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                                                                                                                  Problems/Questions
                                    PROBLEMS/QUESTIONS
                                                                                      ing data are given:
                                         An elevated water reservoir (water level at 210 m) is to supply
                                    6.1
                                    a lower groundwater reservoir (water level at 138 m). The reservoirs
                                    are connected by 800 m of 400 mm ductile cast pipe (C = 100) and
                                                                                                          d (mm)
                                                                                                    Pipe
                                                                                                                   L (m)
                                    1200 m of 300 mm ductile cast-iron pipe (C = 100) in series.
                                    (a) What will be the discharge delivered from the upper reservoir
                                                                                                                    1,200
                                                                                                    AB
                                                                                                            300
                                       to the lower one?
                                                                                                            300
                                                                                                    BD
                                                                                                                     300
                                                                                                            200
                                                                                                    AC
                                                                                                                     300
                                    (b) If the water demand increases by 50% in the future, determine
                                                                                                    CD
                                                                                                                    1,200
                                                                                                            200
                                       the required size of pipe that has to be installed in parallel with
                                                                                                    SA
                                                                                                                   10,000
                                                                                                            d
                                       the existing piping.
                                                                                                             SA
                                         The following data are given for the water supply network
                                    6.2
                                    shown in Fig. 6.20:                               6.4  For the water supply network shown in Fig. 6.21, the follow-
                                                                                       Elevation   655 m
                                                  Pipe   d (in.)  L (ft)
                                                  AB       8      2,500                          S
                                                  BC       8       500
                                                  AD       8       500
                                                  DC      12      2,500
                                                                                                         A                   B
                                       The elevation of point A is 100 ft and of point B is 90 ft. The
                                    C value for all pipes is 100. Find the following:
                                                                                                         C                  D
                                    (a) The length of a single 18 in. pipe that can replace the water
                                                                                                                                60 L/s
                                       network from A to C.
                                    (b) The residual pressure at point C, given that the flow through the  Figure 6.21 Water network for Problem 6.4.
                                       network is 4,000 gpm and the pressure at point A is 40 psi.
                                                                                          Elevation of loop ABCD is 600 m and the value of C for all
                                     In
                                          A                                B          pipes = 100.
                                                                                          Determine the needed diameter of main SA so that the residual
                                                                                      pressure at any point in the network ABCD does not drop below
                                                                                      250 kPa.
                                                                                      6.5  Potable water is supplied to a city via an 800 mm transmission
                                                                                      line at a flow rate of 550 L/s (see Fig. 6.22). A pressure gauge located
                                                                                      500 m upstream from point A registers 6.5 bars at normal operation.
                                          D                                C    Out   The following data are given:
                                       Figure 6.20 Water network for Problems 6.2 and 6.3.
                                    6.3  The following data are given for the water supply network  Pipe    d (mm)  L (m)
                                    shown in Fig. 6.20:
                                                                                                    PA       800     500
                                                                                                    AmnB     500    1,500
                                                  Pipe   d (mm)   L (m)                             AxyB     300     200
                                                                                                    BC       800      —
                                                  AB      200      800
                                                  BC      200      200
                                                  AD      200      200
                                                  DC      300      800
                                                                                          All pipes are made of the same material with a Hazen–Williams
                                                                                      coefficient C = 100. The elevations of points P, A, and B are 650,
                                       The elevation of point A is 600 m and of point B is 590 m. The  660, and 635 m, respectively.
                                    C value for all pipes is 100. Find the following:  (a) Determine the length of an equivalent 500 mm single pipe
                                    (a) The length of a single 400 mm pipe that can replace the water  between points A and B.
                                       network from A to C.                           (b) Determine the actual flows in the two branches AmnB and
                                    (b) The residual pressure at point C, given that the flow through the  AxyB.
                                       network is 250 L/s and the pressure at A is 300 kPa.  (c) Find the residual pressures at both points A and B.
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