Consider a pipe network comprised of nine $(J=9)$ junctions, thirteen $(N=13)$ branches and

four $(M=4)$ loops. The data provided include: the external inflows $(Q_{in})$ and outflows $(Q_{\text{o}\text{u}\text{t}})$ at

all network junctions, and the resistance coefficients $(R_i)$ and pipe diameters $(D_i)$ for all

branches. For this given network, write a computer code for the determination of the discharge

through each branch pipe following Hardy$-$Cross method. Set the convergence criterion for the

maximum correction value of $Q_l$ as $0\mathrm{.}001.$ Qinvar$=627$m$^3/$s Branch no$.$ Diameter $($m$)$ R $($s$2/$m$^5)$

$10\mathrm{.}495\mathrm{.}9$

$20\mathrm{.}495\mathrm{.}9$

$30\mathrm{.}3305$

$40\mathrm{.}3305$

$50\mathrm{.}3305$

$60\mathrm{.}23097$

$70\mathrm{.}23097$

$80\mathrm{.}23097$

$90\mathrm{.}3305$

$100\mathrm{.}3611$

$110\mathrm{.}3305$

$120\mathrm{.}29294$

$130\mathrm{.}23097$ Write a code in matlab for the given problem statement