Example $5\mathrm{.}12$ Consider the hydropower plant shown in the figure. The

water surface elevation of the reservoir behind the dam is $135m.$ whereas

the tailwater elevation $($water surface in the river downstream of the turbine$)$

is $45m.$ A turbine located $30m.$ elevation subtracts $60m$ of head from the

flowing water. Head losses along the pipes before and after the turbine

$($pipes $1$ and $2)$ are given as and respectively.

Calculate the water discharge in the system

Calculate the pressure just before and after the turbine $($at points $C$ and $D)$

Draw EGL and HGL

Compute the electric power produced if the turbine is operating at an

efficiency of $0\mathrm{.}8.$

$(zA=135m,zB=45m,zC=zD=30m,D1=0\mathrm{.}3m,D2=0\mathrm{.}6m)$