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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2021, Tutor: Alberto Fernández-Nieves

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This report aims to shed light on the diﬀerent instability regimes of charged toroidal droplets. Firstly, we have studied the shrinkage and breakup of neutral tori through Rayleigh-Plateau instabilities. When charged, electrical stresses can overcome surface tension stresses leading to droplet expansion. At even higher voltage, tori can develop Saﬀman-Taylor instabilities, which result in viscous ﬁngering. Remarkably, at high enough potential, these viscous ﬁngering branch out, giving rise to a magniﬁcent dendritic-growth behaviour