Hi Can someone help me calculate the circulation (or vorticity, ∇×v ) in flows where Betz's law is used?
I think I know a way. It would be interesting to see if others find a way. My way involves the following reasoning. Betz's law determines the power taken from the flow and brought into the turbine. This is equal to a force on the turbine equal to F = P / v. Another way to determine the force on the turbine is to use the Kutta–Joukowski theorem. Do these two methods give the same result? Maybe some other meaningful relation can be found by setting the force from the two methods equal. David
