Pressure statistics and their scaling in high-Reynolds-number turbulent boundary layers

Tsuji, Yoshiyuki; Fransson, Jens H. M.; Alfredsson, P. Henrik; Johansson, A.

doi:10.1017/s0022112007006076

Cited by 171 publications

(175 citation statements)

References 65 publications

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“…The pressure fluctuations at the wall are represented in figure 2(b), and include both experiments and simulations. The scatter of the numerics is again small, and even that of the experiments would be reasonable, except for the single experiment by Tsuji et al (2007), which differs from most other experiments in that range. It is difficult to give a reason for that discrepancy without access to the full experimental details, but private consultations with the leading author of that paper suggest that those data, which correspond to the lowest Reynolds number range of their experiment, may not have been sufficiently corrected for the presence of background acoustic noise.…”

Section: Basic Statisticsmentioning

confidence: 69%

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Turbulent boundary layers and channels at moderate Reynolds numbers

et al. 2010

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The behaviour of the velocity and pressure fluctuations in the outer layers of wall-bounded turbulent flows is analysed by comparing a new simulation of the zero-pressure-gradient boundary layer with older simulations of channels. The 99 % boundary-layer thickness is used as a reasonable analogue of the channel half-width, but the two flows are found to be too different for the analogy to be complete. In agreement with previous results, it is found that the fluctuations of the transverse velocities and of the pressure are stronger in the boundary layer, and this is traced to the pressure fluctuations induced in the outer intermittent layer by the differences between the potential and rotational flow regions. The same effect is also shown to be responsible for the stronger wake component of the mean velocity profile in external flows, whose increased energy production is the ultimate reason for the stronger fluctuations. Contrary to some previous results by our group, and by others, the streamwise velocity fluctuations are also found to be higher in boundary layers, although the effect is weaker. Within the limitations of the non-parallel nature of the boundary layer, the wall-parallel scales of all the fluctuations are similar in both the flows, suggesting that the scale-selection mechanism resides just below the intermittent region, y/S =0.3-0.5. This is also the location of the largest differences in the intensities, although the limited Reynolds number of the boundary-layer simulation (Reg «2000) prevents firm conclusions on the scaling of this location. The statistics of the new boundary layer are available from http://torroja.dmt.upm.es/ftp/blayers/.

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Section: Basic Statisticsmentioning

confidence: 69%

“…Experimental boundary layers: V (Schewe 1983); A (Farabee & Casarella 1991); D (Tsuji et al 2007). on the basis of incomplete, and generally noisy, experimental data, and could perhaps be interpreted as meaning that the reference length for boundary layers should be taken larger than 5 99 .…”

Section: Basic Statisticsmentioning

confidence: 99%

Turbulent boundary layers and channels at moderate Reynolds numbers

et al. 2010

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“…It is well known that wall-pressure fluctuations, in wall-units, [p w ] + rms , show a marked influence on Reynoldsnumber (Goody 2004;Hu et al 2006;Tsuji et al 2007), although alternative scalings exhibit a less pronounced dependence (Tsuji et al 2007, Fig. 14, p.21).…”

Section: Plane Channel Flow Configuration and Computational Methodsmentioning

confidence: 99%

“…Starting from the seminal paper of Chou (1945) all models (Rotta 1951a,b;Lumley 1978;Piquet 1999;Pope 2000;Jovanović 2004) for the redistribution tensor φ ij , the velocity/pressure-gradient tensor Π ij or the pressure transport p u i appearing in the pressure-diffusion tensor d (p) ij , are traditionally composed of 4 parts corresponding to the splitting p = p (r;V) + p (r;w) + p (s;V) + p (s;w) (1.2). There is at present no possibility to separately measure p (r;V) , p (r;w) , p (s;V) , and p (s;w) , and, despite advances in experimental techniques for the measurement of p (Tsuji et al 2007;Tsuji & Ishihara 2003),the simultaneous measurement of p and ∂ xj u i in the the wall-vicinity is a difficult challenge (Naka et al 2006). Direct numerical simulation (dns) offers the possibility to directly compute the different terms, experimental uncertainty being replaced by the eventual influence of finite size of the computational box and of convergence of statistics.…”

