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The generation and regeneration of single hairpin vortices

Published online by Cambridge University Press:  26 April 2006

A. H. Haidari  and
C. R. Smith
A. H. Haidari
Affiliation:
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA Presently employed at Fluent Inc., Lebanon. N. H. 03766.
C. R. Smith
Affiliation:
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA
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Abstract

The generation and growth of single hairpin vortices created by controlled surface fluid injection were examined experimentally within a laminar boundary layer over a range of Reynolds numbers. Flow visualization, using both dye and hydrogen bubbles, was employed in conjunction with hot-film anemometry to investigate the growth characteristics and evolution of these single hairpin vortices. Hydrogen-bubble visualization results reveal that the passage of a hairpin vortex can give rise to a low-speed streak pattern adjacent to the surface, and a turbulent pocket-like pattern farther removed from the surface. When the displacement and injection Reynolds numbers exceed critical levels, regeneration processes occur, which result in the development of new hairpin-like vortices by both (i) lateral deformation of the vortex lines comprising the initial hairpin vortex and (ii) a process of vortex-surface interaction, which causes the ejection of surface fluid and subsequent hairpin formation by viscous-inviscid interactions. The combination of these processes results in both lateral and streamwise growth of the initial hairpin-vortex structure, yielding a symmetric turbulent-spot type of behaviour.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 277 , 25 October 1994 , pp. 135 - 162
Copyright
© 1994 Cambridge University Press

