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Behavior of conditioned variables in free turbulent shear flows

  • III. Passive Scalar Transport
  • Conference paper
  • First Online:
Structure and Mechanisms of Turbulence II

Part of the book series: Lecture Notes in Physics ((LNP,volume 76))

Abstract

Recent work on the conservation equations for conditioned mean variables in turbulent shear flows is extended to obtain the evolution equation for the conditioned probability density function of a scalar field φ(\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{x}\),t) which is distributed intermittently in the flow. The equation is applied to the similarity regime of a two dimensional turbulent wake at 400 diameters down stream, where extensive conditioned moment measurements are available. The asymptotic forms of the density function are found for low and high intermittency regions and they agree with experimental data. In particular a connection is established between the rate of entrainment of scalar-free fluid into the scalar zone and the pdf of the scalar at small positive values of φ. The conditioned mean and variance of the scalar field are deduced and are also shown to be compatable with existing experimental data.

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Author information

Authors and Affiliations

  1. State University of New York at Stony Brook, 11794, Stony Brook, New York

    Edward E. O'Brien

  2. Brookhaven National Laboratory, 11973, Upton, New York

    Cesar Dopazo

Authors
  1. Edward E. O'Brien
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  2. Cesar Dopazo
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H. Fiedler

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© 1978 Springer-Verlag

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O'Brien, E.E., Dopazo, C. (1978). Behavior of conditioned variables in free turbulent shear flows. In: Fiedler, H. (eds) Structure and Mechanisms of Turbulence II. Lecture Notes in Physics, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012617

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  • DOI: https://doi.org/10.1007/BFb0012617

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08767-0

  • Online ISBN: 978-3-540-35830-5

  • eBook Packages: Springer Book Archive

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