Centrifugal pump discharge formula at inlet For a centrifugal pump, let D be the impeller diameter at inlet, b the impeller width at inlet, and Vf the flow velocity at inlet. Write the discharge Q in terms of these quantities (neglecting slip). Choose the correct option.
Mechanical Engineering
Hydraulic Machines
Difficulty: Easy
Choose an option
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AQ = π D V<sub>f</sub>
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BQ = π b V<sub>f</sub>
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CQ = π D b V<sub>f</sub>
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DQ = D b V<sub>f</sub>
Answer
Correct Answer: Q = π D b V<sub>f</sub>
Explanation
Concept Discharge = (flow area at inlet annulus) × (radial/flow velocity).
Calculation Inlet annulus area A = π D b. Therefore, Q = A Vf = π D b Vf.
Common pitfalls Forgetting the circumference factor π D and using only b Vf.
Final AnswerQ = π D b Vf