[medaouarwalid]

Hi every one. I need some topics that expalin in details how the Reynolds stresses from the Navie-Stokes équations and the turbulent heat fluxes from the energy équation are modeled using the sst k omega model. I searched a lot but i didnt find a topic that gives very much details.

[LuckyTran]

Usually the Reynolds stresses are closed/modeled using the Boussinesq eddy viscosity hypothesis. The turbulent heat fluxes are also modeled using an eddy viscosity hypothesis + a turbulent Prandtl number.

In short, the SST k-omega model (or any other model) just provides the turbulent viscosity.

[medaouarwalid]

Originally Posted by LuckyTran

Usually the Reynolds stresses are closed/modeled using the Boussinesq eddy viscosity hypothesis. The turbulent heat fluxes are also modeled using an eddy viscosity hypothesis + a turbulent Prandtl number.

In short, the SST k-omega model (or any other model) just provides the turbulent viscosity.

I need the equations if you have some topics please

[LuckyTran]

Sorry I can't figure out what it is you are trying to discover so I basically re-write my post with links now.

If you don't care about compressible flows, you can ignore all the Favre-average rambling:
Governing Equations

The eddy viscosity model applied to the Reynolds stresses is given by (24) and (26) for the turbulent heat flux. This much is practically the same for all RANS/URANS CFD, unless you are not using the linear Boussinesq eddy viscosity but perhaps something more complicated.

Now what needs to be determined is the turbulent viscosity. So for SST k-omega model it looks like:

SST k-omega Model