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Engineering Mathematics
Review of Viscous Flows
Review of Computational Fluid Mechanics
Review of Turbulence and Turbulence Modeling

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The National Science Foundation
ME 637 The National Science Foundation
  Review of Turbulence & Turbulence Modeling
Features of Turbulence | Reynolds Equation and Mixing Length Model | Energy Equations | Correlations and Scales | Vorticity Transport | Two-Equation Model | Stress Transport Models | Rate-Dependent Models | PDF Models |

Features of Turbulence

Kolmogorov Scales

Large-scale turbulent motion is roughly independent of viscosity. The small-scale, however, is controlled by viscosity. The small-scale motions are also statistically independent of relative slow large-scale turbulent fluctuations (and/or mean motions). According to Kolmogorov (Universal Equilibrium Theory), the small-scale turbulence is in equilibrium (independent of large-scale) and is controlled solely with  and . Using dimensional arguments, Kolmogorov defined the length, time, and velocity scales of the smallest eddies of turbulence. These are

, , . (5)

Using equation (1), from (5) it follows that

, , . (7)

For a dissipation rate of  of water, .



Dr. Goodarz Ahmadi | Turbulence & Multiphase Fluid Flow Laboratory | Department of Mechanical & Aeronautical Engineering
Copyright © 2002-2005 Dr. Goodarz Ahmadi. All rights reserved.
Potsdam, New York, 13699
ahmadi@clarkson.edu