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Accurate low-order modeling of electrified falling films at moderate Reynolds number

Wray, Alexander W. and Matar, Omar K. and Papageorgiou, Demetrios T. (2017) Accurate low-order modeling of electrified falling films at moderate Reynolds number. Physical Review Fluids, 2 (6). ISSN 2469-990X

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Abstract

The two- and three-dimensional spatio-temporal dynamics of a falling, electrified leaky dielectric film are studied. The method of weighted residuals is used to derive high-order models that account for both inertia as well as second-order electrostatic effects. The models are validated against both linear theory and direct numerical simulations of the Navier-Stokes equations. It is shown that a simplified model offers a rapid computational option at the cost of a minimal decrease in accuracy. This model is then used to perform a parametric study in three dimensions.