Applied Scientific Research

, Volume 54, Issue 4, pp 349–385 | Cite as

Coherent structures and riblets

  • Sedat F. Tardu
Article

Abstract

This work deals with the effect of the riblets on the coherent structures near the wall. The emphasis is put on the genesis of the quasi-streamwise vortices in the presence of the riblets. The quasi-streamwise vortices regenerate by the tilting of wall normal vorticity induced by prevailing structures. This requires a mechanism which leads to a temporal streamwise dependence near the elongated flow structures and to a subsequent formation of new wall normal vorticity. It is suggested here that the action of existing quasi-streamwise vortices on the sidewalls of wall normal vorticity may create a local, streamwise dependent spanwise velocity and therefore, a secondary wall normal vorticity field. A preliminary analysis of the set-up and the time and space development of this secondary three-dimensional flow associated with the regeneration mechanism, is given. An attempt is made, in order to explain the drag reduction performed by the riblets through an intermittent model, based on the protrusion height. Logical estimates of the amount of drag reduction are obtained. The differences between the mechanism suggested here and those based on forced control experiments are also discussed.

Key words

near wall turbulence regeneration of the quasi-streamwise vortices (QSV) set-up of three dimensionality near the QSVs effect of the riblets forced control experiments 

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References

  1. 1.
    Bacher E.V. and Smith, C.R., A combined visualization-anemometry study of the turbulent drag reducing mechanism of triangular micro-grove surface modifications. AIAA paper AIAA-85-0548 (1985).Google Scholar
  2. 2.
    Bechert, D. W. and Bartenwerfer, M., The viscous flow on surfaces with longitudinal ribs.J. Fluid Mech. 206 (1989) 105.Google Scholar
  3. 3.
    Bechert, D.W., Bartenwerfer, M. and Hoppe, G., Turbulent drag reduction by nonplanar surfaces — A survey on the research at TU/DLR Berlin. In: Gyr, A. (ed.),Proc. IUTAM Symp. Structure of Turbulence and Drag Reduction, Zurich, 25–28 July 1989. Berlin: Springer-Verlag (1990) pp. 525–543.Google Scholar
  4. 4.
    Benhalilou, M., Anselmet, F. and Fulachier L., Conditional Reynolds stress on a V-grooved surface.Phys. Fluids 6(6) (1994) 2101.Google Scholar
  5. 5.
    Bernard, P.-S., Thomas, J.-M. and Handler, R.-A., Vortex dynamics and the production of Reynolds stress.J. Fluid Mech. 253 (1993) 385.Google Scholar
  6. 6.
    Brooke, J.-W. and Hanratty, T.J., Origin of turbulence-producing eddies in a channel flow.Phys. Fluids A5(4) (1993) 1011.Google Scholar
  7. 7.
    Choi, K.-S., Near-wall structure of a turbulent boundary layer with riblets.J. Fluid Mech. 298 (1989) 417.Google Scholar
  8. 8.
    Choi, H., Moin, P. and Kim, J., Direct numerical simulation of turbulent flow over riblets. CTR Manuscript, Stanford University, Stanford, CA 94305-3030 (1992); also,J. Fluid Mech. 255 (1993) 503.Google Scholar
  9. 9.
    Chu, D.C. and Karniadakis, G.E., A direct numerical simulation of laminar and turbulent flow over riblet mounted surfaces.J. Fluid Mech. 250 (1993) 1.Google Scholar
  10. 10.
    Corcos, G.M. and Shermann, F.S., The mixing layer: Deterministic models of a turbulent flow. Part 1: Introduction and the two-dimensional flow.J. Fluid Mech. 139 (1984) 29.Google Scholar
  11. 11.
    Corcos, G.M. and Lin, S.J., The mixing layer: Deterministic models of a turbulent flow. Part 2: The origin of the three dimensional motion.J. Fluid Mech. 139 (1984) 67.Google Scholar
