Document Type
Dissertation
Date of Award
Spring 5-31-2002
Degree Name
Doctor of Philosophy in Mathematical Sciences - (Ph.D.)
Department
Mathematical Sciences
First Advisor
Demetrius T. Papageorgiou
Second Advisor
Daljit S. Ahluwalia
Third Advisor
Charles M. Maldarelli
Fourth Advisor
Peter G. Petropoulos
Fifth Advisor
Lou Kondic
Abstract
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.
Recommended Citation
Savettaseranee, Knograt, "Instability of electrified viscous films" (2002). Dissertations. 535.
https://digitalcommons.njit.edu/dissertations/535
