Reynolds-Stress Closure Model for Conditional Variables

  • J. Janicka
  • W. Kollmann


Free boundaries of turbulent shear flows show an intermittent character with a sharp interface separating instantaneously turbulent and non-turbulent zones shown by Corrsin and Kistler (1954). Prediction models for turbulent shear flows did not take this intermittent character into account so far. In this paper a second order closure model for turbulent shear flows based on conditional variables (Dopazo 1977) is presented, that allows prediction of intermittency factor, zone-conditioned mean velocities and Reynolds-stresses. It is based on an earlier closure for intermittency factor, mean velocities and kinetic energy and dissipation rate (Byggstøyl and Kollmann 1981) which used the concept of turbulent pseudo-viscosity for the turbulent zone. The equations for conditional moments contain explicitly terms accounting for the relative motion of turbulent and non-turbulent zones and the transport of various quantities through it. Some of those terms are non-closed on the second-order level and their closure will be discussed. The resulting conditional Reynolds-stress model will be evaluated by comparison of calculated properties of thin shear flows with experimental results.


Dissipation Rate Closure Model Conditional Moment Damkohler Number Turbulent Shear Flow 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • J. Janicka
    • 1
  • W. Kollmann
    • 2
  1. 1.RWTH AachenFed. Rep. of Germany
  2. 2.Department of Mechanical EngineeringUniversity of CaliforniaDavisUSA

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