  12. 12.
    Doligalski, T.-L. and Walker, J.D.-A., The boundary layer induced by a convected two-dimensional vortex.J. Fluid Mech. 139 (1984) 1.Google Scholar
  13. 13.
    Gallagher, J.A. and Thomas, S.W., Turbulent boundary layer characteristics over streamwise grooves. AIAA Paper 84-2185 (1984).Google Scholar
  14. 14.
    Hamilton, J.M, Kim, J. and Waleffe, F., Regeneration of near-wall turbulence structures. In:Ninth Symp. on Turbulent Shear Flows, Kyoto, Japan, August 16–18 (1993) pp. 11-5-1/11-5-6.Google Scholar
  15. 15.
    Hooshmand, D., Youngs, R. and Wallace, J.M., An experimental study of changes in the structure of a turbulent boundary layer due to surface geometry changes. AIAA paper AIAA-83-0230 (1983).Google Scholar
  16. 16.
    Jiménez, J. and Moin, K., The minimal flow unit in near wall turbulence.J. Fluid Mech. 225 (1991) 213.Google Scholar
  17. 17.
    Jiménez, J., Kinematic alignment effects in turbulent flows.Phys. Fluids A4(4) (1992) 652.Google Scholar
  18. 18.
    Jiménez, J. and Orlandi, P., The rollup of a vortex layer near a wall.J. Fluid Mech. 248 (1993) 297.Google Scholar
  19. 19.
    Jiménez, J., On the structure and control of near wall turbulence.Phys. Fluids 6(2) (1994) 944.Google Scholar
  20. 20.
    Kawahara, G., Ayukawa, K. and Ochi, J., On the origin of streaky structures in wall-bounded turbulent flows. In: So, R.M.C, Speziale, C.G. and Launder, B.E. (eds),Near Wall Turbulent Flows. Amsterdam: Elsevier (1993) pp. 403–412.Google Scholar
  21. 21.
    Landahl, M.T., On sublayer streaks.J. Fluid Mech. 212 (1990) 593.Google Scholar
  22. 22.
    Lightill, M.J., In: Rosenhead, L. (ed.),Boundary Layer Theory in Laminar Boundary Layers. Oxford: Oxford University Press (1963) Ch. 11.Google Scholar
  23. 23.
    Luchini, P., Manzo, F. and Pozzi, A., Resistance of a grooved surface to parallel and cross-flow.J. Fluid Mech. 228 (1991) 87.Google Scholar
  24. 24.
    Luchik, T.S. and Tiederman, W.G., Timescale and structure of ejections and bursts in turbulent channel flows.J. Fluid Mech. 174 (1987) 529.Google Scholar
  25. 25.
    Lumley, J.L. and Kubo, I., Turbulent drag reduction by polymer additives: A survey. Sibley School of Mech. and Aero. Eng., Rep. FDA-84-07, Cornell University, Ithaca, NY (1984).Google Scholar
  26. 26.
    Naguib, A.M. and Wark, C.E., An investigation of wall-layer dynamics using a combined temporal filtering and correlation technique.J. Fluid Mech. 243 (1992) 541.Google Scholar
  27. 27.
    Orlandi, P. and Jiménez, J., A model for bursting of near wall vortical structures in boundary layers. In:Eight Symposium on Turbulent Shear Flows, Technical University of Munich, September 9–11. (1991) pp. 28-1-1/28-1-6.Google Scholar
  28. 28.
    Orlandi P. and Jiménez, J., On the generation of turbulent wall friction.Phys. Fluids 6(2) (1994) 634.Google Scholar
  29. 29.
    Phillips, W.R.C., Coherent structures and the generalized Lagrangian mean equation.Appl. Mech. Rev. 43(5) (1990) S227.Google Scholar
  30. 30.
    Phillips, W.R.C., On the etiology of shear layer vortices.Theor. Comput. Fluid Dynamics 2 (1991) 329.Google Scholar
  31. 31.
    Phillips, W.R.C, The genesis of streamwise vortices in a turbulent wall layer. In: Bonnet, J.P. and Glauser, M.N. (eds),Proc. of Iutam Symp. on Eddy Structure Identification in Free Turbulent Shear Flows. Dordrecht: Kluwer Academic Publishers (1993) pp. 35–41.Google Scholar
  32. 32.
