The eddies and scales of wall turbulence

Ivan Marusic, Ronald Adrian

Research output: Chapter in Book/Report/Conference proceedingChapter

16 Citations (Scopus)

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 languageEnglish (US)
Title of host publicationTen Chapters in Turbulence
PublisherCambridge University Press
Pages176-220
Number of pages45
ISBN (Print)9781139032810, 9780521769440
DOIs
StatePublished - Jan 1 2010

Fingerprint

Turbulence
Turbulent Flow
Length Scale
Instantaneous
Flow Visualization
Geophysics
Coherent Structures
Power Spectral Density
Skin Friction
Orthogonal Decomposition
Heat and Mass Transfer
Wavelet Analysis
Spatial Correlation
Flow Pattern
Energy
Range of data
Biology
Reynolds number
Correlation Function
Boundary Layer

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Marusic, I., & Adrian, R. (2010). The eddies and scales of wall turbulence. In 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.

Ten Chapters in Turbulence. Cambridge University Press, 2010. p. 176-220.

Research output: Chapter in Book/Report/Conference proceedingChapter

Marusic, I & Adrian, R 2010, The eddies and scales of wall turbulence. in Ten Chapters in Turbulence. Cambridge University Press, pp. 176-220. https://doi.org/10.1017/CBO9781139032810.006
Marusic I, Adrian R. The eddies and scales of wall turbulence. In Ten Chapters in Turbulence. Cambridge University Press. 2010. p. 176-220 https://doi.org/10.1017/CBO9781139032810.006
Marusic, Ivan ; Adrian, Ronald. / The eddies and scales of wall turbulence. Ten Chapters in Turbulence. Cambridge University Press, 2010. pp. 176-220
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