Given:

A process pump is used to keep a discharge tank completely full. The relevant parts of the system are shown in the figure. It is estimated that a minimum of $20$ gpm of flow is required to keep the tank full to the overflow discharge line.

Characteristics: $-$ The fluid is water at an average temperature of $120F$

The suction tank fluid level may vary approximately $5$ feet from the MIN to MAX fluid height.

The elevation change from the MAX fluid height to the process pump is $35$ feet.

The elevation change from the MAX fluid height to the highest piping point $($labelled $"3")$ is $50$ feet.

The elevation change from the discharge point $($labelled $"4")$ to the highest piping point is $5$ feet.

The elevation change from the discharge tank fluid level to the discharge point is $3$ feet.

The elevation of the return line exit and the MAX fluid height are the same.

The suction line has a pipe length of $55$ feet and the shown number of elbows

Pipe length of the discharge line is $45$ feet and the shown number of elbows

Pipe length of the return line is $35$ feet and the shown number of elbows

The open$-$air suction and discharge tank volumes are $100,000$ liters and $50,000$ liters, respectively

All pipe entrances and exits are sharp

All pipes are $3-$inch standard schedule $40$ galvanized steel pipe

All elbow K$-$values are considered to be $1\mathrm{.}4$

The performance of process pump at $1750$ rpm used is shown in the figure.

Find: $,1.$ Determine the system resistance curve of the pump$/$piping system under steady$-$state conditions.

$2.$ Rewrite the expression in $(1)$ when $Q$ is given in $[$gpm$].$

$3.$ Specify a pump for purchase that offers excellent performance. Include the manufacturer, model, speed, impeller size, inlet and discharge port sizes.

$4.$ Print the pump performance curve and plot the SRC on the PPC over a wide range of flowrates.

$5.$ Determine the actual operating point in terms of flowrate in units of $[$gpm$],$ head in units of $[$ft$],$ and pump efficiency $[\%].$

$6.$ Determine NPSHa

$7.$ Determine NPSHr

$8.$ Is the pump expected to cavitate?

Discharge

Suction Tank