Water flows in a channel of the shape of isosceles triangle of bed width 'a' and sides making an angle of 45° with the bed. Determine the relation between depth of flow 'd' and the bed width 'a' for maximum velocity and for maximum discharge condition. Use manning's formula and note that 'd' is less than 0.50a.

Problem 7-26

The flow depth upstream of a sluice gate is 0.60 meters. The velocity is 0.9 m/s. a. What is the minimum allowable gate opening for the upstream flow to be possible as specified? b. If the gate opening is instantaneously set to 0.15 meters: i. What is the initial unit discharge, q, under the gate? What is the final depth at the upstream side of the gate? ii.

A circular pipe has a diameter of 1m, bed slope of 1 in 1000, and Manning's roughness coefficient equal to 0.01. It may be treated as an open channel flow when it is flowing just full i.e., the water level just touches the crest. The discharge in this condition is denoted by Qull- Similarly, the discharge when the pipe is flowing half-full, i.e. with a flow depth of 0.5 m is denoted by Qhalf. The rato Qull/Qhalf is