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Oscillations of a rotary fluid flowing out of a closed vessel

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Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

Consideration is given to the problem of the proper motion of a rotary fluid that fills the entire cylindrical tank in the presence of outflow through a rigid bottom. The problem is solved in a quasistationary formulation within the framework of the ideal-fluid model with allowance for hydraulic losses in the flow of the fluid through the bottom of the vessel. The spectrum of eigenvalues is investigated and the characteristics of wave motions of the fluid are revealed; the results of calculating the wave numbers and the complex attenuation factor are given.

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References

  1. K. S. Kolesnikov,Longitudinal Vibrations of a Rocket with a Liquid-Propellant Rocket Engine [in Russian], Moscow (1971).

  2. S. L. Sobolev,Zh. Prikl. Mekh. Tekh. Fiz., No. 3, 20–55 (1960).

  3. T. I. Zelenyak,Selected Problems of Qualitative Theory of Equations with Partial Derivatives [in Russian], Novosibirsk (1970).

  4. Yu. N. Grigor’ev,Dinam. Sploshn. Sredy (Novosibirsk), No. 17, 12–18 (1974).

  5. N. D. Kopachevskii and N. K. Radyakin, in:Problems of Computational Mathematics and Technology [in Russian], Kiev (1976), pp. 3–25.

  6. V. S. Gontkevich,Gidromekhanika, Respubl. Mezhvuz. Sborn. (Kiev), Issue 20, 52–58 (1972).

  7. R. V. Rvalov,Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 81–88 (1973).

  8. N. D. Kopachevskii,Small Motions and Normal Modes of a System of Heavy Viscous Fluids, Preprint of the Physicotechnical Institute of Low Temperatures [in Russian], Kharkov (1978).

  9. V. V. Orlov and A. N. Temnov,Modern Methods of the Theory of Functions and Adjacent Problems, Voronezh Winter Math. School, Book of Abstracts [in Russian], Voronezh (1997).

    Google Scholar 

  10. T. I. Watson,Theory of Bessel Functions [Russian translation], Part 1, Moscow (1949).

  11. N. D. Kopachevskii and A. D. Myshkis,Zh. Vych. Mat. Mat. Fiz.,6, 1054–1063 (1966).

    Google Scholar 

  12. N. G. Askerov,One Class of Boundary-Value Problems with a Parameter in the Boundary Condition, Candidate Dissertation in the Physical-Mathematical Sciences, Voronezh (1963).

    Google Scholar 

  13. A. I. Markushevich,Theory of Analytical Functions [in Russian], Moscow-Leningrad (1950).

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Translated from Inzhenerno Fizicheskii Zhurnal, Vol. 73, No. 1, pp. 165–173, January–February, 2000.

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Orlov, V.V., Temnov, A.N. Oscillations of a rotary fluid flowing out of a closed vessel. J Eng Phys Thermophys 73, 165–174 (2000). https://doi.org/10.1007/BF02681692

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