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

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

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

Author(s) -

Alexander W. Wray,

Omar K. Matar,

Demetrios T. Papageorgiou

Publication year - 2017

Publication title -

physical review fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.244

H-Index - 37

eISSN - 2469-9918

pISSN - 2469-990X

DOI - 10.1103/physrevfluids.2.063701

Subject(s) - reynolds number , falling (accident) , mechanics , plane (geometry) , flow (mathematics) , inclined plane , mathematics , physics , geometry , turbulence , medicine , environmental health , quantum mechanics

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

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