Non-linear waves in electrified viscous film flow down a vertical cylinder

A. W. Wray, O. Matar, D. T. Papageorgiou

Research output: Contribution to journalArticle

8 Citations (Scopus)

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.

LanguageEnglish
Pages430-440
Number of pages11
JournalIMA Journal of Applied Mathematics
Volume77
Issue number3
DOIs
Publication statusPublished - 29 May 2012

Fingerprint

Nonlinear Waves
Vertical
Thin Films
Electric Field
Electric fields
Thin films
Asymptotic analysis
Circular Cylinder
Term
Circular cylinders
Asymptotic Analysis
Traveling Wave
Electrostatics
Numerical Computation
Nonlinear Dynamics
Gravity
Gravitation
Liquid
Fluid
Fluids

Keywords

  • capillarity
  • electric field
  • interfacial instability
  • leaky dielectric
  • thin film

Cite this

Wray, A. W. ; Matar, O. ; Papageorgiou, D. T. / Non-linear waves in electrified viscous film flow down a vertical cylinder. In: IMA Journal of Applied Mathematics. 2012 ; Vol. 77, No. 3. pp. 430-440.
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Non-linear waves in electrified viscous film flow down a vertical cylinder. / Wray, A. W.; Matar, O.; Papageorgiou, D. T.

In: IMA Journal of Applied Mathematics, Vol. 77, No. 3, 29.05.2012, p. 430-440.

Research output: Contribution to journalArticle

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