Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ap%26ss..79..379k&link_type=abstract
Astrophysics and Space Science, vol. 79, no. 2, Oct. 1981, p. 379-386. Research supported by the Council of Scientific and Indu
Astronomy and Astrophysics
Astrophysics
4
Astronomical Models, Cylindrical Bodies, Gravitational Fields, Interstellar Magnetic Fields, Magnetic Field Configurations, Spiral Galaxies, Boundary Value Problems, Galactic Structure, Magnetic Effects, Perturbation Theory, Stability
Scientific paper
The effect of a helical magnetic field on the stability of an infinitely conducting, inviscid, incompressible and self-gravitating cylinder is investigated for axisymmetric perturbations. Calculations are extensions of investigations by Trehan and Reid (1958) and Trehan and Singh (1978) to include the self-gravitational forces. Numerical solutions are derived for the roots of the dispersion relation, and the stability parameter is plotted against the nondimensional wave number for a given magnetic field (H-asterisk = 0.025). The configuration is monotonically unstable for wavenumbers with less than a critical value, and critical wavenumber and growth rates are suppressed by increase in the helicity of the field. The ambient magnetic field has a stabilizing effect, and it is concluded that helical magnetic fields improve the stability of an infinite cylindrical configuration over a uniform axial magnetic field.
Karnik Alka
Talwar S. P.
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