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Water and Wastewater Engineering
Open-Channel Flow
2 SOLVED PROBLEMS
20 SOLVED PROBLEMS
Question: 5.3
A 10-m wide, rectangular, concrete-lined channel (n = 0.013) has a bottom slope of 0.01 and a constant-level reservoir at the upstream end. The reservoir water level is 6.0 m above the channel bottom at entrance. Assuming the entrance losses and the approach velocity in the reservoir to be ...
Verified Answer:
Let us assume the control is at the channel entran...
Question: 2.1
A 4-m wide rectangular channel is carrying 10 m³/s at a depth of 2.5 m. There is a step rise of 0.2 m in the channel bottom. Assuming there are no losses at the transition, determine the flow depth downstream of the bottom step. Does the water surface rise or fall at the step? ...
Verified Answer:
The flow velocity and the specific energy at secti...
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Question: 14.1
A trapezoidal channel having a bottom width of 6.1 m and side slopes of 1.5H : 1V is carrying a flow of 126 m³ /s at a flow depth of 5.79 m. The bottom slope is 0.00008, Manning n = 0.013 and the channel length is 5 km. There is a constant-level reservoir at the upstream end of the channel. If a ...
Verified Answer:
A computer program was written based on these fini...
Question: 11.1
A 1-m wide rectangular channel is carrying a flow of 5 m³ /s at a flow depth of 2 m. Determine the height of a surge wave and its velocity if the discharge is suddenly increased to 10 m³ /s at the upstream end. Given: Q1 = 5 m³ /s; Q2 = 10 m³ /s; y1 = 2 m; B = 1 m. Determine: y2 = ? Vw = ? ...
Verified Answer:
The flow velocity at section 1,
\quad\quad\...
Question: 9.4
By using the regime approach, determine the cross section of an alluvial channel for a design flow of 8 m³ /s. The sediment carried by water is 0.4 mm sand. Given: Q = 8 m³ /s; d = 0.4 mm. Determine: Bo = ? y = ? ...
Verified Answer:
\quad\quad\quad\quad P=4.75\sqrt{8}=13.44 ...
Question: 9.3
Design a straight trapezoidal channel for a design discharge of 10 m³ /s. The bottom slope is 0.00025 and the channel is excavated through fine gravel having particle size of 8 mm. Assume the particles are moderately rounded and the water carries fine sediment at low concentrations. Given: ...
Verified Answer:
For fine gravel, n = 0.024 and s = 3H : 1V. Theref...
Question: 9.1
Design a trapezoidal channel to carry a discharge of 10 m³ /s. The channel will be excavated through rock by blasting. The topography in the area is such that a bottom slope of 1 in 4000 will be suitable. Given: Q = 10 m³ /s; Flow surface is blasted rock; So = 0.00025. ...
Verified Answer:
For the blasted rock surface, n = 0.030 and the si...
Question: 9.2
Design a channel to carry a flow of 6.91 m³ /s. The channel will be excavated through stiff clay at a channel bottom slope of 0.00318. Given: Q = 6.91 m³ /s; So = 0.00318; Channel material is clay. Determine: Bo = ? Flow depth = ? ...
Verified Answer:
For stiff clay, n = 0.025, suggested side slope, s...
Question: 5.1
Sketch the water-surface profile in the channels connecting the reservoirs, as shown in Fig. 5-5a. The bottom slope of channel 1 is steep and that of channel 2 is mild. ...
Verified Answer:
Compute the critical and normal depths for each ch...
Question: 6.3
Figure 6-13 shows a channel network. The channel data are listed in Table 6-3. All channels have subcritical flow and trapezoidal cross sections having side slopes of 1.5 horizontal to 1 vertical. The flow depth at the downstream end (Node F) is 5 m for a flow of 250 m³ /s. The form loss ...
Verified Answer:
The channels and nodes are numbered as shown in Fi...
Question: 4.1
Compute the normal depth in a trapezoidal channel having a bottom-width of 10 m, side slopes of 2H to 1V and carrying a flow of 30 m³ /s. The slope of the channel bottom is 0.001 and n = 0.013. Given: Q = 30 m³ /s; n = 0.013; Bo = 10 m; s = 2; So = 0.001; Co = 1.0 Determine: yn= ? ...
Verified Answer:
We use the above procedures one by one to determin...
Question: 6.2
A trapezoidal channel having a bottom slope of 0.001 is carrying a flow of 30 m³ /s. The bottom width is 10.0 m and the side slopes are 2H to 1V. At the downstream end, a control structure raises the water depth to 5.0 m. Determine the water-surface levels at 1, 2, and 4 km upstream of control ...
Verified Answer:
Let us call the distance at the control structure ...
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