Fluid Dynamics

, Volume 52, Issue 2, pp 253–263 | Cite as

Instability of a liquid layer under periodic influence: Falling film in an alternating electric field

  • E. I. Mogilevskii


The linear analysis of stability of a plane-parallel time-periodic flow is carried out. The numerical method which makes it possible to reduce the spectral problem for the time-dependent Orr–Sommerfeld equation to an algebraic eigenvalue problem is used. The film of viscous conducting liquid which flows down a vertical wall in the normal electric field is considered and parametric resonances are revealed.


hydrodynamic instability electric field Floquet theory thin films 


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© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Faculty of Mechanics and MathematicsLomonosov Moscow State UniversityMoscowRussia

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