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Impact of a circular disk and washer on a fluid in a cylindrical vessel

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Abstract

The solution of the problem of the axisymmetric motion of an ideal incompressible fluid in a cylindrical vessel of finite depth is obtained for small vibrations of a flexible circular disk and washer (disk with centered hole) on the surface of the fluid. On the basis of this solution the virtual mass is determined as a function of the dimensions of the vessel, disk and washer for the special case of a rigid nondeformable disk and washer.

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References

  1. L. I. Sedov,Plane Problems of Hydrodynamics and Aerodynamics [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  2. N. A. Veklich and B. M. Malyshev, “Plane problems of impact of a plate on a fluid strip of rectangular cross section,”Prikl. Mat. Mekh.,52, 511 (1988).

    Google Scholar 

  3. I. I. Vorovich and V. I. Yudovich, “Impact of a circular disk on a fluid of finite depth,”Prikl. Mat. Mekh.,21, 525 (1957).

    Google Scholar 

  4. M. I. Chebakov, “Impact of a circular disk on a shallow fluid,”Prikl. Mat. Mekh.,38, 675 (1974).

    Google Scholar 

  5. V. V. Popov,Some Hydrodynamic Problems of Axisymmetric Flow with Free Boundaries [in Russian], author's summary of doctoral thesis, Kiev (1979).

  6. N. M. Borodachev and F. H. Borodacheva, “Allowance for the wall effect on the impact of a circular disk on a liquid,”Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 1, 177 (1967).

  7. I. S. Riman and R. L. Kreps, “Virtual masses of bodies of different shape,”Tr. TsAGI, No. 635, 47 (1947).

    Google Scholar 

  8. N. A. Veklich, “Axisymmetric problem of impact of an elastic disk on a liquid,”Izv. Ros. Akad. Nauk, Mekh. Tverd. Tela, No. 5, 175 (1992).

  9. Ya. S. Uflyand,Integral Transforms in Problems of Elasticity Theory [in Russian], Nauka, Leningrad (1967).

    Google Scholar 

  10. P. P. Zabreiko, A. I. Koshelev, A. M. Krasnosel'skii et al.,Integral Equations [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  11. A. Gray and G. B. Mathews,A Treatise on Bessel Functions and Their Applications to Physics, Macmillan, London (1922).

    Google Scholar 

  12. I. S. Gradshtein and I. M. Ryzhik,Tables of Integrals, Series, and Products, Academic Press, New York (1965).

    Google Scholar 

  13. N. A. Veklich, “Axisymmetric problem of impact on a fluid cylinder,”Sib. Fiz. Tekn. Zh., No. 3, 66 (1991).

  14. N. A. Veklich and B. M. Malyshev, “Plane problems of impact on a fluid strip,” in:Interaction of Plates and Shells with Liquids and Gases [in Russian], Izd-vo MGU, Moscow (1984).

    Google Scholar 

  15. N. A. Veklich and B. M. Malyshev, “Apparent mass of a rectangular vessel filled with liquid,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 185 (1980).

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Authors
  1. N. A. Veklich
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Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 103–111, January–February, 1995.

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Veklich, N.A. Impact of a circular disk and washer on a fluid in a cylindrical vessel. Fluid Dyn 30, 85–92 (1995). https://doi.org/10.1007/BF02029931

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  • DOI: https://doi.org/10.1007/BF02029931

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