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An experimental study on the coherent structures and chaotic phenomena in the axisymmetric countercurrent shear flow

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Abstract

The coherent structures and the chaotic phenomena in the transition of the axisymmetric countercurrent mixing shear flow were investigated experimentally. Two kinds of self-excited oscillation modes could exist in the axisymmetric countercurrent mixing shear flow. One is the shear layer self-excited oscillation mode corresponding to the high Reynolds number regime and the other is the jet column self-excited oscillation mode corresponding to the low Reynolds number regime in the case of the velocity ratio ranging from 1 to 1.5. Analyzing the auto-power spectrum, self-correlation-function and three dimensional reconstructed phase trajectory, the route to chaos through three Hopf bifurcations intercepted by an intermittence of the dynamical system corresponding to the axisymmetric countercurrent mixing shear flow was discovered when the velocity ratio is equal to 1.32.

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Weiwei, M., Xilin, X. & Huiliang, Z. An experimental study on the coherent structures and chaotic phenomena in the axisymmetric countercurrent shear flow. Acta Mech Sinica 17, 214–224 (2001). https://doi.org/10.1007/BF02486877

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  • DOI: https://doi.org/10.1007/BF02486877

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