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Calculate the discharge through the Crump's open flume outlet if the throat length (Lt measured perpendicular to the direction of flow) = 7 cm, the coefficient of discharge (C)= 1.60 and the head over the crest (H) = 0.64 m.

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BHEL Engineer Trainee Civil 24 Aug 2023 Official Paper
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  1. 0.057 cumecs
  2. 7.17 cumecs
  3. 0.037 cumecs
  4. 0.072 cumecs

Answer (Detailed Solution Below)

Option 1 : 0.057 cumecs
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Concept:

The discharge through a Crump’s open flume outlet is given by:

\( Q = C \cdot L_t \cdot H^{3/2} \)

  • \( C = 1.60 \)
  • \( L_t = 7 \, \text{cm} = 0.07 \, \text{m} \)
  • \( H = 0.64 \, \text{m} \)

Substituting values:

\( Q = 1.60 \cdot 0.07 \cdot (0.64)^{3/2} \approx 0.0573 \, \text{cumecs} \)

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