Hostname: page-component-5c6d5d7d68-7tdvq Total loading time: 0 Render date: 2024-08-17T22:35:28.819Z Has data issue: false hasContentIssue false

Waves in a viscous liquid curtain

Published online by Cambridge University Press:  20 April 2006

S. P. Lin
Affiliation:
Clarkson College of Technology, Potsdam, New York 13676
G. Roberts
Affiliation:
Clarkson College of Technology, Potsdam, New York 13676

Abstract

The wave motion created by a small obstacle placed in a viscous liquid curtain which falls steadily between two vertical guide wires is studied experimentally. The disturbances introduced by the obstacle propagate in the curtain to form two distinctive stationary lines of constant phase; one corresponds to the sinuous mode and the other to the varicose mode. The observed wave motion compares very well with that predicted by the theory of Lin (1980). The observed angle between the tangent at any point on the line of constant phase and the vertical are used to infer the dynamic surface tension of a rapidly moving surface. A considerable difference between the dynamic surface tension and the usual static surface tension is found for a liquid solution. However, no measurable difference is found for a pure liquid at the flow rates used in our experiments.

Type
Research Article
Copyright
© 1981 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

Antoniades, M. G. & Lin, S. P. 1980 J. Colloid Interface Sci. 77, 583.
Brown, D. R. 1961 J. Fluid Mech. 10, 297.
Lin, S. P. 1981 J. Fluid Mech. 104, 111.
Rayleigh, Lord 1893 Proc. Lond. Math. Soc. 15, 69.
Savart, F. 1833 Annls Chim. Phys. 59, 55 and 113.
Thomas, W. D. E. & Potter, L. 1975 J. Colloid Interface Sci. 50, 397.
Taylor, G. I. 1959 Proc. Roy. Soc. A 253, 289.
Taylor, G. I. 1960 Proc. Roy. Soc. A 259, 1.