GATE CE 2014 Set 1 — Question 59
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Water Resources Engineering → Pipe Flow → Darcy-Weisbach Equation
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Question
A straight 100 m long raw water gravity main is to carry water from an intake structure to the jack well of a water treatment plant. The required flow through this water main is . Allowable velocity through the main is . Assume , . The minimum gradient (in cm/100 m length) to be given to this gravity main so that the required amount of water flows without any difficulty is ___________
Correct answer
4.7 to 4.9
Solution
Given:
Length
Discharge
Velocity
Friction factor
Step 1: Calculate the cross-sectional area () and diameter ():
Step 2: Calculate head loss () using Darcy-Weisbach equation:
Step 3: Calculate the gradient ():
Gradient in cm per 100 m length = .
Length
Discharge
Velocity
Friction factor
Step 1: Calculate the cross-sectional area () and diameter ():
Step 2: Calculate head loss () using Darcy-Weisbach equation:
Step 3: Calculate the gradient ():
Gradient in cm per 100 m length = .
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