    Robinson, S.K., Kline, S.J. and Spalart, P.R., Quasi-coherent structures in the turbulent boundary layer: Part II. Verification and new information from a numerically simulated flat plate layer. In:Zoran P. Zarić Memorial International Seminar on Near-Wall Turbulence, 16–20 May 1988, Dubrovnik, Yugoslavia (1988) pp. 3.1–3.38.Google Scholar
  33. 33.
    Robinson, S.K., The kinematics of turbulent boundary layer structure. NASA Technical Memorandum 103859 (1991).Google Scholar
  34. 34.
    Sendstad, O. and Moin, P., The near wall mechanics of three-dimensional turbulent boundary layers. Thermosciences Div. Rep. TF-57. Stanford University, Department of Mechanical Engineering (1992).Google Scholar
  35. 35.
    Sherman, F.-S.,Viscous Flow. New York: McGraw-Hill (1990).Google Scholar
  36. 36.
    Smith, C.R., Walker, J.D.A, Haidari, A.H. and Sobrun, U., On the dynamics of near wall turbulence.Philos. Trans. R. Soc. London Ser. A336 (1991) 131.Google Scholar
  37. 37.
    Swearingen, J.-D., Blackwelder, R.-F. and Spalart, P.-R., Inflectional instabilities in the wall region of bounded turbulent shear flows. Report CTR-S87 (1987) pp. 291–295.Google Scholar
  38. 38.
    Tang, Y.P. and Clark, D.G., On near-wall turbulence-generating events in a turbulent boundary layer on a riblet surface.Appl. Sci. Research 50 (1993) 215.Google Scholar
  39. 39.
    Tardu, S., Truong, T.V. and Tanguay, B., Bursting and structure of the turbulence in an internal flow manipulated by riblets.Appl. Sci. Res. 50 (1993) 189.Google Scholar
  40. 40.
    Tardu, S., Feng, M.Q. and Binder, G., Quantitative analysis of flow visualizations in an unsteady channel flow.Exp. in Fluids 17 (1994) 158.Google Scholar
  41. 41.
    Taylor, B.-K. and Smith, C.-R., Pressure gradient effect on the development of hairpin vortices in an initially laminar boundary layer. Report FM-15, Lehigh University, Department of Mechanical Engineering and Mechanics (1990).Google Scholar
  42. 42.
    Tullis, S. and Pollard, A., A numerical investigation of the turbulent flow over V and U groove riblets using a viscous wall region model. In: So, R.M.C., Speziale, C.G. and Launder, B.E. (eds.),Near-Wall Turbulent Flows. Amsterdam: Elsevier (1993) pp. 761–770.Google Scholar
  43. 43.
    Tullis, S. and Pollard, A., Modelling the time dependent flow over riblets in the viscous wall region.Appl. Sci. Res. 50 (1993) 299.Google Scholar
  44. 44.
    Vezin, P., Tardu, S. and Binder, G., Space time organization of near wall turbulence in an unsteady channel flow. In:International Symp. on Turbulence, Heat and Mass Transfer, Lisboa, August (1994).Google Scholar
  45. 45.
    Vukoslavcevic, P., Wallace, J.-M. and Balint, J.-L., On the mechanism of viscous drag reduction using streamwise aligned riblets: A review with some results. In:Proceedings on Turbulent Drag Reduction by Passive Means. London: Royal Aeronautical Society (1987) Vol. 290.Google Scholar
  46. 46.
    Vukoslavcevic, P., Wallace, J.-M. and Balint, J.-L., Viscous drag reduction using streamwise aligned riblets.AIAA. J. 30 (1992) 1119.Google Scholar
  47. 47.
    Walker, J.D.A., Wall layer eruptions in turbulent flows. In: Gyr, A. (ed.),2nd IUTAM Symp. on Structure of Turb. and Drag Reduction. Berlin: Springer-Verlag (1989) pp. 59–67; also NASA Tech. Memo. 102362, ICOMP-89-26.Google Scholar
  48. 48.
    Walsh, M.-J., Riblets. In: Bushnell, D.M. and Hefner, J. (eds),Viscous Drag Reduction in Boundary Layers. Progress in Astronautics and Aeronautics, Vol. 123 (1990).Google Scholar

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Sedat F. Tardu
    • 1
  1. 1.Laboratoire des Ecoulements Géophysiques et Industriels, Institut de Mécanique de GrenobleCNRS-UJF-INPGGrenoble CédexFrance

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