Abstract
The main aim of this article is to explore the relationship of vorticity and stretching in flows having a simple configuration forced by their geometry. Using Taylor’s four rollers mill experiment the stability of a region of pure strain (a 3D hyperbolic flow having a linear stagnation line) is first investigated. In agreement with previous theoretical predictions this flow is shown to be unstable and to give rise to a periodic pattern of alternate vortices aligned in the direction of stretching. It is demonstrated that the vortices which have been amplified by the stretching react on the strain so that the longitudinal velocity gradient is weakened in their core. This effect is also observed in another experiment where a vortex is formed in a cylindrical tank having a rotating bottom and submitted to an axial pumping. This later experiment demonstrates that the reduction of the stretching can be ascribed to the bidimensionalization induced by the vortex rotation.
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© 1997 Springer-Verlag
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Andreotti, B., Douady, S., Couder, Y. (1997). About the interaction between vorticity and stretching in coherent structures. In: Boratav, O., Eden, A., Erzan, A. (eds) Turbulence Modeling and Vortex Dynamics. Lecture Notes in Physics, vol 491. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105032
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DOI: https://doi.org/10.1007/BFb0105032
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