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

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

doi:10.1103/PhysRevFluids.2.063701

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

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

Mathematics And Statistics

Research output: Contribution to journal › Article

3 Citations (Scopus)

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.

Language	English
Article number	063701
Number of pages	21
Journal	Physical Review Fluids
Volume	2
Issue number	6
DOIs	10.1103/PhysRevFluids.2.063701
Publication status	Published - 22 Jun 2017

Fingerprint

Reynolds number

Modeling

Dielectric films

Direct numerical simulation

Model

Electrostatics

Inertia

Navier Stokes equations

Three-dimension

Navier-Stokes Equations

Higher Order

Decrease

Three-dimensional

Keywords

Navier-Stokes equation
spatio-temporal dynamics
dielectric film

Cite this

Wray, A. W., Matar, O. K., & Papageorgiou, D. T. (2017). Accurate low-order modeling of electrified falling films at moderate Reynolds number. Physical Review Fluids, 2(6), [063701]. https://doi.org/10.1103/PhysRevFluids.2.063701

Wray, Alexander W. ; Matar, Omar K. ; Papageorgiou, Demetrios T. / Accurate low-order modeling of electrified falling films at moderate Reynolds number. In: Physical Review Fluids. 2017 ; Vol. 2, No. 6.

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Wray, AW, Matar, OK & Papageorgiou, DT 2017, 'Accurate low-order modeling of electrified falling films at moderate Reynolds number' Physical Review Fluids, vol. 2, no. 6, 063701. https://doi.org/10.1103/PhysRevFluids.2.063701

Accurate low-order modeling of electrified falling films at moderate Reynolds number. / Wray, Alexander W.; Matar, Omar K.; Papageorgiou, Demetrios T.

In: Physical Review Fluids, Vol. 2, No. 6, 063701, 22.06.2017.

Research output: Contribution to journal › Article

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