Skip to main content
SpringerLink
Log in

Resonant Interaction of Magnetohydrodynamic Shear Flow with Vibrations of a Thin Plate

  • PHYSICS OF MAGNETIC PHENOMENA
  • Published:
Russian Physics Journal Aims and scope

The resonant action of magnetohydrodynamic flow with velocity shear on a thin plate, leading to the appearance of elastic vibrations with characteristic wavelength, is investigated. It is shown that the presence of a magnetic field in the flow leads to a splitting of the resonant layer into two sublayers. The dispersion equation and the increment of the arising instability, possessing a maximum in the long-wave range, have been obtained and investigated.

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

References

  1. S. G. Gestrin and A. N. Sal’nikov, Russ. Phys. J., 50, No. 7, 718–722 (2007).

    Article  MATH  Google Scholar 

  2. S. G. Gestrin and E. K. Sergeeva, Russ. Phys. J., 54, No. 3, 364–370 (2011).

    Article  MATH  Google Scholar 

  3. S. G. Gestrin, A. N. Sal’nikov, and E. K. Sergeeva, Russ. Phys. J., 53, No. 1, 29–35 (2010).

    Article  MATH  Google Scholar 

  4. J. W. Miles, J. Fluid Mech., 3, 185–196 (1957).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. S. G. Gestrin and V. M. Kontorovich, Zh. Eksp. Teor. Fiz., 91, No. 3, 779–791 (1986).

    ADS  Google Scholar 

  6. S. G. Gestrin and V. M. Kontorovich, Radiofiz. Radioastron., 2, No. 4, 419– 438 (1997).

    Google Scholar 

  7. S. G. Gestrin and and V. M. Kontorovich, Radiofiz. Radioastron., 3, No. 3, 259– 272 (1998).

  8. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media, Vol. 8, Butterworth-Heinemann, London (1984).

    Google Scholar 

  9. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, Vol. 7, Butterworth-Heinemann, London (1986).

    Google Scholar 

  10. L. D. Landau and E. M. Lifshitz, Fluid Dynamics, Vol. 6, Butterworth-Heinemann, London (1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Yu. A. Gagarin Saratov State Technical University, Saratov, Russia

    S. G. Gestrin, B. B. Gorbatenko & A. S. Mezhonnova

  2. N. I. Vavilov Saratov State Agrarian University, Saratov, Russia

    S. G. Gestrin

Authors
  1. S. G. Gestrin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. B. Gorbatenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. S. Mezhonnova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. G. Gestrin.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 29–34, May, 2015.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gestrin, S.G., Gorbatenko, B.B. & Mezhonnova, A.S. Resonant Interaction of Magnetohydrodynamic Shear Flow with Vibrations of a Thin Plate. Russ Phys J 58, 616–622 (2015). https://doi.org/10.1007/s11182-015-0541-6

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-015-0541-6

Keywords

Search

Navigation