SHOW HOW TO DO TIME STEPS AND SOLVE WITH PEN PAPER

Two elevated tanks supply water to a demand node with a valve at its outlet

$($Figure $4).$ The elevated tanks are cylindrical and have diameters of $5m.$ The

initial water level in Tank $1$ is $96m$ and the initial water level in Tank $2$ is $89$

$m.$ The valve is half open and has a discharge coefficient of $0\mathrm{.}10\frac{m^{\frac{5}{2}}}{s}.$ The

initial steady$-$state flow through the valve is $300\frac{L}{s}.$ The valve discharges to

the atmosphere. Both pipes have a Hazen$-$Williams $\text{'}C\text{'}$ factor of $110,$ an

internal diameter of $250mm,$ and a length of $300m.$ Assuming quasi$-$steady

conditions in the aystem, dotormine the pressure head at the demand node

and the flow in the pipes in the first three time steps of the simulation. Use a

time step of $10$ seconds to carry out the quasi$-$steady state simulation.

$98-$Civ$-$A$5-$December $2015$

Figure $4.$ Water supply system.