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CE 4353 Design of Hydraulic Systems
CE 5360 Open Channel Flow
Fall 2023 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.

Instructions :

  • CE 4353 Complete All Problems
  • CE 5360 Complete All Problems

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
In [6]:
# sketch(s) 
# list known quantities
# list unknown quantities
# governing principles
# solution details (e.g. step-by-step computations)
# discussion