We assumed frictionless flow in solving the bump case, Prob. 10.65, for which V2 = 1.21 m/s and y2 = 0.826 m over the crest when hmax = 15 cm, V1 = 1 m/s, and y1 = 1 m. However, if the bump is long and rough, friction may be important. Repeat Prob. 10.65 for the same bump shape, h = 0.5hmax [1 – cos
(2π x /L)], to compute conditions
(a) At the crest and
(b) At the end of the bump, x = L. Let hmax = 15 cm and L = 100 m, and assume a clean-earth surface.