QUESTION $4[35]$

$4\mathrm{.}1$ Determine the flow of each pipe as represented in the pipe network shown in Figure $2.$ Perform two

iterations only $[$USE EXCEL FOR CALCULATIONS$].$ For simplicity, take $n=2\mathrm{.}0$ and use the value of

$f$ for complete turbulence $($equation below$).$ All pipes are cast iron $($for cast iron: $=0\mathrm{.}00025m)$ and are

at the same elevation. For initial flows, assume only values of $30,15,$ and $0\frac{L}{s}$ the zeros in $dg$ and $fh.$

If the pressure head at $a$ is $40m,$ find the pressure head at $d$ neglecting velocity heads.

$4\mathrm{.}2$ Write matrix equations for the pipe network.

$h_L=K{Q}^2$ with $K=8f\frac{L}{{}^{2}g{D}^5}.$

$e=0\mathrm{.}00025m$

Using $f=f_{\text{m}\text{i}\text{n}}$ for complete turbulence

$f=f_{\text{m}\text{i}\text{n}}=[2log(\frac{3\mathrm{.}7}{\frac{}{D}}){]}^{-2}$

Use the initial flow assumptions $(\frac{L}{s})$ given below;

For example, etc.

For uniformity use the following table.