Skip to main content
SpringerLink
Log in

Development of the Rayleigh-Taylor instability in a thin layer of a magnetic fluid subjected to an orthogonal magnetic field

  • Gases and Liquids
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

A thin layer of a Newtonian magnetic fluid wetting the faced-down surface of a horizontal magnetized plate in a vertical magnetic field is considered. The lower boundary of the layer is the interface with a stationary gas. The effect of magnetic forces on the development of the Rayleigh-Taylor instability is considered in the linear formulation of the long-wave approximation of ferrohydrodynamic equations.

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. B. Abou, J.-E. Wesfreid, and S. Roux, J. Fluid Mech. 416, 217 (2000).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. Ch.-Yao. Chen and Z.-Y. Cheng, Phys. Fluids 20, 054105 (2008).

    Article  ADS  Google Scholar 

  3. M. D. Cowley and R. E. Rosensweig, J. Fluid Mech. 30, 671 (1967).

    Article  MATH  ADS  Google Scholar 

  4. R. E. Rosensweig, Ferrohydrodynamics (Cambridge Univ., Cambridge, 1985; Mir, Moscow, 1989).

    Google Scholar 

  5. A. G. Boudouvis, J. L. Puchalla, l. E. Scriven, and R. E. Rosensweig, J. Magn. Magn. Mater. 65, 307 (1987).

    Article  ADS  Google Scholar 

  6. V. G. Bashtovoi, M. S. Krakov, and A. G. Reks, Magn. Gidrodin., No. 1, 19 (1985).

  7. B. M. Berkovskii, V. F. Medvedev, and M. S. Krakov, Magnetic Fluids: Engineering Applications (Khimiya, Moscow, 1989; Oxford Science Publ., Oxford, 1993).

    Google Scholar 

  8. M. Zahn, J. Nanopart. Res. 3, 73 (2001).

    Article  Google Scholar 

  9. M. Fermigier, L. Limat, J. E. Wesfreid, P. Boudinet, and C. Quilliet, J. Fluid Mech. 236, 349 (1992).

    Article  MATH  ADS  Google Scholar 

  10. L. I. Sedov, A Course in Continuum Mechanics (Nauka, Moscow, 1983; Wolters-Noordhoff, Groningen, 1972), Vol. 1.

    Google Scholar 

  11. A. Oron, S. H. Davis, and S. G. Bankoff, Rev. Mod. Phys. 69, 931 (1997).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Research Institute of Mechanics, Moscow State University, Moscow, 119192, Russia

    V. M. Korovin

Authors
  1. V. M. Korovin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. M. Korovin.

Additional information

Original Russian Text © V.M. Korovin, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 9, pp. 44–51.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Korovin, V.M. Development of the Rayleigh-Taylor instability in a thin layer of a magnetic fluid subjected to an orthogonal magnetic field. Tech. Phys. 55, 1275–1282 (2010). https://doi.org/10.1134/S1063784210090070

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784210090070

Keywords

Search

Navigation