GATE ME 2019 Set 2 — Question 53
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Fluid Mechanics → Viscous & Pipe Flow → Parallel Plate & Hagen-Poiseuille
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Question
Water flows through two different pipes A and B of the same circular cross-section but at different flow rates. The length of pipe A is 1.0 m and that of pipe B is 2.0 m. The flow in both the pipes is laminar and fully developed. If the frictional head loss across the length of the pipes is same, the ratio of volume flow rates is ______ (round off to two decimal places).
Correct answer
0.48 to 0.52
Solution
For laminar, fully developed flow in a circular pipe, the frictional head loss is given by the Hagen-Poiseuille equation:Given that the cross-sections are the same () and the head loss is the same (), and assuming the fluid properties () are identical, we have:Substituting the given lengths m and m:
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