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One-dimensional self-similar solution of the dynamics of axisymmetric slender liquid bridges

Published online by Cambridge University Press:  20 April 2006

D. Rivas  and
J. Meseguer
D. Rivas
Affiliation:
Laboratorio de Aerodinámica, E.T.S.I. Aeronáuticos, Universidad Politécnica, Madrid, Spain
J. Meseguer
Affiliation:
Laboratorio de Aerodinámica, E.T.S.I. Aeronáuticos, Universidad Politécnica, Madrid, Spain
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Abstract

Liquid bridges appear in a large variety of industrial processes such as the so-called floating-zone technique, used in recent years in crystal growth and in purification of high-melting-point materials.

In this paper the dynamics of axisymmetric, slender, viscous liquid bridges having volume close to the cylindrical one, and subjected to a small gravitational field parallel to the axis of the liquid bridge, is considered within the context of one-dimensional theories. Although the dynamics of liquid bridges has been treated through a numerical analysis in the inviscid case, numerical methods become inappropriate to study configurations close to the static stability limit because the evolution time, and thence the computing time, increases excessively. To avoid this difficulty, the problem of the evolution of these liquid bridges has been attacked through a nonlinear analysis based on the singular perturbation method and, whenever possible, the results obtained are compared with the numerical ones.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 138 , January 1984 , pp. 417 - 429
Copyright
© 1984 Cambridge University Press

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References

Bogy, D. B. 1979 Drop formation in a circular liquid jet Ann. Rev. Fluid Mech. 11, 207–228.Google Scholar
Green, A. E. 1976 On the non-linear behaviour of fluid jets Intl J. Engng Sci. 14, 49–63.Google Scholar
Lee, H. C. 1974 Drop formation in a liquid jet IBM J. Res. Dev. 18, 364–369.Google Scholar
Martinez, I. 1983 Stability of axisymmetric liquid bridges. In ESA Special SP-191, pp. 267–273. Paris: ESA.
Meseguer, J. 1983 The breaking of axisymmetric slender liquid bridges J. Fluid Mech. 130, 123–151.Google Scholar
Meseguer, J., Sanz, A. & Rivas, D. 1983 The breaking of axisymmetric non-cylindrical liquid bridges. In ESA Special SP-191, pp. 261–265. Paris: ESA.
Stoker, J. J. 1966 Nonlinear Vibrations, vol. II. Interscience.
Vega, J. M. & Perales, J. M. 1983 Almost-cylindrical isorotating liquid bridges for small Bond numbers. In ESA Special SP-191, pp. 247–252. Paris: ESA.
Weber, C. 1931 Zum Zerfall eines Flüssigkeitsstrahles Z. angew. Math. Mech. 11, 136–141.Google Scholar