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A rectangular laboratory channel has a bottom width of 6.0 in, a Manning roughness coefficient of...

A rectangular laboratory channel has a bottom width of 6.0 in, a Manning roughness coefficient of n = 0.010, longitudinal slope of 2% (So = 0.02). The discharge is 180 gpm. Assume α = 1. The water depth is 2.5 inches at Point A, and 3.0 inches at Point B.

(a) Determine normal depth (report your answer in inches)

(b) Determine critical depth (report your answer in inches)

(c) Determine category of channel slope (mild or steep). State the basis for your answer.

(d) What type of profile exists in the vicinity of Point A? Make a sketch of the general shape of this type of water surface profile. Be sure to label the channel bottom, NDL, CDL, water surface and flow direction.

(e) Use the direct step method with one step (Δy = 0.5 in) to determine the distance from Point A to Point B. Do this by hand, using a calculator. Show all work.

(f) Which point is upstream, A or B? Explain the reason for this answer.

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