Date of Award

Spring 2002

Document Type

Dissertation

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.

Included in

Mathematics Commons

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