Two reservoirs are connected by two pipelines. The difference in the

elevation of the water surface between the upper and lower reservoir is

constant at $150m.$ Pipeline $1$ and $2$ have diameters of $1\mathrm{.}2m$ and $0\mathrm{.}9m$

respectively. Both pipelines are $43km$ long and have a roughness factor

$=0\mathrm{.}04.$ Since the pipelines are long, assume that friction losses will

dominate and that minor losses can be ignored. Calculate the discharge

through each pipe.

the reservoir water surfaces are assumed to remain constant

the flow in each pipeline is assumed unaffected by the flow in the other

the pipes do not necessarily have to be parallel