Abstract
We investigate the evolution and stability of a wetting viscous fluid layer flowing down the surface of a cylinder, and surrounded by a conductive gas. The inner cylinder is an electrode kept at constant voltage, and a second, concentric electrode encloses the system whose potential is allowed to vary spatially. This induces electrostatic forces at the interface in competition with surface tension and viscous stresses. Asymptotic methods are used to derive a long-wave axisymmetric model governing the interfacial position and charge density. The resulting system of equations is investigated both analytically and numerically to determine its stability characteristics in the linear and nonlinear regimes.
Original language | English |
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Pages (from-to) | 427-456 |
Number of pages | 30 |
Journal | Journal of Fluid Mechanics |
Volume | 735 |
Early online date | 24 Oct 2013 |
DOIs | |
Publication status | Published - 30 Nov 2013 |
Keywords
- interfacial flows (free surface)
- MHD and electrohydrodynamics
- thin films