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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 |

Correlations and Scales

Definition: Taylor's Microscales

The Taylor microscales are defined as

,

where   and   are, respectively, the Taylor longitudinal and lateral microscales. The microscales may be defined by fitting a parabola to the correlation coefficient curves at . That is,

Definition: Integral Scales, Macroscales

The macroscales of turbulence are defined as

 = Longitudinal Macroscale

 = Lateral Macroscale



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