Self-consistent high-Reynolds-number asymptotics for zero-pressure-gradient turbulent boundary layers

By P. Monkewitz, K. Chauhan, H. Nagib. 2007

211 citations recorded by the source corpus.

The asymptotic behavior of mean velocity and integral parameters in flat plate turbulent boundary layers under zero pressure gradient are studied for Reynolds numbers approaching infinity. Using the classical two-layer approach of Millikan, Rotta, and Clauser with a logarithmic velocity profile in the overlap region between “inner” and “outer” layers, a fully self-consistent leading-order description of the mean velocity profile and all integral parameters is developed. It is shown that this description fits most high Reynolds number data, and in particular their Reynolds number dependence, exceedingly well; i.e., within experimental errors.

Subfields: Computational Mechanics, Environmental Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/4e53828f149aee1ef98ff6911e5008cda6de88a2

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Citations in the corpus

Turbulent boundary layers at moderate Reynolds numbers: inflow length and tripping effects (2012, background): “Although the highest Reynolds number considered here is far from being sufficient to reach an asymptotic logarithmic region or even deduce an accurate value for the log-law constants, the collection of profiles follows the general trend of the composite profile proposed by Monkewitz et al. (2007).”
Optimal transient growth and very large–scale structures in turbulent boundary layers (2008, methodology): “Explicit expression of the mean velocity profile We report the explicit expressions of the mean velocity profile expressions proposed by Monkewitz et al. (2007):”
High Reynolds number effects in wall turbulence (2010, background): “Besides refinements of the “classic” scaling (see e.g. Monkewitz et al., 2007), new theories have been proposed questioning the form and basis of classic scaling laws (Barenblatt et al., 1997; George & Castillo, 1997).”
High–Reynolds Number Wall Turbulence (2011, background): “Also, new scaling arguments have been advanced by George & Castillo (1997), DeGraaff & Eaton (2000), Wei et al. (2005), Monkewitz et al. (2007), and Panton (2007), for example, which have led to much debate within the community.”
On the logarithmic region in wall turbulence (2013, methodology): “For consistency, the boundary-layer thickness δ was estimated for the Melbourne and LCC results by using a composite law of the wall/wake curve fit using the method of Monkewitz et al. (2007), and the same composite profile was used to obtain Uτ for the LCC results using κ = 0.384 and A = 4.17.”
Grid-point requirements for large eddy simulation: Chapman’s estimates revisited (2012, background): “Also, Monkewitz et al. (2007) showed that a power-law curve-fit of the momentum thickness, θ/x = 0.016Re−0.15x , agrees very well with the experimental data in 106 ≤ Rex ≤ 10 9, which is not very different from the present one (θ/x = 0.0156Re −1/7 x from Eqs.”
Simulations of Spatially Evolving Turbulent Boundary Layers up to Reθ = 4300 (2010, background): “From the present data, the minimum of Ξ is reached at y+ ≈ 70 with a value of 1/Ξ ≈ 0.428 in good agreement with the prediction by Monkewitz et al. (2007), but also DNS results in both channel and boundary layers.”