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The structure of the vorticity field in turbulent channel flow. Part 1. Analysis of instantaneous fields and statistical correlations

Published online by Cambridge University Press:  20 April 2006

Parviz Moin  and
John Kim
Parviz Moin
Affiliation:
NASA Ames Research Center, Moffett Field, California 94035
John Kim
Affiliation:
NASA Ames Research Center, Moffett Field, California 94035
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Abstract

An investigation into the existence of hairpin vortices in turbulent channel flow is conducted using a database generated by the large-eddy simulation technique. It is shown that away from the wall the distribution of the inclination angle of vorticity vector gains its maximum at about 45° to the wall. Two-point correlations of velocity and vorticity fluctuations strongly support a flow model consisting of vortical structures inclined at 45° to the wall. The instantaneous vorticity vectors plotted in planes inclined at 45° show that the flow contains an appreciable number of hairpins. Vortex lines are used to display the three-dimensional structure of hairpins, which are shown to be generated from deformation (or roll-up) of sheets of transverse vorticity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 155 , June 1985 , pp. 441 - 464
Copyright
© 1985 Cambridge University Press

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References

Acarlar, M. S. & Smith, C. R. 1984 Dept. Mech. Engng & Mech. Report Lehigh University, Bethlehem, PA.
Bakewell, H. P. & Lumley, J. L. 1967 Viscous sublayer and adjacent wall region in turbulent pipe flow. Phys. Fluids 10, 1880.Google Scholar
Blackwelder, R. F. 1978 The bursting process in turbulent boundary layers. In Coherent Structure of Turbulent Boundary Layers (ed. C. R. Smith & D. E. Abbott), p. 211. AFOSR/Lehigh University Workshop, Dept Mech. Engng & Mech., Bethlehem, PA.
Blackwelder, R. F. & Eckelmann, H. 1979 Streamwise vortices associated with the bursting phenomenon. J. Fluid Mech. 94, 577.Google Scholar
Blackwelder, R. F. & Kovasznay, L. S. G. 1972 Time scales and correlations in a turbulent boundary layer. Phys. Fluids 15, 1545.Google Scholar
Brown, G. L. & Thomas, A. S. W. 1977 Large structure in a turbulent boundary layer. Phys. Fluids 20, S243.Google Scholar
Chen, C. H. P. & Blackwelder, R. F. 1978 Large scale motion in a turbulent boundary layer: a study using temperature contamination. J. Fluid Mech. 89, 1.Google Scholar
Clark, J. A. & Markland, E. 1971 Flow visualization in turbulent boundary layers. J. Hydr. Div. ASCE 97, 1653.Google Scholar
Coles, D. 1978 A model for flow in the viscous sublayer. In Coherent Structure of Turbulent Boundary Layers (ed. C. R. Smith & D. E. Abbott), p. 462. AFOSR/Lehigh University Workshop, Dept Mech. Engng & Mech., Bethlehem, PA.
Deissler, R. G. 1969 Direction of maximum turbulent vorticity in a shear flow. Phys. Fluids 12, 426.Google Scholar
Falco, R. E. 1977 Coherent motions in the outer region of turbulent boundary layers. Phys. Fluids 20, S124.Google Scholar
Favre, A. J., Gaviglio, J. J. & Dumas, R. 1957 Space–time double correlation and spectra in a turbulent boundary layer. J. Fluid Mech. 2, 313.Google Scholar
Grant, H. L. 1958 The large eddies of turbulent motion. J. Fluid Mech. 4, 149.Google Scholar
Hama, F. R. 1962 Progressive deformation of a curved vortex filament by its own induction. Phys. Fluids 5, 1156.Google Scholar
Hama, F. R. & Nutant, J. 1961 Self-induced velocity on a curved vortex. Phys. Fluids 4, 28.Google Scholar
Head, M. R. & Bandyopadhyay, P. 1981 New aspects of turbulent boundary layer structure. J. Fluid Mech. 107, 297.Google Scholar