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References

Acarlar, M. S. & Smith, C. R. 1987a A study of hairpin vortices in a laminar boundary layer. Part 1. Hairpin vortices generated by hemisphere protuberance. J. Fluid Mech. 175, 1–41.Google Scholar
Acarlar, M. S. & Smith, C. R. 1987b A study of hairpin vortices in a laminar boundary layer. Part 2. Hairpin vortices generated by fluid injection. J. Fluid Mech. 175, 43–83Google Scholar
Blackwelder, R. F. 1978 The bursting process in turbulent boundary layers. Lehigh Workshop on Coherent Structure in Turbulent Boundary Layers (ed. C. R. Smith & D. E. Abbott), pp. 211–227.
Bogard, D. G. & Tiederman, W. G. 1986 Burst detection with single-point velocity measurements. J. Fluid Mech. 162, 389–413.Google Scholar
Coles, D. E. & Barker, S. J. 1975 Some remarks on a synthetic turbulent boundary layer. In Turbulent Mixing in Non reactive and Reactive Flows (ed. S. N. B. Murthy), pp. 285–292. Plenum.
Ersoy, S. & Walker, J. D. A. 1986 Flow induced at a wall by a vortex pair. AIAA J. 24, 1597–1607.Google Scholar
Falco, R. E. 1991 A coherent structure model of the turbulent boundary layer and its ability to predict Reynolds number dependence. Phil. Trans. R. Soc. Lond. A 336, 103–129.Google Scholar
Haidari, A. H. 1990 Generation and growth of single hairpin vortices. PhD dissertation, Lehigh University.
Haji-Haidari, A. & Smith, C. R. 1988 Development of the turbulent near-wake of a tapered thick flat plate. J. Fluid Mech. 189, 135–163.Google Scholar
Head, M. R. & Bandyopadhyay, P. 1981 New aspects of turbulent boundary-layer structure. J. Fluid Mech. 107, 297–337.Google Scholar
Hon, T. L. & Walker, J. D. A. 1987 An analysis of the motion and effects of hairpin vortices. Tech. Rep. FM-11. Department of M.E. and Mech., Lehigh University, Bethlehem, PA.
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1971 The production of turbulence near a smooth wall in a turbulent boundary layer. J. Fluid Mech. 50, 133–160.Google Scholar
Kim, J. 1987 Evolution of a vortical structure associated with the bursting event in a channel flow. Turbulent Shear Flows, 5 (ed. F. Durst et al.), pp. 221–233. Springer.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741–773.Google Scholar
Kral, L. D. & Fasel, H. F. 1989 Numerical investigation of the control of the secondary instability process in boundary layers. AIAA, 2nd Shear Flow Conf., Tucson. Arizona, March 13–16.
Lu, L. J. & Smith, C. R. 1991 Use of quantitative flow visualization data for examination of spatial-temporal velocity and burst-type characteristics in a turbulent boundary layer. J. Fluid Mech. 232, 303–340.Google Scholar
Matsui, T. 1980 Visualization of turbulent spots in the boundary layer along a flat plate in a water flow. In Laminar-Turbulent Transition (ed. R. Eppler & H. Fasel), pp. 288–296. Springer.
Offen, G. R. & Kline, S. J. 1975 A proposed model of the bursting process in turbulent boundary layers. J. Fluid Mech. 70, 209–228.Google Scholar
Peridier, V. J., Smith, F. T. & Walker, J. D. A. 1991 Vortex-induced boundary-layer separation. Part 2. Unsteady interacting boundary-layer theory. J. Fluid Mech. 232, 133–165.Google Scholar
Peridier, V. J. & Walker, J. D. A. 1989 Vortex-induced boundary-layer separation. Tech. Rep. FM-13. Department of M.E. and Mech., Lehigh University, Bethlehem, PA.
Perry, A. E. & Chong, M. S. 1982 On the mechanism of wall turbulence. J. Fluid Mech. 119, 173–217.Google Scholar
Perry, A. E., Henbest, S. & Chong, M. S. 1986 A theoretical and experimental study of wall turbulence. J. Fluid Mech. 165, 163–199.Google Scholar
Perry, A. E., Lim, T. T. & Teh, E. W. 1981 A visual study of turbulent spots. J. Fluid Mech. 104, 387–405.Google Scholar
Robinson, S. K. 1991 Coherent motions in the turbulent boundary layer. Ann. Rev. Fluid Mech. 23, 601–639.Google Scholar
Sankaran, R., Sokolov, M. & Antonia, R. A. 1988 Substructures in a turbulent spot. J. Fluid Mech. 197, 389–414.Google Scholar
Schlichting, H. 1979 Boundary Layer Theory, pp. 469–470. McGraw-Hill.
Smith, C. R. 1984 A synthesized model of the near-wall behavior in turbulent boundary layers. Proc. Eighth Symp. on Turbulence (ed. G. K. Patterson & J. K. Zakin). University of Missouri- Rolla, Dept of Chem. Engng, Rolla, Missouri.
Smith, C. R. 1993 Use of kernel experiments for modeling of near-wall turbulence. In Near-Wall Turbulent Flows (ed. R. M. C. So, C. G. Speziale & B. E. Launder), pp. 33–42. Elsevier.
Smith, C. R. & Metzler, S. P 1983 Characteristics of low-speed streaks in the near-wall region of a turbulent boundary layer. J. Fluid Mech. 129, 27–54.Google Scholar
Smith, C. R., Walker, J. D. A., Haidari, A. H. & Sobrun, U. 1991 On the dynamics of near-wall turbulence. Phil. Trans. R. Soc. Lond. A 336, 131–175.Google Scholar
Theodorsen, T. 1952 Mechanism of turbulence. Proc. Second Midwestern Conf. of Fluid Mechanics, Ohio State University, Columbus, Ohio, pp. 1–19.
Van Dommelen, L. L. & Cowley, S. J. 1990 On the Lagrangian description of unsteady boundary layer separation. Part 1. General theory. J. Fluid Mech. 210, 593–626.Google Scholar
Wallace, J. M. 1983 On the structure of bounded turbulent shear flow: A personal view. In Development in Theoretical and Applied Mechanics, XI (ed. T. J. Chung & G. Karr), p. 509. University of Alabama in Huntsville, Dept of Mech. Engrg., Huntsville, Alabama.
Willmarth, W. W. & Tu, B. J. 1967 Structure of turbulence of the boundary layer near the wall. Phys. Fluids 10, S137–S137.Google Scholar
Wygnanski, I. 1978 On the possible relationship between the transition process and the large coherent structures in turbulent boundary layers. Lehigh Workshop on Coherent Structure in Turbulent Boundary Layers (ed. C. R. Smith & D. E. Abbott), pp. 168–193.