CE $442$ Homework No$.8$

Spring $2024$

The Eastern NM Rural Water System, known as the Ute Pipeline, is a proposed project to pump $16,450$ AF$/$yr from Ute Lake south & east to provide water for Clovis, Portales & points south $($see map$).$ The first step involves pumping the water from Ute Reservoir $($elevation $3600ft)$ up over the top of the caprock $($elevation $4,500ft)$ through a $17\mathrm{.}5$ mile pipeline. From there it will flow by gravity to a treatment plant and then to points south. Answer the following.

a$.$ Assuming water is available only $8$ months of the year, calculate the flow in cfs $($i$.$e$.16,450$ AF$/8$ months$).$

b$.$ To limit head losses the maximum allowable velocity is $5f\frac{t}{s}.$ Calculate the necessary pipe diameter, then round up to the nearest $0\mathrm{.}5ft$ to get the pipe to be used in the rest of the problem.

c$.$ Assuming ductile iron pipe calculate the head losses to the top of caprock.

d$.$ Calculate pump head $($ft$)$

e$.$ Calculate hydraulic power in units of hp and KW$.$

f$.$ Assuming a pump that is $85\%$ efficient calculate the motor horsepower in units of $hp$ and $KW.$

g$.$ Assuming an average electric power cost of $$\frac{0\mathrm{.}07}{K}Whr$ calculate the annual electric power cost to pump the water to the top of the caprock.

h$.$ Assuming the average household uses $6,500$ gal$/$month$,$ what would be the monthly household water bill just to pay for pumping costs?

The flow and chlorine concentrations at a pipe junction are shown. Calculate $Q_4$ and the chlorine concentrations in pipes $3$ and $4$ leaving the node.

A venturi meter has a pipe diameter of $6$ in and a throat diameter of $4in.$ Use the discharge coefficient as plotted in RCC Figure $5-21($page $71$ of my notes$)$ to calculate a rating curve consisting of a plot of $\frac{?}{{?}_{\frac{?}{?}}P}($psi$)vvQQ($cfs$)$ for flows from $0$ to $3cfs.$