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The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title: Instability of electrified viscous films
Author: Savettaseranee, Knograt
View Online: njit-etd2002-052
(x, 54 pages ~ 5.1 MB pdf)
Department: Department of Mathematical Sciences
Degree: Doctor of Philosophy
Program: Mathematical Sciences
Document Type: Dissertation
Advisory Committee: Papageorgiou, Demetrius T. (Committee chair)
Ahluwalia, Daljit S. (Committee member)
Maldarelli, Charles M. (Committee member)
Petropoulos, Peter G. (Committee member)
Kondic, Lou (Committee member)
Date: 2002-05
Keywords: Electrified viscous films
Linear stability
Two-dimensional liquid film
Van Der Waals
Availability: Unrestricted

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.

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