- Widnall, S.E. and Bliss, D.B., Slender-body analysis of the motion and stability of a vortex filament containing an axial flow,
J. Fluid Mech. (UK), vol. 50
pp. 335 - 53 .
(last updated on 2007/04/09)
Results concerning the effects of axial velocity on the motion of vortex filaments are reviewed. These results suggest that a slender body force balance between the Kutta-Joukowski lift on the vortex cross-section and the momentum flux within the curved filament will give some insight into the behaviour of the filament. These simple ideas are exploited for both a single vortex filament and a vortex pair both containing axial flow. The stability of a straight vortex filament containing an axial flow to long wave sinusoidal displacements of its centre-line is investigated and the stability boundary obtained. The effect of axial flow on the stability of a vortex pair is explored
flow of gases;vortices;