Steady rimming flows with surface tension

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

Research output: Contribution to journalArticle

34 Citations (Scopus)
24 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)91-118
Number of pages28
JournalJournal of Fluid Mechanics
Volume597
DOIs
Publication statusPublished - Feb 2008

Keywords

  • steady rimming flows
  • surface tension

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