Abstract
Models for the viscous and buffer layers over smooth walls are reviewed. It is shown that there is a family of numerically-exact nonlinear structures which account for about half of the energy production and dissipation in the wall layer. The other half can be modelled by the unsteady bursting of those structures. Many of the best-known characteristics of the wall layer, such as the lateral spacing among the streaks, are well predicted by these models. The limitations of minimal models are then discussed, and it is noted that a better approximation is to represent the velocity streaks as ‘semi-infinite’ wakes of the wall-normal velocity structures, both in the buffer and in the logarithmic layer. The consequences of this characterization on the causal relation between bursting structures are also briefly discussed.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
ADRIAN, R.J., MEINHART, C.D. & TOMKINS, C.D. 2000 Vortex organization in the outer region of the turbulent boundary layer, J. Fluid Mech. 422, 1–54.
DEL ÁLAMO, J.C. & JIMÉNEZ, J. 2003 Spectra of very large anisotropic scales in turbulent channels, Phys. Fluids 15 L41–L44.
DEL ÁLAMO, J.C., JIMÉNEZ, J., ZANDONADE, P. & MOSER, R.D. 2004 Scaling of the energy spectra of turbulent channels, J. Fluid Mech. 500, 135–144.
DEL Á, J.C., JIMÉNEZ, J., ZANDONADE, P. & MOSER, R.D. 2005 Attached and detached vortex clusters in the logarithmic region, submitted J. Fluid Mech.
AUBRY, N., HOLMES, P., LUMLEY, J.L. & STONE, E. 1988 The dynamics of coherent structures in the wall region of a turbulent boundary layer, J. Fluid Mech. 192, 115–173.
BAKEWELL, H. P. & LUMLEY, J. L. 1967 Viscous sublayer and adjacent wall region in turbulent pipe flow. Phys. Fluids 10, 1880–1889.
CHONG, M.S., PERRY, A.E. & CANTWELL, B.J. 1990 A general classification of three-dimensional flow fields, Phys. Fluids A 2, 765–777.
CHRISTENSEN, K.T. & ADRIAN, R.J. 2001 Statistical evidence of hairpin vortex packets in wall turbulence, J. Fluid Mech. 431, 433–443.
FRIC, T.F. & ROSHKO, A. 1994 Vortical structure in the wake of a transverse jet, J. Fluid Mech. 279, 1–47.
HAMILTON, J. M., KIM, J. & WALEFFE, F. 1995 Regeneration mechanisms of near-wall turbulence structures. J. Fluid Mech. 287, 317–348.
JEONG, J., HUSSAIN,F., SCHOPPA,W. & KIM, J. 1997 Coherent structures near the wall in a turbulent channel flow. J. Fluid Mech. 332, 185–214.
JIMÉNEZ, J. 1998 The largest structures in turbulent wall flows. In CTR Annual Research Briefs, 943–945. Stanford University.
JIMÉNEZ, J. 2004 Turbulent flows over rough walls, Ann. Rev. Fluid Mech. 36, 173–196.
JIMÉNEZ, J., DEL Á, J.C. & FLORES, O. 2004 The large-scale dynamics of near-wall turbulence, J. Fluid Mech. 505, 179–199.
JIMÉNEZ, J., KAWAHARA, G., SIMENS, M.P., NAGATA, M. & SHIBA, M. 2004 Characterization of near-wall turbulence in terms of equilibrium and ‘bursting’ solutions, Phys. Fluids 17, 015105.1–16.
JIMÉNEZ, J. & MOIN, P. 1991 The minimal flow unit in near wall turbulence. J. Fluid Mech. 225, 221–240.
JIMÉNEZ, J. & PINELLI, A. 1999 The autonomous cycle of near wall turbulence, J. Fluid Mech. 389, 335–359.
JIMÉNEZ, J. & SIMENS, M.P. 2001 Low-dimensional dynamics in a turbulent wall flow, J. Fluid Mech. 435,81–91.
KAWAHARA, G., JIMÉNEZ, J., UHLMANN, M. & PINELLI, A. 2003 Linear instability of a corrugated vortex sheet–a model for streak instability, J. Fluid Mech. 483 315–342.
KAWAHARA, G. & KIDA, S. 2001 Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst, J. Fluid Mech. 449, 291–300.
KIM, K. C & ADRIAN, R. J. 1999 Very large-scale motion in the outer layer. Phys. Fluids A 11, 417–422.
KIM, J. & HUSSAIN, F. 1993 Propagation velocity of perturbations in channel flow. Phys. Fluids A 5, 695–706.
