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CE 4353/5360 Design of Hydraulic Systems
Fall 2022 Exercise Set 8

LAST NAME, FIRST NAME

R00000000

Purpose :

Apply principles of gradually varied flow to open channel analysis and design

Assessment Criteria :

Completion, results plausible, format correct, calculations (Jupyter Notebook) are shown.

Problem 1

Figure 1 is a profile (elevation) view of a prismatic open channel assume the channel slopes occur as depicted. Note where the water surface begins on the left.

Figure 1. Profile of a channel

Determine:

  • $y_c$ and $y_o$ for each reach (state if $y_o$ is infinite). Annotate the figure with these items
  • Identify and label the bed slopes.
  • Identify and label the control points.
  • Draw a possible gradually varied flow profile and label all the curves (hydraulic slope and curve type).

Problem 2

Figure 2 is a profile (elevation) view of a prismatic open channel assume the channel slopes occur as depicted. Note where the water surface begins on the left.

Figure 2. Profile of a channel

Determine:

  • $y_c$ and $y_o$ for each reach (state if $y_o$ is infinite). Annotate the figure with these items
  • Identify and label the bed slopes.
  • Identify and label the control points.
  • Draw a possible gradually varied flow profile and label all the curves (hydraulic slope and curve type).

Problem 3

Figure 3 is a profile (elevation) view of a prismatic open channel assume the channel slopes occur as depicted. Note where the water surface begins on the left.

Figure 3. Profile of a channel

Determine:

  • $y_c$ and $y_o$ for each reach (state if $y_o$ is infinite). Annotate the figure with these items
  • Identify and label the bed slopes.
  • Identify and label the control points.
  • Draw a possible gradually varied flow profile and label all the curves (hydraulic slope and curve type).

Problem 4

Figure 4 is a profile (elevation) view of a prismatic open channel assume the channel slopes occur as depicted. Note where the water surface begins on the left.

Figure 4. Profile of a channel

Determine:

  • $y_c$ and $y_o$ for each reach (state if $y_o$ is infinite). Annotate the figure with these items
  • Identify and label the bed slopes.
  • Identify and label the control points.
  • Draw a possible gradually varied flow profile and label all the curves (hydraulic slope and curve type).

Problem 5

A reservoir discharges into a long trapezoidal channel that has a bottom width of 20 ft, side slopes of 3:1, a Manning's n of 0.025, and a bed slope of 0.001. The reservoir water surface is 10 ft above the invert of the channel entrance.

Determine:

  • Channel discharge
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# sketch(s) here
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# list known quantities
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# list unknown quantities
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# governing principles
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# solution (step-by-step/computations)
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# discussion

Problem 6 (Application of ENGR 1330 Computational Thinking)

A rectangular channel 6.1 m wide with n = 0.014 is laid on a slope of 0.001 and terminates in a free overfall. Upstream 300 m from the overfall is a sluice gate that produces a depth of 0.47 m immediately downstream. For a discharge of 17.0 $\frac{m3}{s}$, Create a script (Jupyter Notebook) to compute and plot the water surface profiles and the location of the hydraulic jump using the direct step method.

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# sketch(s) here
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# list known quantities/inputs
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# list unknown quantities/outputs
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# governing principles/algorithms used
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# solution (step-by-step/computations)
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# discussion