A trapezoidal channel with 3.0m bottom width and 1:1 side slope carries a discharge of 10 m³/s at a slope of 12 cm/km. A hydraulic jump is formed in the channel with an initial depth of 0.6m. Calculate the momentum function, the critical depth, and the conjugate depth. Y₁ = 0.6m Y₂ B Fig. 5 Hydraulic jump and channel's cross-section y k b = 3.0m

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter8: Stresses In A Soil Mass
Section: Chapter Questions
Problem 8.2P
Question
Hydraulics Please show solution in getting yc and y2.
■ A trapezoidal channel with 3.0m bottom width and 1:1 side slope
carries discharge of 10 m³/s at a slope of 12 cm/km. A hydraulic
jump is formed in the channel with an initial depth of 0.6m. Calculate
the momentum function, the critical depth, and the conjugate depth.
y₁ = 0.6m
A₂
Y₂
B
Fig. 5 Hydraulic jump and channel's cross-section
y
b = 3.0m
Transcribed Image Text:■ A trapezoidal channel with 3.0m bottom width and 1:1 side slope carries discharge of 10 m³/s at a slope of 12 cm/km. A hydraulic jump is formed in the channel with an initial depth of 0.6m. Calculate the momentum function, the critical depth, and the conjugate depth. y₁ = 0.6m A₂ Y₂ B Fig. 5 Hydraulic jump and channel's cross-section y b = 3.0m
y
2.0
1.5
1.0
0.5
Y2
Yc
1
Y1 = 0.6
2 3
Mmin
4 5 6 7
89 10 M
Fig. 6 The M-y diagram
Transcribed Image Text:y 2.0 1.5 1.0 0.5 Y2 Yc 1 Y1 = 0.6 2 3 Mmin 4 5 6 7 89 10 M Fig. 6 The M-y diagram
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