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The impeller of a centrifugal pump having external and internal diameters 500 mm and 250 mm respectively, width at outlet 50 mm and running at 1200 r.p.m. works against a head of 48 m.

The velocity of flow through the impeller is constant and equal to 3 m/s. the vans are set back at an angle of 400 at outlet.Determine: 1. Inlet vane angle, 2. Work done by the impeller on water per second and 3. manometric efficiency

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Given:

$D_2 = 0.5m D_1 = 0.25m, B_2 = 0.05m \\ N = 1200rpm, H_m = 48m, V_f = V_{f1} = V_{f2} = 3m/s\\ \phi = 40^\circ$

Solution:

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$u_1 = \frac{\pi D_1N}{60} = \frac{\pi \times 0.25 \times1200}{60} = 15.7m/s$

$u_2 = \frac{\pi D_2N}{60} = \frac{\pi \times 0.5 \times 1200}{60} = …

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