Homework $3$: Problem $4$

Consider the following three$-$reservoir system:

For the system below, determine the magnitude of the flow rate at pipe $2$ in $[$cms$].$ The system has the following characteristics: $x_1=1676\mathrm{.}0[m],D_1=0\mathrm{.}37[m]$;$x_2=1365\mathrm{.}0$

$[$m$],D_2=0\mathrm{.}4[m],H_2=2090[m]$;$x_3=2347\mathrm{.}0[m],D_3=0\mathrm{.}48[m],H_3=2020[m].$ All pipes are rough concrete with roughness height $e=0\mathrm{.}6[mm].$ The elevation of junction J is

$2049[m]$ and the pressure at junction $J$ is $79\mathrm{.}9[kPa].$

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