Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows

Wei, Tie; Fife, Paul C.; Klewicki, Joseph; McMurtry, Patrick

doi:10.1017/s0022112004001958

Cited by 210 publications

(282 citation statements)

References 37 publications

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“…Such shifts in the balancing mechanism give rise to the aforementioned four-layer structure. (Note that the current four layers are different from those defined by Wei et al (2005) and Klewicki et al (2012) from the balance of the mean momentum equation). Here, the multilayer structure is also visible by the compensated plot (divided by 1 − r 4 ) of the lengths (Part 1), as shown in figure 1(b).…”

Section: Random Dilation For the Balance Equationsmentioning

confidence: 97%

Quantifying wall turbulence via a symmetry approach. Part 2. Reynolds stresses

2018

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We present new scaling expressions, including high-Reynolds-number (Re) predictions, for all Reynolds stress components in the entire flow domain of turbulent channel and pipe flows. In Part 1 (She et al., J. Fluid Mech., vol. 827, 2017, pp. 322-356), based on the dilation symmetry of the mean Navier-Stokes equation a four-layer formula of the Reynolds shear stress length 12 -and hence also the entire mean velocity profile (MVP) -was obtained. Here, random dilations on the second-order balance equations for all the Reynolds stresses (shear stress −u v , and normal stresses u u , v v , w w ) are analysed layer by layer, and similar four-layer formulae of the corresponding stress length functions 11 , 22 , 33 (hence the three turbulence intensities) are obtained for turbulent channel and pipe flows. In particular, direct numerical simulation (DNS) data are shown to agree well with the four-layer formulae for 12 and 22 -which have the celebrated linear scalings in the logarithmic layer, i.e. 12 ≈ κy and 22 ≈ κ 22 y.

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Section: Random Dilation For the Balance Equationsmentioning

confidence: 97%

Quantifying wall turbulence via a symmetry approach. Part 2. Reynolds stresses

2018

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“…Therefore, information on the roughness layer flow dynamics should be obtained from the analysis of the stress gradient terms rather than the stress components. The same argument has been recently used by Wei et al (2005) and Klevicki et al (2007) who analyze the structure of smooth wall turbulent boundary layers by assessing the gradients of viscous and Reynolds stress. We now want to perform a similar analysis for the Reynolds and FI stress gradients.…”

Section: Discussionmentioning

confidence: 94%

On the significance of form-induced stress in rough wall turbulent boundary layers

et al. 2008

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A b s t r a c tThis paper presents a review of recent experimental and numerical studies which deal with the analysis of form-induced stress in rough wall turbulent boundary layers. The aim of the paper is to assess the importance of this stress for various rough wall geometries and flow conditions. Analysis of the significance of form-induced stress is first performed by comparing its magnitude with the magnitude of Reynolds stress for each data set available in literature. Then, by selecting a special set of data, we analyze the comparison between the gradients of both stresses. We point out that the comparison of stress gradients gives a different perspective on the role of form-induced stress in rough wall boundary layers.

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“…The wall-normal locations examined in the following can be better classified based on the four-layer structure described by Ref. [11]. In this case, the wall-normal locations are partially in layer III, the viscous-advection balance mesolayer, and in layer IV, the inertial-advection balance layer.…”

Section: A Methods For Identification and Tracking In Time Of Intensmentioning

confidence: 99%

“…Specifically, layer III ranges from y + ≈ 1.6 × (Re τ ) 1/2 to y + ≈ 2.6 × (Re τ ) 1/2 , and layer IV ranges from y + ≈ 2.6 × (Re τ ) 1/2 to y + = Re τ (see Ref. [11], p. 308, section 2.2 for details on the physical extent of the four layers).…”

Section: A Methods For Identification and Tracking In Time Of Intensmentioning

confidence: 99%

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Characteristics of sources and sinks of momentum in a turbulent boundary layer

Fiscaletti

Ganapathisubramani

2018

Phys. Rev. Fluids

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General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms In turbulent boundary layers, the wall-normal gradient of the Reynolds shear stress identifies momentum sources and sinks (T = ∂[−uv]/∂y). These motions can be physically interpreted in two ways: (1) as contributors to the turbulence term balancing the mean momentum equation, and (2) as regions of strong local interaction between velocity and vorticity fluctuations. In this paper, the space-time evolution of momentum sources and sinks is investigated in a turbulent boundary layer at the Reynolds number (Re τ ) = 2700, with time-resolved planar particle image velocimetry in a plane along the streamwise and wall-normal directions. Wave number-frequency power spectra of T fluctuations reveal that the wave velocities of momentum sources and sinks tend to match the local streamwise velocity in proximity to the wall. However, as the distance from the wall increases, the wave velocities of the T events are slightly lower than the local streamwise velocities of the flow, which is also confirmed from the tracking in time of the intense momentum sources and sinks. This evidences that momentum sources and sinks are preferentially located in low-momentum regions of the flow. The spectral content of the T fluctuations is maximum at the wall, but it decreases monotonically as the distance from the wall grows. The relative spectral contributions of the different wavelengths remains unaltered at varying wall-normal locations. From autocorrelation coefficient maps, the characteristic streamwise and wall-normal extents of the T motions are respectively 60 and 40 wall units, independent of the wall distance. Both statistics and instantaneous visualizations show that momentum sources and sinks have a preferential tendency to be organized in positive-negative pairs in the wall-normal direction.

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Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows

Cited by 210 publications

References 37 publications

Quantifying wall turbulence via a symmetry approach. Part 2. Reynolds stresses

Quantifying wall turbulence via a symmetry approach. Part 2. Reynolds stresses

On the significance of form-induced stress in rough wall turbulent boundary layers

Characteristics of sources and sinks of momentum in a turbulent boundary layer

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