Question $1$: Water moves through a rectangular channel that is $1m$ wide at a speed

of $0\mathrm{.}1\frac{m^3}{s}.$ Plot the specific energy diagram. Make necessary assumptions and solve

the following issues using the diagram:

a$)$ A $60cm-$diameter circular pipe serves as the starting point of the channel. The

cross$-$section gradually transforms into a rectangle with a width of one meter. If

the entry pipe is half full, get the flow depth at the rectangular section of the

channel.

b$)$ The approach flow depth is $5cm.$ There is a $7\mathrm{.}5cm$ high bump in the channel bed.

After the bump, determine the water's depth. Determine the crucial bump height

when it begins to affect the flow upstream.

c$)$ If there is a sluice gate in the channel, and water depth upstream a sluice gate is

$24cm.$ Find the depth after the gate.