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Stability of a cylindrical plasma in the presence of a monotonic field—II

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Abstract

The stability of an incompressible inviscid, perfectly conducting cylindrical plasma against azimuthal disturbances in the presence of a monotonic decreasing magnetic field having a constant pitch is discussed by using energy principle. The results obtained by this principle are compared form = 1 mode (which is a dangerous mode in which there is a lateral shift of the entire column) with that obtained by normal mode analysis. It is found thatm = 1 mode is always unstable. Further, an axial line current, external axial field and the surface tension tend to stabilisem ≠ modes.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Science, Bangalore-12, India

    S. Narasimha Murthy

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  1. S. Narasimha Murthy
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Communicated by Dr. P. L. Bhatnagar,f.a.sc.

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Murthy, S.N. Stability of a cylindrical plasma in the presence of a monotonic field—II. Proc. Indian Acad. Sci. 72, 134–143 (1970). https://doi.org/10.1007/BF03049843

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  • DOI: https://doi.org/10.1007/BF03049843

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