Effect of stretching on vortices with axial flow
Part of the
Fluid Mechanics and Its Applications
book series (FMIA, volume 71)
It is shown that a weak time-dependent stretching might rapidly destabilise a vortex, thus providing a mechanism for vortex bursts observed in turbulent flows. This study addresses the three-dimensional stability of a stretched viscous Batchelor vortex. In a fashion quite similar to Lundgren’s transformation, the strain field is almost eliminated from the linear equations that govern three-dimensional perturbations. Such transformed equations, which are reminiscent of those for the swirling jet instability, are then numerically solved in the simple case of a compression phase followed by a stretching phase. Simulations qualitatively demonstrate how strain and azimuthal vorticity cooperate to destabilise the vortex.
KeywordsAxial Flow Vortex Filament Swirl Number Rapid Distortion Theory Azimuthal Vorticity
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