Date of Award
Doctor of Philosophy in Mathematical Sciences - (Ph.D.)
Demetrius T. Papageorgiou
Daljit S. Ahluwalia
Charles M. Maldarelli
Peter G. Petropoulos
We examine the stability of a thin two-dimensional liquid film with a regular electric field applied in a direction parallel to an initially flat bounding fluid interface. We study the distinct physical effects of surface tension, van der Waals and electrically induced forces for a viscous incompressible fluid. The film is assumed to be sufficiently thin, and the surface tension and electrically induced forces are large enough that gravity can be ignored to the leading order. Our target is to analyse the nonlinear stability of the flow. We attain this by deriving and numerically solving a set of nonlinear evolution equations for the local film thickness and for symmetrical interfacial perturbations. We find that the electric field forces enhance the stability of the flow and can remove rupture.
Savettaseranee, Knograt, "Instability of electrified viscous films" (2002). Dissertations. 535.