GATE CE 2024 Set 2 — Question 57
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Water Resources Engineering → Pipe Flow → Darcy-Weisbach Equation
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Question
A 500 m long water distribution pipeline P with diameter 1.0 m, is used to convey of flow. A new pipeline Q, with the same length and flow rate, is to replace P. The friction factors for P and Q are 0.04 and 0.01, respectively. The diameter of the pipeline Q (in meters) is ______________ (rounded off to 2 decimal places).
Correct answer
0.7 to 0.8
Solution
To maintain the same flow rate and replace the pipeline, we assume the head loss remains the same. Using the Darcy-Weisbach equation in terms of discharge:Since and are identical for both pipelines P and Q, and :Given , , and :Rounding to two decimal places, the diameter of pipeline Q is .
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