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

Pages (from-to) | 357-378 |

Number of pages | 22 |

Journal | Journal of Fluid Mechanics |

Volume | 176 |

State | Published - Mar 1987 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Journal of Fluid Mechanics*,

*176*, 357-378.

**EQUILIBRIUM SHAPE AND STABILITY OF MENISCI FORMED BETWEEN TWO TOUCHING CYLINDERS.** / Saez, Avelino E; Carbonell, R. G.

Research output: Contribution to journal › Article

*Journal of Fluid Mechanics*, vol. 176, pp. 357-378.

}

TY - JOUR

T1 - EQUILIBRIUM SHAPE AND STABILITY OF MENISCI FORMED BETWEEN TWO TOUCHING CYLINDERS.

AU - Saez, Avelino E

AU - Carbonell, R. G.

PY - 1987/3

Y1 - 1987/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0023311514&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023311514&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0023311514

VL - 176

SP - 357

EP - 378

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

ER -