A large elevated tank $($Tank $1)$ is being used to supply water at $60F$ to two

tanks at a lower elevation $($Tanks $2$ and $3)$ as shown in Figure P$4\mathrm{.}17.$ All pipes

are $5-$nom sch $40$ commercial steel and the globe valve is wide opened. The

straight lengths of the piping in Sections $AB,BC,$ and $BD$ are indicated in

the figure. The elevation of the free surface of the water in each tank is also

indicated in the figure. Pumps are used to maintain the water level in each

tank$.$

a$.$ Determine the volumetric flow rate $($gpm$)$ delivered to each lower tank

$($Tanks $2$ and $3)$ for the conditions shown.

b$.$ The globe valve is used in this application for flow control. Determine

the effect of closing the globe valve by constructing two plots; $(1)$ the

total volumetric flow from Tank $1,$ and $(2)$ the volumetric flow delivered

to each of the lower tanks $($Tanks $2$ and $3).$ Show each of these volume

flows as a function of the globe valve constant in the resistance coefficient

equation

$K_{\text{g}\text{l}\text{o}\text{b}\text{e}}=C{f}_T$

where C varies between $340($wide opened$)$ and $1000($partially closed$).$

$L_{AB}=70ft$

$L_{BC}=100ft$

$L_{BD}=80ft$