Gas bubble with a moving contact line rising in an inclined channel at finite Reynolds number

Catherine E. Norman*, Michael J. Miksis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

The dynamics of a gas bubble with a moving contact line rising in an inclined channel is investigated. The solution of this free boundary problem is determined numerically by using a level-set method coupled with a finite difference solution of the Navier-Stokes equations. Results are presented as a function of Reynolds number (Re), Bond number, and the angle of inclination. Steadily rising bubbles are found for small values of both the Reynolds and Bond number. With increasing Reynolds number, the steady solution first bifurcates to a time periodic oscillation, and then the numerical results imply period doubling. Large values of Reynolds or Bond number cause the bubble to either detach from the wall or to rupture.

Original languageEnglish (US)
Pages (from-to)191-204
Number of pages14
JournalPhysica D: Nonlinear Phenomena
Volume209
Issue number1-4 SPEC. ISS.
DOIs
StatePublished - Sep 15 2005

Keywords

  • Contact line motion
  • Fluid mechanics
  • Interfacial motion

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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