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Higher order instability of a hollow jet endowed with surface tension, 3rd International Conference on “Engineering Mathematics and Physics”, Technical Military College, Cairo, Egypt, May 16-18 () 67-77.

Technical Military College • 2006
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Publication Information
Authors AE Radwan, NA Ahmed
Keywords Not Available
Journal Technical Military College
Publisher Not Available
Volume Not Available
Issue Not Available
Pages 67-77
publication.type Local
Paper Link Not Available
Supplementary Materials Not Available
Abstract
The higher orders instability of a gas cylinder ambient with an incompressible inviscid liquid endowed with surface tension is analyzed. The perturbation equations up to third order are
derived and solved. The surface displacements, the velocity potentials and the dispersion relations are derived for each order of axisymmetric perturbation. It is found that, up to third
order, a transition from instability to stability states occurs when the perturbed wavelength equals the circumference of the gas cylinder. The stability discussions for the present ..