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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: One Dimensional Energy Spectrum

The one dimensional energy spectrum is defined as

Symmetry of  implies that

A typical one dimensional energy spectrum is shown in Figure 4.

Setting  equal to zero, we find

.

Also

Example:

The longitudinal correlation may be approximated as

The corresponding one dimensional spectrum is given as



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