Can you not calculate this by measuring the cross sectional "area" of each apperture?
But, as for Solid Edge doing this, I'm not sure if the limited "Solid Edge Simulation" has this functionality, it may well be a tool set of the more advanced FEA application.
Some more info here....
Design Manager Streetscape Limited
Solid Edge ST10 [MP0] Classic [x2 seats]
I suggest to use Goal seeking command in sketch. What you want to do is a bit complex, but I hope this will help: