QUESTION $5[18$ Marks$]$

A rectangular channel carries a discharge of $\backslash (70\backslash$mathrm$\{$~m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash ).$ The median particle diameter of the suspended load is $2\mathrm{.}5$ mm $.$ The channel conveyance factor is $700.$ Use $\backslash ($ v$=1\mathrm{.}14^\{*\}10^\{-6\}\backslash ).$

Determine the following:

$($a$)$ Chezy's Coefficient and D$-$W friction factor

$($b$)$ Bed slope required to be provided

$($c$)$ Normal flow width, depth and mean velocity

$($d$)$ Critical flows: depth, velocity, slope and specific energy

$($e$)$ Reynolds number and Froude number and state their status

$($f$)$ Normal depth of flow at a discharge of $\backslash (50\backslash$mathrm$\{$~m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash )$

$($g$)$ Comment on the applicability of Manning's Equation