GATE CE 2017 Set 2 — Question 49
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Water Resources Engineering → Laminar & Turbulent Flow → Darcy-Weisbach Equation
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Question
Water is pumped at a steady uniform flow rate of through a horizontal smooth circular pipe of diameter. Given that the Reynolds number is and is , the head loss (in meters, up to one decimal place) per km length due to friction would be ___________
Correct answer
65 to 69
Solution
1.Identify Flow Regime: Given Reynolds number . Since , the flow is laminar.
2.Calculate Velocity ():
The flow rate and diameter .3.Determine Friction Factor ():
For laminar flow in a pipe, the friction factor .4.Calculate Head Loss ():
Using the Darcy-Weisbach equation for a length :Final answer is approximately 66.1 m, which falls within the range [65.0, 69.0].
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