Fundamentals of Geotechnical Engineering (MindTap Course List)
Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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[画像:Problem 7 Water is flowing in a channel with a rectangular cross-section. The channel has a uniform width of b 10 m, and it is equipped with a broad-crested weir. The height of flow in a channel far upstream of the weir is h1 2 m, while the weir is == hweir = 0.8 m above the bed of the channel. = 1. Assuming the flow over the weir is critical, calculate the flow rate in the channel by iteratively solving for the critical depth he. Perform at least 3 iterations. Did the flow rate converge? 2. Given the water depth immediately downstream of the weir is 90% of the critical depth hc, what is the water depth after the flow experiences a hydraulic jump further downstream? 3. How much energy is dissipated by the hydraulic jump? h1 hweir Figure 7: A subcritical flow goes over a broad-crested weir, and it experiences a hydraulic jump downstream of the weir. Figure not to scale.]
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Transcribed Image Text:Problem 7 Water is flowing in a channel with a rectangular cross-section. The channel has a uniform width of b 10 m, and it is equipped with a broad-crested weir. The height of flow in a channel far upstream of the weir is h1 2 m, while the weir is == hweir = 0.8 m above the bed of the channel. = 1. Assuming the flow over the weir is critical, calculate the flow rate in the channel by iteratively solving for the critical depth he. Perform at least 3 iterations. Did the flow rate converge? 2. Given the water depth immediately downstream of the weir is 90% of the critical depth hc, what is the water depth after the flow experiences a hydraulic jump further downstream? 3. How much energy is dissipated by the hydraulic jump? h1 hweir Figure 7: A subcritical flow goes over a broad-crested weir, and it experiences a hydraulic jump downstream of the weir. Figure not to scale.
Transcribed Image Text:Open Channel Flow - Rectangular Cross-section իշ h1 = 12 u2 h1+1 + 2g h2+22 ལ།དྲ་ 2g Fr (Conservation of energy) U √gh (Froude number) gh h1 Q=b21 r = (Venturi flume) h2 2 = b√gh23 (Broad-crested weir) h1 ≈ 0.61; Q = bCchgate 2ght h1 + Cchgate h2 Cc = hgate 1 h1 h1 H2 h2 (2+ Fr = 1+8Fr - Fr 1+ 2 h2 h2 H1 h1 2+ Fr (Sluice gate) (Hydraulic jump) Generalized Poiseuille's law for flow in a tube R2 (dp Uavg 8μ ( + pgsina ds
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