Problem $1$

A pressurized source $(100)$ supplies a total of $16f\frac{t^3}{sec(cfs)}$ in steel pipes $-$ water is delivered

to a power plant for cooling and to an oil refinery for process.

a$)$ Calculate flow rates $($cfs$)$ delivered to the power plant and to the oil refinery.

b$)$ Calculate pressure $($psi$)$ in the $18-$in diameter pipe $(f=0\mathrm{.}018)$ immediately before it divides

into the $12-$in diameter pipe $(f=0\mathrm{.}020)$ line and the dineter pin $(f=0\mathrm{.}025).$ The $12-$in

line contains a $90$ elbow $(K=0\mathrm{.}6),$ a flow meter $(K=1\mathrm{.}5)$ and a globe valve $(K=3\mathrm{.}0)$; the $4-$

in line contains a $90$ elbow $(K=0\mathrm{.}2),$ a flow meter $(K=0\mathrm{.}5)$ and a globe valve $(K=1\mathrm{.}0)-$

minor losses are calculated as sum of $K$ factors multiplied by velocity head.