GATE CE 2014 Set 1 — Question 55
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Water Resources Engineering → Pipe Flow → Darcy-Weisbach Equation
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Question
An incompressible fluid is flowing at a steady rate in a horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameters and (where ) that run for a distance of each and then again join back to a pipe of the original size. For both the parallel pipes, assume the head loss due to friction only and the Darcy-Weisbach friction factor to be the same. The velocity ratio between the bigger and the smaller branched pipes is _________
Correct answer
2 to 2
Solution
For pipes in parallel, the head loss across each branch is the same.
Using the Darcy-Weisbach equation:
Since , , and are the same for both branches:
Given , we have .
Using the Darcy-Weisbach equation:
Since , , and are the same for both branches:
Given , we have .
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