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

Alexander W. Wray, Omar K. Matar, Demetrios T. Papageorgiou

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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.

Original languageEnglish
Article number063701
Number of pages21
JournalPhysical Review Fluids
Volume2
Issue number6
DOIs
Publication statusPublished - 22 Jun 2017

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Keywords

  • Navier-Stokes equation
  • spatio-temporal dynamics
  • dielectric film

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