### Abstract

Three-dimensional tomographic time dependent PIV measurements of high Reynolds number (Re) laboratory turbulence are presented which show the existence of long-lived, highly sheared thin layer eddy structures with thickness of the order of the Taylor microscale and internal fluctuations. Highly sheared layer structures are also observed in direct numerical simulations of homogeneous turbulence at higher values of Re (Ishihara et al., Annu Rev Fluid Mech 41:165-180, 2009). But in the latter simulation, where the fluctuations aremore intense, the layer thickness is greater. A rapid distortion model describes the structure and spectra for the velocity fluctuations outside and within 'significant' layers; their spectra are similar to the Kolmogorov (C R Acad Sci URSS 30:299-303, 1941) and Obukhov (Dokl Akad Nauk SSSR 32:22-24, 1941) statistical model (KO) for the whole flow. As larger-scale eddy motions are blocked by the shear layers, they distort smaller-scale eddies leading to local zones of down-scale and up-scale transfer of energy. Thence the energy spectrum for high wave number k is EX (k) ∼Bk^{?2p}. The exponent p depends on the forms of the large eddies. The non-linear interactions between the distorted inhomogeneous eddies produce a steady local structure, which implies that 2p = 5/3 and a flux of energy into the thin-layers balancing the intense dissipation, which is much greater than the mean (σ). Thence B ∼ (σ) ^{?2/3} as in KO. Within the thin layers the inward flux energises extended vortices whose thickness and spacing are comparable with the viscous microscale. Although peak values of vorticity and velocity of these vortices greatly exceed those based on the KO scaling, the form of the viscous range spectrum is consistent with their model.

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

Pages (from-to) | 607-649 |

Number of pages | 43 |

Journal | Flow, Turbulence and Combustion |

Volume | 92 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jan 1 2014 |

Externally published | Yes |

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### Keywords

- High Reynolds number turbulence
- Intermittency
- Local distortion model
- Thin shear layers
- Tomographic experiments

### ASJC Scopus subject areas

- Chemical Engineering(all)
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry

### Cite this

*Flow, Turbulence and Combustion*,

*92*(3), 607-649. https://doi.org/10.1007/s10494-013-9518-0

**Thin shear layer structures in high Reynolds number turbulence : Tomographic experiments and a local distortion model.** / Hunt, Julian C.R.; Ishihara, Takashi; Worth, Nicholas A.; Kaneda, Yukio.

Research output: Contribution to journal › Article

*Flow, Turbulence and Combustion*, vol. 92, no. 3, pp. 607-649. https://doi.org/10.1007/s10494-013-9518-0

}

TY - JOUR

T1 - Thin shear layer structures in high Reynolds number turbulence

T2 - Tomographic experiments and a local distortion model

AU - Hunt, Julian C.R.

AU - Ishihara, Takashi

AU - Worth, Nicholas A.

AU - Kaneda, Yukio

PY - 2014/1/1

Y1 - 2014/1/1

N2 - Three-dimensional tomographic time dependent PIV measurements of high Reynolds number (Re) laboratory turbulence are presented which show the existence of long-lived, highly sheared thin layer eddy structures with thickness of the order of the Taylor microscale and internal fluctuations. Highly sheared layer structures are also observed in direct numerical simulations of homogeneous turbulence at higher values of Re (Ishihara et al., Annu Rev Fluid Mech 41:165-180, 2009). But in the latter simulation, where the fluctuations aremore intense, the layer thickness is greater. A rapid distortion model describes the structure and spectra for the velocity fluctuations outside and within 'significant' layers; their spectra are similar to the Kolmogorov (C R Acad Sci URSS 30:299-303, 1941) and Obukhov (Dokl Akad Nauk SSSR 32:22-24, 1941) statistical model (KO) for the whole flow. As larger-scale eddy motions are blocked by the shear layers, they distort smaller-scale eddies leading to local zones of down-scale and up-scale transfer of energy. Thence the energy spectrum for high wave number k is EX (k) ∼Bk?2p. The exponent p depends on the forms of the large eddies. The non-linear interactions between the distorted inhomogeneous eddies produce a steady local structure, which implies that 2p = 5/3 and a flux of energy into the thin-layers balancing the intense dissipation, which is much greater than the mean (σ). Thence B ∼ (σ) ?2/3 as in KO. Within the thin layers the inward flux energises extended vortices whose thickness and spacing are comparable with the viscous microscale. Although peak values of vorticity and velocity of these vortices greatly exceed those based on the KO scaling, the form of the viscous range spectrum is consistent with their model.

AB - Three-dimensional tomographic time dependent PIV measurements of high Reynolds number (Re) laboratory turbulence are presented which show the existence of long-lived, highly sheared thin layer eddy structures with thickness of the order of the Taylor microscale and internal fluctuations. Highly sheared layer structures are also observed in direct numerical simulations of homogeneous turbulence at higher values of Re (Ishihara et al., Annu Rev Fluid Mech 41:165-180, 2009). But in the latter simulation, where the fluctuations aremore intense, the layer thickness is greater. A rapid distortion model describes the structure and spectra for the velocity fluctuations outside and within 'significant' layers; their spectra are similar to the Kolmogorov (C R Acad Sci URSS 30:299-303, 1941) and Obukhov (Dokl Akad Nauk SSSR 32:22-24, 1941) statistical model (KO) for the whole flow. As larger-scale eddy motions are blocked by the shear layers, they distort smaller-scale eddies leading to local zones of down-scale and up-scale transfer of energy. Thence the energy spectrum for high wave number k is EX (k) ∼Bk?2p. The exponent p depends on the forms of the large eddies. The non-linear interactions between the distorted inhomogeneous eddies produce a steady local structure, which implies that 2p = 5/3 and a flux of energy into the thin-layers balancing the intense dissipation, which is much greater than the mean (σ). Thence B ∼ (σ) ?2/3 as in KO. Within the thin layers the inward flux energises extended vortices whose thickness and spacing are comparable with the viscous microscale. Although peak values of vorticity and velocity of these vortices greatly exceed those based on the KO scaling, the form of the viscous range spectrum is consistent with their model.

KW - High Reynolds number turbulence

KW - Intermittency

KW - Local distortion model

KW - Thin shear layers

KW - Tomographic experiments

UR - http://www.scopus.com/inward/record.url?scp=84899481680&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84899481680&partnerID=8YFLogxK

U2 - 10.1007/s10494-013-9518-0

DO - 10.1007/s10494-013-9518-0

M3 - Article

AN - SCOPUS:84899481680

VL - 92

SP - 607

EP - 649

JO - Flow, Turbulence and Combustion

JF - Flow, Turbulence and Combustion

SN - 1386-6184

IS - 3

ER -