Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Nonlinear break-up of magnetohydrodynamic jet

  • 30 Accesses

  • 2 Citations

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 to check access.

References

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

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

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

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

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

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

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

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

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

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

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

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

Download references

Author information

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

Keywords

  • Magnetic Field
  • Surface Wave
  • Nonlinear Analysis
  • Evolution Curve
  • Asymmetric Pattern