Noise Correlations in Shear Flows

Details Noise Correlations in Shear Flows Noise Correlations in Shear Flows

2003-06-11

arxiv.org/abs/nlin/0306016v1

Nonlinear Sciences

Chaotic Dynamics

6 pages, 2 figures, gzipped tar file

Scientific paper

10.1140/epjb/e2003-00178-3

We consider the effects of a shear on velocity fluctuations in a flow. The shear gives rise to a transient amplification that not only influences the amplitude of perturbations but also their time correlations. We show that, in the presence of white noise, time correlations of transversal velocity components are exponential and that correlations of the longitudinal components are exponential with an algebraic prefactor. Cross correlations between transversal and downstream components are strongly asymmetric and provide a clear indication of non-normal amplification. We suggest experimental tests of our predictions.

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