Nonlinear Dynamics and Break Up of Charged Drops.


Tsamopoulos John A., Brown Robert A.


The objective of this paper is to develop a rigorous framework for studying the nonlinear dynamics of drops and bubbles and to apply this theory to several of the outstanding problems. As opposed to numerical solutions, this semi-analytical method is relatively inexpensive, yields an exhaustive mapping of the long-time response of the drop as a function of the initial deformation, and other appropriate parameters and uncovers the nonlinear effects of fluid inertia and capillarity. The analyses focus on the dynamics of freely oscillating, inviscid drops and bubbles.