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 language | English |
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Article number | 063701 |
Number of pages | 21 |
Journal | Physical Review Fluids |
Volume | 2 |
Issue number | 6 |
DOIs | |
Publication status | Published - 22 Jun 2017 |
Keywords
- Navier-Stokes equation
- spatio-temporal dynamics
- dielectric film