Skip to main content
Log in

Nonlinear break-up of magnetohydrodynamic jet

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

A nonlinear analysis is presented to take into account the effect of a magnetic field on the capillary instability of a fluid jet, using the method of strained coordinates. The growth of the surface waves is calculated for wave number less than the critical wave number. A third-order solution shows that, as a result of the interaction among the lower harmonics, not only a higher harmonic appears; but there is also a feed back into the fundamental harmonic. It is important to note that the magnetic field has the effect of making the evolution curves of the disturbances symmetric about the axis as compared to the highly asymmetric pattern which prevails in its absence.

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

Access this article

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

  • Chandrasekhar, S.: 1961,Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford.

    Google Scholar 

  • Chhabra, R. K. and Trehan, S. K.: 1991,Astrophys. Space. Sci. 181, 283 (Paper II).

    Google Scholar 

  • Kakutani, T., Inoue, Y., and Kan, T.: 1974,J. Phys. Soc. Japan 37, 529.

    Google Scholar 

  • Malik, S. K., Welsh, W., and Singh, M.: 1982,J. Math. Anal. Appl. 89, 370.

    Google Scholar 

  • Nayfeh, A. H.: 1970,Phys. Fluids 13, 841.

    Google Scholar 

  • Nayfeh, A. H. and Hassan, S. D.: 1971,J. Fluid Mech. 48, 463.

    Google Scholar 

  • Poincaré, H.: 1892,Les méthodes nouvelles de la mécanique céleste 1, Dover Publ., New York.

    Google Scholar 

  • Rayleigh, Lord: 1945,The Theory of Sound, Vol. II, Dover Publ., New York.

    Google Scholar 

  • Trehan, S. K. and Lardner, R. W.: 1983,Astrophys. Space. Sci. 96, 261 (Paper I).

    Google Scholar 

  • Trehan, S. K. and Lardner, R. W.: 1989,Int. J. Engg. Sci. 27, No. 9, 1107.

    Google Scholar 

  • Wang, D. P.: 1968,J. Fluid Mech. 34, 299.

    Google Scholar 

  • Yuen, M. G.: 1968,Fluid Mech. 33, 151.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Department of Chemical Engieering and Technology

Department of Mathematics.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chhabra, R.K., Trehan, S.K. Nonlinear break-up of magnetohydrodynamic jet. Astrophys Space Sci 183, 37–50 (1991). https://doi.org/10.1007/BF00643016

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00643016

Keywords

Navigation