The equilibrium and stability of menisci between touching spheres under the effect of gravity

Avelino E Saez, R. G. Carbonell

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

The equilibrium shapes and stability of menisci formed at the contact point between two vertically aligned spheres were theoretically studied. The equilibrium configurations were determined as solutions of the equation of Young-LaPlace. The stability of the equilibrium shapes was determined by means of a perturbation analysis of the three-dimensional form of the equation of Young-LaPlace. It was found that there is a maximum amount of liquid that can be retained at the contact point, which is determined by geometrical considerations when gravitational effects are important, and by the onset of instability when gravitational effects are negligible. The maximum amount of liquid diminishes as the gravitational forces become stronger with respect to surface tension forces. In the case of small contact angles, an increase in the contact angle results in an increase in the maximum liquid retention, whereas, when the contact angle is large, this trend is reversed.

Original languageEnglish (US)
Pages (from-to)408-418
Number of pages11
JournalJournal of Colloid and Interface Science
Volume140
Issue number2
DOIs
StatePublished - 1990
Externally publishedYes

Fingerprint

menisci
Gravitational effects
Contact angle
gravitational effects
Gravitation
Point contacts
gravitation
Liquids
liquids
Surface tension
interfacial tension
trends
perturbation
configurations

ASJC Scopus subject areas

  • Colloid and Surface Chemistry
  • Physical and Theoretical Chemistry
  • Surfaces and Interfaces

Cite this

The equilibrium and stability of menisci between touching spheres under the effect of gravity. / Saez, Avelino E; Carbonell, R. G.

In: Journal of Colloid and Interface Science, Vol. 140, No. 2, 1990, p. 408-418.

Research output: Contribution to journalArticle

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