$1.$ Given: $1,770$ gpm $($gallons of water per minute$)$ flow through a level, $500-$yard$-$long, $10-$inch diameter cast iron

pipe to a large industrial site. The pipe flows full. Pressure at the upstream end of the pipe is $59$ psi

$($pounds per square inch$).$

Find: a$)(1$ pt$.)$ Develop an equation that will be used in Parts b$)$ and c$)$ of this problem to calculate

downstream pressure: Sketch the pipe, add known information. Show the energy balance equation from

Presentation $3-2($last slide$)$ and apply it to the upstream and downstream ends of the pipe. Keep the

equation in variable form and show all variables. Solve the equation for P$2($downstream pressure$).$ All

terms $($variables$)$ from the initial equation should appear in the final equation $($all you are doing is

rearranging the energy equation$).$

b$)(2$ pt$.)$ Calculate Downstream Pressure, ignore minor losses: Calculate

the downstream water pressure at the industry. Use the Hazen$-$Williams

formula from Pres. $3-3$ to calculate headloss created by friction and

turbulence as water moves through the pipe barrel. Use a CHW value of $130.$ Note that it is not

necessary to calculate velocity $($can you see why?$).$ Be sure that units are shown in the calculation

because unit conversion is required.

c$)(2$ pt$.)$ Consider Effect of Local $($or $$Minor$)$ Losses: Repeat Step b$),$ but account for headloss created

by turbulence as water flows through valves and fittings $($in addition to headloss from the pipe wall$).$

Assume that on this segment of pipe there are nine $90$ degree smooth bends $($bend radius$/$D $=2),$ one

gate valve that is open, and one check valve $($conventional$).$ Use Table $2\mathrm{.}6$ in PowerPoint $3-4$ to obtain

minor loss coefficient values.