I need an accurate solution with briefly descripition.

a$.$ Design a screen that is to be placed in a rectangular channel which transports water

from an intake to a water treatment plant. Please use the following data to

calculate:

$($i$)$ The coefficient of efficiency of the screen

$($ii$)$ Velocity in the channel upstream of the screen

$($iii$)$Actual velocity through the screen when the screen is $clea{n}_{{?}_{?}}$

$($iv$)$The head loss through the screen when the screen is clean and $50\%$ clogged

$($v$)$ Depth of flow, $y_2$ in the channel downstream of the screen

The following formula can be used to calculate the head loss, $h_h$ through the screen:

where $V_{\text{s}\text{c}\text{r}\text{e}\text{e}\text{n}}$ is the velocity through the screen and $V_{\text{u}\text{p}\text{s}\text{t}\text{r}\text{e}\text{a}\text{m}}$ is the velocity in the channel upstream of the screen.