Abstract
It is of this paper the goal to study the turbulent wall where structures abound whose effect is profound even though their size is small.
It will thus first be shown that the wall can survive on its own without any interaction, save perhaps in the form of a passive reaction, with the turbulent flow higher on.
What makes this wall layer unique is a steady nonlinear streak which cycles chaotically while deforming locally, and which organises into objects of much larger sizes.
The rest of this paper is concerned with it.
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References
Andersson, P., Berggren, M. & Henningson, D.S. 1999 Optimal disturbances and bypass transition in boundary layers, Phys. Fluids, 11, 134–150.
Blackwelder, R. & Eckelmann, H. 1979 Streamwise vortices associated with the bursting phenomenon. J. Fluid Mech.94, 577–594.
Del Álamo, J.C. 2001 The large-scale organization of turbulent channels, Ph. D. Thesis, U. Politécnica Madrid.
Fernholz, H.H., & Finley, P.J. 1996 The incompressible zero-pressure-gradient turbulent boundary layer: an assessment of the data. Prog. Aerospace Sci.32, 245–311.
Hamilton, J.M., Kim, J. & Waleffe, F. 1995 Regeneration mechanisms of near-wall turbulence structures. J. Fluid Mech.287, 317–348.
Hites, M.H. 1997 Scaling of high-Reynolds number turbulent boundary layers in the National Diagnostic Facility, Ph. D. Thesis, Illinois Inst. of Technology.
Holmes, P., Lumley, J.L. & Berkooz, G. 1996 Turbulence, coherent structures, dynamical systems and symmetry, Cambridge Univ. Press.
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. 1994 On the structure and control of near-wall turbulence. Phys. Fluids6, 944–953.
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, J. Fluid Mech., 435, 81–91.
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.D. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech.177, 133–166.
Landahl, M.T. & Mollo-Christensen, E. 1992 Turbulence and random processes in fluid mechanics, Cambridge Univ. Press.
Lee, M.J., Kim, J. & Moin, P. 1990 Structure of turbulence at high shear rate, J. Fluid Mech.216, 561–583.
Moser, R.D., Kim, J. & Mansour, N.N. 1999 Direct numerical simulation of a turbulent channel flow up to Reτ=590. Phys. Fluids11, 943–945.
Orlandi, P. & Jiménez, J. 1994 On the generation of turbulent wall friction. Phys. Fluids6, 634–641.
Österlund, J.M., Johansson, A.V., Nagib, H.M. & Hites, M.H. 2000 A note on the overlap region of turbulent boundary layers, Phys. Fluids12, 1–4.
Österlund, J.M., Johansson, A.V., Nagib, H.M. & Hites, M.H. 2000 Spectral characteristics of the overlap region in turbulent boundary layers. Extended abstract to ICTAM 2000, Chicago, August 2000.
Robinson, S.K. 1991 Coherent motions in the turbulent boundary layer. Ann. Rev. Fluid Mech.23, 601–639.
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.
Toh, S. & Itano, T. 2001 On the regeneration mechanism of turbulence in the channel flow — role of the traveling-wave solution. In Proc. IUTAM Symp. on Geometry and Statistics of Turbulence (ed. T. Kambe, T. Nakano & T. Miyauchi), pp. 305–310. Kluwer.
Townsend, A.A. 1976 The structure of turbulent shear flow. Cambridge U. Press, second edition, pg. 135.
Waleffe, F. 1997 On a self-sustaining process in shear flows, Phys. Fluids9, 883–900.
Waleffe, F. 1998 Three-dimensional coherent states in plane shear flows. Phys. Rev. Letters81, 4140–4143.
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Jiménez, J. (2002). Coherent dynamics in wall turbulence. In: Bajer, K., Moffatt, H.K. (eds) Tubes, Sheets and Singularities in Fluid Dynamics. Fluid Mechanics and Its Applications, vol 71. Springer, Dordrecht. https://doi.org/10.1007/0-306-48420-X_30
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DOI: https://doi.org/10.1007/0-306-48420-X_30
Publisher Name: Springer, Dordrecht
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