Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-27T12:46:22.495Z Has data issue: false hasContentIssue false

Experiments on liquid jet instability

Published online by Cambridge University Press:  29 March 2006

E. F. Goedde
Affiliation:
Westinghouse Corporation, Sunnyvale, California
M. C. Yuen
Affiliation:
Northwestern University, Evanston, Illinois

Abstract

The capillary instability of vertical liquid jets of different viscosities have been examined by imposing audio-frequency disturbances. Real time sequences of photographs allow a direct measurement of growth rates of disturbances of various wavelengths. Results show that in general non-linear effects dominate the growth processes. This is in agreement with Yuen's analysis. The growth rate of the difference between the neck and the swell, however, agrees well with the linearized analysis of Rayleigh and Chandrasekhar. The non-linear effect causes a liquid jet to disintegrate into drops with ligaments in between. The sizes of the ligaments decrease with increasing wave-number. The subsequent roll up of the ligament into droplet, the eventual coalescing of the droplet with the main drop and drop oscillation have also been studied.

Type
Research Article
Copyright
© 1970 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

Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford: Clarendon Press.
Crane, L., Birch, S. & McCormack, P. O. 1964 The effect of mechanical vibration on the break-up of a cylindrical water jet in air. Brit. J. Appl. Phys. 15, 743750.Google Scholar
Crane, L., Birch, S. & McCormack, P. O. 1965 An experimental and theoretical analysis of cylindrical liquid jets subjected to vibration. Br. J. Appl. Phys. 16, 395408.Google Scholar
Donnelly, R. J. & Glaberson, W. 1966 Experiment on capillary instability of a liquid jet. Proc. Roy. Soc. Lond. A 290, 547556.Google Scholar
Lamb, H. 1932 Hydrodynamics (6th ed.). New York: Dover.
Rayleigh, Lord 1945 The Theory of Sound, vol. ii (2nd ed.). New York: Dover.
Reid, W. H. 1960 The oscillations of a viscous liquid drop. Quart. Appl. Math. 18, 8689.Google Scholar
Wang, D. P. 1968 Finite amplitude effect on the stability of a jet of circular cross-section. J. Fluid Mech. 34, 299313.Google Scholar
Yuen, M. C. 1968 Non-linear capillary instability of a liquid jet. J. Fluid Mech. 33, 151163.Google Scholar