LO $2\mathrm{.}5$ Uniform open channel flow. Chezy and Manning velocity equations; normal and critical depths; specific energy and specific force; super$-$critical flow; the hydraulic jump

QUESTION $2\mathrm{.}5$

i$)$ A drainage channel of width $2m$ and length $200m$ with a slope of $0\mathrm{.}001$ lined with concrete with a Manning $n$ value of $0\mathrm{.}04,$ can it be filled safely to a depth of $1m.$ Calculate the maximum delivery.

ii$)$ Calculate the friction slope and from this deduce, whether the water level in the channel will fall, stay the same or rise with respect to the channel bed from the top to the bottom of the channel.

iii$)$ With a concrete lined artificial channel of constant width and slope. There are two reasons why the depth might eventually reach a constant value,