Question

 Water flows through the channel. The depth of flow is y =1.75 m and the downward slope of the channel is 0.006. The sides of the channel are finished concrete. (Figure 1)

 Part A

 Determine the volumetric flow of water through the channel.

 

Answer 1

Bottom width B = 2 m

Depth of flow y = 1.75 m

Side slope z = 1 horizontal : 2 vertical = 0.5

Area of cross section of channel A is given by:

A = (B + zy)y = (2 + 0.5*1.75)*1.75 = 5.03125 m²

Wetted perimeter P is given by:

Hydraulic radius R = Area of cross section / Wetted perimeter = A/P = 5.03125 / 5.913 = 0.85086 m

Bed slope S = 0.006

Manning's coefficient for finished concrete n = 0.012

Volumetric flow through the channel is given by:

Answer 2

Answer 3