Assignment $2(20$ marks$)$

Title: Flow Characteristics for Open Channels

Objective: The objective of this assignment is to analyze the behavior of uniform flow in open channels using the Chezy's equation and MATLAB programming.

Group Formation: Form a group of a maximum $5$ persons.

Assignment Details: Each group is required to determine the depth of flow for a specific section provided in the table below using Chezy's equation. Ensure that no repetition of the same data occurs across different groups.

Chezy's equation is utilized to calculate the discharge of flow in an open channel, as follows: $Q=AC{R}^{\frac{1}{2}}{S}^{\frac{1}{2}}$

where $Q$ is the discharge, $A$ is the cross$-$sectional area of the flow, $C$ is the Chezy coefficient, $R$ is the hydraulic radius, and $S$ is the slope of the channel.

You are also required to use MATLAB to generate a graph showing the variation of the calculated depth of flow for the selected section by varying $Q=(0\mathrm{.}5$:$0\mathrm{.}5$:$5)Q_i$ where $Q_{is}$ the initial $Q$ given in the table. Plot depth vs $Q$ using MATLAB. For the same conditions, the width, $b$ is now $2b,4b,$ and $6b.$ Replot and discuss your results.

$\backslash$table$[[\backslash$table$[[$No$.,$Section Type,$Q_i(\frac{m^3}{s}),S(\frac{m}{m}),C,$Width$/$Radius $(m)$