Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-27T09:28:43.174Z Has data issue: false hasContentIssue false
  • English
  • Français

The stability of a meniscus joining a vertical rod to a bath of liquid

Published online by Cambridge University Press:  11 April 2006

E. Pitts
E. Pitts
Affiliation:
Research Division, Kodak Limited, Headstone Drive, Harrow, Middlesex HA1 4TY, England
Get access Rights & Permissions [Opens in a new window]

Abstract

A circular cylinder is held vertically and withdrawn from a large bath of liquid. When the horizontal end face of the cylinder rises above the mean undisturbed liquid level, an axially symmetrical meniscus is formed, which joins the cylinder at the circumference of the end. If the cylinder is further withdrawn, at a certain height the meniscus breaks. By means of the calculus of variations the condition for stability is derived in terms of the increase in height and the increase in the angle between the tangent to the meniscus and the face of the cylinder at the point where the meniscus joins it. The meniscus is unstable as long as these changes are of the same sign.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 76 , Issue 4 , 25 August 1976 , pp. 641 - 651
Copyright
© 1976 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bolza, O. 1961 Lectures on the Calculus of Variations. Dover.
Kovitz, A. A. 1975 J. Colloid Interface Sci. 50, 125.
Padday, J. F. & Pitt, A. R. 1973 Phil. Trans. A 275, 489.
Padday, J. F. & Pitt, A. R. 1975 In the press.
Pitts, E. 1973 J. Fluid Mech. 59, 753.
Pitts, E. 1974 J. Fluid Mech. 63, 487.
Pitts, E. 1975 J. Chem. Soc. Faraday I 72, 1519.
Princen, H. M. 1969 In Surface and Colloid Science (ed. E. Matijevic), vol. 2, p. 1. Interscience.