Calculus tells us that the most effi cient water depth for a rectangular channel (such

Chapter 10, Problem p10.47

(choose chapter or problem)

Calculus tells us that the most effi cient water depth for a rectangular channel (such as Fig. E10.1) is y/b 5 1/2. It yields the highest normal fl ow rate for a given area. But is this a sharp or a fl at maximum? For a fl ow area of 1 m2 and a clay tile channel with a slope of 0.006, plot the normal fl ow rate Q, in m3 /s, versus y/b for the range 0.3 # y/b # 0.7 and comment.

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