Nonlinear Instability of Compressible Starting Plumes

Physics – Fluid Dynamics

Scientific paper

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Scientific paper

The structure and dynamics of stellar convective envelopes and giant planet atmospheres is thought to be controlled by narrow buoyantly driven plumes spanning the convectively unstable region and penetrating the over or underlying stably stratified layers. The stability and entrainment properties of such plumes are poorly understood. When the background state is significantly stratified, downward directed thermal starting plumes are subject to a nonlinear pinch instability not realized in their incompressible counterparts. It results from finite amplitude pressure perturbations dynamically induced in the wake of the plume head. We examine this instability mechanism utilizing two-dimensional planar and axisymmetric as well as fully three-dimensional numerical simulations, and discuss its sensitivity to geometry and dissipation.

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