GATE CE 2018 Set 2 — Question 58
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Water Resources Engineering → Laminar & Turbulent Flow → Darcy-Weisbach Equation
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Question
A rough pipe of diameter, length and roughness height of , carries water (kinematic viscosity ) with velocity of . Friction factor () for laminar flow is given by , and for turbulent flow it is given by where, , , and . The head loss (in m, up to three decimal places) in the pipe due to friction is ______
Correct answer
4.5 to 4.7
Solution
1.Calculate the Reynolds number ():
Given:- Diameter () =
- Velocity () =
- Kinematic viscosity () =
2.Calculate the friction factor ():
Given the formula for turbulent flow:Where:
- Radius () =
- Roughness height () =
3.Calculate the head loss () using the Darcy-Weisbach equation:
Given:- Length () =
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