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Axisymmetric equilibrium shapes of a fluid in a toroidal vessel under conditions of weightlessness

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Abstract

The axisymmetric problem of the evolution of the free surface of a fluid during the filling of a toroidal vessel under conditions of weightlessness is considered. Despite its interest [1, 2], this topical problem of the hydrodynamics of weightlessness remains unsolved for lack of an effective method of solution. This paper employs the iteration-difference approach proposed in [3–5] for calculating simply and doubly connected axisymmetric equilibrium figures.

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Literature cited

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

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  2. V. G. Babskii, N. D. Kopachevskii, A. D. Myshkis, L. A. Slobozhanin, and A. D. Tyuptsov, “Hydromechanics of weightlessness: some unsolved problems,” in: Hydromechanics and Heat and Mass Transfer in the Weightless State [in Russian], Nauka, Moscow (1982), pp. 53–59.

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  3. B. M. Berkovskii and V. K. Polevikov, “Numerical modeling of the decay of the simply connected axisymmetric modes of a magnetic fluid,” Magn. Gidrodin., No. 4, 60 (1983).

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  4. V. L. Polevikov, “Iteration-difference method of calculating the equilibrium modes of the free surface of a fluid,” in: Third All-Union Seminar on Hydromechanics and Heat and Mass Transfer in the Weightless State. Abstracts of Proceedings [in Russian], Chernogolovka (1984), pp. 100–103.

  5. V. K. Polevikov and V. M. Denisenko, “Numerical investigation of the equilibrium modes of a drop rotating in a gravitational field,” Vestn. Beloruss. Gos. Univ. Ser. 1, No. 2, 37 (1985).

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Authors and Affiliations

  1. Minsk

    A. M. Budnik & V. K. Polevikov

Authors
  1. A. M. Budnik
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  2. V. K. Polevikov
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 154–156, November–December, 1986.

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Budnik, A.M., Polevikov, V.K. Axisymmetric equilibrium shapes of a fluid in a toroidal vessel under conditions of weightlessness. Fluid Dyn 21, 976–978 (1986). https://doi.org/10.1007/BF02628036

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  • DOI: https://doi.org/10.1007/BF02628036

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