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450                            Fundamentals of Water Treatment Unit Processes: Physical, Chemical, and Biological



            diatomite, and did an economic comparison. The diatomite  How much diatomite should be on hand at any given
            pilot plant produced effluent turbidities 0.20–0.28 NTU with  time, for example, just prior to a delivery?
            raw-water turbidity generally <0.8 NTU using Hyflo Super-  14.4 Calibration of Baumann et al. Equation
            Cel and body-feed concentration 20 mg=L giving run length  Given
            of 80 h at terminal pressure 276 kPa (40 psi). Calculation  Initial headloss data and the rate of headloss increase
            gives the rate of headloss increase as 3.45 kPa=h (0.5 psi=h).  data from pilot plant experiments are given in tabular
            Based on the projected 2002 peak-day demand, the required  form in the tabular data that follow for four grades of
                               3   3
            septum area ¼ 6.67   10  m =day=24 h=day=(2.44 m=h) ¼  diatomite (Nolte, 1997b,c). The dry densities and per-
                 2        2
            114 m (1226 ft ). The estimated annual cost of electric  meabilities of each grade are given in Table 14.1 (the
            energy for 1992 was $5100, based on 275 kPa (40 psi)   permeabilities in ‘‘Darcys’’ are converted to ‘‘m ’’ in
                                                                                                            2
            terminal pressure and pumping power of 15 kW (20 hp). The  Table CD14.2). The septa were 60 mesh ‘‘candles’’
            1992 projected use of diatomite was 31,000 kg (68,000 lb)  28.58 mm (1–1=8 in.)   895 mm (35 in.) long as used
            with cost $15,320 (at the 1983 price of $49=kg or $0.22=lb).  in a pilot plant.
                                                3
                                       3
            Based on a density of 1440 kg=m (90 lb=ft ), the estimated
                                                           3
                                                    3
            annual volume of diatomite waste was about 21 m (27 yd );
                                                                                  Nolte Data (kPa)  Nolte Data (kPa=h)
            the cost of landfill disposal was estimated as $417. While the
            unit costs of water production (i.e., operating costs and amort-  C-512    6.9            8.3
            ized capital cost) were comparable for all three technologies,  Hyflo Super-Cel  4.8       7.6
                                                                      C-503            3.5            6.9
            the technology selected was slow sand based largely on the fact
                                                                      C-545            3.4            9.0
            that it was a ‘‘passive’’ technology and appropriate for the
            situation (see Section 13.1.1.4).
                                                                   Required
            PROBLEMS                                               Try to ‘‘calibrate’’ the Baumann et al. equation using the
                                                                   Nolte data on the initial headloss and the rate of headloss
            14.1 Support for Septum
                                                                   increase.
                Given                                          14.5 Volume of Body-Feed Tank
                Assume that the pressure differential between the two
                                                                   Given
                sides of the filter cake is 280 kPa (40 psi). Assume that                      3
                                                                   Let the Q(raw water) ¼ 0.044 m =s (1.00 mgd) and let
                the system consists of a pressurized tank with leaf septa
                                                                   C(body feed) ¼ 25 mg=L. The duration of time, t(tank),
                1000 mm (40 in.) diameter.
                                                                   for the volume of the tank slurry to last is to match
                Required                                           the length of run for the filter, which is about 48 h,
                Calculate the force on one side of the leaf septum. Also  typically.
                depict, by means of a diagram, the pressure profile.
                                                                   Required
                Comment on the likelihood of flex in the septum as the
                                                                   Estimate the size of body-feed tank.
                pressure differential increases.
                                                               14.6 Storage of Waste Diatomite
            14.2 Footprint for the NYC Demonstration Plant
                                                                   Given
                Given                                                        3
                                                                   A 37,850 m =day (10 mgd) diatomite plant has a body
                The demonstration plant at Jerome Park operated to filter
                                                                   feed of 25 mg=L.
                the Croton water supply for New York was sized to filter
                                                           2
                11.4 mL=day (3 mgd) at HLR ¼ 6.1 m=h (2.5 gpm=ft )  Required
                (see Section 14.1.4.2).                            (a) Design a storage area for the waste diatomite.
                                                                   (b) Determine the options for the disposal of waste
                Required
                                                                       diatomite in your area. Indicate regulations that
                Design a layout for a horizontal tank with leaf septa with
                                                                       may facilitate or limit the disposal options.
                surfaces in the vertical plane.
            14.3 Logistics of Diatomite
                                                               ACKNOWLEDGMENTS
                Given
                A 3.785 mL=day (1.0 mgd) diatomite filtration plant at  Brian Walker, principal and owner, Dayton & Knight, Ltd.,
                Georgetown, Colorado takes water from an adjacent  Vancouver, British Columbia, gave permission (2002) to use
                mountain creek. The body-feed rate of diatomite is  material from their 1983 report; permission was renewed
                40 mg=L.                                       (2010) by Jack Lee, PEng, vice president, Operations, Dayton
                Required                                       & Knight. Jack Bryck, then with Dayton & Knight, presently
                Estimate the monthly mass requirement of diatomite in  (2010) with Malcolm Pirnie, was the engineer on site.
                terms of kg=month, and number of 22.7 kg (50 lb)  The survey data that comprise Table CD14.5 were
                bags=month. About how much storage is needed for a  obtained from a 1997 report by Nolte and Associates, Inc.,
                month’s supply of diatomite. Should the storage be  Sacremanto, California, and was used by permission (2002,
                larger to reduce the number of deliveries per year?  and renewed in 2010). Their client was the City of Vacaville
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