What is the relation between the delivery head of the centrifugal pump and the shaft speed (N)?

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SSC JE Civil 11 Oct 2023 Shift 1 Official Paper - 1
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  1. The delivery head is directly proportional to N2
  2. The delivery head is inversely proportional to N.
  3. The delivery head is inversely proportional to N2.
  4. The delivery head is directly proportional to N.

Answer (Detailed Solution Below)

Option 1 : The delivery head is directly proportional to N2
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Detailed Solution

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Explanation:

Some relations for Pumps is as follows,

  1. For Head H ∝ D2N2
  2. For Power P ∝  D5N3
  3. For Specific Speed = \({N_S} = \frac{{N\sqrt Q }}{{H_m^{3/4}}}\)

Head coefficient is given by,

 \(\frac{{H}}{{{D^2}N^2}} = C\)

For Discharge in Pumps;

The dimensionless analysis of the centrifugal pumps proves that the discharge is written as

  • Two geometrically similar pumps said to be homogeneous when

Q ∝ D3N

\(\frac{Q}{{{D^3}N}} = Constant\)

where Q = Flow rate, D = Diameter of the impeller, N = Rotational Speed.

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