Hostname: page-component-77c89778f8-cnmwb Total loading time: 0 Render date: 2024-07-18T23:34:29.398Z Has data issue: false hasContentIssue false

Coherent structures in bypass transition induced by a cylinder wake

Published online by Cambridge University Press:  30 April 2008

CHONG PAN
Affiliation:
Institute of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China
JIN JUN WANG
Affiliation:
Institute of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China
PAN FENG ZHANG
Affiliation:
Institute of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China
LI HAO FENG
Affiliation:
Institute of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China

Abstract

Flat-plate boundary layer transition induced by the wake vortex of a two-dimensional circular cylinder is experimentally investigated. Combined visualization and velocity measurements show a different transition route from the Klebanoff mode in free-stream turbulence-induced transition. This transition scenario is mainly characterized as: (i) generation of secondary transverse vortical structures near the flat plate surface in response to the von Kármán vortex street of the cylinder; (ii) formation of hairpin vortices due to the secondary instability of secondary vortical structures; (iii) growth of hairpins which is accelerated by wake-vortex induction; (iv) formation of hairpin packets and the associated streaky structures. Detailed investigation shows that during transition the evolution dynamics and self-sustaining mechanisms of hairpins, hairpin packets and streaks are consistent with those in a turbulent boundary layer. The wake vortex mainly plays the role of generating and destabilizing secondary transverse vortices. After that, the internal mechanisms become dominant and lead to the setting up of a self-sustained turbulent boundary layer.

