Magnetohydrodynamic instability of Kelvin–Helmholtz with annulus cylindrical interfaces pervaded by helical varying magnetic fields

摘要

The MHD instability of an annulus fluid having a very dense liquid (tar) mantle cylinder immersed in a bounded tenuous medium pervaded by a helical varying magnetic fields has been developed. A general eigenvalue relation is derived, discussed and the results are interpreted physically. Several published stability criteria of different models are obtained as limiting cases and investigated. This has been done for all axisymmetric and non-axisymmetric modes of perturbation. The annulus model is unstable due to the streaming influence and that of the helical tenuous varying magnetic field. Several stability cases under restrictions are discussed. The results are, moreover, confirmed by studying the asymptotic behavior of the general stability criterion.