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Rayleigh-Taylor and Buoyancy-driven instabilities are very commoninstabilities for an inhomogeneous medium. We examine here how theseinstabilities grow for incompressible viscoelastic fluids like a stronglycoupled dusty plasma by using incompressible generalized hydrodynamic (i-GHD)fluid model. Since the dust particles are pretty massive, the gravitationalattraction of earth has a significant role in its dynamics. In this paper theacceleration due to gravity g and the role of strong coupling in the context ofgravitationally stratified dusty plasma fluid have been considered. We findthat the appearance of elasticity speed up the growth of viscoelastic RTinstability by reducing the effect of viscosity at timescales shorter than theMaxwell relaxation time ${\tau_m}$. The buoyancy driven situation withspatially localized (in both dimensions) of low/high density regions placed ina background medium has also been evolved in the presence of gravity. Ourstudies show that both the instabilities get suppressed with increasingcoupling strength of the medium. This suppression has been illustratedanalytically as well as by carrying out a two-dimensional fully nonlinearsimulation.

journal of plasma physics

A numerical study of gravity driven instability in strongly coupled  dusty plasmas.Part I: Rayleigh-Taylor instability and Buoyancy-driven  instability