Reconsider the pipeline in Problem 3, but now with a pump
installed in Pipe 3 in order to lift water from the lower reservoir
to the upper reservoir. Three points on the pump characteristic
curve are provided in the table below. Derive the equation defining
the pump characteristic curve, and compute the discharge in the
pipeline (m3/s).
Consider a pipeline consisting of three pipes in series connecting
two reservoirs as shown below. Data for the three pipes, and
elevations of the junction nodes, and water surface elevations in
the reservoirs are provided in the tables below. Assume a friction
factor of 0.02 for each pipe. Compute the discharge in the pipeline
(m3/s) and the pressure at each pipe junction (kPa).
Pipe 
Length (m) 
Diameter (cm) 
1 
2,000 
45 
2 
4,000 
35 
3 
2,500 
45 
Node 
Elevation (m) 
WSEL_{A}

320 
ELEV_{1}

290 
ELEV_{2}

280 
WSEL_{B}

288 
E_{p} (m) 
Q (m^{3}/s) 
80 
0 
70 
0.3 
45 
0.6 