Water for a Pelton wheel turbine flows from a very large reservoir through a penstock, as...

  

 

Transcribed Image Text:

Water for a Pelton wheel turbine flows from a very large reservoir through a penstock, as schematically shown in Figure 3. The length, L, the diameters of the penstock (D) and the jet (D₁), and the roughness of the penstock, e, are known. In the calculations, neglect the local head losses associated with the entrance of the pipe and bends. (a) Calculate the flow rate, Q, along the penstock. (b) Assuming that the buckets of the turbine reverse the flow com- pletely (i.e., ß 1800), calculate the maximum power, PT, that the turbine can extract from the flow. Zo Z1 D1 R Figure 3: Schematic of the Pelton turbine to perform the calculations for. (c) Calculate the angular velocity of the turbine when the maximum power is extracted from the flow. (d) Calculate the average force of the water against the blades when the maximum power is extracted from the flow. The parameters are: P-1000 kg-m-³, v=1.12-10-6m²s-¹, Zo=900 m, Z₁-175 m, L=1,020 m, D=0.9 m, D₁-0.2 m, -1.8 mm, R=2 m. Water for a Pelton wheel turbine flows from a very large reservoir through a penstock, as schematically shown in Figure 3. The length, L, the diameters of the penstock (D) and the jet (D₁), and the roughness of the penstock, e, are known. In the calculations, neglect the local head losses associated with the entrance of the pipe and bends. (a) Calculate the flow rate, Q, along the penstock. (b) Assuming that the buckets of the turbine reverse the flow com- pletely (i.e., ß 1800), calculate the maximum power, PT, that the turbine can extract from the flow. Zo Z1 D1 R Figure 3: Schematic of the Pelton turbine to perform the calculations for. (c) Calculate the angular velocity of the turbine when the maximum power is extracted from the flow. (d) Calculate the average force of the water against the blades when the maximum power is extracted from the flow. The parameters are: P-1000 kg-m-³, v=1.12-10-6m²s-¹, Zo=900 m, Z₁-175 m, L=1,020 m, D=0.9 m, D₁-0.2 m, -1.8 mm, R=2 m.

Answer rating: 100% (QA)

To solve this problem we can use the following equations a The flow rate Q can be calculated using t... View the full answer