Consider a pipe flow example for a pipe diameter $($D$)$ of $400,500,600,700,800,900,1000$ and

$1100mm.$ Equation $1$ determines the area of the pipe:

$A=\frac{D^2}{4}(Equation1)$

The flow in the pipe is given by:

$Q=AV,(Equation2)$

Where $V$ is the fluid velocity given by Manning's Equation as:

$V=\frac{1}{n}(R^{\frac{2}{3}}{S}^{\frac{1}{2}}),(Equation3)$

In the above expressions:

$D=$ diameter of the pipe, $m$

$R=$ hydraulic radius $(=\frac{A}{P})$

$P=$ wetted perimeter of the pipe $(=D)$

$n=$ Mannings's roughness coefficient $(=0\mathrm{.}015)$

$A=$ cross sectional area of the pipe

$S=$ slope of the pipe $=1\mathrm{.}5\%($or $0\mathrm{.}015)$

a$.$ Use MATLAB to store variables $D,n$ and $S$ as arrays

b$.$ Combine all values, including pipe diameter, area, wetted perimeter, hydraulic radius,

velocity and flow, into a single array $($Data$).$

c$.$ Create a line plot of diameter versus flow. Label the x$-$axis as "pipe diameter $($m$)"$ and the

y$-$axis as "flow $(\frac{m^3}{s})".$ Title your plot as "Pipe flow calculation using Manning's

equation". Add grid and legend $("$flow$")$ to your plot. Customize the color, symbol and line

type of the plot.