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The breaking of axisymmetric slender liquid bridges

Published online by Cambridge University Press:  20 April 2006

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

Liquids held by surface tension forces can bridge the gap between two solid bodies placed not too far apart from each other. The equilibrium conditions and stability criteria for static, cylindrical liquid bridges are well known. However, the behaviour of an unstable liquid bridge, regarding both its transition toward breaking and the resulting configuration, is a matter for discussion. The dynamical problem of axisymmetric rupture of a long liquid bridge anchored at two equal coaxial disks is treated in this paper through the adoption of one-dimensional theories which are widely used in capillary jet problems.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 130 , May 1983 , pp. 123 - 151
Copyright
© 1983 Cambridge University Press

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References

Bogy, D. B. 1978 Use of one-dimensional Cosserat theory to study instability in a viscous liquid jet Phys. Fluids 21, 190–197.Google Scholar
Brown, R. A. & Scriven, L. E. 1980 The shape and stability of captive rotating drops Phil. Trans. R. Soc. Lond. A297, 51–79.Google Scholar
Da Riva, I. & Alvarez, E. 1981 A regular perturbation approach to surface tension driven flows. IAF-81–128, XXXII IAF Congress, Roma.
Da Riva, I. & Meseguer, J. 1978 On the structure of the floating zone in melting Acta Astronautica 5, 637–653.Google Scholar
Gillette, R. D. & Dyson, D. C. 1971 Stability of fluid interface of revolution between equal solid circular plates Chem. Engng J. 2, 44–45.Google Scholar
Gillis, J. 1961 Stability of a column of rotating viscous liquid Proc. Camb. Phil. Soc. 57, 152–159.Google Scholar
Green, A. E. 1976 On the nonlineal behaviour of fluid jets Int. J. Engng Sci. 14, 49–63.Google Scholar
Green, A. E. & Laws, N. 1966 A general theory of rods Proc. R. Soc. Lond. A293, 145–155.Google Scholar
Green, A. E., Naghdi, P. M. & Wenner, M. L. 1974a On the theory of rods, I. Derivations from the three-dimensional equations Proc. R. Soc. Lond. A337, 451–483.Google Scholar
Green, A. E., Naghdi, P. M. & Wenner, M. L. 1974b On the theory of rods. II. Developments by direct approach Proc. R. Soc. Lond. A337, 485–507.Google Scholar
Haynes, J. M. 1970 Stability of a fluid cylinder J. Colloid Interface Sci. 32, 652–654.Google Scholar
Lee, H. C. 1974 Drop formation in a liquid jet IBM J. Res. Dev. 18, 364–369.Google Scholar
Martínez, I. 1978a Hidrostática de la zona flotante. Tesis doctoral, Universidad Politécnica de Madrid.
Martínez, I. 1978b Floating zone – equilibrium shapes and stability criteria. In Caspar: Space Research, vol. XVIII (ed. M. J. Rycroft & A. C. Strickland), pp. 519–522. Pergamon.
Mitchell, A. R. & Griffiths, D. F. 1980 The finite difference method in partial differential equations. Wiley.
Napolitano, L. G. 1978 Microgravitational fluid dynamics. In Proc. 2nd Levich Cong. Washington.
Paddy, J. F. 1976 Capillary forces and stability in zero-gravity environments. In Material Sciences in Space, ESA SP 114. Paris: ESA.
Pimbley, W. T. 1976 Drop formation from a liquid jet: a linear one-dimensional analysis considered as a boundary value problem. IBM J. Res. Dev. 20, 148–156.
Pimbley, W. T. & Lee, H. C. 1977 Satellite droplet formation in a liquid jet IBM J. Res. Dev. 21, 21–30.Google Scholar
Rayleigh, Lord 1945 The Theory of Sound, vol. 2. Dover.
Roache, P. J. 1972 Computational Fluid Dynamics. Hermosa.
Schwabe, D., Scharmann, A., Preisser, F. & Oeder, R. 1978 Experiments on surface tension driven in floating zone melting J. Crystal Growth 43, 305–312.Google Scholar
Wuest, W. & Chun, C. H. 1980 Oscillatory Marangoni convection. IAF 80-C-113, XXXI IAF Congress, Tokyo.