Section: Introductionmentioning

confidence: 99%

Wall effects on pressure fluctuations in turbulent channel flow

2013

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The purpose of the present paper is to study the influence of wall-echo on pressure fluctuations p , and on statistical correlations containing p , viz redistribution φ ij , pressure diffusion d (p) ij , and velocity/pressure-gradient Π ij . We extend the usual analysis of turbulent correlations containing pressure fluctuations in wall-bounded dns computations [Kim J.: J. Fluid Mech. 205 (1989) ) and surface (wall-echo; p (r;w) and p (s;w) ) terms. An algorithm, based on a Green's function approach, is developed to compute the above splittings for various correlations containing pressure fluctuations (redistribution, pressure diffusion, velocity/pressure-gradient), in fully developed turbulent plane channel flow. This exact analysis confirms previous results based on a method-of-images approximation [Manceau R., Wang M., Laurence D.: J. Fluid Mech. 438 (2001) 307-338] showing that, at the wall, p (V) and p (w) are usually of the same sign and approximately equal. The above results are then used to study the contribution of each mechanism on the pressure correlations in low Reynolds-number plane channel flow, and to discuss standard second-moment-closure modelling practices.

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“…The experiments on the pressure field within a turbulent boundary layer are not as comprehensive as the studies of the velocity field, mainly due to the lack of a 386 S. Ghaemi and F. Scarano robust pressure measurement technique (Tsuji et al 2007). The previous experiments on turbulent boundary layer have been obliged to use miniaturized pressure transducers (Willmarth & Wooldridge 1962;Bull 1967) or condenser microphones (Blake 1970) which are intrusive and provide point-wise diagnostics.…”

Section: Introductionmentioning

confidence: 99%

Turbulent structure of high-amplitude pressure peaks within the turbulent boundary layer

Ghaemi

Scarano

2013

J. Fluid Mech.

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The positive and negative high-amplitude pressure peaks (HAPP) are investigated in a turbulent boundary layer at Re θ = 1900 in order to identify their turbulent structure. The three-dimensional velocity field is measured within the inner layer of the turbulent boundary layer using tomographic particle image velocimetry (tomo-PIV). The measurements are performed at an acquisition frequency of 10 000 Hz and over a volume of 418 × 149 × 621 wall units in the streamwise, wall-normal and spanwise directions, respectively. The time-resolved velocity fields are applied to obtain the material derivative using the Lagrangian method followed by integration of the Poisson pressure equation to obtain the three-dimensional unsteady pressure field. The simultaneous volumetric velocity, acceleration, and pressure data are conditionally sampled based on local maxima and minima of wall pressure to analyse the threedimensional turbulent structure of the HAPPs. Analysis has associated the positive HAPPs to the shear layer structures formed by an upstream sweep of high-speed flow opposing a downstream ejection event. The sweep event is initiated in the outer layer while the ejection of near-wall fluid is formed by the hairpin category of vortices. The shear layers were observed to be asymmetric in the instantaneous visualizations of the velocity and acceleration fields. The asymmetric pattern originates from the spanwise component of temporal acceleration of the ejection event downstream of the shear layer. The analysis also demonstrated a significant contribution of the pressure transport term to the budget of the turbulent kinetic energy in the shear layers. Investigation of the conditional averages and the orientation of the vortices showed that the negative HAPPs are linked to both the spanwise and quasi-streamwise vortices of the turbulent boundary layer. The quasi-streamwise vortices can be associated with the hairpin category of vortices or the isolated quasi-streamwise vortices of the inner layer. A bi-directional analysis of the link between the HAPPs and the hairpin paradigm is also conducted by conditionally averaging the pressure field based on the detection of hairpin vortices using strong ejection events. The results demonstrated positive pressure in the shear layer region of the hairpin model and negative pressure overlapping with the vortex core.

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Pressure statistics and their scaling in high-Reynolds-number turbulent boundary layers

Cited by 171 publications

References 65 publications

Turbulent boundary layers and channels at moderate Reynolds numbers

Turbulent boundary layers and channels at moderate Reynolds numbers

Wall effects on pressure fluctuations in turbulent channel flow

Turbulent structure of high-amplitude pressure peaks within the turbulent boundary layer

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