EQUILIBRIUM SHAPE AND STABILITY OF MENISCI FORMED BETWEEN TWO TOUCHING CYLINDERS.

Avelino E Saez, R. G. Carbonell

Research output: Contribution to journalArticle

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Abstract

The equilibrium shape and stability of menisci formed at the contact line between two vertically aligned cylinders were investigated by developing a general bifurcation analysis from the classic equation of Young-Laplace. It was found that the maximum amount of liquid that can be held at the contact line is determined by the existence of a bifurcation of the equilibrium solutions. The onset of instability is characterized by a translationally symmetric bifurcation that always precedes the instability to asymmetric perturbations. The maximum stable liquid retention is a strong function of the ratio of gravitational to surface-tension forces, indicating that gravity acts as a destabilizing force. The effect of contact angle on the maximum liquid retention is more complex: when the gravitational effects are small, an increase in contact angle results in a decrease in liquid retention; on the other hand, when the gravitational effects are appreciable, a maximum value of the liquid retention is obtained for intermediate values of the contact angle.

Original languageEnglish (US)
Pages (from-to)357-378
Number of pages22
JournalJournal of Fluid Mechanics
Volume176
StatePublished - Mar 1987
Externally publishedYes

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ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

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