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kakkapriyesh/Variable_Turbulent_Prandtl_number_OpenFOAM

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I had modified the OpenFOAM solver to see the effects of turbulent Prandtl numbers on the heat transfer near the wall. For incompressible solver, 
OpenFOAM keeps turbulent Prandtl number as constant, hence energy equation solved is not truly dynamic.
I calculated turbulent Prandtl number using test filters similar to dynamic models referring to Lilly's paper of 1992. 
Here, the turbulent Prandtl number is calculated at every timestep, and it influences the energy equation.  

The solver used is `buoyantBoussinesqPimpleFoam`. 

```
The model was applied to dynamic smagorinsky referring following paper:
Lilly, D. K. (1992). A proposed modification of the Germano subgrid‐scale closure method. Physics of Fluids A: Fluid Dynamics, 4(3), 633-635.

```

I have done this work a few years ago so I do not remember everything within it. I will try to fix some warnings but not sure when. 
If someone works on it and improves it, Please let me know.

Please cite if this code is helpful to you:

```
Kakka, Priyesh, and Kameswararao Anupindi. "Assessment of subgrid-scale models for large-eddy simulation of a planar turbulent wall-jet with heat transfer."
International Journal of Heat and Mass Transfer 153 (2020): 119593.
```

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Turbulent Prandtl number gets calculated at each time step

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