Water is flowing through a pipe of diameter 15 cm. At a section, the gauge pressure is 40 kPa and mean velocity is found to be 2 m/s. If the centerline of the pipe is 10 m above the datum, the total head in the flow will be given by

[Kinetic energy correction factor = 1.2, g = 10 m/s²]

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  1. 12.80 m 
  2. 14.24 m 
  3. 11.80 m 
  4. 13.20 m 

Answer (Detailed Solution Below)

Option 2 : 14.24 m 
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Detailed Solution

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Concept:

The total head in a flow is given by the extended Bernoulli equation including the kinetic energy correction factor:

Given:

  • Gauge pressure,
  • Mean velocity,
  • Elevation,
  • Kinetic energy correction factor,
  • Specific weight of water,

Calculation:

Total Head:

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