# A Francis radial-flow hydro turbine is being designed with the following dimensions: r 2 = 2.00 m,

## Question:

A Francis radial-flow hydro turbine is being designed with the following dimensions: r_{2} = 2.00 m, r_{1} =1.42 m, b_{2} = 0.731 m, and b_{1} = 2.20 m. The runner rotates at ṅ = 180 rpm. The wicket gates turn the flow by angle α_{2} = 30° from radial at the runner inlet, and the flow at the runner outlet is at angle α_{1} = 10° from radial (Fig. P14–83). The volume flow rate at design conditions is 340 m^{3}/s, and the gross head provided by the dam is H_{gross} = 90.0 m. For the preliminary design, irreversible losses are neglected. Calculate the inlet and outlet runner blade angles β_{2} and β_{1}, respectively, and predict the power output (MW) and required net head (m). Is the design feasible?

**FIGURE P14–83**

## Step by Step Answer:

**Related Book For**

## Fluid Mechanics Fundamentals And Applications

**ISBN:** 9780073380322

3rd Edition

**Authors:** Yunus Cengel, John Cimbala