Problem Nr$.4$

The following data are provided for the water flow network shown in Figure $3$:

Temperature of water: $T=20C$

Water flowrate: $Q=230+Z[\frac{m^3}{h}],Z=15$

Atmospheric pressure: $P_0=1$atm

Inner diameter of suction pipeline: $d_1=0\mathrm{.}125m$

Inner diameter of discharge pipeline: $d_2=0\mathrm{.}100m$

Roughness height of pipes: $=0\mathrm{.}5mm$

Resistance coefficient at comers: $K=0\mathrm{.}5$

Resistance coefficient at the entrance of suction pipeline: $K=0\mathrm{.}3$

$L_1=8+0\mathrm{.}05*Z[m],L_2=3[m],L_3=12+0\mathrm{.}1*Z[m],L_4=6[m],z_{\text{g}\text{e}\text{o}\text{d}\text{.}}=7[m].$

Length $L_4$ is equally distributed to the three vertical branches of the discharge pipeline.

Calculate:

$($i$)$ The pressure $($friction$)$ losses at the suction pipeline.

$($ii$)$ The pressure $($friction$)$ losses at the discharge pipeline.

$($iii$)$ The pressure increase at the pump necessary to maintain the above flow rate.

$($iv$)$ The value of absolute pressure after the first comer of the discharge pipeline.