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Capillary instability of a rotating jet with twisted magnetic field

Published online by Cambridge University Press:  28 March 2006

Pratibha Verma  and
Y. K. Verma
Pratibha Verma
Affiliation:
Department of Physics and Astrophysics, University of Delhi, Delhi-6, India
Y. K. Verma
Affiliation:
Department of Physics and Astrophysics, University of Delhi, Delhi-6, India
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Abstract

The stability of a uniformly rotating and infinitely conducting jet with twisted magnetic field is discussed. The dispersion relation is obtained for the non-axisymmetric perturbations; this involves a complex and implicit function of the growth rate. The complex growth rate implies that instability develops as an overstability. The effect of axial current is destabilizing for both the instabilities m = 0 and m = 1 discussed here. The effect of rotation on the stability of the jet is as follows: (a) for the m = 0 mode, rotation always has a destabilizing effect; (b) for the m = 1 mode, rotation has a stabilizing effect for very long-wave perturbations, but for short-wave perturbations it destabilizes the jet. In particular there exists a disturbance of a particular wavelength which is unaffected by the rotation of the jet.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 1 , May 1965 , pp. 33 - 38
Copyright
© 1965 Cambridge University Press

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References

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