The water distribution network, shown in Figure 6, was studied by Basha & Kassab
ID: 1736090 • Letter: T
Question
The water distribution network, shown in Figure 6, was studied by Basha & Kassab (Journal of Applied Mathematical Modelling). Link number (m Junetion number n Figure 6: Hydraulic network They applied the energy equation twice loop. They also used the continuity principle thrice at the junctions. Finally, they developed a ssstem cuns that inked the pump head H, (feet) to the pump discharge Q (gpm) as follows: from reservoir A to B but using two distinct paths that went through the HP-150 + 0.00004 ? Your boss at the office gave you the following pump, described by its pump characteristic curve (see Table 1). The system curve is shown in red and the pump characteristic curve is shown in blue on diagrams (a), (b), (c) and (d) on the next pages Table 1: Pump characteristic curve for a single pump under consideration. Pump discharge Pump head He (ft) 100 90 50 Q (gpm) 400 800 1,000 (a) You are about to test graphically whether we can use a single pump to operate the system. To do so, examine diagram (a). Can we operate this system with one pump only? If so, estimate the pump flow Q and pump head H,Explanation / Answer
Part a) No, we cannot operate the system based on the Pump Characteristic Curve and the system curve shown in Figure a.
System Curve in a crude sense represents the demand of a system while the pump characteristics curve of a pump represents the supply. Operating point for a system is the intersection between the two curves.
In the figure a, as the pump characteristic curve (supply) lies below the system curve (demand) and there is no intersection between the two, the pump is not suitable to operate the system.
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