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Stability of the equilibrium of a capillary fluid in a horizontal slit

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Abstract

The stability of axisymmetric shapes of equilibrium of a capillary fluid between two horizontal plates is investigated. It is shown that stability is lost with respect to axisymmetric perturbations. The boundaries of the stability region are calculated in the case when the wetting angles on the lower and upper plates are the same.

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Literature cited

  1. V. G. Babskii, N. D. Kopachevskii, A. D. Myshkis, L. A. Slobozhanin, and A. D. Tyuptsov, Hydrodynamics of Weightlessness [in Russian], Nauka, Moscow (1976), p. 504.

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  2. N. N. Moiseev and V. V. Rumyantsev, Dynamics of a Body with Cavities Containing a Liquid [in Russian], Nauka, Moscow (1965), p. 439.

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  3. E. F. Beckenbach and R. Bellman, Inequalities, Springer, Berlin (1965).

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Authors and Affiliations

  1. Khar'kov

    I. D. Borisov

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  1. I. D. Borisov
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 172–175, September–October, 1983.

I should like to thank M. A. Svechkareva for assistance in the calculations and A. D. Tyuptsov for discussing the results and for helpful comments.

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Borisov, I.D. Stability of the equilibrium of a capillary fluid in a horizontal slit. Fluid Dyn 18, 806–809 (1983). https://doi.org/10.1007/BF01091008

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  • DOI: https://doi.org/10.1007/BF01091008

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