Calculate and compare the turbine specific speed for both the small (A) and large (B) Turbines of Prob. 14–123.  What kind of turbine are these most likely to be?

Data from Prob. 14–123.

A group of engineers is designing a new hydroturbine by scaling up an existing one. The existing turbine (turbine A) has diameter D_A = 1.50 m, and spins at ṅ_A = 150 rpm. At its best efficiency point, V̇_A = 162 m³/s, H_A = 90.0 m of water, and bhp_A = 132 MW. The new turbine (turbine B) will spin at 105 rpm, and its net head will be H_B = 95 m. Calculate the diameter of the new turbine such that it operates most efficiently, and calculate V̇_B and bhp_B.