Magnetohydrodynamic oscillation of a gas jet of zero inertia dispersed in a resistive liquid with energy conservation

Astronomy and Astrophysics – Astrophysics

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Conservation Laws, Gas Dynamics, Gas Jets, Magnetohydrodynamic Stability, Plasma Oscillations, Coaxial Flow, Flow Stability, Magnetic Field Configurations

Scientific paper

The dynamical oscillation and instability of a gas cylinder of zero inertia immersed in a resistive liquid is developed for symmetric perturbations. In the absence of the magnetic field the conservation of energy is employed to study the problem for all symmetric and asymmetric perturbations. In the latter it is found that the temporal amplification is much lower than that of the full fluid jet. The model is capillary stable for all short and long wavelengths in the asymmetric perturbation while in the symmetric disturbances it is stabilizing or not according to whether the perturbed wavelength is shorter than the gas-cylinder circumference or not. The resistivity is stabilizing or destabilizing according to restrictions. The electromagnetic body force is stabilizing for all wavelengths in the rotationally-symmetric disturbances. The Lorentz body force for high magnetic-field intensity could be suppressing the destabilizing character of the present model. This may be due to the fact that the acting magnetic field is uniform and that the fluid is considered to be incompressible.

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