When talking about Conservation of Energy in class, the

example of Perth's water supply was used to illustrate the fact

that we have to allow for frictional losses over long sections of

pipe. Consider the case where a pipe that is smooth, $20$ km

long and $1$ m in diameter conveys water from the reservoir to

Perth $($and discharges into the atmosphere in a Perth water

treatment plant$).$

What flowrate between the reservoir and Perth would you

predict if you didn't allow for pipe friction? What flowrate would

you predict if you did allow for pipe friction?