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Stability of Stratified Rotating Viscoelastic Rivlin–Ericksen Fluid in The Presence of Variable Magnetic Field

Rajesh Kumar Gupta and Mahinder Singh

The Rayleigh- Taylor instability of stratified rotating viscoelastic (Rivilin- Ericksen) fluids in the presence of variable magnetic field is considered. Numerically and graphically results show that the presence of magnetic field stabilizes a certain wave- number band, whereas the system is unstable for all wave-numbers in the absence of the magnetic field, rotation and for non- viscoelastic fluid. The wave- number range, for which the potential unstable system gets stabilizing effect, increases with the increase in the magnetic field and decreases with the increase in kinematic viscoelasticity