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Calculation of the decay rate of oscillations of a low-viscosity fluid rotating in a cylindrical vessel

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Abstract

A study is made of the problem of small oscillations of a low-viscosity fluid rotating under conditions of weightlessness in a cylindrical vessel. For fixed volume of the fluid and different values of the angular velocity and the wetting angle the decay rate and frequency of the characteristic oscillations are calculated. For an ideal fluid, the shapes of the characteristic oscillations of the free surface of the fluid are also calculated.

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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.

    Google Scholar 

  2. N. D. Kopachevskii and N. K. Radyakin, “On small oscillations of an ideal capillary fluid rotating in an axisymmetric vessel,” in: Problems of Computational Mathematics and Technology [in Russian], Naukova Dumka, Kiev (1976), pp. 3–25.

    Google Scholar 

  3. N. D. Kopachevskii, “Application of S. L, Sobolev's method in the problem of the oscillations of an ideal rotating capillary fluid,” Zh. Vychisl, Mat. Mat. Fiz.,16, 426 (1976).

    Google Scholar 

  4. M. I. Vishik and L. A. Lyusternik, “Regular degeneracy and boundary layers for linear differential equations with a small parameter,” Usp. Mat. Nauk,12, 3 (1957).

    Google Scholar 

  5. F. L. Chernous'ko, Motion of Solid Bodies with Cavities Containing a Viscous Fluid [in Russian], Moscow (1968), p. 232.

  6. N. K. Radyakin, “Determination of the oscillation frequencies of a low-viscosity fluid rotating in an axisymmetric vessel,” Izv. Akad. Nauk SSSR, Mekh. Zhidk., Gaza, No. 2, 128 (1980).

    Google Scholar 

  7. S. L. Sobolev, “A new problem of mathematical physics,” Izv. Akad, Nauk SSSR, Ser. Mat.,18, 3 (1964).

    Google Scholar 

  8. S. L. Sobolev, “Motion of a symmetric top with a fluid-filled cavity,” Zh. Eksp, Teor. Fiz., No. 3, 20 (1960).

    Google Scholar 

  9. M. P. Dyachenko, “Oscillations of a heavy symmetric top with cavity partly filled with fluid,” Candidate's Dissertation [in Russian], Institute of Mechanics, Kiev (1972), p. 120.

    Google Scholar 

  10. N. D. Kopachevskii, “Existence of surface waves in the problem of normal oscillations of an ideal fluid rotating in a partly filled vessel,” Funktsional. Analiz i Ego Prilozhen.,12, 84 (1978).

    Google Scholar 

  11. N. D. Kopachevskii, “Small motions and normal oscillations of a system of rotating heavy viscous fluids,” Preprint No. 33 [in Russian], Physicotechnical Institute of Low Temperatures, Khar'kov (1978), p. 54.

    Google Scholar 

  12. S. G. Mikhlin, Numerical Realization of Variational Methods [in Russian], Nauka, Moscow (1966), p. 432.

    Google Scholar 

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Authors and Affiliations

  1. Khar'kov

    N. K. Radyakin

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  1. N. K. Radyakin
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 85–92, July–August, 1983.

I thank N. D. Kopachevskii for assistance in writing the paper and for helpful comments.

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Radyakin, N.K. Calculation of the decay rate of oscillations of a low-viscosity fluid rotating in a cylindrical vessel. Fluid Dyn 18, 566–573 (1983). https://doi.org/10.1007/BF01090622

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  • DOI: https://doi.org/10.1007/BF01090622

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