How to solve

In a fluid pumping system, fluid with relative density $0\mathrm{.}78$ and saturation vapour pressure $12\mathrm{.}5$ kPa $($abs$.)$ is pumped from one tank to another. The following data apply:

$\backslash$table$[[,$Suction side,Discharge side$],[$Tank pressure $($kPa $($g$)),0($atm$),30],[$Static lift $($m$),2\mathrm{.}5,7\mathrm{.}8],[{\displaystyle \underset{?}{\overset{?}{}}}K($including entrance or exit$),8\mathrm{.}5,28\mathrm{.}2],[$Pipe diameter $($mm$),150,150],[$Pipe length $(m),4\mathrm{.}5,34],[$Friction factor $($assumed constant$),0\mathrm{.}018,0\mathrm{.}018]]$

The system head equation is of the form:

$H=A+C{V}^{}{?}^2(Hinm$ and $V^{}in\frac{L}{s})$

$($a$)$ Determine the value of the factor $C$ for the suction side only.

$($b$)$ Determine the value of the factor $C$ for the discharge side only.

$($c$)$ Write the system head equation for the whole system.

$($d$)$ Complete the following table:

$\backslash$table$[[$Flow rate $($L$/$s$),0,10,20,30,40,50],[$System head $(m),,,,,,]]$

$($e$)$ Determine the maximum flow rate to avoid cavitation if the NPSHR is $2\mathrm{.}0$ m $.$

$($a$)1\mathrm{.}476$

${10}^{-3}$

$($b$)5\mathrm{.}269$

${10}^{-3}$

$($c$)H=14\mathrm{.}22+6\mathrm{.}744{10}^{-3}{V}^{}{?}^2$

$($d$)$

$\backslash$table$[[$Flow rate $($L$/$s$),0,10,20,30,40,50],[$System head $($m$),14\mathrm{.}2,14\mathrm{.}9,16\mathrm{.}9,20\mathrm{.}3,25\mathrm{.}0,31\mathrm{.}1]]$

$($e$)69\mathrm{.}4\frac{L}{s}$