Problem $1$

Figure P$4.15$ shows a pump and pipe network being used to transport heptane

at $90F$ to a large, elevated storage tank that is closed, but vented to ensure that

the pressure above the heptane is atmospheric. The volumetric flow rate of the

heptane is $500$ gpm $.$

a$.$ Determine the pressure drop $($psi$)$ that the pump must overcome to move

the heptane through the discharge pipe.

b$.$ Investigate the effect of the absolute roughness of the pipe. Construct a

plot that shows the variation in pressure drop as a function of the absolute

roughness for values ranging from $0$ to $0\mathrm{.}01$ ft $.$