### Abstract

C0−1

where C0 is Lagrangian based universal Kolmogorov constant: 6≲C 0 ≲7

6≲C0≲7

. The equations enable the derivation of descriptions for transport by turbulent fluctuations of conserved scalars, momentum, kinetic energy, pressure and energy dissipation as a function of the derivative of their mean values. Except for pressure and kinetic energy, the diffusion coefficients of these relations are specified in closed-form with C −1 0

C0−1

as constant of proportionality. The relations are verified with DNS results of channel flow at Reτ=2000. The presented results can serve to improve or replace the diffusion models of current CFD models.

Original language | English |
---|---|

Pages (from-to) | 369–399 |

Number of pages | 31 |

Journal | Flow, Turbulence and Combustion |

Volume | 97 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2016 |

### Fingerprint

### Cite this

*Flow, Turbulence and Combustion*,

*97*(2), 369–399. https://doi.org/10.1007/s10494-015-9701-6

}

*Flow, Turbulence and Combustion*, vol. 97, no. 2, pp. 369–399. https://doi.org/10.1007/s10494-015-9701-6

**Statistical models of large scale turbulent flow.** / Brouwers, J.J.H.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Statistical models of large scale turbulent flow

AU - Brouwers, J.J.H.

PY - 2016

Y1 - 2016

N2 - The Langevin and diffusion equations for statistical velocity and displacement of marked fluid particles are formulated for turbulent flow at large Reynolds number for which Lagrangian Kolmogorov K-41 theory holds. The damping and diffusion terms in these equations are specified by the first two terms of a general expansion in powers of C −1 0 C0−1 where C0 is Lagrangian based universal Kolmogorov constant: 6≲C 0 ≲7 6≲C0≲7. The equations enable the derivation of descriptions for transport by turbulent fluctuations of conserved scalars, momentum, kinetic energy, pressure and energy dissipation as a function of the derivative of their mean values. Except for pressure and kinetic energy, the diffusion coefficients of these relations are specified in closed-form with C −1 0 C0−1 as constant of proportionality. The relations are verified with DNS results of channel flow at Reτ=2000. The presented results can serve to improve or replace the diffusion models of current CFD models.

AB - The Langevin and diffusion equations for statistical velocity and displacement of marked fluid particles are formulated for turbulent flow at large Reynolds number for which Lagrangian Kolmogorov K-41 theory holds. The damping and diffusion terms in these equations are specified by the first two terms of a general expansion in powers of C −1 0 C0−1 where C0 is Lagrangian based universal Kolmogorov constant: 6≲C 0 ≲7 6≲C0≲7. The equations enable the derivation of descriptions for transport by turbulent fluctuations of conserved scalars, momentum, kinetic energy, pressure and energy dissipation as a function of the derivative of their mean values. Except for pressure and kinetic energy, the diffusion coefficients of these relations are specified in closed-form with C −1 0 C0−1 as constant of proportionality. The relations are verified with DNS results of channel flow at Reτ=2000. The presented results can serve to improve or replace the diffusion models of current CFD models.

U2 - 10.1007/s10494-015-9701-6

DO - 10.1007/s10494-015-9701-6

M3 - Article

VL - 97

SP - 369

EP - 399

JO - Flow, Turbulence and Combustion

JF - Flow, Turbulence and Combustion

SN - 1386-6184

IS - 2

ER -