Type
Papers
Copyright
Copyright © Cambridge University Press 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Acarlar, M. S. & Smith, C. R. 1987 a A study of hairpin vortices in a laminar boundary layer. Part 1. hairpin vortices generated by a hemisphere protuberance. J. Fluid Mech. 175, 141.CrossRefGoogle Scholar
Acarlar, M. S. & Smith, C. R. 1987 b A study of hairpin vortices in a laminar boundary layer. Part 2. hairpin vortices generated by fluid injection. J. Fluid Mech. 175, 4383.CrossRefGoogle Scholar
Adrian, R. J. 2007 Hairpin vortex organization in wall turbulence. Phys. Fluids 19, 041301.CrossRefGoogle Scholar
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, 154.CrossRefGoogle Scholar
Alfredsson, P. H. & Matsubara, M. 1996 Streaky structures in transition. In Proc. Conf. on Transitional Boundary Layers in Aeronautics (ed. Henkes, R. A. W. M. & van Ingen, J. L.). Royal Netherlands Academy of Arts and Sciences, Elsevier.Google Scholar
Alfredsson, P. H. & Matsubara, M. 2000 Free-stream turbulence, streaky structures and transition in boundary layer flow. AIAA Paper 2000-2534.Google Scholar
Andersson, P., Berggren, M. & Henningson, D. S. 1999 Optimal disturbances and bypass transition in boundary layers. Phys. Fluids 11, 134150.CrossRefGoogle Scholar
Angrill, F., Bergamaschi, S. & Cossalter, V. 1982 Investigation of wall induced modifications to vortex shedding from a circular cylinder. Trans. ASME: J. Fluids Engng 104, 518522.Google Scholar
Asai, M., Minagawa, M. & Nishioka, M. 2002 The instability and breakdown of a near-wall low-speed streak. J. Fluid Mech. 455, 289314.CrossRefGoogle Scholar
Bario, F. & Beral, C. 1998 Boundary layer measurements on the pressure and suction sides of a turbine inlet guide vane. Expl Therm. Fluid. Sci. 17, 19.CrossRefGoogle Scholar
Butler, K. M. & Farrell, B. F. 1992 Three-dimensional optimal perturbations in viscous shear flow. Phys. Fluids A 4, 16371650.CrossRefGoogle Scholar
Doligalski, T. L., Smith, C. R. & Walker, J. D. A. 1994 Vortex interactions with walls. Annu. Rev. Fluid Mech. 26, 573616.CrossRefGoogle Scholar
Fransson, J. H. M., Matsubara, M. & Alfredsson, P. H. 2005 Transition induced by free-stream turbulence. J. Fluid Mech. 527, 125.CrossRefGoogle Scholar
Goldstein, M. E., Leib, S. J. & Cowley, S. J. 1992 Distortion of a flat-plate boundary layer by free-stream vorticity normal to the plate. J. Fluid Mech. 237, 231260.CrossRefGoogle Scholar
Haidari, A. H. & Smith, C. R. 1994 The generation and regeneration of single hairpin vortices. J. Fluid Mech. 277, 135162.CrossRefGoogle Scholar
Hancock, P. E. & Bradshaw, P. 1983 The effect of free-stream turbulence on turbulent boundary layers. Trans. ASME: J. Fluids Engng 105, 284289.Google Scholar
Hjelmfelt, A. T. & Mockros, L. F. 1966 Motion of discrete particles in a turbulent fluid. Appl. Sci. Res. 16, 149161.CrossRefGoogle Scholar
Hon, T. L. & Walker, J. D. A. 1991 Evolution of hairpin vortices in a shear flow. Computers Fluids 20, 343358.CrossRefGoogle Scholar
Hultgren, L. S. & Gustavsson, L. H. 1981 Algebraic growth of disturbances in a laminar boundary layer. Phys. Fluids 24, 10001004.CrossRefGoogle Scholar
Kendall, J. M. 1985 Experimental study of disturbances produced in a pretransitional laminar boundary layer by weak free-stream turbulence. AIAA Paper 85-1695.CrossRefGoogle Scholar
Kendall, J. M. 1990 Boundary layer receptivity to freestream turbulence. AIAA Paper 90-1504.CrossRefGoogle Scholar
Klebanoff, P. S. 1971 Effect of free-stream turbulence on a laminar boundary layer. Bull. Am. Phys. Soc. 16, 1323.Google Scholar
Klebanoff, P. S., Tidstrom, K. D. & Sargent, L. M. 1962 The three-dimensional nature of boundary layer instability. J. Fluid Mech. 12, 134.CrossRefGoogle Scholar
Kyriakides, N. K., Kastrinakis, E. G., Nychas, S. G. & Goulas, A. 1999 Aspects of flow structure during a cylinder wake-induced laminar/turbulent transition. AIAA J. 37, 11971205.CrossRefGoogle Scholar
Landahl, M. T. 1980 A note on an algebraic instability of inviscid parallel shear flows. J. Fluid Mech 98, 243251.CrossRefGoogle Scholar
Leib, S. J., Wundrow, D. W. & Goldstein, M. E. 1999 Effect of free-stream turbulence and other vortical disturbances on a laminar boundary layer. J. Fluid Mech 380, 169203.CrossRefGoogle Scholar
