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Influence of the boundary of a column of incompressible liquid in investigating axisymmetric oscillations of a solid sphere in a cavity

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Abstract

Axisymmetric oscillations of a rigid spherical body in a column of ideal incompressible liquid with a plane boundary in the form of a free liquid surface or a rigid wall within a round cylindrical cavity are considered. The potential and pressure fields are plotted; expressions are obtained for the kinetic energy of the system and the hydrodynamic forces acting on the body. The resistance of the liquid to accelerated movement of the body is determined as a function of the distance to the boundary, for various parameter values. For specified oscillations of the body, the results obtained for axisymmetric conditions in a halfspace are compared with those obtained in an infinite cylindrical cavity.

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References

  1. V. T. Erofeenko, “Relation between the basic solutions of the Helmholtz and Laplace equations in cylindrical and spherical coordinates,”Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 4, 42–46 (1972).

    Google Scholar 

  2. N. E. Zhukovskii, “Apparent interaction of bodies in a limitless mass of moving liquid,” in:Collected Works [in Russian], Vol. 2, GITTL, Moscow-Leningrad (1949), pp. 474–488.

    Google Scholar 

  3. L. V. Kantorovich and V. I. Krylov,Approximate Methods of Higher Analysis [in Russian], Fizmatgiz, Moscow-Leningrad (1962).

    Google Scholar 

  4. A. A. Kostyukov,Interaction of Bodies Moving in Liquid [in Russian], Sudostroenie, Leningrad (1972).

    Google Scholar 

  5. V. D. Kubenko, “Construction of the potential of a pulsating sphere in an infinite cylindrical cavity filled with incompressible liquid,”Prikl. Mekh.,22, No. 7, 116–119 (1986).

    Google Scholar 

  6. V. D. Kubenko and L. A. Kruk, “Oscillations of an incompressible liquid in an infinite cylindrical shell containing a spherical body oscillating along its axis,”Prikl. Mekh.,30, No. 4, 31–37 (1994).

    Google Scholar 

  7. V. D. Kubenko and A. V. Kuz'mA, “Interaction of two pulsating spheres in a cylindrical, cavity filled with incompressible liquid,”Prikl. Mekh.,26, No. 5, 81–89 (1990).

    Google Scholar 

  8. V. D. Kubenko, V. D. Lakiza, V. S. Pavlovskii and N. A. Pelykh,Dynamics of Elastic Gas-Liquid Systems under Vibrational Stimuli [in Russian], Naukova Dumka, Kiev (1988).

    Google Scholar 

  9. T. N. Mikishev and V. I. Stolbtsov, “Oscillations of a body in a finite volume of viscous liquid,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 22–30 (1983).

    Google Scholar 

  10. C. B. Ling and I. Lin, “On evaluation of moments ofK v(t)/Iv(t)”,Math. Comput.,26, No. 4, 529–537 (1972).

    MATH  Google Scholar 

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev

    V. D. Kubenko

  2. KPI National Technical University, Kiev, Ukraine

    A. V. Kuz'ma

Authors
  1. V. D. Kubenko
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  2. A. V. Kuz'ma
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Translated from Prikladnaya Mekhanika, Vol. 35, No. 12, pp. 11–18, December, 1999.

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Kubenko, V.D., Kuz'ma, A.V. Influence of the boundary of a column of incompressible liquid in investigating axisymmetric oscillations of a solid sphere in a cavity. Int Appl Mech 35, 1199–1206 (1999). https://doi.org/10.1007/BF02682392

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  • DOI: https://doi.org/10.1007/BF02682392

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