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An interactive bypass transition mechanism in wall-bounded flows



The interaction between two localized disturbances is analysed in a subcritical channel flow through direct numerical simulations. The initial perturbations are in the form of two pairs of counter-rotating vortices. One of them interacts with the wall-normal vorticity layers set up near the wall, by locally compressing or stretching part of them through the straining motion it induces. The breakdown of spanwise symmetry leads to the rapid development of a new wall-normal vorticity patch that is tilted by the shear and rolls up into a new small-scale streamwise vortex. The process results in a localized turbulent spot at later stages of development. A detailed analysis is carried out to determine the role of different parameters entering the physics of the mechanism. Several critical thresholds that trigger the interactive bypass transition process are found and analysed. The similarity parameters resulting from the parametric investigation coincide well with those governing the self-sustaining Reynolds-shear-stress-producing eddies in the buffer layer of a fully developed turbulent wall flow. It is suggested that the mechanism we propose may play a role in the regeneration cycle of the near-wall turbulence-generating structures by bypassing the three-dimensional streak instability mechanism.



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Adrian, R. J. 2007 Hairpin vortex organization in wall turbulence. Phys. Fluids 19, 041301.
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, 153.
Asai, M., Minagawa, M. & Nishioka, M. 2002 The instability and breakdown of a near wall low-speed streak. J. Fluid Mech. 455, 289314.
Bakchinov, A. A., Westin, K. J., Kozlov, V. V. & Alfredsson, P. H. 1998 Experiments on localized disturbances in a plate boundary layer. Part 2. Interaction between localized disturbances and T-S waves. Eur. J. Mech. B/Fluids 17, 847873.
Bech, K. H., Henningson, D. S. & Henkes, R. W. M. 1998 Linear and nonlinear development of localized disturbances in zero and adverse pressure gradient boundary layer. Phys. Fluids 10, 14051418.
Bernard, P.-S., Thomas, J.-M. & Handler, R.-A. 1993 Vortex dynamics and the production of Reynolds stress. J. Fluid Mech. 253, 385419.
Brooke, J.-W. & Hanratty, T. J. 1993 Origin of turbulence-producing eddies in a channel flow. Phys. Fluids A 5, 1011–.
Butler, K. M. & Farrell, B. F. 1992 Three-dimensional optimal perturbations in viscous shear flow. Phys. Fluids A 4, 1637–.
Corcos, G. M. & Shermann, F. S. 1984 The mixing layer: deterministic models of a turbulent flow. Part 1. Introduction and the two-dimensional flow. J. Fluid Mech. 139, 2965.
Doligalski, T. L. & Walker, J. D. A. 1984 The boundary layer induced by a convected two-dimensional vortex. J. Fluid Mech. 139, 128.
Gustavsson, L. H. 1991 Energy growth of three-dimensional disturbances in plane Poiseuille flow. J. Fluid Mech. 224, 241260.
Hamilton, J. M., Kim, J. & Waleffe, F. 1995 Regeneration mechanism of near-wall turbulence structures. J. Fluid Mech. 287, 317348.
Henningson, D. S., Lundbladh, A. & Johansson, A. 1993 A mechanism for bypass transition from localized disturbances in wall-bounded shear flows. J. Fluid Mech. 250, 169207.
Jeong, J. & Hussain, F. 1995 On the identification of a vortex. J. Fluid Mech. 285, 6994.
Jeong, J., Hussain, F., Schoppa, W. & Kim, J. 1997 Coherent structures near the wall in a turbulent channel flow. J. Fluid Mech. 332, 185214.
Jiménez, J. 1992 Kinematic alignment effects in turbulent flows. Phys. Fluids A 4, 652
Jiménez, J. 1994 On the structure and control of wall turbulence. Phys. Fluids 6 944953.
Jiménez, J. & Moin, K. 1991 The minimal flow unit in near wall turbulence. J. Fluid Mech. 225, 213240.
Jiménez, J. & Orlandi, P. 1993 The roll-up of a vortex layer near a wall. J. Fluid Mech. 248, 297313.
Jiménez, J. & Pinelli, A. 1999 The autonomous cycle of near-wall turbulence. J. Fluid Mech. 389, 335359.
