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Water flows over the bump in the bottom of the rectangular channel shown in the figure below with a flowrate per unit width of q = 4 m²/s. The channel bottom contour is given by zB = 0.2e¯** where zg and x are in meters. The water depth far upstream of the bump is y1 0.4 m. Calculate (a) the water depth, y, and (b) the surface elevation, z, for x = 0.5 m. Assume one-dimensional flow. (a) y = i (b) z= i m 3 V₁ 31 y(x) z(x) -x -0.2

Water flows over the bump in the bottom of the rectangular channel shown in the figure below with a flowrate per unit width of q = 4 m²/s. The channel bottom contour is given by zB = 0.2e¯** where zg and x are in meters. The water depth far upstream of the bump is y1 0.4 m. Calculate (a) the water depth, y, and (b) the surface elevation, z, for x = 0.5 m. Assume one-dimensional flow. (a) y = i (b) z= i m 3 V₁ 31 y(x) z(x) -x -0.2

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:Braja M. Das, Nagaratnam Sivakugan
Chapter8: Stresses In A Soil Mass
Section: Chapter Questions
Problem 8.14P
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Water flows over the bump in the bottom of the rectangular channel shown in the figure below with a flowrate per unit width of q = 4 m²/s. The channel bottom contour is given by zB = 0.2e¯** where zg and x are in meters. The water depth far upstream of the bump is y1 0.4 m. Calculate (a) the water depth, y, and (b) the surface elevation, z, for x = 0.5 m. Assume one-dimensional flow. (a) y = i (b) z= i m 3 V₁ 31 y(x) z(x) -x -0.2
Transcribed Image Text:Water flows over the bump in the bottom of the rectangular channel shown in the figure below with a flowrate per unit width of q = 4 m²/s. The channel bottom contour is given by zB = 0.2e¯** where zg and x are in meters. The water depth far upstream of the bump is y1 0.4 m. Calculate (a) the water depth, y, and (b) the surface elevation, z, for x = 0.5 m. Assume one-dimensional flow. (a) y = i (b) z= i m 3 V₁ 31 y(x) z(x) -x -0.2
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