Skip to main content

A Review of Vortex Structures and Associated Coherent Motions in Turbulent Boundary Layers

  • Conference paper
Structure of Turbulence and Drag Reduction

Abstract

The experimental and computational evidence for the existence and role of vortices in turbulent boundary layers is briefly reviewed. Quasi-streamwise and transverse vortices are considered, and various published conceptual models for horseshoe-like vortical structures are compared. The causes for upright and inverted horseshoe-shaped vorticity lines are discussed, and the distinction between vorticity lines and vortices is demonstrated. Finally, results from a numerically-simulated turbulent boundary layer are used to compute distributions of diameter, height, and strength for quasi-streamwise and spanwise vortices. These results confirm that quasi-streamwise vortices are clustered near the wall, while spanwise vortices are distributed throughout the layer. The variation of spanwise vortex core diameter with distance from the wall is found to be consistent with the mixing-length distribution for a boundary layer.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Acarlar, M.S. and Smith, C.R., A Study of Hairpin Vortices in a Laminar Boundary Layer. Part I: Hairpin Vortices Generated by a Hemisphere Protuberance, J. Fluid Mech., vol. 175, p. 1, 1987.

    Article  ADS  Google Scholar 

  • Acarlar, M.S. and Smith, C.R., A Study of Hairpin Vortices in a Laminar Boundary Layer. Part II: Hairpin Vortices Generated by Fluid Injection, J. Fluid Mech., vol. 175, p. 43, 1987.

    Article  ADS  Google Scholar 

  • Adrian, R.J., Linking Correlations and Structure: Stochastic Estimation and Conditional Averaging, Near Wall Turbulence: 1988 Zaric Memorial Conference, Hemisphere, 1989.

    Google Scholar 

  • Antonia, R.A., Browne, L.W.B., and Bisset, D.K., Effect of Reynolds Number on the Organised Motion in a Turbulent Boundary Layer, Near Wall Turbulence: 1988 Zaric Memorial Conference, Hemisphere, 1989.

    Google Scholar 

  • Aubrey, N., Holmes, P., Lumley, J.L., and Stone, E., The Dynamics of Coherent Structures in the Wall Region of a Turbulent Boundary Layer, J. Fluid Mech, vol. 192, p. 115, 1988.

    Article  MathSciNet  ADS  Google Scholar 

  • Bakewell, H.P. and Lumley, J.L., Viscous Sublayer and Adjacent Wall Region in Turbulent Pipe Flow, Phys. Fluids, vol. 10, no. 9, p. 1880, 1967.

    Article  ADS  Google Scholar 

  • Black, T.J., An Analytical Study of the Measured Wall Pressure Field Under Supersonic Turbulent Boundary Layers, NASA CR-888,1968.

    Google Scholar 

  • Blackwelder, R.F. and Eckelmann, IL, Streamwise Vortices Associated with the Bursting Phenomenon, J. Fluid Mech., vol. 94, p. 577, 1979.

    Article  ADS  Google Scholar 

  • Blackwelder, R.F. and Kovasznay, L.S.G., Time Scales and Correlations in a Turbulent Boundary Layer, Phys. Fluids, vol. 15, no. 9, p. 1545, 1972.

    Article  ADS  Google Scholar 

  • Blackwelder, R.F. and Swearingen, J.D., The Role of Inflectional Velocity Profiles in Wall-Bounded Flows, Near Wall Turbulence: 1988 Zaric Memorial Conference, Hemisphere, 1989.

    Google Scholar 

  • Brodkey, R.S., personal communication, 1987.

    Google Scholar 

  • Brown, G.L. and Thomas, A.S.W., Large Structure in a Turbulent Boundary Layer, Phys. Fluids, vol. 20, no. 10, part 2, p. 5243, 1977.

    Google Scholar 

  • Chu, C.C. and Falco, R.E., Vortex Ring/Viscous Wall Layer Interaction Model of the Turbulence Production Process Near Walls, Exp. Fluids, vol. 6, p. 305, 1988.

    Article  Google Scholar 

  • Clark, J.A. and Markland, E., Flow Visualization in Turbulent Boundary Layers, J. Hydr. Div. ASCE, vol 97, p. 1653,1971.

    Google Scholar 

  • Corino, E.R. and Brodkey, R.S., A Visual Investigation of the Wall Region in Turbulent Flow, J. Fluid Mech., vol. 37, part 1, p. 1, 1969.

    Article  ADS  Google Scholar 

  • Corke, T.C., Digital Image Filtering in Visualized Boundary Layers, AIAA J., vol. 22, no. 8, p. 1124, 1984.

    Article  ADS  Google Scholar 

  • Einstein H.A. and Li, II., The Viscous Sublayer Along a Smooth Boundary, J. Eng. Mech., A.S.C.E., vol. 82, no. EM 2, 1956.

