stud ied. The stability analysis has been carried out, for mathematical sim plicity, for two highly viscous fluids of equal kinematic viscosities and equal kinematic viscoelasticities. It is found that the stability criterion is independent of the effects of viscosity and viscoelastici ty and is dependent on the orientation and magnitude of the magnetic f ield. The magnetic field is found to stabilize a certain wave-number r ange of the unstable configuration. The behaviour of growth rates with respect to kinematic viscosity and kinematic viscoelasticity paramete rs are examined numerically.