Using the Hardy Cross Method, determine in $\frac{m^3}{s}$ the flow rates in pipes of the network in Figure $1$ and Table $1.$

Assuming the following:

A Darcy friction co$-$efficient $($f$)$ for all pipes is $0\mathrm{.}005$

A clockwise direction around loops being a positive flow.

The initial flows are Pipe $2=-100\frac{l}{s},$ Pipe $3=-250\frac{l}{s},$ Pipe $5=50\frac{\text{I}}{s}$

Not a single pipe has a flow $=0\frac{l}{s}$

Calculate your answer up to $2$ decimals.

$($DO ONLY ONE ITERATION$)$

Table $1$:

$\backslash$table$[[$PIPE$,$DIAMETER $(mm),$LENGTH $(mm)$