Skip to main content
SpringerLink
Log in

On the determination of nonlinear oscillations of a liquid in a circular cylinder sector

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The main hydrodynamic coefficients of equations, describing large oscillations of an ideal incompressible and homogeneous liquid in tanks having the form of a cylindrical sector are calculated. Nonlinear oscillations of a liquid in cylindrical containers have been investigated in [1–3]. Here we use the method of solving some nonlinear problems of the oscillations of an ideal liquid in arbitrary containers, proposed in [4]. The dependence of the calculated coefficients on the geometrical parameters of the tank, which is important in practical applications, is analyzed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  1. G. S. Narimanov, On the Motion of a Container Partially Filled with Liquid. Role of Large Motions of the Liquid, Prikl. Matem. i Mekham.,21, No. 4 (1957).

  2. N. N. Moiseev and A. A. Petrov, Numerical Methods of Computation of Eigenfrequencies of a Bounded Volume of Liquid [in Russian], VTs AN SSSR (1965).

  3. V. I. Stolbetsov, On Equations of Nonlinear Oscillations of a Cavity Partially Filled with a Liquid, Izv. AN SSSR, Mekhan. Zhidk. i Gaza, No. 2 (1969).

  4. I. G. Gataullin and V. I. Stolbetsov, On Large Oscillations of a Liquid in Moving Cavities, Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 6 (1969).

  5. D. E. Okhotsimskii, Theory of Motion of a Body with Cavities Partially Filled with a Liquid, Prikl. Matem. i Mekham.,20, No. 1 (1956).

  6. N. N. Moiseev, Asymptotic Methods of Nonlinear Mechanics [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  7. V. I. Stolbetsov, On Oscillations of a Liquid in a Vessel Having the Shape of a Rectangular Parallelepiped, Izv. AN SSSR, Mekhan. Zhidk. i Gaza, No. 1 (1967).

Download references

Author information

Authors and Affiliations

  1. Moscow

    I. G. Gataullin & V. I. Stolbetsov

Authors
  1. I. G. Gataullin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Stolbetsov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 124–131, September–October, 1970.

The authors thank G. S. Narimanov for attention and advice.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gataullin, I.G., Stolbetsov, V.I. On the determination of nonlinear oscillations of a liquid in a circular cylinder sector. Fluid Dyn 5, 820–825 (1970). https://doi.org/10.1007/BF01017303

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017303

Keywords

Search

Navigation