Hinze, J. O. 1975 Turbulence, 2nd edn. McGraw-Hill.
Kim, J. 1983 On the structure of wall-bounded turbulent flows. Phys. Fluids 26, 2088.Google Scholar
Kim, J. & Moin, P. 1979 Large eddy simulation of turbulent channel flow - ILLIACIV calculation. In Turbulent Boundary-layers - Experiments, Theory, and Modeling, The Hague, Netherlands. AGARD Conf. Proc. no. 271.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741.Google Scholar
Kovasznay, L. S. G., Kibens, V. & Blackwelder, R. F. 1970 Large-scale motion in the intermittent region of a turbulent boundary layer. J. Fluid Mech. 41, 283.Google Scholar
Kreplin, H. & Eckelmann, H. 1979 Propagation of perturbations in the viscous sublayer and adjacent wall regions. J. Fluid Mech. 95, 305.Google Scholar
Lee, M. K., Eckelman, L. D. & Hanratty, T. J. 1974 Identification of turbulent wall eddies through the phase relation of the components of the fluctuating velocity gradient. J. Fluid Mech. 66, 17.Google Scholar
Lumley, J. L. 1967 The structure of inhomogeneous turbulent flows. In Atmospheric Turbulence and Radio Wave Propagation (ed. A. M. Yaglom & V. I. Tatarsky), pp. 166. NAUKA, Moscow.
Moin, P. 1984 Probing turbulence via large eddy simulation. AIAA Paper 84–0174.
Moin, P. & Kim, J. 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341.Google Scholar
Moser, R. D. & Moin, P. 1984 Direct numerical simulation of curved turbulent channel flow. NASA TM 85974. Also, Report TF-20, Department of Mech. Engng, Stanford Univ., Stanford Calif.
Offen, G. R. & Kline, S. J. 1973 Experiments on the velocity characteristic of ‘bursts’ and on the interaction between the inner and outer regions of the turbulent boundary layer. Stanford Univ. Mech. Engng Dept. Rep. MD-31.
Perry, A. E. & Chong, M. S. 1982 On the mechanism of wall turbulence. J. Fluid Mech. 119, 173.Google Scholar
Smith, C. R. 1978 Visualization of turbulent boundary layer structure using a moving hydrogen bubble wire probe. In Coherent Structure of Turbulent Boundary Layers (ed. C. R. Smith & D. E. Abbott), p. 48. AFOSR/Lehigh University Workshop, Dept Mech. Engng & Mech., Bethlehem, PA.
Smith, C. R. 1984 A synthesized model of the near-wall behavior in turbulent boundary layers. In Proc. of 8th Symp. on Turbulence (ed. G. K. Patterson & J. L. Zakin), Dept of Chem. Engng, University of Missouri-Rolla.
Smith, C. R. & Schwartz, S. P. 1983 Observation of streamwise rotation in the near-wall region of a turbulent boundary layer. Phys. Fluids 26, 641.Google Scholar
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
Theodorsen, T. 1952 Mechanism of turbulence. In Proc. 2nd Midwestern Conf. on Fluid Mech. Ohio State University, Columbus, Ohio.
Townsend, A. A. 1970 Entrainment and the structure of turbulent flow. J. Fluid Mech. 41, 13.Google Scholar
Townsend, A. A. 1976 The structure of turbulent shear flow. Cambridge University Press.
Tritton, D. J. 1967 Some new correlation measurements in a turbulent boundary layer. J. Fluid Mech. 28, 439.Google Scholar
Wallace, J. M. 1982 On the structure of bounded turbulent shear flow: a personal view. In Developments in Theoretical and Applied Mechanics, XI (ed. T. J. Chung & G. R. Karr), p. 509. Dept of Mech. Engng, University of Alabama in Huntsville.
Weske, J. R. & Polantholt, A. H. 1953 Discrete vortex systems in the transition range in fully developed flow in a pipe. J. Aero. Sci. 20, 717.Google Scholar
Willmarth, W. W. & Lu, S. S. 1972 Structure of the Reynolds stress near the wall. J. Fluid Mech. 55, 65.Google Scholar
Willmarth, W. W. & Tu, B. J. 1967 Structure of turbulence in the boundary layer near the wall. Phys. Fluids 10, S134.Google Scholar