KIM, H.T., KLINE, S.J. & REYNOLDS, W.C. 1971 The production of turbulence near a smooth wall in a turbulent boundary layers, J. Fluid Mech. 50, 133–160.
KIM, J., MOIN, P. & MOSER, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133–166.
LAWN, C. J. 1971 The determination of the rate of dissipation in turbulent pipe flow, J. Fluid Mech 48, 477–505.
MORRISON, W.R.B., BULLOCK, K.J. & KRONAUER, R.E. 1971 Experimental evidence of waves in the sublayer. J. Fluid Mech. 47, 639–656.
NAGATA, M. & BUSSE, F.H. 1983 Three-dimensional tertiary motions in a plane shear flow, J. Fluid Mech. 135, 1–26.
NAGATA, M. 1990 Three-dimensional finite-amplitude solutions in plane Couette flow: bifurcation from infinity, J. Fluid Mech. 217, 519–527.
OFFEN, G.R. & KLINE, S.J. 1975 A proposed model for the bursting process in turbulent boundary layers, J. Fluid Mech. 70, 209–228.
ÖSTERLUND, J.M., JOHANSSON, A.V., NAGIB, H.M. & HITES 2000 A note on the overlap region in turbulent boundary layers, Phys. Fluids 12, 1–4.
PERRY, A.E., HENBEST, S. & CHONG, M.S. 1986 A theoretical and experimental study of wall turbulence. J. Fluid Mech 165, 163–199.
REDDY, S.C., SCHMID, P.J., BAGGETT, J.S. & HENNINGSON, D.S. 1998 On stability of streamwise streaks and transition thresholds in plane channel flows. J. Fluid Mech. 365, 269–303.
ROBINSON, S.K. 1991 Coherent motions in the turbulent boundary layer. Ann. Rev. Fluid Mech. 23, 601–639.
SCHOPPA, W. & HUSSAIN, F. 2002 Coherent structure generation in near-wall turbulence. J. Fluid Mech. 453, 57–108.
SIROVICH, L. & ZHOU, X. 1994 Dynamical model of wall-bounded turbulence. Phys. Rev. Lett. 72, 340–343.
SMITH, C.R. & METZLER, S.P. 1983 The characteristics of low speed streaks in the near wall region of a turbulent boundary layer. J. Fluid Mech. 129, 27–54.
SWEARINGEN, J.D. & BLACKWELDER, R.F. 1987 The growth and breakdown of streamwise vortices in the presence of a wall. J. Fluid Mech. 182, 255–290.
TANAHASHI, M., KANG, S.-J., MIYAMOTO, T., SHIOKAWA, S. & MIYAUCHI, T. 2004 Scaling law of fine scale eddies in turbulent channel flows up to Ret = 800. Int. J. Heat and Fluid Flow 25, 331–340.
TENNEKES, H. & LUMLEY, J.L. 1972 A first course in turbulence, chapter 8. MIT Press. TOH, S. & ITANO, T. 2001 On the regeneration mechanism of turbulence in the channel flow, Proc. Iutam Symp. on Geometry and Statistics of Turbulence. (eds. T. Kambe, T. Nakano and T. Muiyauchi), Kluwer. 305–310.
TOH, S. & ITANO, T. 2003 A periodic-like solution in channel flow, J. Fluid Mech. 481, 67–76.
WALEFFE, F. 1997 On a self-sustaining process in shear flows, Phys. Fluids 9, 883–900.
WALEFFE, F. 1998 Three-dimensional coherent states in plane shear flows. Phys. Rev. Letters 81, 4140–4143.
WALEFFE, F. 2001 Exact coherent structures in channel flow, J. Fluid Mech. 435, 93–102.
WALEFFE, F. 2003 Homotopy of exact coherent structures in plane shear flows, Phys. Fluids 15, 1517–1534.
ZHOU, J., ADRIAN, R.J., BALACHANDER, S. & KENDALL, T.M. 1999 Mechanisms for generating coherent packets of hairpin vortices in channel flow, J. Fluid Mech. 397, 353–396.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this paper
Cite this paper
Jiménez, J., Kawahara, G., Simens, M.P., del Álamo, J.C. (2006). THE NEAR-WALL STRUCTURES OF TURBULENT WALL FLOWS. In: KIDA, S. (eds) IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamics. Fluid Mechanics and Its Applications, vol 79. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4181-0_6
Download citation
DOI: https://doi.org/10.1007/1-4020-4181-0_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4180-8
Online ISBN: 978-1-4020-4181-5
eBook Packages: EngineeringEngineering (R0)