On the problem of impact interaction of a solid and a liquid with free surface under flow separation

Authors

  • N. V. Polyakov Oles’ Honchar Dnipropetrovsk National University
  • O. G. Goman Oles’ Honchar Dnipropetrovsk National University
  • V. A. Katan Oles’ Honchar Dnipropetrovsk National University

DOI:

https://doi.org/10.15407/dopovidi2016.08.046

Keywords:

coefficient of added mass, flow separation, impact interaction

Abstract

A general method of solution to the mixed problems of hydrodynamic impact with the inertial flow separation of a liquid in a two-dimensional model with the use of the apparatus of singular integrals in sense of the Hadamard finite part is introduced.

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References

Grigoljuk E. I., Gorshkov A. G. Interaction of elastic constructions and fluid (impact and immersion), Leningrad: Sudostroyenie, 1976 (in Russian).

Sedov L. I. Plane problems of hydrodynamics and aerodynamics, Moscow, Nauka, 1980 (in Russian).

Norkin M. V. Mixed problems of the gydrodynamic impact, Rostov na Donu: Izd. CVVR, 2007 (in Russian). PMid:18566640

Mossakovskij V. I., Rvachev V. L. Appl. Mat. Mech., 1958, 22, No 6: 847–849 (in Russian).

Goman O. G., Poljakov N. V. Hudromechanics and elastic theory, 1975, No 25: 19–23 (in Russian).

Poljakov N. V. Dynamics and strength heavy machines, 1980, No 5: 129–131 (in Russian).

Goman O. G., Popov V. V. Dopov. AN UkrSSR Ser. A, 1981, No 4: 36–38 (in Russian).

Katan V. A. Numerical method of the solution for impact problems of hydrodynamic, Dnipropetrovsk: IDU, 1984: 1–21 (in Russian).

Poljakov N. V. The methods of the solution nonlinear boundary problems. Entry problems, Dnipropetrovsk: IDU, 2005 (in Ukrainian).

Poljakov M. V. The some problems of the continuum mechanics, Dnipropetrovsk: VDU, 2006 (in Ukrainian). PMid:16894214

Goman O. G., Katan V. A. Visn. DNU. Ser. Mechanics, 2013, No 5(21): 191–205. (In Russian).

Katan V. A. Visn. DNU. Ser.: Mechanics, 2014, 22, No 5: 63–72 (in Russian).

Mushelishvili N. I. Singular integral equations, Moscow: Nauka,1966 (in Russian).

Hadamar G. The Coshi’s problem for linear partial differential hyperbolic equations, Moscow: Nauka,1978 (in Russian).

General theory aerodynamic of the superior speeds. By Y. R. Sirs’s redaction, Moscow: Voenizdat, 1962 (in Russian).

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Published

15.11.2024

How to Cite

Polyakov, N. V., Goman, O. G., & Katan, V. A. (2024). On the problem of impact interaction of a solid and a liquid with free surface under flow separation . Reports of the National Academy of Sciences of Ukraine, (8), 46–52. https://doi.org/10.15407/dopovidi2016.08.046

Issue

No. 8 (2016): Reports of the National Academy of Sciences of Ukraine

Section

Mechanics

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