Instability of a dusty vortex

We investigate the effect of inertial particles dispersed in a circular patch finite radius on stability two-dimensional Rankine vortex semi-dilute dusty flows. Unlike particle-free case where no unstable modes exist, we show that feedback force from triggers novel instability. The mechanisms driving instability are characterized using linear analysis for weakly and further validated against Eulerian-Lagrangian simulations. particle-laden is always if mass loading $M>0$. Surprisingly, even non-inertial destabilize by mechanism analogous to centrifugal Rayleigh-Taylor radially stratified with density jump. identify critical above which an eigenmode $m$ becomes unstable. This drops zero as m increases. When inertial, fall below become unstable, whereas, it remain but lower growth rates compared case. Comparison simulations shows computed match well theoretical predictions. Past stage, observe emergence high-wavenumber turn into spiraling arms concentrated emanating out core, while regions flow sucked inward. vorticity field displays similar pattern lead breakdown initial structure. highlights how disperse phase can induce otherwise resilient vortical