# Standard k-epsilon model

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- | C_{1 \epsilon} = 1. | + | C_{1 \epsilon} = 1.4, \;\; C_{2 \epsilon} = 1.92, \;\; C_{\mu} = 0.09, \;\; \sigma_k = 1.0, \;\; \sigma_{\epsilon} = 1.3 |

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## Revision as of 12:44, 6 October 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