For a given Francis turbine, beta₁=60∘, beta₂=90∘, r₁=5 {m}, r₂=3 {~m}, and B=1 {~m}. The discharge is 126 {~m}3 / {s} and the rotational speed is 60 {rpm}. Assume T=10∘ {C}.
a. What should alpha₁ be for a non-separating flow condition at the entrance to the runner?
b. What is the maximum attainable power with the conditions noted?
c. If you were to redesign the turbine blades of the runner, what changes would you recommend to increase the power production if the discharge and overall dimensions are to be kept the same?