Nonlinear break-up of magnetohydrodynamic jet
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.
KeywordsMagnetic Field Surface Wave Nonlinear Analysis Evolution Curve Asymmetric Pattern
Unable to display preview. Download preview PDF.
- 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