Random Vortex-Street Model for a Self-Similar Plane Turbulent Jet

Details Random Vortex-Street Model for a Self-Similar Plane Turbulent Jet Random Vortex-Street Model for a Self-Similar Plane Turbulent Jet

2008-03-18

arxiv.org/abs/0803.2582v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures, submitted to PRL

Scientific paper

10.1103/PhysRevLett.101.094503

We ask what determines the (small) angle of turbulent jets. To answer this question we first construct a deterministic vortex-street model representing the large scale structure in a self-similar plane turbulent jet. Without adjustable parameters the model reproduces the mean velocity profiles and the transverse positions of the large scale structures, including their mean sweeping velocities, in a quantitative agreement with experiments. Nevertheless the exact self similar arrangement of the vortices (or any other deterministic model) necessarily leads to a collapse of the jet angle. The observed (small) angle results from a competition between vortex sweeping tending to strongly collapse the jet and randomness in the vortex structure, with the latter resulting in a weak spreading of the jet.

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