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1 Mechanics and Mechanical Engineering

1 2005

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Hydromagnetic Capillary Stability of Streaming Finite Hollow Cylinder with Azimuthal Field

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Radwan A. E. , Al-Kaabi A. N.

2005

tom Vol. 9, nr 2

153--177

The hydro magnetic capillary stability of a streaming gas cylinder pervaded by an azimuthally varying magnetic field, surrounded by bounded fluid has been investigated for all kinds of perturbations. The problem is formulated, solved and upon applying appropriate boundary conditions, the dispersion relation is derived and discussed. The uniform magnetic field pervaded in the fluid is strongly stabilizing and that independently on the kind of perturbation. The azimuthally varying magnetic field in the gas region is purely destabilizing in the symmetric perturbation while it is so or otherwise in the asymmetric perturbation according to restriction. The radii ratio of the fluid-gas cylinder has a stabilizing tendency. The streaming has strong destabilizing influence for all short and long wavelengths. The capillary force is purely stabilizing in the asymmetric perturbation while it is so or not in the symmetric perturbation based on the wavelength is being shorter or longer than the gas cylinder circumference. Upon certain restrictions the destabilizing effect of the model could be suppressed and stability sets in.