Coupling the thermal field to phase-field and Navier-Stokes

[alimostafavi24]

Dear MOOSE community,

I am trying to add the following equation to the phase-field CH equation and Navier-Stokes equation:

here u is the fluid velocity, T is the temperature, k(c) is thermal conductivity, C_p(c) is the specific heat constant and \rho(c) is density. k(c), C_p(c) and \rho(c) are material properties and c is the order parameter from the phase-field.

Based on the existing kernels in MOOSE, is it better to proceed with equation format in (1) or (2)?

If the answer is (2), how I can handle the term in the RHS? MatDiffusion is a great option. But I am not sure how to use it, because it handles \nabla.(D(c)\nablaT), and the format of my equation is a bit different.

Any guidance on this is highly appreciated.

Best,
Ali

[GiudGiud]

Hello

In the Navier Stokes module, whether FV or FE, (1) is implemented.

Guillaume

[alimostafavi24]

Everything is based on finite element.

[GiudGiud]

I would go with (1)

[alimostafavi24]

Thanks.