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1 2004

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Axisymmetric MHD oscillation of a compressible hollow jet

Radwan A. E., Eltaweel M. A.

Mechanics and Mechanical Engineering

2004

Vol. 7, nr 2

127-130

The capillary oscillation of compressible hollow Jet under the action of the electromagnetic force for axisymmetric perturbation is discussed. Some published results are recovered as limiting cases on utilizing the dispersion relation of the present model. The capillary force has a destabilizing effect in a small range (0 ≤ χ < 1, where χ is the dimensionless longitudinal wavenumber) of perturbation. While it is stabilizing as 1 ≤ χ < ∞. The compressibility has a strong destabilizing tendency of the model for all wavenumber values χ ≠ 0. Each of the magnetic fields pervaded in the gas and liquid regions has a stabilizing effect for all short and. long wavelengths. As that effect is so strong, the capillary instability is suppressed and stability sets in. But in fact here the model is unstable due to the strong destabilizing effect of the compressibility.