A centrifugal pump provides a flow rate of 0.03 m/s when operating at 1750 rpm against 60 m head. Determine the pump's flow rate and developed head if the pump speed is increased to 3500 rpm.

Respuesta :

Answer:240m

[tex]Q=0.06m^3/s[/tex]

Explanation:

Given rpm increases from 1750 rpm to 3500 rpm

initial head 60 m and flow rate=[tex]0.03 m^{3}/s[/tex]

Since unit speed remains same

therefore

[tex]N_u=\frac{N}{\sqrt{H}}[/tex]

[tex]\frac{1750}{\sqrt{60}}[/tex]=[tex]\frac{3500}{\sqrt{H}}[/tex]

H=240m

Also unit Flow remains same

[tex]\frac{Q}{\sqrt{H}}[/tex]=[tex]\frac{Q}{\sqrt{H}}[/tex]

[tex]\frac{0.03}{\sqrt{60}}[/tex]=[tex]\frac{Q}{\sqrt{240}}[/tex]

[tex]Q=0.06m^3/s[/tex]

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