QUESTION $4$

$4\mathrm{.}1$ The pipe network below is extracted from the design project of WSE$3701$ students. The simulation results showed imbalanced flows, which resulted in high$-$pressure variations throughout the pipe network. Using the Hardy Cross method, balance the flows such that the continuity equation at each node is satisfied and determine the flow velocities in each pipe after the application of the $2^{nd}$ iteration. $f=0\mathrm{.}01,n=2.CW=$ positive. At node $E,0\mathrm{.}35\frac{m^3}{s}$ is leaving the system. Use $Q=-\frac{{\displaystyle \underset{?}{\overset{?}{}}}H}{n{\displaystyle \underset{?}{\overset{?}{}}}\frac{H}{Q}}$

Table with pipe details:

$\backslash$table$[[$Pipe$,$Flow $(\frac{m^3}{s}),$Length $(m),$Diameter $(mm)$