Log in

Influence of magnetic fields on taylor vortex formation in magnetic fluids

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The flow of a magnetic fluid placed inside a small gap between concentric rotating cylinders is investigated for axial, radial and azimuthal magnetic fields. An equation of motion is derived phenomenologically to describe the hydrodynamics of magnetic fluids. Studied are the changes in the critical Taylor numberT c and wave numberT c which characterize the instability of primary circular Couette flow towards Taylor vortices. It is found that all above magnetic fields have a stabilizing effect on circular Couette flow and thatT c increases or decreases, depending on the direction of the magnetic field. Besides this, the influence of the magnetic fields on the correlation length ξ0, the wave number of maximal growthk m and the linear growth rate amplitude σ0 is determined.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Rosensweig, R.E.: Ferrohydrodynamics. In: Cambridge Monographs on Mechanics and Applied Mathematics. New York: Cambridge University Press 1985

    Google Scholar 

  2. Rosensweig, R.E.: Adv. Electr. Electron Phys.48, 103 (1979)

    Google Scholar 

  3. DiPrima, R.C., Swinney, H.L.: In Hydrodynamic instabilities and the transition to turbulence. In: Topics in Applied Physics. Swinney, H.L., Gollub, J.P. (eds.), Vol. 45. Berlin, Heidelberg, New York: Springer 1981

    Google Scholar 

  4. Andereck, C.D., Liu, S.S., Swinney, H.L.: J. Fluid Mech.164, 155 (1986)

    Google Scholar 

  5. Stierstadt, K.: Private communications

  6. Berkovsky, B.M., Veretenov, V.Yu., Malyavin, S.M.: Odinnadtsatoe rizhskoe soveshchanie po magnitnoi gidrodinamike (11th Riga Conference on Magnetohydrodynamics) Riga, Latvian SSR, 1984 Vol. 3, pp. 115–118. Riga, USSR, Institut Fisiki AN Latviiskoj SSR 1984 (in russian)

    Google Scholar 

  7. Shliomis, M.I.: Sov. Phys. JETP34(6), 1292 (1972)

    Google Scholar 

  8. Berkovsky, B.M., Vislovich, A.N., Kashevsky, B.E.: IEEE Transact. Mag. Vol MAG-16 (No. 2), 329 (1980)

    Google Scholar 

  9. Kroh, H., Felderhof, B.U.: Z. Phys. B — Condensed Matter66, 1 (1987)

    Google Scholar 

  10. Shizawa, K., Tanahashi, T.: Talk given at the 4th International Conference von Magnetic Fluids Tokyo 1986; J. Magn. Magn. Mater.65, 181 (1987); (to be published)

  11. Shliomis, M.I.: Sov. Phys. Usp.17(2), 153 (1974)

    Google Scholar 

  12. Jansons, K.: J. Fluid. Mech.137, 187 (1983)

    Google Scholar 

  13. Frenkel, J.I.: The kinetic theory of liquids. New York: Dover 1955

    Google Scholar 

  14. Chapman, S., Cowling, T.G.: The mathematical theory of nonuniform gases. New York: Cambridge University Press 1961

    Google Scholar 

  15. Lücke, M., Mihelcic, M., Wingerath, K., Pfister, G.: J. Fluid. Mech.140, 343 (1984)

    Google Scholar 

  16. Kittel, C.: Introduction to solid state physics. 6th Ed., pp. 361–368 (1986). New York: John Wiley & Sons

    Google Scholar 

  17. Rosensweig, R.E.: J. Appl. Phys.57(1), 4259 (1985)

    Google Scholar 

  18. Weser, T., Stierstadt, K.: Z. Phys. B — Condensed Matter59(3), 257 (1985)

    Google Scholar 

  19. Brenner, H.: Int. J. Eng. Sci.22, 645 (1984)

    Google Scholar 

  20. Kuhlmann, H.: Phys. Rev. A32(3), 1703 (1985)

    Google Scholar 

  21. Chorin, A.J.: J. Comp. Phys.2, 12 (1967)

    Google Scholar 

  22. Lücke, M., Mihelcic, M., Wingerath, K.: Phys. Rev. A31(1), 396 (1985)

    Google Scholar 

  23. Dominguez-Lerma, M.A., Ahlers, G., Cannell, D.S.: Phys. Fluids27(4), 856 (1984)

    Google Scholar 

  24. Zahn, M., Rosensweig, R.E.: J. Magn. Magn. Mater.65, 293 (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Niklas, M. Influence of magnetic fields on taylor vortex formation in magnetic fluids. Z. Physik B - Condensed Matter 68, 493–501 (1987). https://doi.org/10.1007/BF01471080

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01471080

Keywords

Navigation