The water main shown in Figure 7.34 diverges at Point A and serves locations at Points B, C, and D. The lengths and diameters of the pipeline segments are tabulated in Figure 7.34, along with the...

The water main shown in Figure 7.34 diverges at Point A and serves locations at Points B, C, and D. The lengths and diameters of the pipeline segments are tabulated in Figure 7.34, along with the elevations of Points A, B, C, and D. All pipes are made of ductile iron with an estimated roughness height of 0.2 mm. Under normal operating conditions, the synoptic pressures at the key points in the system are tabulated in the figure. A 1.8-km-long, 150-mm-diameter ductile iron pipe is being considered for installation that will connect Points B and C. (a) Estimate the flows QB, QC, and QD for the existing system. (b) Estimate the flows QB, QC, and QD with the new pipeline connecting B to C in operation. Assume water at 20◦C. Do not assume that the flow is fully turbulent.