Is there any way to solve an advection heat equation in pdetool box?

Im trying to solve the equations attached but I'm just not able to.

Answer 1

[Precise Simulation]

This coupled fluid flow heat transfer model might be a good starting point. You can also modify the equations to your correspond to your problem as done here with this heat transfer custom equation model example .

[Anirudh Krishnamurthy]

Thank you! It seemed to solve it, but I believe implementing certain type of boundaries is unavailable. But thank you so much im almost there!

[Uriel de Jesus Garza Rubalcava]

Hey Anirudh! Did you find a better way to solve the advection problem?