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



            18.7  Design of Aeration Systems                            entrained in the headworks and then dissolved in
                  Given                                                 the pipeline under high pressure)
                  Municipal waste from a city of population 20,000;  (f) Excess nitrogen gas is to be removed from water
                  BOD ¼ 300 mg=L raw influent. Assume 35% BOD            (e.g., after nitrification in biological treatment).
                  removal in primary sedimentation; 90% overall         [But is this necessary? Will the nitrogen essentially
                  removal.                                              remove itself? How?]
                  Required                                           Required
                  Design the aeration system for an activated sludge  Indicate the gas concentration profiles in the gas phase
                  design for a diffused aeration system. Consider for  and in the aqueous phase for each case. Recommend a
                  the diffused aeration system:                      pH for most complete removal or addition (as the case
                  (1) Size of tanks and number                       may be).
                  (2) Number, spacing, type and location of diffusers  Hint: Refer to Equation 18.24 and 18.27, Figure 18.5,
                  (3) Blower capacity                                and Appendix H.
                  (4) Power cost per day                       18.11 Estimating K L a from First Principles
                  (5) Estimate capital cost of complete system
                                                                     Given
            18.8  Design of Aeration Systems
                                                                     Assume conditions as given in Example 18.3, that
                  Set up a small laboratory vessel, about 10–100 L in
                                                                     is, an 18 L carboy with a carborundum diffuser
                  size, for a diffused aeration system rating, and deter-
                                                                     at the bottom, which gives off a small stream of
                  mine K L a(ST) for each of the following situations:
                                                                     air bubbles. To repeat further, Q (air) ¼ 42.5 L=h,
                                                                                                  0
                  (a) For the system, set up in a way which will be the
                                                                     p(atmosphere) ¼ 623  mmHg,     Dp(diffuser) ¼
                     standard of comparison
                                                                     80  mmHg    (gauge),  h(diffuser) ¼ 304  mmHg,
                  (b) For double the air flow rate
                                                                     T(water) ¼ 238C. Assume d(bubbles)   2mmand
                  (c) For half the volume (do this by partitioning down
                                                                     v w   0.5   v(bubbles).
                     the middle)
                                                                     Required
                  (d) For half the volume (do this by reducing depth of
                                                                     Calculate K L a from ‘‘first principles,’’ for example, by
                     water)
                                                                     Equation 18.45; let K L ¼ D=d. Compare with the value
                  (e) For 108C higher or lower temperatures
                                                                     calculated from experimental data in Example 18.3.
                  (f) For pure oxygen
                                                                     Determine a value for the film thickness, d, such
                  (g) For sewage instead of pure water
                                                                     that the K L a value calculated from first principles
            18.9  Rate Limiting Mechanism of Gas Transfer—Ammo-
                                                                     is the same as obtained from experimental data
                  nia Stripping
                                                                     (Example 18.3).
                  Given
                  Ammonia is to be stripped from a wastewater.       Hint: Set up a spreadsheet for solving for K L a as
                                                                     defined in Equation 18.45.
                  Required
                                                               18.12 Onda Correlations
                  (a) Indicate the gas concentration profiles in the gas
                     phase and in the aqueous phase.                 Given
                  (b) Recommend a pH for most complete removal.      A VOC, for example, chloroform, CHCl 3 (MW ¼
                                                                     119.39, density ¼ 1.489 g=mL at 208C) is to be
                  Hint: Refer to Equations 18.24 and 18.27, Figure 18.5,
                                                                     stripped from a water. The influent concentration is
                  and Appendix H.
                                                                     190 CCl 4 mg=L. The effluent concentration desired is
            18.10 Rate Limiting Mechanism of Gas Transfer—Stripping
                                                                     6 mg=L. Assume the packing material is Pall rings with
                 and Uptake                                                                       2  3
                                                                     specific surface area, a p ¼ 206.6 m =m packed vol-
                  Given
                                                                     ume; void fraction ¼ 0.90; nominal diameter, d p ¼ 25
                  The following situations:                                                        3       2
                                                                     mm; HLR(water) ¼ Q=A ¼ 0.0175 m water=m sec-
                  (a) Carbon dioxide is to be stripped from a water that                           3     2
                                                                     tion area=s; LR(air) ¼ Q =A ¼ 3.5 m air=m section
                                                                                         0
                     has accrued an excess
                                                                     area=s (most of the foregoing data was from Dvorak
                  (b) Carbon dioxide is to be added to a water (for pH
                                                                     et al. 1996, p. 947). Assume T ¼ 208C. (HLR is the
                     control in water treatment)                                                              3
                                                                     ‘‘hydraulic loading rate’’ defined as the flow in m =s
                  (c) Chlorine gas is to be added to a water (as a                               2
                                                                     divided by the cross-section area (m ) of a vessel; it’sa
                     disinfectant)
                                                                     ‘‘flux-density’’ of water. (2) LR(air) is the ‘‘loading-
                  (d) Ozone is to be added to a water (as an oxidant to
                                                                     rate’’. Similar to HLR; its a ‘‘flux-density’’ of air.
                     split organic molecules)
                  (e) Excess, that is, supersaturated, dissolved air is to  Required
                     be removed from a water coming through a pipe-  Determine the column height required. Set up a
                     line from a high mountain source (the air has been  spreadsheet so that other scenarios may be imposed.
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