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- Title
Non-linear waves in electrified viscous film flow down a vertical cylinder.
- Authors
Wray, A. W.; Matar, O.; Papageorgiou, D. T.
- Abstract
The non-linear dynamics of a viscous film falling under gravity on the outside surface of a vertical circular cylinder are investigated. An electric field is imposed radially and the non-linear deformations of the liquid–air interface are modelled using thin film asymptotic analysis. The resulting equation extends other thin film models found in the literature. The electrostatic terms are a result of both normal and tangential Maxwell stresses, the latter made possible when the fluid is a leaky dielectric. The normal stresses produce non-local terms that destabilize the flow, whereas the tangential stresses can be either stabilizing or destabilizing. Numerical computations show that the electric field can be used to either suppress or enhance the instability by producing travelling wave structures with relatively larger amplitudes.
- Subjects
NONLINEAR waves; ELECTRIC fields; VISCOUS flow; THIN films; SURFACES (Technology); ENGINE cylinders; DEFORMATIONS (Mechanics)
- Publication
IMA Journal of Applied Mathematics, 2012, Vol 77, Issue 4, p430
- ISSN
0272-4960
- Publication type
Article
- DOI
10.1093/imamat/hxs027