Logarithmic scaling of turbulence in smooth- and rough-wall pipe flow

Hultmark, Marcus; Vallikivi, Margit; Bailey, Sean; Smits, Alexander J.

doi:10.1017/jfm.2013.255

Cited by 119 publications

(143 citation statements)

References 40 publications

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“…The datasets from which the present results derive (250 × 10 3 Re D 6.0 × 10 6 ) are those previously reported by Vallikivi et al (2011);Rosenberg et al (2013); Hultmark et al (2013);Vallikivi (2014). Structure functions (up to third-order moments) and spectra are calculated using time series of either 60 s or 90 s duration: the latter have previously been presented by Rosenberg et al (2013), and their scaling at lower wavenumbers examined by Vallikivi et al (2015).…”

Section: Experimental Techniquessupporting

confidence: 87%

The inertial subrange in turbulent pipe flow: centreline

2016

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The inertial subrange scaling of the axial velocity component is examined for the centre line of turbulent pipe flow for Reynolds numbers in the range 249 Re λ 986. Estimates of the dissipation rate are made by both integration of the one-dimensional dissipation spectrum and the third-order moment of the structure function. In neither case does the non-dimensional dissipation rate asymptote to a constant; rather than decreasing, it increases indefinitely with Reynolds number. Complete similarity of the inertial range spectra is not evident: there is little support for K41, and effects of Reynolds number are not well represented by Kolmogorov's "extended similarity hypothesis", K62. The second-order moment of the structure function does not show a constant value, even when compensated by K62. When corrected for the effects of finite Reynolds number, the third-order moments of the structure function accurately support the " 4 5 ths" law, but they do not show a clear plateau. In common with recent work in grid turbulence, nonequilibrium effects can be represented by an heuristic scaling that includes a global Reynolds number as well as a local one. It is likely that nonequilibrium effects appear to be particular to the nature of the boundary conditions. Here, the principal effects of the boundary conditions appear through finite turbulent transport at the pipe centre line which constitutes a source or a sink at each wavenumber.

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Section: Experimental Techniquessupporting

confidence: 87%

The inertial subrange in turbulent pipe flow: centreline

2016

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“…To eliminate the wall distance, relations (3.2) and (4.1) can be combined to yield the following expression for the variance [10]:…”

Section: Reynolds Stresses (A) Streamwise Componentmentioning

confidence: 99%

Reynolds stress scaling in pipe flow turbulence—first results from CICLoPE

Örlü

Fiorini

Segalini

et al. 2017

Phil. Trans. R. Soc. A.

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“…The outer portion of the meso-layer, beyond the region in which the streamwise energy features an inflection region or a (second) maximum , is populated with very large scale motions (VLSMs), and it is this layer that has been the focus of attention in studies of Vassilicos et al 23 , Hutchins at al 13 , Hultmark et al 14 and Rosenberg et al 15 , at Re τ > 7000, who show that the streamwise energy displays a logarithmic-decay variation at the same slope as that in figure 1. The variation of the energy in the outer layer, 500 < y + < 1000, suggests a log-like decay, especially at the high Reynolds value, and the slope of this decay is given in figure 1.…”

Section: Statistical Properties Of Eddy-length-scalementioning

confidence: 99%

Spectral analysis of near-wall turbulence in channel flow at Reτ=4200 with emphasis on the attached-eddy hypothesis

Agostini

Leschziner

2017

Phys. Rev. Fluids

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1 DNS data for channel flow at a friction Reynolds number of 4200, generated by Lozano-Durán & Jiménez (JFM, vol 759, 2014), are used to examine the properties of near-wall turbulence within sub-ranges of eddy-length scale. Attention is primarily focused on the intermediate layer ("meso-layer") covering the logarithmic velocity region within the range of wall-scaled wall-normal distance of 80-1500. The examination is based on a number of statistical properties, including pre-multiplied and compensated spectra, pre-multiplied derivative of the second-order structure function and three scalar parameters that characterise the anisotropic or isotropic state of the various length-scale sub-ranges. This analysis leads to the delineation of three regions within the map of wall-normal-wise pre-multiplied spectra, each characterized by distinct turbulence properties. A question of particular interest is whether the Townsend-Perry Attached Eddy Hypothesis (AEH) can be shown to be valid across the entire meso-layer, in contrast to the usual focus on the outer portion of the logarithmic-velocity layer at high Reynolds numbers, which is populated with very large-scale motions. This question is addressed by reference to properties in the pre-multiplied scale-wise derivative of the second-order structure function (PMDS2) and joint PDFs of streamwise-velocity fluctuations and their streamwise and spanwise derivatives. This examination provides evidence, based primarily on the existence of a plateau region in the PMDS2 for the qualified validity of the AEH right down the lower limit of the logarithmic velocity range.

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Logarithmic scaling of turbulence in smooth- and rough-wall pipe flow

Cited by 119 publications

References 40 publications

The inertial subrange in turbulent pipe flow: centreline

The inertial subrange in turbulent pipe flow: centreline

Reynolds stress scaling in pipe flow turbulence—first results from CICLoPE

Spectral analysis of near-wall turbulence in channel flow at Reτ=4200 with emphasis on the attached-eddy hypothesis

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