# Standard k-epsilon model

### From CFD-Wiki

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- | == Transport | + | == Transport Equations for standard k-epsilon model == |

For k <br> | For k <br> | ||

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<br> | <br> | ||

- | where Pr<sub>t</sub> is the turbulent Prandtl number for energy and g<sub>i</sub> is the component of the gravitational vector in the ith direction. For the standard and realizable - models, the default value of Pr<sub>t</sub> is 0.85. | + | where Pr<sub>t</sub> is the turbulent [[Prandtl number]] for energy and g<sub>i</sub> is the component of the gravitational vector in the ith direction. For the standard and realizable - models, the default value of Pr<sub>t</sub> is 0.85. |

The coefficient of thermal expansion, <math> \beta </math> , is defined as <br> | The coefficient of thermal expansion, <math> \beta </math> , is defined as <br> |

## Revision as of 00:34, 14 September 2005

## Contents |

## Transport Equations for standard k-epsilon model

For k

For dissipation

## Modeling turbulent viscosity

Turbulent viscosity is modelled as:

## Production of k

Where is the modulus of the mean rate-of-strain tensor, defined as :

## Effect of Bouyancy

where Pr_{t} is the turbulent Prandtl number for energy and g_{i} is the component of the gravitational vector in the ith direction. For the standard and realizable - models, the default value of Pr_{t} is 0.85.

The coefficient of thermal expansion, , is defined as

## Model Constants