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Disinfection                                                                                     635



                Equation 19.40, which should be modified to the steady-  ACKNOWLEDGMENTS
                state form, that is, DC=Dt ¼ 0 for left side. Also, the

                kinetic term, qX=qt, is replaced by the UV kinetic term,  Kevin Gertig, water resources and treatment operations
                                                               manager, City of Fort Collins, Colorado, has helped exten-
                Equation 19.34 in which I is constant along the length of
                                                               sively with this chapter, as with others, for example, in pro-
                the reactor and k is as determined in Section 19.3.7.4.3.
                                                               viding photographs and reference items from the FCWTP
                Table 15.10 illustrates the pattern of spreadsheet set-up.
                                                               library, and in various discussions and site visits related to
            19.6 Application of a Mathematical Model for UV
                                                               the functioning of facilities.
                Reactor
                                                                  Dr. James Malley, University of New Hampshire, gra-
                Given
                                                               ciously provided his powerpoint presentation for a 2002
                Let Cryptosporidium parvum oocysts be the target
                                                               AWWA (Rocky Mountain Section)-sponsored UV Workshop
                microorganism for a UV reactor for a municipal was-
                                                               in Denver, Colorado, which was consulted and cited to clarify
                tewater. Assume that 4-log inactivation is required.
                                                               and amplify various issues on UV disinfection.
                For  calculation  purposes,  assume  N o ¼ 10,000
                                                                  Dr. Dean Gregory, director of environmental technologies,
                oocysts=L (a typical concentrations of Cryptosporid-
                                                               CDG Environmental, LLC, Denver office, reviewed Section
                ium oocysts is N o   200 oocysts=L). Let Q ¼ 0.88  19.3.8 on chlorine dioxide and added considerable knowledge
                  3
                m =s(10 mgd),   v ¼ 0.5 m=s, and assume the reactor
                                                               on the topic pertinent to practice.
                length, Z o ¼ 3.0 m, and assume D=  v ¼ 1.4 cm (or
                0.014m). AweiroraParshall flume is used to
                maintain a minimum depth (so that the UV lamps  GLOSSARY
                are always covered with water).
                                                               Absorbance: Defined as, A ¼ ln(I o =I), where I o is the incident
                Required                                              radiation, and I is the radiation at any given distance
                Determine the concentration profile based on Equation  from the occurrence of the incident radiation. See
                19.56 in finite difference form, using a spreadsheet for  also Transmittance.
                the profile calculations. Determine the required average  Actinometry: A photochemical reaction, for which the quan-
                in UV intensity in the reactor such that the 4-log inacti-  tum yield, is known; thus, the measurement of the
                vation occurs by the end of the reactor.              chemical yield after exposure to light allows the
            19.7 Estimating Effect of Dispersion                      determination of the photon flow (Bolton, 2001,
                Given                                                 p. 19).
                Let Cryptosporidium parvum oocysts be the target  Available chlorine: White (1999, pp. 221–223), considers
                microorganism for a UV reactor for a municipal waste-  this term a misnomer and that it ‘‘has no place in
                water. For calculation purposes, assume N o ¼ 10,000  the field of water and waste treatment.’’ Its origin
                oocysts=L (a typical concentrations of Cryptosporidium  according to White had to do with the idea of
                                                          3
                oocysts is N o   200 oocysts=L). Let Q ¼ 0.88 m =s    comparing the bleaching or disinfecting power
                (10 mgd),   v ¼ 0.5 m=s, and assume the reactor length,  of different chlorine compounds as measured by
                Z o ¼ 3.0 m, and assume D=  v ¼ 1.4 cm (or 0.014 m).  the starch-iodide test (the iodometric method) in
                A weir or a Parshall flume is used to maintain a min-  which iodine is liberated.
                imum depth (so that the UV lamps are always covered  Breakpoint  chlorination: Satisfaction  of  the  reaction
                with water).                                          demand for HOCl as an oxidant by reducing sub-
                                                                      stances, for example, HS ,SO 3 ,NO ,Fe ,
                                                                                                  2
                                                                                                        2
                                                                                                              2þ
                Required
                                                                      ammonia, and organic compounds. Upon satisfac-
                (a) Calculate the dispersion profile for a frontal wave of
                                                                      tion of this demand, the ‘‘free chlorine’’ is available
                salt moving through the reactor (b) Calculate the disper-
                                                                      for disinfection.
                sion profile for a pulse wave of salt moving through the
                                                               Bromine: (1) A halogen element that reacts with water to
                reactor. (c) Estimate the Ct for the 10% of flow, u(10)
                                                                      form HOBr and OBr . Discovered in 1827 and

                that has moved through the reactor first. Estimate the
                                                                      named after the French word brome. (2) Nonmetallic
                associated concentration of oocysts, N that remain
                                                                      halogen element that is isolated as a deep red
                viable as they leave the reactor in the first 10% of
                                                                      corrosive toxic volatile liquid of disagreeable odor
                flow. Compare the finite difference solution with the
                                                                      (http:==www.merriam-webster.com=). MW ¼ 79.904
                mathematical solution.
                                                                      g=mol. Disinfection properties are similar to
                Hint: Let [qN=qt] r ¼ 0, such that Equation 19.56
                                                                      chlorine except that bromine is effective as HOBr
                becomes  the  same  as  Equation  4.5,  that  is,     at pH < 8.5 (as compared with pH < 7.5 for chlor-
                                  2
                 qN        qN    q N                                  ine); bromine also reacts with ammonia in a
                      ¼   v   þ D    . This expression can be set
                  qt       qZ    qZ 2                                 sequence of reactions similar to chlorine, that is,
                     o
                up in a finite difference form and solved by a         forming bromamines.
                spreadsheet algorithm. The mathematical solution is  Calcium hypochlorite: Ca(OCl) 2 is a white granular
                seen in Equation 4.6.                                 powder with 70% ‘‘available chlorine.’’ ‘‘Available
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