A hydraulic jump, sketched in Fig. 4.19, can occur in a channel with no apparent cause, such as when a fast flowing stream flows from the mountains to the plains. (It is analogous to a shock wave that exists in a gas flow.) The momentum equation allows the height downstream to be calculated if the upstream height and velocity are known. Neglect any frictional force on the bottom and sidewalls and determine y2 in the rectangular channel if
(a) V1 ¼ 10 m=s and y1 ¼ 50 cm
(b) V1 ¼ 8 m=s and y1 ¼ 60 cm
(c) V1 ¼ 12 m=s and y1 ¼ 40 cm (d ) V1 ¼ 16 m=s and y1 ¼ 40 cm

V1

         figure 4.19