Problem 4 Water flows in a rectangular channel with channel width B = 4.0 (m). The specific energy diagram (SED) of this flow is given in the figure below. (y =0.2 m) (1) Estimate the channel discharge Q from the given SED. (2) If the water depth in the channel at a cross section is y₁ = 0.45 (m). The channel bottom is raised smoothly by Az = 0.2 (m). Determine if the flow will be "choked" by the raised step. If yes, estimate the "backed up” depth upstream, y₁. If not, what is the water depth y₂ above the step? y (m) 0.55 0.5 0.45 0.4 0.35 > 0.3 0.25 0.2 0.15 0.1 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 E (m)

Structural Analysis
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Problem 4
Water flows in a rectangular channel with channel width
B = 4.0 (m). The specific energy diagram (SED) of this flow is given in the figure
below. (y =0.2 m)
(1) Estimate the channel discharge Q from the given SED.
(2) If the water depth in the channel at a cross section is y₁ = 0.45 (m). The channel
bottom is raised smoothly by Az = 0.2 (m). Determine if the flow will be "choked"
by the raised step. If yes, estimate the "backed up” depth upstream, y₁. If not, what is
the water depth y₂ above the step?
y (m)
0.55
0.5
0.45
0.4
0.35
> 0.3
0.25
0.2
0.15
0.1
0.2
0.25
0.3
0.35 0.4
0.45 0.5
0.55
E (m)
Transcribed Image Text:Problem 4 Water flows in a rectangular channel with channel width B = 4.0 (m). The specific energy diagram (SED) of this flow is given in the figure below. (y =0.2 m) (1) Estimate the channel discharge Q from the given SED. (2) If the water depth in the channel at a cross section is y₁ = 0.45 (m). The channel bottom is raised smoothly by Az = 0.2 (m). Determine if the flow will be "choked" by the raised step. If yes, estimate the "backed up” depth upstream, y₁. If not, what is the water depth y₂ above the step? y (m) 0.55 0.5 0.45 0.4 0.35 > 0.3 0.25 0.2 0.15 0.1 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 E (m)
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