### Abstract

The wide ranges of length and velocity scales that occur in turbulent flows make them both interesting and difficult to understand. The length scale range is widest in high Reynolds number turbulent wall flows where the dominant contribution of small scales to the stress and energy very close to the wall gives way to dominance of larger scales with increasing distance away from the wall. Intrinsic length scales are defined statistically by the two-point spatial correlation function, the power spectral density, conditional averages, proper orthogonal decomposition, wavelet analysis and the like. Before two- and three-dimensional turbulence data became available from PIV and DNS, it was necessary to attempt to infer the structure of the eddies that constitute the flow from these statistical quantities or from qualitative flow visualization. Currently, PIV and DNS enable quantitative, direct observation of structure and measurement of the scales associated with instantaneous flow patterns. The purpose of this chapter is to review the behavior of statistically-based scales in wall turbulence, to summarize our current understanding of the geometry and scales of various coherent structures and to discuss the relationship between instantaneous structures of various scales and statistical measures. Introduction. Wall-bounded turbulent flows are pertinent in a great number of fields, including geophysics, biology, and most importantly engineering and energy technologies where skin friction, heat and mass transfer, flow-generated noise, boundary layer development and turbulence structure are often critical for system performance and environmental impact.

Original language | English (US) |
---|---|

Title of host publication | Ten Chapters in Turbulence |

Publisher | Cambridge University Press |

Pages | 176-220 |

Number of pages | 45 |

ISBN (Print) | 9781139032810, 9780521769440 |

DOIs | |

State | Published - Jan 1 2010 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Ten Chapters in Turbulence*(pp. 176-220). Cambridge University Press. https://doi.org/10.1017/CBO9781139032810.006

**The eddies and scales of wall turbulence.** / Marusic, Ivan; Adrian, Ronald.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Ten Chapters in Turbulence.*Cambridge University Press, pp. 176-220. https://doi.org/10.1017/CBO9781139032810.006

}

TY - CHAP

T1 - The eddies and scales of wall turbulence

AU - Marusic, Ivan

AU - Adrian, Ronald

PY - 2010/1/1

Y1 - 2010/1/1

N2 - The wide ranges of length and velocity scales that occur in turbulent flows make them both interesting and difficult to understand. The length scale range is widest in high Reynolds number turbulent wall flows where the dominant contribution of small scales to the stress and energy very close to the wall gives way to dominance of larger scales with increasing distance away from the wall. Intrinsic length scales are defined statistically by the two-point spatial correlation function, the power spectral density, conditional averages, proper orthogonal decomposition, wavelet analysis and the like. Before two- and three-dimensional turbulence data became available from PIV and DNS, it was necessary to attempt to infer the structure of the eddies that constitute the flow from these statistical quantities or from qualitative flow visualization. Currently, PIV and DNS enable quantitative, direct observation of structure and measurement of the scales associated with instantaneous flow patterns. The purpose of this chapter is to review the behavior of statistically-based scales in wall turbulence, to summarize our current understanding of the geometry and scales of various coherent structures and to discuss the relationship between instantaneous structures of various scales and statistical measures. Introduction. Wall-bounded turbulent flows are pertinent in a great number of fields, including geophysics, biology, and most importantly engineering and energy technologies where skin friction, heat and mass transfer, flow-generated noise, boundary layer development and turbulence structure are often critical for system performance and environmental impact.

AB - The wide ranges of length and velocity scales that occur in turbulent flows make them both interesting and difficult to understand. The length scale range is widest in high Reynolds number turbulent wall flows where the dominant contribution of small scales to the stress and energy very close to the wall gives way to dominance of larger scales with increasing distance away from the wall. Intrinsic length scales are defined statistically by the two-point spatial correlation function, the power spectral density, conditional averages, proper orthogonal decomposition, wavelet analysis and the like. Before two- and three-dimensional turbulence data became available from PIV and DNS, it was necessary to attempt to infer the structure of the eddies that constitute the flow from these statistical quantities or from qualitative flow visualization. Currently, PIV and DNS enable quantitative, direct observation of structure and measurement of the scales associated with instantaneous flow patterns. The purpose of this chapter is to review the behavior of statistically-based scales in wall turbulence, to summarize our current understanding of the geometry and scales of various coherent structures and to discuss the relationship between instantaneous structures of various scales and statistical measures. Introduction. Wall-bounded turbulent flows are pertinent in a great number of fields, including geophysics, biology, and most importantly engineering and energy technologies where skin friction, heat and mass transfer, flow-generated noise, boundary layer development and turbulence structure are often critical for system performance and environmental impact.

UR - http://www.scopus.com/inward/record.url?scp=84924159044&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84924159044&partnerID=8YFLogxK

U2 - 10.1017/CBO9781139032810.006

DO - 10.1017/CBO9781139032810.006

M3 - Chapter

AN - SCOPUS:84924159044

SN - 9781139032810

SN - 9780521769440

SP - 176

EP - 220

BT - Ten Chapters in Turbulence

PB - Cambridge University Press

ER -