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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/6883

Title: Electric fields as a means of controlling thin film flow over topography
Authors: Veremieiev, S
Gaskell, PH
Lee, YC
Thompson, HM
2nd Micro and Nano Flows Conference (MNF2009)
Keywords: Thin liquid films
Free surface flow
Electrohydrodynamics
Numerical solutions
Topography
Publication Date: 2009
Publisher: Brunel University
Citation: 2nd Micro and Nano Flows Conference, Brunel University, West London, UK, 01-02 September 2009
Abstract: Gravity-driven, steady-state flow of a thin liquid film over a substrate containing topography in the presence of a normal electric field is investigated. The liquid is assumed to be a perfect conductor and the air above it an ideal dielectric. The Navier-Stokes equations are solved using a new depth-averaged approximation that is capable of analysing film flows with inertia, with the flow coupled to the electric field via a Maxwell normal stress term that results from the solution of Laplace’s equation for the electric potential above the film. The latter is solved analytically using separation of variables and Fourier series. The coupled solver is used to analyse the interplay between inertia and electric field effects for flow over onedimensional step and trench topographies and to predict the effect of an electric field on three-dimensional Stokes flow over a two-dimensional trench topography. Sample results are given which investigate the magnitude of the electric fields needed to suppress free surface disturbances induced by topography in each of the cases considered.
Description: This paper was presented at the 2nd Micro and Nano Flows Conference (MNF2009), which was held at Brunel University, West London, UK. The conference was organised by Brunel University and supported by the Institution of Mechanical Engineers, IPEM, the Italian Union of Thermofluid dynamics, the Process Intensification Network, HEXAG - the Heat Exchange Action Group and the Institute of Mathematics and its Applications.
Sponsorship: This study is funded by the European Union via Marie Curie Action Contract MEST-CT-2005-020599.
URI: http://bura.brunel.ac.uk/handle/2438/6883
ISBN: 978-1-902316-72-7
978-1-902316-73-4
Appears in Collections:Brunel Institute for Bioengineering (BIB)
The Brunel Collection

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