# Experiments on an existing turbine (A) yield the following data: D A = 86.0 cm, H A

## Question:

Experiments on an existing turbine (A) yield the following data: DA = 86.0 cm, HA =22.0 m,V̇A = 69.5 m3/s, ρA = 998.0 kg/m3, ṅA = 240 rpm, bhpA = 11.4 MW. You are to design a new turbine (B) that has the following requirements: ρB = 998.0 kg/m3, HB = 95.0 m, and ṅB = 210 rpm. Apply the computer program you developed in Prob. 14–155 to calculate DB (m), V̇B (m3/s), and bhpB (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 (ρB may differ from ρA), available net head, and rotational speed. The outputs for turbine B are diameter, capacity, and brake horsepower. Test your program using the following inputs: DA = 1.40 m, HA = 80.0 m, V̇A = 162 m3/s, ρA = 998.0 kg/m3, ṅA = 150 rpm, bhpA = 118 MW, ρB = 998.0 kg/m3, HB = 95.0 m, and ṅB = 120 rpm. Verify your results manually.

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