    Google Scholar 

  • Ersoy, S. and Walker, J.D.A., The Boundary Layer due to a Three-Dimensional Vortex Loop, AL4.A J., vol. 24, p. 1597, 1986.

    Google Scholar 

  • Falco, R.E., A Synthesis and Model of Wall Region Turbulence Structure, Structure of Turbulence, Heat, and Mass Transfer, p. 124, Hemisphere, 1982.

    Google Scholar 

  • Falco, R.E., New Results, a Review and Synthesis of the Mechanism of Turbulence Production in Boundary Layers and its Modification, AIAA 83–0377, 1983.

    Google Scholar 

  • Fiedler, H.E., Coherent Structures, Advances in Turbulence, Springer-Verlag, p. 320, 1986.

    Google Scholar 

  • Grass, A.J., Structural Features of Turbulent Flow over Smooth and Rough Boundaries,J. Fluid Mech., vol. 50, p. 233, 1971.

    Article  ADS  Google Scholar 

  • Guezennec, Y., Documentation of Large Coherent Structures Associated with Wall Events, Ph.D. Dissertation, Illinois Institute of Technology, 1985.

    Google Scholar 

  • Guezennec, Y., Piomelli, U., and Kim, J., On the Shape and Dynamics of Wall Structures in Turbulent Channel Flow, Phys. Fluids, vol. Al, 1989.

    Google Scholar 

  • Hama, F.R., Progressive Deformation of a Curved Vortex Filament by its own Induction,Phys. Fluids, vol. 5, p. 644, 1962.

    Article  ADS  MATH  Google Scholar 

  • Hanratty, T.J., A Conceptual Model of the Viscous Wall Region, Near Wall Turbulence: 1988 Zaric Memorial Conference, Hemisphere, 1989.

    Google Scholar 

  • Head, M.R. and Bandyopadhyay, P., New Aspects of Turbulent Boundary Layer Structure, J. Fluid Mech., vol. 107, p. 297, 1981.

    Article  ADS  Google Scholar 

  • Herzog, S., The Large-Scale Structure in the Near-Wall Region of Turbulent Pipe Flow, Thesis, Cornell University, 1986.

    Google Scholar 

  • Hinze, J.O., Turbulence, McGraw-Hill, 1975.

    Google Scholar 

  • Jang, P.S., Benney, D.J., Gran, R.L., On the Origin of Streamwise Vortices in a Turbulent Boundary Layer, J. Fluid Mech., vol. 169, p. 109, 1986.

    Article  ADS  MATH  Google Scholar 

  • Kasagi, N., Hirata, M., and Nishino, K., Streamwise Pseudo-Vortical Structures and Associated Vorticity in the Near-Wall Region of a Wall-Bounded Turbulent Shear Flow, Exp. Fluids, vol 4, p. 309, 1986.

    Article  Google Scholar 

  • Kasagi, N., Structural Study of Near-Wall Turbulence and its Heat Transfer Mechanism, Near Wall Turbulence: 1988 Zaric Memorial Conference, Hemisphere, 1989.

    Google Scholar 

  • Kastrinakis, E.G., Wallace, J.M., Willmarth, W.W., Ghorashi, B., and Brodkey, R.S., On the Mechanism of Bounded Turbulent Shear Flows, Lecture Notes in Physics 75, Springer-Verlag, 1978.

    Google Scholar 

  • Kim, J. and Moin, P., The Structure of the Vorticity Field in Turbulent Channel Flow. Part 2: Study of Ensemble-Averaged Fields, J. Fluid Mech., vol. 162, p. 339, 1986.

    Article  ADS  Google Scholar 

  • Kim, H.T., Kline, S.J., and Reynolds, W.C., The Production of Turbulence Near a Smooth Wall in a Turbulent Boundary Layer, J. Fluid Mech., vol. 50, part 1, p. 133, 1971.

    Article  ADS  Google Scholar 

  • Kim, J., Moin, P., and Moser, R.D., Turbulence Statistics in Fully-Developed Channel Flow at Low Reynolds Number, J. Fluid Mech., vol. 177, p.l33, 1987.

    Article  Google Scholar 

  • Kim, J., On the Structure of Wall-Bounded Turbulent Flows, Phys. Fluids, vol. 26, p. 2088, 1983.

    Article  ADS  MATH  Google Scholar 

  • Kline, S.J. and Robinson, S.K., Turbulent Boundary Layer Structure: Progress, Status, and Challenges, 2nd lUTAM Symposium on Structure of Turbulence and Drag Reduction, Zurich, Switzerland, 1989.

    Google Scholar 

  • Kline, S.J., Reynolds, W.C., Schraub, F.A., Runstadler, P.W., The Structure of Turbulent Boundary Layers, J. Fluid Mech., vol. 30, p. 741, 1967.

