$1$ Objectives

$1.$ Design a rainfall simulator to create a rain with an average intensity of $\backslash (6\backslash$mathrm$\{$in$\}/\backslash$mathrm$\{$hr$\}\backslash )$ over a circular area $($radius $\backslash (=6\backslash$mathrm$\{$ft$\}\backslash )),$

$2.$ select your pump by determining the head and power needed for your system.

$2$ Materials

A $500-$gallon water tank, a pump $($efficiency $\backslash (\backslash$eta$=90\backslash \%\backslash )),4-$in suction pipe $($e $\backslash (=0\mathrm{.}0002\backslash )),3-$in discharge pipe $\backslash ((\backslash$mathrm$\{$e$\}=0\mathrm{.}0001\backslash )),$ and a nozzle $(0\mathrm{.}3$ in to $0\mathrm{.}6$ in$\backslash ()\backslash ),$ which should be $10$ ft above the water surface of the tank. Note that due to the space limit$,$ the pump should be $6$ ft away from the water tank. For safety reason, your pump should be at least $3$ ft away from the water covered circular area.

$3$ Requirements

$1.$ Please show your designed system

$2.$ Please show all design computations that must cover the following topics$/$equations:

$-$ Mass conservation $-$ continuity equation;

$-$ Energy conservation $-$ energy equation;

$-$ Power equation;

$-$ Efficiency equation;

$-$ Flow types $($laminar and turbulent flow$)$ and Reynolds number Re equation

$-$ Pipe$-$friction head loss $-$ Darcy $-$Weisbach equation;

$-$ and Minor losses