A $10$m wide, rectangular, concrete$-$lined channel $($Manning coefficient, n $=0\mathrm{.}013)$ has a bottom

slope of $0\mathrm{.}001$ and a constant$-$level reservoir at the upstream end. The reservoir water level is

$6\mathrm{.}0$m above the channel bottom at entrance. Assuming the entrance loss coefficient k$=0\mathrm{.}01,$

determine the channel discharge.

The channel is connected to another long rectangular concrete channel of the same width and

friction but with a slope of $0\mathrm{.}01.$ The downstream channel ends at a free fall. Calculate the water

depths and sketch and name the surface profiles at important locations, from the entrance to the

free fall.