Experimental Probability Density Functions of a Passive Scalar in a Turbulent Görtler Flow and Comparison with the Pope and Ching Model

  • J. L. Aider
  • J. E. Wesfreid
Part of the Fluid Mechanics and its Applications book series (FMIA, volume 36)


In this communication we are interested in the experimental study of the mixing of a non-reacting passive scalar in an hydrodynamic turbulent flow in a curved channel (turbulent Görtler flow). We used Laser Induced Fluorescence technique [1] to visualize and analyze quantitatively the effect of the geometry and of the Reynolds number on the statistics of the concentration time series. The Fig. 1 is a visualization of the turbulent flow in a cross-section of the curved channel (60° from the leading edge) and we show the four regions corresponding to the different instabilities involved in the production of vortical structures:
  • Görtler instability in the boundary layer over the concave wall (region I).

  • Ekman cells in the comer of the duct (region II).

  • detaching of the boundary layer under the convex wall (region III).

  • homogenous mixing region in the middle of the cross-section (region IV).


Boundary Layer Reynolds Number Vortical Structure Passive Scalar Conditional Average 
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  1. [1]
    J. L. Aider and J. E. Wesfreid, “Visualizations and PDFs of fluctuations of concentration”, in Experimental and Numerical Flow visualization, A.S.M.E. FED-Vol 218, Book no. G00968, 123–130 (1995)Google Scholar
  2. [2]
    S. Balachandar and L. Sirovich, Probability Distribution Functions in turbulent Convection ICASE Report No. 91–17(1991).Google Scholar
  3. [3]
    E. S. C. Ching and S. Pope, “Stationnary Probability Density Functions: an exact result”, Phys. of Fluids A, 7, 1529 (1993)Google Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • J. L. Aider
    • 1
  • J. E. Wesfreid
    • 1
  1. 1.Laboratoire de Physique et de Mécanique des Milieux Hétérogènes, URA CNRS 857Ecole Supérieure de Physique et de Chimie IndustriellesParisFrance

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