Proceedings of the Indian Academy of Sciences - Section A

, Volume 72, Issue 3, pp 134-143

First online:

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

  • S. Narasimha MurthyAffiliated withDepartment of Applied Mathematics, Indian Institute of Science

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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.