Water flows uniformly in a 14-ft-diameter - Mechanical Engineering

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Water flows uniformly in a 14-ft-diameter concrete pipe (n = 0.014, S₀ = 0.0004) at a depth of 6 ft. Using Fig. 10.10, determine the flow rate and the average flow velocity.

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Free Chegg Answer

Step 1 of 7

Given data:

Manning’s coefficient

Bed slope of the concrete pipe

Depth of water

Diameter of the concrete pipe
Step 2 of 7

Channel cross section
Step 3 of 7

Manning’s equation for flow rate in BG units

Where

Area of the channel cross section

Hydraulic radius

Wetted perimeter
Step 4 of 7

For full flow in the pipe

Area of the channel cross section

Wetted perimeter for the channel
Step 5 of 7

Hydraulic radius

Thus, flow rate in the channel
Step 6 of 7

Velocity of flow when pipe is full
Step 7 of 7

Calculate the flow rate and average velocity for 6 ft depth of flow by using the diagram

Hydraulic characteristics of circular pipe

For

and

Therefore

Flow rate

Average velocity

Hence the flow rate and average velocity for 6 ft depth of flow is and