Example $5\mathrm{.}3$

Consider the pump$-$pipeline system shown in Figure $5\mathrm{.}9.$ The reservoir water surface elevations are known:

$E_A=100ft$ and $E_B=220ft.$ The $2\mathrm{.}0-$ f $-$diameter pipe connecting the two reservoirs has a length of

$12\mathrm{.}800$ ft $.$ and a Hazen$-$Williams coefficient $(C_{HW})$ of $100.$

$($a$)$ The pump characteristics are known $($columns $1$ and $2$ in the following table$)$ and are plotted in

Figure $5\mathrm{.}10($a$).$ Determine the discharge in the pipeline, the velocity of flow, and the energy

grade line.

$($b$)$ Suppose the pump characteristics given in part $($a$)$ are at a rotational speed of $2\mathrm{.}000$ rpm $.$

Determine the discharge in the pipeline and the pump head if the pump runs at $2,200rpm.$