#623 Water flows in a rectangular flume 1.5 m

Water flows in a rectangular flume 1.5 m - Mechanical Engineering

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Free Chegg Question

Water flows in a rectangular flume 1.5 m wide made of unplaned timber (n = 0.013). Find the necessary channel slope if the water flows uniformly at a depth of 0.6 m and at 4.5 m/s.

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Free Chegg Answer

1. Step 1 of 5

   Given data:

   Width of the rectangular flume 

   Manning’s coefficient 

   Velocity in the rectangular flume 

   Depth of flow in the rectangular flume 

2. Step 2 of 5

   Channel cross section

   

3. Step 3 of 5

   Manning’s equation for velocity in SI units

   

   Where

   Hydraulic radius

   

   Area of the channel cross section

   

   Wetted perimeter

   

4. Step 4 of 5

   Area of the channel cross section

   

   Wetted perimeter for the channel

   

5. Step 5 of 5

   Hydraulic radius

   

   Thus, velocity in the channel

   

   Therefore the bed slope of the rectangular flume is