A Francis radial-flow hydro turbine has the following dimensions, where location 2 is the inlet and location 1 is the outlet: r2 = 2 m, ri = 1.34 m, b2 = 0.8 m, and bi = 2.2 m. The runner blade angles are ß = 82° and ßi = 46° at the %3D turbine inlet and outlet, respectively (Figure 3.1). The runner rotates at n = 120 rpm. The volume flow rate at design conditions is 300 m³/s. Irreversible losses are neglected in this preliminary analysis. i. Calculate the angle æ wicket gate should turn the flow, where æ is measured from the radial direction at the runner inlet. ii. Calculate the swirl angle, a, where a is measured from the radial direction at the runner outlet. ii. Does this turbine have a forward or reverse swirl? v. Predict the power output (kW) and required net head (m).

Elements Of Electromagnetics
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V2. "
Control volume
Figure 3.1 Parameter design for Francis radial flow turbine
Transcribed Image Text:V2. " Control volume Figure 3.1 Parameter design for Francis radial flow turbine
A Francis radial-flow hydro turbine has the following dimensions, where
location 2 is the inlet and location 1 is the outlet: r2 = 2 m, rı = 1.34 m, b2 = 0.8
m, and bi = 2.2 m. The runner blade angles are ß = 82° and Bi = 46° at the
turbine inlet and outlet, respectively (Figure 3.1). The runner rotates at n = 120
rpm. The volume flow rate at design conditions is 300 m³/s. Irreversible losses
are neglected in this preliminary analysis.
i.
Calculate the angle æ wicket gate should turn the flow, where æ is
measured from the radial direction at the runner inlet.
ii.
Calculate the swirl angle, a, where a is measured from the radial
direction at the runner outlet.
iii.
Does this turbine have a forward or reverse swirl?
iv.
Predict the power output (kW) and required net head (m).
Transcribed Image Text:A Francis radial-flow hydro turbine has the following dimensions, where location 2 is the inlet and location 1 is the outlet: r2 = 2 m, rı = 1.34 m, b2 = 0.8 m, and bi = 2.2 m. The runner blade angles are ß = 82° and Bi = 46° at the turbine inlet and outlet, respectively (Figure 3.1). The runner rotates at n = 120 rpm. The volume flow rate at design conditions is 300 m³/s. Irreversible losses are neglected in this preliminary analysis. i. Calculate the angle æ wicket gate should turn the flow, where æ is measured from the radial direction at the runner inlet. ii. Calculate the swirl angle, a, where a is measured from the radial direction at the runner outlet. iii. Does this turbine have a forward or reverse swirl? iv. Predict the power output (kW) and required net head (m).
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