A trapezoidal channel of bed width 5 m and side slopes 1:2 has a flow of 15 m3/s. At a certain point in the channel the bed slope changes from 10 m/km (upstream) to 50 m/km (downstream). Taking Manning’s n to be 0.035, determine the following: a. The normal depth of flow upstream and downstream b. The critical depth of flow upstream and downstream c. The Froude number upstream and downstream d. The depth at the intersection of the two slopes Sketch the flow profile.

Principles of Geotechnical Engineering (MindTap Course List)
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Author:Braja M. Das, Khaled Sobhan
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Chapter7: Permeability
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A trapezoidal channel of bed width 5 m and side slopes 1:2 has a flow of 15 m3/s. At a certain point in the channel the bed slope changes from 10 m/km (upstream) to 50 m/km (downstream). Taking Manning’s n to be 0.035, determine the following:

a. The normal depth of flow upstream and downstream

b. The critical depth of flow upstream and downstream
c. The Froude number upstream and downstream

d. The depth at the intersection of the two slopes Sketch the flow profile.

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