The Production of Turbulent Stress in a Shear Flow by Irrotational Fluctuations

  • I. S. Gartshore
  • P. A. Durbin
  • J. C. R. Hunt
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


This paper examines, both theoretically and experimentally, the effect produced by irrotational fluctuations, associated with a nearby turbulent field, in a region where the turbulence is initially very low but where there is a mean shear. Calculations are based on rapid distortion theory and experiments use linearized hot wire anemometers in an open circuit wind tunnel. Turbulent shear stress is observed to grow from zero to significant values in the interaction region. The magnitude and extent of this observed shear stress agree reasonably well with predictions of the analysis, when intermittency effects are included. We conclude that turbulent stresses can be produced by irrotational fluctuations in a region of mean shear and that this effect can be estimated using rapid distortion theory if the overall strain ratio is not large.


Strain Ratio Turbulent Stress Splitter Plate Turbulent Region Shear Region 
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  1. 1.
    Durbin, P.A. (1978), Rapid distortion theory of turbulent flows. Ph.D. thesis, University of Cambridge.Google Scholar
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    Gartshore, I.S. (1966), An experimental examination of the large-eddy equilibrium hypothesis. J.F.M. 24, pp. 89–98.CrossRefGoogle Scholar
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    Phillips, O.M. (1955), The irrotational motion outside a free turbulent boundary. Proc. Camb. Phil. Soc. 51, 220–229.CrossRefzbMATHADSGoogle Scholar

Copyright information

© Springer, Berlin Heidelberg New York 1983

Authors and Affiliations

  • I. S. Gartshore
    • 1
  • P. A. Durbin
    • 2
  • J. C. R. Hunt
    • 3
  1. 1.University of British ColumbiaCanada
  2. 2.NASA (Lewis)USA
  3. 3.Cambridge UniversityEngland

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