Kawahara, G., Jiménez, J., Uhlmann, M. & Pinelli, A. 1998 The instability of streaks in near wall turbulence. Annual Research Briefs, Center for Turbulence Research, Stanford, pp. 155–170.
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133166.
Landahl, M. T. 1980 A note on an algebraic instability of inviscid parallel shear flows. J. Fluid Mech. 98, 243251.
Luchik, T. S. & Tiederman, W. G. 1987 Timescale and structure of ejections and bursts in turbulent channel flows. J. Fluid Mech. 174, 529552.
Matsubara, M., Bakchinov, A. A., Fransson, J. H. & Alfredsson, P. H. 2000 Growth and breakdown of streaky structures in boundary-layer transition induced by freestream turbulence. In Laminar-Turbulent Transition (ed. Fasel, H. & Saric, W.), pp. 371376. Springer.
Morkovin, M. V. 1969 The many faces of transition. In Viscous Drag Reduction (ed. Wells, C. S.). Plenum.
Orlandi, P. 2001 Fluid Flow Phenomena. A Numerical Toolkit. Kluwer.
Orlandi, P. & Jiménez, J. 1994 On the generation of turbulent wall friction. Phys. Fluids 6, 634.
Reddy, S. C. & Henningson, D. S. 1993 Energy growth in viscous channel flows. J. Fluid Mech. 252, 209238.
Robinson, S.-K. 1991 The kinematics of turbulent boundary layer structure. NASA Tech. Mem. 103859.
Sankaran, R., Sokolov, M. & Antonia, R. A. 1998 Substructures in a turbulent spot. J. Fluid Mech. 197, 389414.
Schoppa, W. & Hussain, F. 1997 Genesis and dynamics of coherent structures in near-wall turbulence: a new look. In Self-Sustaining Mechanisms of Wall Turbulence (ed. Panton, R. L.), pp. 385422. Computational Mechanics Publications, Southampton.
Schoppa, W. & Hussain, F. 2000 Generation of near-wall coherent structures in a turbulent boundary layer. Current Sci, 79, 849858.
Sendstad, O. & Moin, P. 1992 The near wall mechanics of three-dimensional turbulent boundary layers Stanford Univ. Dept. of Mech. Engineering, Thermosciences Div. Rep. TF-57.
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
Swearingen, J. D., Blackwelder, R. F. 1987 The growth and breakdown of streamwise vortices in the presence of the wall. J. Fluid Mech. 182, 255290.
Swearingen, J. D., Blackwelder, R. F. & Spalart, P.-R. 1987 Inflectional instabilities in the wall region of bounded turbulent shear flows. Report CTR-S87, pp. 291–295.
Tardu, S. 1995 Characteristics of single and clusters of bursting events in the inner region of a turbulent channel flow; Part 1: Shear layer events. Exps. Fluids 20, 112124.
Tardu, S. 1995 Coherent structures and riblets. Appl. Sci. Res. 54, 349385.
Tardu, S. 2002 Characteristics of single and clusters of bursting events in the inner region of a turbulent channel flow; Part 2: Level crossing events. Exps. Fluids 33, 640652.
Tardu, S. & Nacereddine, R. 2007 Bypass transition through interactions of localized disturbances in wall bounded flows. J. Non-linear Dyna. 50, 767779.
Tardu, S. & Nacereddine, R. 2008 A new active micromixing strategy. Heat Transfer Engng (to appear).
Waleffe, F. & Kim, J. 1997 How streamwise rolls and streaks self-sustain in a shear flow. In Self-Sustaining Mechanisms of Wall Turbulence (ed. Panton, R. L.), pp. 309332, Computational Mechanics Publications, Southampton.
Walker, J. D. A. 1989 Wall layer eruptions in turbulent flows. In 2nd IUTAM Symp. on Structure of Turbulence and Drag Reduction (ed. Gyr, A.), pp. 5967Springer; also NASA Tech. Memo. 102362, ICOMP-89–26.
Westin, K. J. A., Bakchinov, A. A., Kozlov, V. V. & Alfredsson, P. H. 1998 Experiments on localized disturbances in a plate boundary layer. Part 1. The receptivity and evolution of a localized free stream disturbance. Eur. J. Mech. B/Fluids 17, 823846.
Zhou, J., Adrian, R. J., Balachandar, S. & Kendall, T. M. 1999 Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387, 353396.
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