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Stability of Compressible Magnetized Hollow Cylinder Pervaded by Azimuthal Field

Radwan A. E., Elazab N. E., Hussien N. S.

Mechanics and Mechanical Engineering

2005

Vol. 9, nr 2

47--56

The stability of compressible magnetized hollow cylinder (gas jet embedded into a liquid) pervaded by varying azimuthally magnetic field has been developed for all symmetric m = 0 and asymmetric m ≠ 0 perturbation modes (m transverse wavenumber). The problem is formulated well, apart from the singular solutions the different variables are determined, the stability criterion is derived and discussed. The axial field in the liquid region is stabilizing for all short and long wavelengths and that effect is independent of m values. In contrast, the azimuthal field in the gas is destabilizing or not according to restrictions and m values. The capillary force along the gas - liquid interface is destabilizing only for m = 0, for small longitudinal wavenumber and stabilizing in the rest. The compressibility has a strong stabilizing effect for all m ≥ 0 disturbance modes. Here the instability due to azimuthal field and the capillary force could be completely suppressed under restrictions and stability sets in.