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Magnetized Bounded Annular Fluid Cylinder Instability with Variable Field

Ahmed E. Radwan, Mohamed Kh. Hadhood


The Hydromagnetic oscillation of bounded annular fluid cylinder having a very dense liquid (tar) pervaded by variable magnetic field is discussed. The eigenvalue relation is derived, discussed and the results interpreted physically. Several published stability criteria of different modes are obtained as limiting cases and investigated. This has been done for all
axisymmetric and non-axisymmetric modes of perturbation. The magnetic fields have stabilizing effect under certain restrictions. The surface tension is stabilizing for short wavelengths while it is destabilizing for long wavelengths.


Hydromagnetic, Annular fluid cylinder.

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