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The internal and external diameter of the impeller of a centrifugal pump are 200 mm and 400 mm respectively. The pump is running at 1200 rpm. Find the velocity of flow if the vane angle at inlet 20°.

Given tan 20° = 0.363


1. 7.42 m/s
2. 3.34 m/s
3. 4.57 m/s
4. 6.67 m/s

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Correct Answer - Option 3 : 4.57 m/s

Concept:

Tangential velocity at inlet \({u_1} = \frac{{\pi {D_1}N}}{{60}}\)

\(\left( {\tan \theta } \right) = \frac{{{V_{f1}}}}{{{u_1}}}\)

Calculation:

Given:

N = 1200 rpm, Inner Diameter = 200 mm = 0.2 m, Outer Diameter = 250 mm

Now,

Tangential velocity at inlet \({u_1} = \frac{{\pi {D_1}N}}{{60}}\)

\(= \frac{{\pi × 0.2 × 1200}}{{60}} = 12.56\;{m}/{s}\)

Now,

∴ Vane angle at inlet \(\left( {\tan \theta } \right) = \frac{{{V_{f1}}}}{{{u_1}}} = \frac{{V_{f1}}}{{10.47}}\)

∴ tan 20° × 12.56 = Vf1

∴ Vf1= 4.57 m/s

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