    Article  ADS  Google Scholar 

  • Kobashi, Y. and Ichijo, M., Wall Pressure and its Relation to Turbulent Structure of a Boundary Layer, Exp. Fluids, vol. 4, p. 49, 1986.

    Article  Google Scholar 

  • Kovasznay, L.S.G., Kibens, V., and Blackwelder, R.F., Large-Scale Motion in the Intermittent Region of a Turbulent Boundary Layer, J. Fluid Mech., vol. 41, part 2, p. 283, 1970.

    Article  ADS  Google Scholar 

  • Kreplin, H.-P. and Eckelmann, H., Propagation of Perturbations in the Viscous Sublayer and Adjacent Wall Region, J. Fluid Mech., vol. 95, part 2, p. 305, 1979.

    Article  ADS  Google Scholar 

  • Kurosaka, M. and Sundaram, P., Hlustrative Examples of Streaklines in Unsteady Vortices: Interpretational Difficulties Revisited, Phys. Fluids, vol. 29(10), 1986.

    Google Scholar 

  • Landreth, C.C., Adrian, R.J., and Yao, C.S., Double Pulsed Particle Image Velocimeter with Directional Resolution for Complex Flows, Exp. Fluids, vol. 6, no. 2, p. 119, 1988.

    Google Scholar 

  • Lian, Q.X., Coherent Structures of Turbulent Boundary Layer in Flows with Adverse Pressure Gradient, in Sino-U.S. Joint Fundamental Experimental Aerodynamics Symposium, Hampton, VA, 1987.

    Google Scholar 

  • Lighthill, M.J., in Laminar Boundary Layers, Clarendon Press, Oxford, p. 99, 1963.

    Google Scholar 

  • Moin, P. Probing Turbulence via Large Eddy Simulation, AIAA-84–0174, 1984.

    Google Scholar 

  • Moin, P. Analysis of Turbulence Data Generated by Numerical Simulations, AIAA-87–0194, 1987.

    Google Scholar 

  • Moin, P., Adrian, R.J., and Kim, J., Stochastic Estimation of Conditional Eddies in Turbulent Channel Flow, 6th Symposium on Turbulent Shear Flows, Toulouse, France, 1987.

    Google Scholar 

  • Moin, P. and Kim, J., The Structure of the Vorticity Field in Turbulent Channel Flow. Part 1: Analysis of Instantaneous Fields and Statistical Correlations, J. Fluid Mech., vol. 155, p. 441, 1985.

    Article  ADS  Google Scholar 

  • Moin, P., Leonard, A., and Kim, J., Evolution of a Curved Vortex Filament into a Vortex Ring, Phys. Fluids, vol. 29, no. 4, p. 955, 1986.

    Article  ADS  Google Scholar 

  • Moser, R.D. and Moin, P., The Effects of Curvature in Wall-Bounded Turbulent Flows, J. Fluid Mech., vol. 175, p. 479, 1987.

    Article  ADS  Google Scholar 

  • Nakagawa, II. and Nezu, I., Structure of Space-Time Correlations of Bursting Phenomena in an Open- Channel Flow, J. Fluid Mech., vol. 104, p. 1, 1981.

    Article  ADS  Google Scholar 

  • Nychas, S.G., Hershey, H.C., and Brodkey, R.S., A Visual Study of Turbulent Shear Flow, J. Fluid Mech., vol. 61, p. 513, 1973.

    Article  ADS  Google Scholar 

  • Offen, G.R. and Kline, S.J., A Proposed Model of the Bursting Process in Turbulent Boundary Layers, J. Fluid Mech., vol. 70, part 2, p. 209, 1975.

    Article  ADS  Google Scholar 

  • Pearson, C.F. and Abernathy, F.IL, Evolution of the Flow Field Associated with a Streamwise Diffusing Vortex, J. Fluid Mech., vol. 146, p. 271, 1984.

    Article  ADS  MATH  Google Scholar 

  • Perry, A.E. and Chong, M.S., On the Mechanism of Wall Turbulence, J. Fluid Mech., vol. 119, p. 173, 1982.

    Article  ADS  MATH  Google Scholar 

  • Perry, A.E., Henbest, S., and Chong, M.S., A Theoretical and Experimental Study of Wall Turbulence, J. Fluid Mech., vol. 165, p. 163, 1986.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Praturi, A.K. and Brodkey, R.S., A Stereoscopic Visual Study of Coherent Structures in Turbulent Shear Flow, J. Fluid Mech., vol. 89, part 2, p. 251, 1978.

    Article  ADS  Google Scholar 

  • Robinson, S.K., Kline, S.J., and Spalart, P.R., A Review of Quasi-Coherent Structures in a Numerically Simulated Turbulent Boundary Layer, NASA TM-102191, 1989.

