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Open AccessArticle

Flow Statistics in the Transitional Regime of Plane Channel Flow

1
LIMSI-CNRS, UPR 3251, Université Paris-Saclay, 91405 Orsay, France
2
Gulliver, ESPCI-CNRS, 10 Rue Vauquelin, 75005 Paris, France
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(9), 1001; https://doi.org/10.3390/e22091001
Received: 16 August 2020 / Revised: 4 September 2020 / Accepted: 4 September 2020 / Published: 8 September 2020
(This article belongs to the Special Issue Intermittency in Transitional Shear Flows)
The transitional regime of plane channel flow is investigated above the transitional point below which turbulence is not sustained, using direct numerical simulation in large domains. Statistics of laminar-turbulent spatio-temporal intermittency are reported. The geometry of the pattern is first characterized, including statistics for the angles of the laminar-turbulent stripes observed in this regime, with a comparison to experiments. High-order statistics of the local and instantaneous bulk velocity, wall shear stress and turbulent kinetic energy are then provided. The distributions of the two former quantities have non-trivial shapes, characterized by a large kurtosis and/or skewness. Interestingly, we observe a strong linear correlation between their kurtosis and their skewness squared, which is usually reported at much higher Reynolds number in the fully turbulent regime. View Full-Text
Keywords: transition to turbulence; spatio-temporal intermittency; channel flow transition to turbulence; spatio-temporal intermittency; channel flow
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MDPI and ACS Style

Kashyap, P.V.; Duguet, Y.; Dauchot, O. Flow Statistics in the Transitional Regime of Plane Channel Flow. Entropy 2020, 22, 1001.

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