Calculate and compare the efficiency of the two turbines of Prob. 14–156. They should be the same since we are assuming dynamic similarity. However, the larger turbine will actually be slightly more efficient than the smaller turbine. Use the Moody efficiency correction equation to predict the actual expected efficiency of the new turbine. Discuss.

Data from Problem 14-156

Experiments on an existing turbine (A) yield the following data: D_A = 86.0 cm, H_A =22.0 m,V̇_A = 69.5 m³/s, ρ_A = 998.0 kg/m³, ṅ_A = 240 rpm, bhp_A = 11.4 MW. You are to design a new turbine (B) that has the following requirements: ρ_B = 998.0 kg/m³, H_B = 95.0 m, and ṅ_B = 210 rpm. Apply the computer program you developed in Prob. 14–155 to calculate D_B (m), V̇_B (m³/s), and bhp_B (MW). Also calculate the turbine specific speed. What kind of turbine is this (most likely)?

Data from Problem 14–155

Develop a general-purpose computer application (using EES or other software) that employs the affinity laws to design a new turbine (B) that is dynamically similar to a given turbine (A). The inputs for turbine A are diameter, net head, capacity, density, rotational speed, and brake horsepower. The inputs for turbine B are density (ρ_B may differ from ρ_A), available net head, and rotational speed. The outputs for turbine B are diameter, capacity, and brake horsepower. Test your program using the following inputs: D_A = 1.40 m, H_A = 80.0 m, V̇_A = 162 m³/s, ρ_A = 998.0 kg/m³, ṅ_A = 150 rpm, bhp_A = 118 MW, ρ_B = 998.0 kg/m³, H_B = 95.0 m, and ṅ_B = 120 rpm. Verify your results manually.