    Google Scholar 

  • Robinson, S.K., Kline, S.J., and Spalart, P.R., Spatial Character and Time Evolution of Coherent Structures in a Numerically Simulated Boundary Layer, AIAA 88–3577 1988.

    Google Scholar 

  • Robinson, S.K., Kinematics and Dynamics of Coherent Motions in Turbulent Boundary Layers, Ph.D. Dissertation, Stanford University, 1989.

    Google Scholar 

  • Smith, C.R. and Metzler, S.P., The Characteristics of Low-Speed Streaks in the Near-Wall Region of a Turbulent Boundary Layer, J. Fluid Mach., vol. 129, p. 27, 1983.

    Article  ADS  Google Scholar 

  • Smith, C.R. and Schwartz, S.P., Observation of Streamwise Rotation in the Near-Wall Region of a Turbulent Boundary Layer, Phys. Fluids, vol. 26, p. 641, 1983.

    Article  ADS  Google Scholar 

  • Smith, C.R., Visualization of Turbulent Boundary Layer Structure Using a Moving Hydrogen Bubble Wire Probe, in Coherent Structure of Turbulent Boundary Layers, AFOSR/Lehigh University Workshop, p. 48, 1978.

    Google Scholar 

  • Smith, C.R., A Synthesized Model of the Near-Wall Behavior in Turbulent Boundary Layers, in Proc. of 8th Symp. on Turbulence, University of Missouri-Rolla, 1984.

    Google Scholar 

  • Smith, C.R. and Lu, L.J., The Use of a Template-Matching Technique to Identify Hairpin Vortex Flow Structures in Turbulent Boundary Layers, Near Wall Turbulence: 1988 Zaric Memorial Conference, Hemisphere, 1989.

    Google Scholar 

  • Spalart, P.R., Direct Simulation of a Turbulent Boundary Layer up toReg = 1410, J. Fluid Mech., vol. 187, p. 61, 1988.

    Article  ADS  MATH  Google Scholar 

  • Stuart, J.T., The Production of Intense Shear Layers by Vortex Stretching and Convection,AGARD Rept. 514, 1965.

    Google Scholar 

  • Swearingen, J.D. and Blackwelder, R.F., The Growth and Breakdown of Streamwise Vortices in the Presence of a Wall, J. Fluid Mech., vol. 182, p. 255, 1987.

    Article  ADS  Google Scholar 

  • Theodorsen, T., Mechanism of Turbulence, in Proc. 2nd Midwestern Conf. on Fluid Mech., Ohio State University, Columbus, Ohio, 1952.

    Google Scholar 

  • Townsend, A.A., The Structure of Turbulent Shear Flow, Cambridge University Press, 1976.

    MATH  Google Scholar 

  • Utami, T. and Ueno, T., Experimental Study on the Coherent Structure of Turbulent Open-Channel Flow Using Visualization and Picture Processing, J. Fluid Mech., vol. 174, p. 399, 1987.

    Article  ADS  Google Scholar 

  • Wallace, J.M., Eckelmann, H., and Brodkey, R.S., The Wall Region in Turbulent Shear Flow, J. Fluid Mech., vol. 54, part 1, p. 39, 1972.

    Article  ADS  Google Scholar 

  • Wallace, J.M., On the Structure of Bounded Turbulent Shear Flow: A Personal View, in Developments in Theoretical and Applied Mechanics, XI, University of Alabama, Huntsville, p. 509, 1982.

    Google Scholar 

  • Wallace, J.M., The Vortical Structure of Bounded Turbulent Shear Flow, in Lecture Notes in Physics 235, Spinger-Verlag, p. 253, 1985.

    Google Scholar 

  • Walker, J.D.A. and Herzog, S., Eruption Mechanisms for Turbulent Flows Near Walls, Proc. 2nd Int’l Symp. on Transport Phenomena in Turbulent Flows, Tokyo, Japan, 1987.

    Google Scholar 

  • Williams, D.R. and Economou, M., Scanning Laser Anemometer Measurements of a Forced Cylinder Wake, Phys. Fluids, vol. 30, no. 7, p. 2283, 1987.

    Article  ADS  Google Scholar 

  • Willmarth, W.W. and Lu, S.S., Structure of the Reynolds Stress Near the Wall,J. Fluid Mech., vol. 55, p. 65, 1972.

    Article  ADS  Google Scholar 

  • Willmarth, W.W. and Tu, B.J., Structure of Turbulence in the Boundary Layer Near the Wall, Phys. Fluids, vol. 10, p. S134, 1967.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Robinson, S.K. (1990). A Review of Vortex Structures and Associated Coherent Motions in Turbulent Boundary Layers. In: Gyr, A. (eds) Structure of Turbulence and Drag Reduction. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50971-1_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-50971-1_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-50973-5

  • Online ISBN: 978-3-642-50971-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics