Textbook $5\mathrm{.}2\mathrm{.}2$

$5\mathrm{.}2\mathrm{.}2$ Rework example $5\mathrm{.}2\mathrm{.}3$ for a $30-$cm high hump and a side wall constriction that reduces the channel width to $1\mathrm{.}6m.$

EXAMPLE $5\mathrm{.}2\mathrm{.}3$

A rectangular channel $2m$ wide has a flow of $2\mathrm{.}4\frac{m^3}{s}$ at a depth of $1\mathrm{.}0m.$ Determine whether critical depth occurs at $($a$)$ a section where a hump of $z=20cm$ high is installed across the channel bed, $($b$)$ a side wall constriction $($with no humps$)$ reducing the channel width to $1\mathrm{.}7m,$ and $($c$)$ both the hump and side wall constrictions combined. Neglect headlosses of the hump and constriction caused by friction, expansion, and contraction.