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Magnetohydrodynamic axisymmetric oscillation of bounded hollow jet

Radwan A. E., Elazab S. S., Mostafa S. A.

Mechanics and Mechanical Engineering

2004

Vol. 7, nr 1

23-28

The magnetohydrodynamic axisymmetric stability of a gas jet surrounded by finite liquid pervaded by a magnetic field and endowed with surface tension is studied. The fundamental equations are solved and the eigenvalue relation is derived and discussed. The radii ratio of the liquiel gas cylinder q has a stability effect. The capillary force is destabilizing for long wavelengths while it is stabilizing for all the rest as the wavelength is short. The axial magnetic field in the liquid region is stabilizing while the transverse magnetic field is elestabilizing. Under certain restriction the destabilizing effect could dispressed and stability sets in. Here the capillary stability results are in good agreement with Kendall's results (1986).

Magnetodynamic stability of bounded hollow jet pervaded by varying magnetic field

Radwan A. E., Elazab S. S., Hydia W. M.

Mechanics and Mechanical Engineering

2000

Vol. 4, nr 2

213--223

The problem is formulated and solved based on the linear perturbation technique. The stability criterion is derived and discussed. The analytical results are confirmed numerically. The uniform magnetic fields interior and exterior the jet have stabilizing influences for all modes of perturbation. The varying transverse magnetic field interior the model is stabilizing or not according to restrictions. The radii ratio of the gas-liquid cylinder has a tendency for stabilizing the model. As the axial magnetic fields intensities interior and exterior the gas jet are so much strong than that of the transverse magnetic field and adapting the cylinders radii ratio the instability of the model is suppressed and stability sets in.