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The condition for power transmission by flow through a pipeline to be maximum is that the loss of head of the flow due to friction throughout the pipeline length is:

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  1. One-third of the total head at inlet end 
  2. One-fourth of the total head at inlet end 
  3. Three-fourth of the total head at inlet end
  4. One-half of the total head at inlet end 

Answer (Detailed Solution Below)

Option 1 : One-third of the total head at inlet end 
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Detailed Solution

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Net available head (h) at the outlet of the pipe is given by:

h = H - hf

Where,

H is the total head at the inlet and hf be the head loss in the transmission.

Power available at the pipe outlet is given by:

For maximum power

∴ hf = H/3.

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More Flow Through Pipes Questions

Q1.Which of the following statements about manometric head is correct?
Q2.If a square pipe of side 60 cm, carries a discharge of 3 m/sec, the velocity of flow(m/sec) in the pipe is: 
Q3.The relation of friction loss factor, f = \(\rm \frac{0.3164}{(Re)^{0.25}}\) is correct for which of the following flow?
Q4.Which of the following statements is INCORRECT about the friction factor of Darcy's equation? 
Q5.Total gradient line (or total energy line) is parallel to hydraulic gradient line with a vertical distance of _________. (The symbols have their usual meanings.) 
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Q7.Which of the following is NOT a reason for minor head loss in pipe flow?
Q8.A Moody diagram represents ______ as a function of Reynolds number, in a pipe flow. 
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