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



               Solution                                             0.2 mm grit leaving the grit chamber). Assume the new
                                                          3
                                      3
               Flows:  Q(avg) ¼ 0.22  m =s,  Q(max) ¼ 0.66  m =s,   grit chamber must handle flows of about 15 mgd.
                               3
                                                                                          3
                                                                                                             3
               Q(min) ¼ 0.066 m =s. Table CDprob7.3 and Table       Flows: Q(avg) ¼ 0.22 m =s, Q(max) ¼ 0.66 m =s,
                                                                                  3
               CD7.7 contains the algorithm for calculation of the  Q(min) ¼ 0.066 m =s.
               Q(max) and Q(min) depths, H a (max) and H a (min), in
                                                                    Required
               the ‘‘a’’ and ‘‘b’’ sections, respectively. The ‘‘c’’ section
                                                                    Using the 1976 grit chamber performance and sizing
               shows the calculations for the parabolic cross section
                                                                    as a guide, determine a sizing for a new one, along
               and the v H values for different depths, ‘‘y,’’ and flows
                                                                    with determining airflow and compressor horsepower.
               (columns ‘‘a’’ and ‘‘b’’; as seen, the v H values calculated
                                                                    Using your spreadsheet, explore alternatives that
               are all about 0.31 m=s (1.0 ft=s). The formulae are given
                                                                    may be considered. Also determine Q(air) and
               at the bottom of the table. The plot of the parabolic cross
                                                                    P(compressor).
               section at the bottom of the table is linked to the table
                                                               7.9  Grit Quantity
               values of (x, y).
                                                                    Given
            7.4 Trapezoidal Grit Chamber with Parshall Flume                            3
                                                                    Flows: Q(avg) ¼ 0.22 m =s 5.0 mgd), Q(max) ¼ 0.66
               Control                                               3                             3
                                                                    m =s (15 mgd), and Q(min) ¼ 0.066 m =s (1.5 mgd).
               Given
                                    3
                                                      3
               Flows: Q(avg) ¼ 0.22 m =s, Q(max) ¼ 0.66 m =s, and   Required
                              3                                     Estimate the volume rate of grit to be expected at a
               Q(min) ¼ 0.066 m =s.
                                                                    WWTP in your locale for
               Required
                                                                    1. Daily dry weather flow.
               Design a trapezoidal section grit chamber with a Parshall
                                                                    2. Wet weather flow.
               flume as control, approximating this from the parabolic
                                                                    3. What size (volume) of container would you set
               section in Problem 7.3.
                                                                       below your grit conveyor belt and how frequently
            7.5 Aerated Grit Chamber—Rational
                                                                       would you expect to transport the grit to a disposal
               Given                                                   site?
                             3                3
                                                                    4. Determine the disposal site for the plant. What regu-
               Q(avg) ¼ 0.22 m =s, Q(max) ¼ 0.66 m =s, and Q(min) ¼
                      3
               0.066 m =s.                                             lations pertain?
               Required                                        7.10 Pressure, p 3 , at Compressor Outlet—For Aerated
               Design an aerated grit chamber using guidelines from  Grit Chamber
               Londong (1989).                                      This problem involves an extensive spreadsheet; in lieu
            7.6 Aerated Grit Chamber—Empirical                      of setting up the spreadsheet, an alternative is to review
                                                                    the problem in principle, referring to the spreadsheet
               Given
                              3                  3                  already developed.
               Q(avg) ¼ 0.22 m =s, Q(max) ¼ 0.66 m =s, Q(min) ¼
                      3
               0.066 m =s.                                          Given
                                                                                           3
               Required                                             1. Flows: Q(avg) ¼ 0.22 m =s (5.0 mgd), Q(max) ¼
                                                                                                          3
                                                                            3
                                                                       0.66 m =s (15 mgd), and Q(min) ¼ 0.066 m =s (1.5
               Design an aerated grit chamber using empirical guide-
                                                                       mgd).
               lines.
                                                                    2. Assumptions: Assume the distance equals 50 m
            7.7 Model to Estimate Performance
                                                                       (164 ft) between the compressor and the diffuser
               Given                                                   header pipe in the grit chamber. The pipe size should
                                    3                 3
               Flows: Q(avg)¼ 0.22 m =s, Q(max) ¼ 0.66 m =s, and       be a part of the spreadsheet so that you can examine
                              3
               Q(min)¼ 0.066 m =s.
                                                                       pipe losses for different pipe sizes. For sizing
               Required                                                the grit chamber, let q ¼ 20 min, with V(grit cham-
               Estimate by Equation 7.21 the difference in performance  ber) based on Q(max). For the cross-section, let
               of any grit chamber designed for the range of flow       width ¼ depth ¼ 5.0 m. Also, let Equation 7.24 be
               specified.                                               the means to estimate the air flow for the aerated
            7.8 Model  to  Estimate  Aerated   Grit  Chamber           grit chamber, that is, Q(air, coarse bubble) ¼
               Performance                                             [0.07 þ 0.76   ln(d)]  1.33 , where d is the depth of
               Given                                                   the diffuser header pipe below the water surface of
               The Fort Collins WWTP (1976 North Plant at Drake        the grit chamber; let d ¼ 3.50 m.
               Road and Cache La Poudre River) had (before a plant  Required
               expansion, c. 1991) an aerated grit chamber that was  1. Compressor outlet pressure: Set up a spreadsheet
               about 5 m wide   5 m deep   10 m long in dimensions     to determine pressure, p 3 , in outlet pipe from the
               for a flow of about 6 mgd. Performance is hypothetical,  compressor.
               but assume that C o   1000 mg=L for grit particles   2. Compressor power: Determine the power required
               about 0.2 mm in size and that C   100 mg=L (for         by the compressor for an adiabatic compression.
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