Turbulent boundary layers and channels at moderate Reynolds numbers

By Javier Jiménez, Sergio Hoyas, Mark P. Simens, Yoshinori Mizuno. Journal of Fluid Mechanics, 2010

376 citations recorded by the source corpus.

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/δ = 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 (Reθ ≈ 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/.

Subfields: Computational Mechanics, Environmental Engineering, Global and Planetary Change

View Paper: https://www.semanticscholar.org/paper/1eb3c0dbcf3e4e6aa510049d2735299cc9dde064

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Citations in the corpus

The turbulent/non-turbulent interface and entrainment in a boundary layer (2012, background): “9, which again correlates well with the interface being ‘pushed’ towards the wall, an observation also made by Jim´enez et al. (2010).”
Turbulent boundary layers at moderate Reynolds numbers: inflow length and tripping effects (2012, background): “…hairpins’ (Wu & Moin 2009b) has received considerable attention and is controversially debated (see e.g. discussions in Marusic 2009; Gad-el-Hak 2009; Jiménez et al. 2010; Schlatter et al. 2010a), although Schlatter et al. (2010a) have shown that at ‘higher Re 28 P. Schlatter and R. Örlü (say Reθ…”
The three-dimensional structure of momentum transfer in turbulent channels (2011, background): “The contribution from the different quadrants, at H = 0, has been treated extensively in the literature, and was discussed in some detail by Jiménez et al. (2010) in the context of the similarities and differences between internal and external shear flows.”
Cascades in Wall-Bounded Turbulence (2012, background): “Figure 2a includes channels and boundary layers, and although the aspect ratio λx/λz of the spectral handle is the same for both, the boundary layers are slightly shorter and narrower (Monty et al. 2009, Jiménez et al. 2010).”
Turbulence in supersonic boundary layers at moderate Reynolds number (2011, methodology): “This scenario is consistent with the observations of Jiménez et al. (2010) that ‘the structures of u are long, and those of v are tall’.”