Hi @a2312653, thanks for posting on the forum
We’re glad SimScale helped with your class project and make sure to share your results with the forum community in a separate post!
As to your question
Unfortunately it’s a bit tough to calculate the solutions field manually - that’s why CFD comes in handy for these sorts of complex tridimensional analysis. If you’d like to dive deeper in what’s happening in the background, we do have a SimWiki article that should be a good start:
In short, the three main equations are the ones for Conservation of Mass (continuity), Momentum (Navier-Stokes) and Energy (1st Law of Thermodynamics). However, you can find hourly analysis spreadsheets and softwares on the internet which perform a 1D analysis to compare your CFD results. These are usually used for simple HVAC calculation of thermal loads.
Cheers
Igor