A sluice gate is installed to control flow in a concrete lined rectangular channel that has a width of $1$ meter. Discharge of $1\mathrm{.}8\frac{m^3}{s}$

passes under the sluice gate with an opening of $0\mathrm{.}3m.$ Channel bed drops $3m$ over a length of $1km.$ Just upstream of sluice gate, water depth is $1\mathrm{.}1m.$

$-$Estimate downstream flow depth at a distance sufficiently away from sluice gate.

$-$Evaluate whether a hydraulic jump will occur downstream of sluice gate

$-$Estimate energy loss because of jump if a hydraulic jump occurs downstream of sluice gate.

$-$What type of flow profile you can expect upstream of sluice gate.