Stability and equilibrium of charged rotating drops

Abstract eng:
In this contribution we use the Boundary Element Method to study the stability of a viscous conducting and charged drop, submmitted to rotation at constant angular momentum. This droplet is considered to be contained in another viscous and insulating fluid. Our numerical simulations show that the Rayleigh fissibility ratio at which charged drops become unstable decreases with angular momentum. We have also considered neutral drops subject to an electric field, in this case the critical value of the field which destabilizes the drop increases with rotation. Concerning equilibrium shapes, approximate spheroids and ellipsoids are obtained and the transition values between these two families of solutions is described.

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