A find is pumped into the network of pipes shown in Figure. At steady state, the following flow balances must hold,
Q1 = Q2 + Q3
Q3 = Q4 + Q5
Q5 = Q6 + Q7
Where Qi = flow in pipe i [m3/s]. In addition, the pressure drops around the three right-hand loops must equal zero. The pressure you to compute the flow in every pipe length given that Q1 = 1 m3/s and Ï = 1.23 kg/m3. All the pipes have D = 500 mm and Æ’ = 0.005. The pipe lengths are: L3 = L5 = L8 = L9 = 2 m; L2 = L4 = L6 = 4 m; and L7 = 8m.