### 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 language | English (US) |
---|---|

Pages (from-to) | 408-418 |

Number of pages | 11 |

Journal | Journal of Colloid and Interface Science |

Volume | 140 |

Issue number | 2 |

DOIs | |

State | Published - 1990 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

*Journal of Colloid and Interface Science*,

*140*(2), 408-418. https://doi.org/10.1016/0021-9797(90)90361-Q

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

Research output: Contribution to journal › Article

*Journal of Colloid and Interface Science*, vol. 140, no. 2, pp. 408-418. https://doi.org/10.1016/0021-9797(90)90361-Q

}

TY - JOUR

T1 - The equilibrium and stability of menisci between touching spheres under the effect of gravity

AU - Saez, Avelino E

AU - Carbonell, R. G.

PY - 1990

Y1 - 1990

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0025603360&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025603360&partnerID=8YFLogxK

U2 - 10.1016/0021-9797(90)90361-Q

DO - 10.1016/0021-9797(90)90361-Q

M3 - Article

VL - 140

SP - 408

EP - 418

JO - Journal of Colloid and Interface Science

JF - Journal of Colloid and Interface Science

SN - 0021-9797

IS - 2

ER -