Conjugate heat transfer and flow through porous media

Hi,
Im trying to simuate natural convection in a room (2D conjugate heat transfer). I need to be able to have a thin screen inside the room wich should be semi-permeable to the airflow from natural convection. Since I'm interested in both the heat flow and the airflow I use the conjugate heat transfer to simulate natural convection. Im now trying to couple this to a module for porous flow through the screen (Either Darcys law or Brinkman). What sort of boundary conditions should i use to couple those two? And also should i use Darcys law or Brinkman.

Is it clear what I'm trying to accomplish? Note that this is just a modell test for a bigger more complex modell. I need to use conjugate heat transfer in the screen as well since in the full modell there will be a heat source in the screen. The test model is attached and as you can see there are just wall boundary conditions on the two modules right now. Meaning they are not coupled what so ever in regards to flow if I understod it correctly.

Would really appreciate some answers