A stilling basin whose width is $80$ m has to convey $2210$ m$3/$s from the

gated spillway of a dam. The upstream head corresponding to this flow is $5$

m and the velocity of approach to the spillway is $2$ m$/$s$.$ The floor of the

stilling basin is $50$ m below the spillway crest level and it can be assumed

that $25\%$ of the total energy above the stilling basin floor is lost in the fall.

$$ Estimate the depth and supercritical velocity at the entrance to the

stilling basin

$$ Determine the subsequent depth of flow after the hydraulic jump.

$$ If the tailwater depth $($yt$)$ downstream of the stilling basin is given by yt $0\mathrm{.}38$Q$^1/2$

$,$ where Q is the flow, determine whether yt

is greater than the conjugate subcritical depth of flow. What effect will this have?