Liquid layer flow over a convex corner in the presence of an electric field

• Main Author: Farid, Saadia
• Other Authors: Gajjar, Jitesh
• Published: University of Manchester 2014
• Subjects: 519
• Online Access: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.603163

Thin film flow plays a significant role in several areas of engineering, geophysics and biophysics and has important application in nanofluidics and microfluidics, coating flows. The aim of this thesis is to study the behaviour of the liquid layer when it passes through a convex corner in the presence of a uniform electric field acting normal to it. Three dimensionless parameters, Reynolds number (R), electric Weber number (We) and capillary number (C) are used to study the dynamics and stability of the liquid layer. The Reynolds number (R) is considered large throughout. The electric Weber number (We) occurs due to the contribution of electric field. The problem is studied in the context of triple deck theory. Liquid layer flows over a convex corner in absence of an electric field has already been discussed in Gajjar [4] where surface tension effects were ignored. The present problem is modification in Gajjar problem [4] by introducing an electric field in it and using the capillary number (C) to keep the surface tension effects. The governing equations lead to a novel triple-deck problem and expressions for linearized solutions are derived analytically. Also, linear and non-linear numerical solutions are obtained for various limiting cases of the electric Weber number and capillary number.