Steady rimming flows with surface tension

E.S. Benilov, M.S. Benilov, Natalia Kopteva

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

We examine steady flows of a thin film of viscous fluid on the inside of a cylinder with horizontal axis, rotating about this axis. If the amount of fluid in the cylinder is sufficiently small, all of it is entrained by rotation and the film is distributed more or less evenly. For medium amounts, the fluid accumulates on the ‘rising’
side of the cylinder and, for large ones, pools at the cylinder’s bottom. The paper examines rimming flows with a pool affected by weak surface tension. Using the lubrication approximation and the method of matched asymptotics, we find a solution describing the pool, the ‘outer’ region, and two transitional regions, one of
which includes a variable (depending on the small parameter) number of asymptotic zones.
LanguageEnglish
Pages91-118
Number of pages28
JournalJournal of Fluid Mechanics
Volume597
DOIs
Publication statusPublished - Feb 2008

Fingerprint

steady flow
Steady flow
Steady Flow
Surface Tension
Surface tension
interfacial tension
Fluids
Lubrication Approximation
Matched Asymptotics
Fluid
Lubrication
fluids
viscous fluids
Accumulate
lubrication
Viscous Fluid
Small Parameter
Thin Films
Thin films
Rotating

Keywords

  • steady rimming flows
  • surface tension

Cite this

Benilov, E.S. ; Benilov, M.S. ; Kopteva, Natalia. / Steady rimming flows with surface tension. In: Journal of Fluid Mechanics. 2008 ; Vol. 597. pp. 91-118.
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Steady rimming flows with surface tension. / Benilov, E.S.; Benilov, M.S.; Kopteva, Natalia.

In: Journal of Fluid Mechanics, Vol. 597, 02.2008, p. 91-118.

Research output: Contribution to journalArticle

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