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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 |

Introduction to Turbulence Modeling

TURBULENT FLOW

One-Equation Models

Eddy Viscosity

 = Turbulence Kinetic Energy

Exact k-equation

where

= turbulence diffusion

 = production

 = , = dissipation

= viscous diffusion

Modeled k-equation

,

where

(turbulence Prandlt number)

 = production,

 = dissipation.

Note that the turbulence length scale  is given by an algebraic equation.



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