Power fluctuations in a closed turbulent shear flow.
We study experimentally the power consumption P of a confined turbulent flow at constant Reynolds number Re. We analyze in details its temporal dynamics and statistical properties, in a setup that covers two decades in Reynolds numbers. We show that nontrivial power fluctuations occur over a wide range of amplitudes and that they involve coherent fluid motions over the entire system size. As a result, the power fluctuations do not result from averaging of independent subsystems and its probability density function Pi(P) is strongly non-Gaussian. The shape of Pi(P) is Reynolds number independant and we show that the relative intensity of fluctuations decreases very slowly as Re increases. These results are discussed in terms of an analogy with critical phenomena.
Pinton
J F
JF
Laboratoire de Physique, CNRS UMR 5672, Ecole Normale Supérieure de Lyon, 46, allée d'Italie, 69364 Lyon Cedex 7, France.
Holdsworth
P C
PC
Labbé
R
R