(a) In a short section of a channel carrying a steady discharge of 36 m^3/s, the depth is seen to increase from 1.6 m to 1.75 m. The channel is rectangular, 20 m wide with a bedslope of 0.0002 and Manning n of 0.014. Over what distance does this increase in depth occur?
(b) A pressure wave is moving upstream in a pipeline as a result of a rapid partial closure of a valve. Ignoring the elasticity of the pipeline, transform this unsteady flow to an apparent steady flow and apply the continuity and momentum equations to this system.