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Fluid Mechanics

Flow through Parallel Pipes

Three paralle...

Question

Three parallel pipes connected at the two ends have flow-rates $Q_{1}, Q_{2} a n d Q_{3}$ respectively and the corresponding frictional head losses are $h_{L 1}, h_{L 2}, a n d h_{L 3}$ respectively. The correct expressions for total flow rate (Q) and frictional head loss across the two ends $(h_{L})$ are

A

Q = Q_{1} + Q_{2} + Q_{3}; h_{L} = h_{L 1} + h_{L 2} + h_{L 3}

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B

Q = Q_{1} + Q_{2} + Q_{3}; h_{L} = h_{L 1} = h_{L 2} = h_{L 3}

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C

Q = Q_{1} = Q_{2} = Q_{3}; h_{L} = h_{L 1} + h_{L 2} + h_{L 3}

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D

Q = Q_{1} = Q_{2} = Q_{3}; h_{L} = h_{L 1} = h_{L 2} = h_{L 3}

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Solution

The correct option is B $Q = Q_{1} + Q_{2} + Q_{3}; h_{L} = h_{L 1} = h_{L 2} = h_{L 3}$
Total discharge

$Q = Q_{1} + Q_{2} + Q_{3}$

Head loss: $h_{L} = h_{L 1} = h_{L 2} = h_{L 3}$

For the pipe connected in series,
Total discharge,

$Q = Q_{1} = Q_{2} = Q_{3}$

Head loss; $h_{L} = h_{L 1} + h_{L 2} + h_{L 3}$

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Similar questions

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is ________(round off to two decimal places).

Q. Consider the following statements:

P. Minor losses do not make significant effect in long pipes.

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S. Head loss at the entrance of pipe is half the head loss at exit.

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