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The minimal flow unit in near-wall turbulence

Published online by Cambridge University Press:  26 April 2006

Javier Jiménez  and
Parviz Moin
Javier Jiménez
Affiliation:
Center for Turbulence Research, Stanford University, Stanford, CA 94305. USA and NASA Ames Research Center, Moffett Field, CA 94035, USA Permanent address: School of Aeronautics, U. Politécnica, Madrid, Spain.
Parviz Moin
Affiliation:
Center for Turbulence Research, Stanford University, Stanford, CA 94305. USA and NASA Ames Research Center, Moffett Field, CA 94035, USA
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Abstract

Direct numerical simulations of unsteady channel flow were performed at low to moderate Reynolds numbers on computational boxes chosen small enough so that the flow consists of a doubly periodic (in x and z) array of identical structures. The goal is to isolate the basic flow unit, to study its morphology and dynamics, and to evaluate its contribution to turbulence in fully developed channels. For boxes wider than approximately 100 wall units in the spanwise direction, the flow is turbulent and the low-order turbulence statistics are in good agreement with experiments in the near-wall region. For a narrow range of widths below that threshold, the flow near only one wall remains turbulent, but its statistics are still in fairly good agreement with experimental data when scaled with the local wall stress. For narrower boxes only laminar solutions are found. In all cases, the elementary box contains a single low-velocity streak, consisting of a longitudinal strip on which a thin layer of spanwise vorticity is lifted away from the wall. A fundamental period of intermittency for the regeneration of turbulence is identified, and that process is observed to consist of the wrapping of the wall-layer vorticity around a single inclined longitudinal vortex.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 225 , April 1991 , pp. 213 - 240
Copyright
© 1991 Cambridge University Press

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References

Blackwelder, R. F. & Eckelmann, H., 1979 Streamwise vortices associated with the bursting phenomenon. J. Fluid Mech. 94, 577–594.Google Scholar
Bogard, D. G. & Tiederman, W. G., 1986 Burst detection with single-point velocity measurements. J. Fluid Mech. 162, 389–413.Google Scholar
Clark, J. A. & Marklakd, E., 1971 Flow visualization in turbulent boundary layers. J. Hydraul. Div. ASCE 97, 1635–1664.Google Scholar
Dean, R. B.: 1978 Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow. Trans. ASME I: J. Fluids Engng 100, 215–223.Google Scholar
Eckelmann, H.: 1974 The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow. J. Fluid Mech. 65, 439–459.Google Scholar
Head, M. R. & Bandyopadhyay, P., 1981 New aspects of the boundary layer structure. J. Fluid Mech. 107, 297–338.Google Scholar
Herbert, T.: 1983 Secondary instability of plane channel flow to subharmonic three dimensional disturbances. Phys. Fluids 26, 871–873.Google Scholar
Jang, P. S., Benney, D. J. & Gran, R. L., 1986 On the origin of streamwise vortices in a turbulent boundary layer. J. Fluid Mech. 169, 109–123.Google Scholar
Jiménez, J.: 1988 Bifurcations in Poiseuille flow and wall turbulence. In Proc. AGARD Symp. Fluid Dyn. 3-D Turb. Shear Flows and Transition, Cesme, Turkey, Oct. 3–6, pp. 15.1–15.11.Google Scholar
Jiménez, J.: 1990 Transition to turbulence in two dimensional Poiseuille flow. J. Fluid Mech. 218, 265–297.Google Scholar
Jiménez, J., Moin, P., Moser, R. & Keefe, L., 1988 Ejection mechanism in the sublayer of a turbulent channel. Phys. Fluids 31, 1311–1313.Google Scholar
Johansson, A. V., Her, J.-V. & Haritonidis, J. H. 1987 On the generation of high-amplitude wall-pressure peaks in turbulent boundary layers and spots. J. Fluid Mech. 175, 119–142.Google Scholar
Kim, J. & Moin, P., 1986 Flow structures responsible for the bursting process. Bull. Am. Phys. Soc. 31, 1716.Google Scholar
Kim, J., Moin, P. & Moser, R., 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133–166.Google Scholar
Kleiser, L. & Laurien, E., 1985 Three dimensional numerical simulation of laminar-turbulent transition and its control by periodic disturbances. In Laminar-Turbulent Transition (ed. V. V. Korlov), pp. 29–37. Springer.
Kline, S. J. & Afgan, N. H., 1988 Near Wall Turbulence, Proc. 1988 Zorac Zaric Mem. Conf. Hemisphere.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Rundstadler, P. W., 1967 The structure of the turbulent boundary layer. J. Fluid Mech. 30, 741–773.Google Scholar
May, C. L. & Kleiser, L., 1985 Numerical simulation of subharmonic transition in plane Poiseuille flow. Bull. Am. Phys. Soc. 30, 1748.Google Scholar
Moin, P.: 1987 Analysis of turbulent data generated by numerical simulations. AIAA Paper 87–0194.Google Scholar
Moin, P. & Kim, J., 1985 The structure of the vorticity field in turbulent region flows. Part 1: Analysis of instantaneous fields and statistical correlations. J. Fluid Mech. 155, 441–164.Google Scholar
Nishioka, M. & Asai, M., 1985 Some observations of the subcritical transition in plane Poiseuille flow. J. Fluid Mech. 150, 441–450.Google Scholar
Orlandi, P.: 1990 Vortex dipole rebound from a wall. Phys. Fluids A 2, 1429–1436.Google Scholar
Patel, V. C. & Head, M. R., 1969 Some observations on skin friction and velocity profiles in fully developed pipe and channel flows. J. Fluid Mech. 38, 181–201.Google Scholar
Sankaran, R., Sokolov, M. & Antonia, R. A., 1988 Substructures in a turbulent spot. J. Fluid Mech. 197, 389–414.Google Scholar
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.Google Scholar
Wei, T. & Willmarth, W. W., 1989 Reynolds-number effects on the structure of a turbulent channel flow. J. Fluid Mech. 204, 57–95.Google Scholar
Zhang, Z. & Lilley, G. M., 1981 A theoretical model of the coherent structure of the turbulent boundary layer in zero pressure gradient. In Proc. 3rd Symp. Turb. Shear Flows, Davis, CA, Sept. 9–11, pp. 11.24–11.29.Google Scholar