Skip to main content
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
1. G. I. Barenblatt, “Scaling laws for fully developed turbulent shear flows. Part 1. Basic hypotheses and analysis,” J. Fluid Mech. 248, 513520 (1993).
2. G. I. Barenblatt, “Characteristic length scale of the intermediate structure in zero-pressure-gradient boundary layer flow,” Proc. Natl. Acad. Sci. U.S.A. 97, 37993802 (2000).
3. W. George and L. Castillo, “Zero-pressure-gradient turbulent boundary layer,” Appl. Mech. Rev. 50, 689 (1997).
4. W. George, “Recent advancements towards the understanding of turbulent boundary layer,” AIAA J. 44, 24352449 (2006).
5. M. V. Zagarola and A. J. Smits, “Mean-flow scaling of turbulent pipe flow,” J. Fluid Mech. 373, 3379 (1998).
6. N. Afzal, “Power law and log law velocity profiles in fully developed turbulent pipe flow: Equivalent relations at large Reynolds numbers,” Acta Mech. 151, 171183 (2001).
7. B. J. Mckeon, J. Li, W. Jiang, J. F. Morrison, and A. J. Smits, “Further observations on the mean velocity distribution in fully developed pipe flow,” J. Fluid Mech. 501, 135147 (2004).
8. M. Buschmann and M. Gad-el-Hak, “Debate concerning the mean-velocity profile of a turbulent boundary layer,” AIAA J. 41, 565572 (2003).
9. P. Monkewitz, K. A. Chauhan, and H. Nagib, “Comparison of mean flow similarity laws in zero pressure gradient turbulent boundary layers,” Phys. Fluids 20, 105102 (2008).
10. I. Marusic, B. J. McKeon, P. A. Monkewitz, H. M. Nagib, and A. J. Smits, “Wall-bounded turbulent flows at high Reynolds numbers: Recent advances and key issues,” Phys. Fluids 22, 065103 (2010).
11. M. Hultmark, M. Vallikivi, S. Bailey, and A. Smits, “Turbulent pipe flow at extreme reynolds numbers,” Phys. Rev. Lett. 108, 094501 (2012).
12. I. Marusic, J. P. Monty, M. Hultmark, and A. J. Smits, “On the logarithmic region in wall turbulence,” J. Fluid Mech. 716, R3 (2013).
13. M. Inoue and D. I. Pullin, “Large-eddy simulation of the zero pressure gradient turbulent boundary layer up to Reθ = o(1012),” J. Fluid Mech. 686, 507533 (2011).
14. D. Chung and D. I. Pullin, “Large-eddy simulation and wall modelling of turbulent channel flow,” J. Fluid Mech. 631, 281309 (2009).
15. K. A. Chauhan, P. A. Monkewitz, and H. M. Nagib, “Criteria for assessing experiments in zero pressure gradient boundary layers,” Fluid Dyn. Res. 41, 021404 (2009).
16. M. Wosnik, L. Castillo, and W. K. George, “A theory for turbulent pipe and channel flows,” J. Fluid Mech. 421, 115145 (2000).
17. T. S. Lund, X. Wu, and K. D. Squires, “Generation of turbulent inflow data for spatially developing boundary layer simulations,” J. Comput. Phys. 140, 233258 (1998).
18. G. Araya, K. E. Jansen, and L. Castillo, “Inlet condition generation for spatially developing turbulent boundary layer via multiscale similarity,” J. Turbul. 10(36), 133 (2009).
19. W. Cheng and R. Samtaney, “A high-resolution code for Large Eddy Simulation of incompressible turbulent boundary layer flows,” Comput. Fluids 92, 8292 (2014).
20. H. M. Nagib, K. A. Chauhan, and P. A. Monkewitz, “Approach to an asymptotic state for zero pressure gradient turbulent boundary layers,” Philos. Trans. R. Soc. A 365, 755770 (2007).

Data & Media loading...


Article metrics loading...



The debate whether the mean streamwise velocity in wall-bounded turbulent flows obeys a log-law or a power-law scaling originated over two decades ago, and continues to ferment in recent years. As experiments and direct numerical simulation can not provide sufficient clues, in this study we present an insight into this debate from a large-eddy simulation (LES) viewpoint. The LES organically combines state-of-the-art models (the stretched-vortex model and inflow rescaling method) with a virtual-wall model derived under different scaling law assumptions (the log-law or the power-law by George and Castillo [“Zero-pressure-gradient turbulent boundary layer,” Appl. Mech. Rev.50, 689 (1997)]). Comparison of LES results for ranging from 105 to 1011 for zero-pressure-gradient turbulent boundary layer flows are carried out for the mean streamwise velocity, its gradient and its scaled gradient. Our results provide strong evidence that for both sets of modeling assumption (log law or power law), the turbulence gravitates naturally towards the log-law scaling at extremely large Reynolds numbers.


Full text loading...


Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd