GATE CE 2026 Set 1 — Question 16
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Water Resources Engineering → Pipe Flow → Darcy-Weisbach Equation
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Question
Two reservoirs having different water levels are connected by two long parallel pipelines of same length and same material but having diameters of 600 mm and 400 mm. Using Darcy-Weisbach equation, the ratio of flowrate of water in the bigger diameter pipe to that in the smaller diameter pipe is
Correct answer
(D) 2.76
Solution
For parallel pipes, the head loss () is the same for both pipes. According to the Darcy-Weisbach equation, . Since the length (), material (friction factor ), and head loss are the same, we have:The ratio of flowrate in the bigger pipe ( mm) to the smaller pipe ( mm) is:Thus, the correct option is (D).
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