Stability of Stratified Viscoelastic Rivlin-Ericksen Fluid/Plasma in the Presence of Variable Horizontal Magnetic Field

A study has been made of the instability of an electrically conducting stratified viscoelastic Rivlin-Ericksen fluid/plasma arranged in a horizontal strata to include a variable horizontal magnetic field. Applying the linear stability theory and normal mode technique to a set of partial differential equations, the solutions of an eigen value problem have been obtained by assuming exponential vertical stratifications in density, neutral gas density, viscosity, viscoelasticity and magnetic field. Using these solutions, the dispersion relation so obtained has been analysed numerically. It has been found that viscosity, viscoelasticity , collisional frequency and magnetic field have stabilizing effects on the growth rates for unstable configuration under certain wave-number band.