Electric field stabilization of viscous liquid layers coating the underside of a surface

摘要: We investigate the electrostatic stabilization of a viscous thin film wetting underside horizontal surface in presence an electric field applied parallel to surface. The model includes effect bounding solid dielectric regions above and below liquid-air system that are typically found experiments. competition between gravitational forces, tension, nonlocal is captured analytically form nonlinear evolution equation. A semispectral solution strategy employed resolve dynamics resulting partial differential Furthermore, we conduct direct numerical simulations (DNS) Navier-Stokes equations using volume-of-fluid methodology assess accuracy obtained solutions long-wave (thin-film) regime when varying strength from zero up point complete occurs. employ DNS examine limitations asymptotically derived behavior as liquid layer thickness increases find excellent agreement even beyond strict applicability asymptotic solution. Finally, computational approaches utilized identify robust efficient active control mechanisms allowing manipulation fluid interface light engineering applications at small scales, such mixing.