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Journal Articles Physics of Fluids Year : 2012

## Reynolds number effect on the velocity increment skewness in isotropic turbulence

Wouter J.T. Bos
Laurent Chevillard
Julian F. Scott
• Function : Author
Robert Rubinstein
• Function : Author

#### Abstract

Second and third order longitudinal structure functions and wavenumber spectra of isotropic turbulence are computed using the EDQNM model and compared to results of the multifractal formalism. At the highest Reynolds number available in windtunnel experiments, $R_\lambda=2500$, both the multifractal model and EDQNM give power-law corrections to the inertial range scaling of the velocity increment skewness. For EDQNM, this correction is a finite Reynolds number effect, whereas for the multifractal formalism it is an intermittency correction that persists at any high Reynolds number. Furthermore, the two approaches yield realistic behavior of second and third order statistics of the velocity fluctuations in the dissipative and near-dissipative ranges. Similarities and differences are highlighted, in particular the Reynolds number dependence.

### Dates and versions

hal-00559122 , version 1 (24-01-2011)

### Identifiers

• HAL Id : hal-00559122 , version 1
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### Cite

Wouter J.T. Bos, Laurent Chevillard, Julian F. Scott, Robert Rubinstein. Reynolds number effect on the velocity increment skewness in isotropic turbulence. Physics of Fluids, 2012, 24 (1), pp.015108. ⟨10.1063/1.3678338⟩. ⟨hal-00559122⟩

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