Magnetogravitodynamic instability of a cylindrical fluid jet acting upon a general, varying magnetic field

Astronomy and Astrophysics – Astrophysics

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Conducting Fluids, Fluid Jets, Gravitational Effects, Magnetohydrodynamic Stability, Electromagnetic Fields, Inertia, Perturbation Theory

Scientific paper

The instability of a self-gravitating cylinder subjected to a longitudinal magnetic field is analyzed for vacuum conditions with varying ambient magnetic fields and inertial forces. The work of Chandrasekhar (1981) is extended to develop a general eigenvalue relation in which: (1) small axisymmetric disturbances make the jet gravitationally unstable; and (2) stabilizing and destabilizing influences exist in the electromagnetic force due to the nonuniform nature of the pervading magnetic field. For axisymmetric and nonaxisymmetric disturbances, the vacuum field attains its maximum destabilizing influence when all the vacuum fields are orthogonal. The Lorentz force can have a stabilizing influence or enhance the gravitational instability depending on the state, but magnetic fields cannot suppress the gravitational instability of sufficiently long waves.

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