Three Pumps in Parallel Problem Statement A pump station is designed to supply water to a

small linen factory. The factory, at an elevation of $58\mathrm{.}0$ meters, draws from a circular, constant$-$

area tank at a base elevation of $90\mathrm{.}0$ meters with a minimum water elevation of $99\mathrm{.}0$ meters, an

initial water elevation of $105\mathrm{.}5$ meters, a maximum water elevation of $106\mathrm{.}5$ meters, and a

diameter of $10\mathrm{.}0$ meters. Three main parallel pumps draw water from a source with a water

surface elevation of $58\mathrm{.}0$ meters. Two pumps are set aside for everyday usage, and the third is

set aside for emergencies. Each pump has a set of controls that ensure it will run only when the

water level in the tank reaches a certain level. Use the Hazen$-$Williams equation to determine

friction losses in the system. The network layout is given in Figure; the pump and pipe data are

given in the tables below.

a$)$ Can the pumping station support the factory's $20\frac{l}{s}$ demand for a $24-$hour period?

b$)$ If there were a fire at the factory that required an additional $108\frac{l}{s}$ of water for hours $0$

through $6,$ would the system with the pump controls given in the problem statement be

adequate? Supply the Extended Period Simulation report describing the system at each time

step.

c$)$ How might the system be operated so that the fire flow requirement in part $($b$)$ is met?

Pipe Information for Tutorial Problem

Pump Information for Tutorial Problem