A centrifugal pump running at 1000 rpm. It delivers 100 litres/s of water against a head of 24 m. Find the specific speed of the pump.
Given data:
Speed of pump N = 1000 rpm
Discharge Q=100 \text { litres } / \mathrm{s}=0.1 \mathrm{~m}^3 / \mathrm{s}
Head H = 12 m
The specific speed of the pump is obtained from Eq. (20.30) as
N_{S P}={\frac{N{\sqrt{Q}}}{(H)^{3/4}}} (20.30)
N_s=\frac{N \sqrt{Q}}{H^{3 / 4}}=\frac{1000 \times \sqrt{0.1}}{24^{3 / 4}}=29.16 \text { unit }