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

E. I. Mogilevskii

doi:10.1134/S0015462817020090

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

E. I. Mogilevskii

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	253-263
Number of pages	11
Journal	Fluid Dynamics
Volume	52
Issue number	2
DOIs	https://doi.org/10.1134/S0015462817020090
State	Published - 1 Mar 2017
Externally published	Yes

Keywords

electric field
Floquet theory
hydrodynamic instability
thin films

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10.1134/S0015462817020090

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abstract = "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{\textendash}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.",

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KW - Floquet theory

KW - hydrodynamic instability

KW - thin films

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

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Keywords

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