Lu, L. J. & Smith, C. R. 1985 Image processing of hydrogen bubble flow visualization for determination of turbulence statistics and bursting characteristics. Exps. Fuids 3, 349356.CrossRefGoogle Scholar
Luchini, P. 2000 Reynolds-number-independent instability of the boundary layer over a flat surface: optimal perturbations. J. Fluid Mech 404, 289309.CrossRefGoogle Scholar
Matsubara, M. & Alfredsson, P. H. 2001 Disturbance growth in boundary layers subjected to free-stream turbulence. J. Fluid Mech. 430, 149168.CrossRefGoogle Scholar
Mayle, R. E. 1991 The role of laminar-turbulent transition in gas turbine engines. Trans. ASME: J. Turbomach. 113, 509537.Google Scholar
Meinhart, C. D. & Adrian, R. J. 1995 On the existence of uniform momentum zones in a turbulent boundary layer. Phys. Fluids 7, 694696.CrossRefGoogle Scholar
Mislevy, S. P. & Wang, T. 1996 The effects of adverse pressure gradients on momentum and thermal structures in transitional boundary layers: Part i- mean quantities. Trans. ASME: J Turbomach. 118, 717727.Google Scholar
Morkovin, M. V. 1969 On the many faces of transition. In Viscous Drag Reduction (ed. Wells, G. S.), pp. 131. Plenum.Google Scholar
Nagarajan, S., Lele, S. K. & Ferziger, J. H. 2007 Leading-edge effects in bypass transition. J. Fluid Mech. 572, 471504.CrossRefGoogle Scholar
Ovchinnikov, V., Piomelli, U. & Choudhari, M. M. 2006 Numerical simulations of boundary-layer transition induced by a cylinder wake. J. Fluid Mech. 547, 413441.CrossRefGoogle Scholar
Robinson, S. K. 1991 Coherent motions in the turbulent boundary layer. Annu. Rev. Fluid Mech. 23, 601639.CrossRefGoogle Scholar
Savill, A. & Zhou, M. 1983 Floquet analysis of secondary instability in shear flows. In Proc. the 2nd Asian Congress of Fluid Mechanics (ed. KoN, M. C.), pp. 743754. Science Press.Google Scholar
Schoppa, W. & Hussain, F. 2002 Coherent structure generation in near-wall turbulence. J. Fluid Mech. 453, 57108.CrossRefGoogle Scholar
Shukhman, I. G. 2006 Evolution of a localized vortex in plane nonparallel viscous flows with constant velocity shear. i. hyperbolic flow. Phys. Fluids 18, 097101.CrossRefGoogle Scholar
Shukhman, I. G. 2007 Evolution of a localized vortex in plane nonparallel viscous flows with constant velocity shear. ii. elliptic flow. Phys. Fluids 19, 017106.CrossRefGoogle Scholar
Singer, B. A. & Joslin, R. D. 1994 Metamorphosis of a hairpin vortex into a young turbulent spot. Phys. Fluids 6, 37243736.CrossRefGoogle Scholar
Skote, M., Haritonidis, J. H. & Henningson, D. S. 2002 Varicose instabilities in turbulent boundary layers. Phys. Fluids 14, 23092323.CrossRefGoogle Scholar
Smith, C. R. & Walker, J. D. A. 1997 Sustaining mechanisms of turbulent boundary layers: The role of vortex development and interactions. In Self-Sustaining Mechanisms of Wall Turbulence (ed. Panton, R. L.). Advances in Fluid Mechanics, vol. 15, pp. 1347. Computational Mechanics Publications.Google Scholar
Squire, L. C. 1989 Interactions between wakes and boundary layers. Prog. Aerospace Sci. 26, 261288.CrossRefGoogle Scholar
Suponitsky, V., Cohen, J. & Bar-Yoseph, P. Z. 2005 The generation of streaks and hairpin vortices from a localized vortex disturbance embedded in unbounded uniform shear flow. J. Fluid Mech. 535, 65100.CrossRefGoogle Scholar
Svizher, A. & Cohen, J. 2006 Holographic particle image velocimetry measurements of hairpin vortices in a subcritical air channel flow. Phys. Fluids 18, 014105.CrossRefGoogle Scholar
Tumin, A. & Reshotko, E. 2001 Spatial theory of optimal disturbances in boundary layers. Phys. Fluids 13, 20972104.CrossRefGoogle Scholar
Westin, K. J. A., Bakchinov, A. A., Kozlov, V. V. & Alfredsson, P. H. 1998 Experiments on localized disturbances in a flat boundary layer. part i: The receptivity and evolution of a localized free stream turbulence. Eur. J. Mech. B/Fluids 17, 823846.CrossRefGoogle Scholar
Willert, C. E. & Gharib, M. 1991 Digital particle image velocimetr. Exps. Fluids 10, 181193.CrossRefGoogle Scholar
Zhou, J., Adrian, R. J., Balachandar, S. & Kendall, T. M. 1999 Mechanism for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387, 353396.CrossRefGoogle Scholar
Zhou, M. D. & Squire, L. C. 1985 the interaction of a wake with a turbulent boundary-layer. J. Aeronaut. 89, 7281.CrossRefGoogle Scholar