A flow of 1.8 m3/s is carried in a rectangular channel1.6 m wide at a depth of 0.9 m. Assess whether critical depth occurat a section, and determine the downstream depth, y2,where appropriate, and the upstream depth, y1 if it isaffected, for the following 3 cases:
(a) a frictionless hump 15 cm high is installed across the bed,
(b) a frictionless sidewall constriction (with no hump) reduces thechannel width to 1.3 m; and
(c) the hump in part
(a) and the sidewall constriction in part
(b) are installed together? Show calculations to justify your answer and sketch a specific energy diagram to illustrate the process of changes in flow depth in eachcase.