Noise correlations in shear flows

@inproceedings{Eckhardt2003NoiseCI,
  title={Noise correlations in shear flows},
  author={Bruno Eckhardt and Rahul B. Pandit},
  year={2003}
}
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… CONTINUE READING

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