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

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Abstract

The instability of a fluid cylinder under the action of self-gravitating, inertia, and electromagnetic forces is developed. A general eigenvalue relation is derived studied analytically and the results are confirmed numerically. The jet is gravitationally unstable for small axisymmetric disturbances and stable for all other disturbances. The electromagnetic force has stabilizing and destabilizing influences not only in the axisymmetric mode but also in the non-axisymmetric disturbances. This is due to the fact that the pervading magnetic field is non-uniform. The vacuum field attains its maximum destabilizing influence if the perturbed and unperturbed vacuum fields are orthogonal whether the disturbance is axisymmetric or not. The Lorentz force for some states has the character of enlarging the gravitational unstable domain and decreasing the stable regions in all possible modes of perturbations. In other states the Lorentz force is totally stabilizing but no magnetic field, however strong, can suppress the gravitational instability because the gravitational instability of sufficiently long waves will persist.

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Authors and Affiliations

  1. Depatment of Mathematics, Faculty of Science, Ain-Shams University, Abbassia, Cairo, Egypt

    Ahmed E. Radwan

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  1. Ahmed E. Radwan
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Radwan, A.E. Magnetogravitodynamic instability of a cylindrical fluid jet acting upon a general, varying magnetic field. Astrophys Space Sci 182, 85–96 (1991). https://doi.org/10.1007/BF00646444

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  • DOI: https://doi.org/10.1007/BF00646444

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