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



            8.16 Sizing a System by Table of Equipment Sizes          ment, Orlando, Florida, April, 1994. The term
                Reference is Section 8.4.4 and Tables 8.6 and 8.4.    ‘‘contact zone’’ was favored over ‘‘reaction zone’’
                Given                                                 at the conference; the definitions are the same.
                                  3
                Assume Q ¼ 0.044 m =s (1.0 mgd).               DAF: Acronym for dissolved air flotation.
                                                               Detention time: Defined as the volume of a basin divided by
                Required
                                                                      flow, i.e., u ¼ V=Q.
                Select a package plant for the flow given.
                                                               Diffuser: A device with many small orifices for flow of a
                                                                      fluid for the purpose of mixing with another fluid.
            ACKNOWLEDGMENTS                                    Diffusion: Transport of material by random motion, such as
                                                                      molecular diffusion caused by the thermal motion of
            The photographs in Figure 8.13 were taken by the author
                                                                      molecules. Turbulent diffusion is due to the random
            and used by permission from the late Paul Grundeman, super-
                                                                      motion of turbulence.
            visor, Marcy Gulch Wastewater Treatment Plant, Highlands
                                                               Dissolved air flotation: Flotation process in which the air
            Ranch, Colorado. Dr. John Hendrick, General Manager of the
                                                                      bubble source is dissolved air that ‘‘precipitates’’ in
            district gave permission to use the photographs taken at the
                                                                      a zone of lower pressure where contacts are made
            plant for this book (2010).
                                                                      with the solid particles.
                                                               Film thickness: For any motion of a fluid across a surface, a
            GLOSSARY                                                  velocity gradient exists with zero at the surface to a
                                                                      finite value in the bulk of flow; the distance is called
            Air: A mixture of gases; nitrogen and oxygen comprise
                                                                      the ‘‘boundary layer.’’ If such a fluid motion exists
                   0.9903 mole fraction of air. The other gases are Ar,
                                                                      across a concentration gradient, say in water, then
                   CO 2 , Ne, He, Kr, Xe, CH 3 , and H 2 ,O 3 , and Rn.
                                                                      the distance from the gas–water interface where the
                   Adding the mole fractions of argon and carbon diox-
                                                                      concentration could be say that in equilibrium with a
                   ide to those of oxygen and nitrogen give 0.9999971.
                                                                      gas, to a point in the bulk of the solution where the
                   The molecular weights and mole fractions are given
                                                                      concentration gradient has become near zero is
                   along with Henry’s constants, where available.
                                                                      called the ‘‘film thickness.’’
                                                               Float layer: The collected air–solid-particle agglomerates
                                                                      that have risen to the water surface.
                       N 2     O 2    Ar     CO 2     Ne
                                                               Flotation: Unit process in which air bubbles are brought into
              MW    28.0134  31.9988  39.948  44.0098  20.1797        contact with solid particles to cause the latter to
              X(gas)  0.78084  0.209476  0.00934  3.14   10  4  1.818   10  5  become buoyant and rise to the surface, where they
              H(208C) 19.01  43.39         1688                       are skimmed by blades into a collection trough. The
                       He      Kr     Xe     CH 3     H 2             solid particles may be pretreated by means of coagu-
                                                                      lation and flocculation to form a floc.
              MW    4.0026  83.80   131.29  16.0428  2.01588   Gas precipitation: Formation of gas bubbles due to gas
              X(gas)  5.24   10  6  1.14   10  6  8.7   10  8  2   10  6  5   10  7
                                                                      concentration in water exceeding the equilib-
              H(208C)                      23.18   1.603
                                                                      rium concentration for the local pressure of the
              Notes: (1) Data from Table H.1. (2) H(208C) is Henry’s constant at  bubbles.
                    208C with units (mg gas i=L water=atm gas i).  Gas saturation: Concentration of gas, species i, in water
                                                                      that is in equilibrium with the partial pressure of
                                                                      gas i in the gas phase across a common gas–water
            Attachment: Bonding of one particle to another by an adhe-  interface.
                   sion force. For two particles that have opposite  Henry’s constant: An equilibrium constant defined here as
                   charges, e.g., a negatively charged bubble and a   the ratio of concentration of gas i dissolved in water
                   positively charged floc particle (i.e., after coagula-  to the partial pressure of i in the gas phase. Magni-
                   tion), the force is electrostatic. For particles without  tude depends upon the units for aqueous phase con-
                   charge, bonding is by van der Waal’s force.        centration and gas pressure. Also, some definitions
            Attachment coefficient, a: Ratio of particle–bubble attach-  are the reciprocal of others.
                   ments to particle–bubble contacts.          Henry’s law: Concentration of gas species i in water is pro-
            Bifurcation: Division of a fluid flow.                      portional to partial pressure of i in the gas phase. See
            Contact zone: Zone in flotation basin just after bubble for-  also Appendix H.
                   mation and as the particle stream enters in the flow  Hydraulic grade line (HGL): Locus of points of pressure
                   Q to provide the opportunity for bubble–particle   head (in meters), i.e., pressure divided by specific
                   contacts. The term ‘‘contact zone’’ was adopted by  weight of water (r w g).
                   a consensus of persons discussing the terminology at  Interfacial area: Surface area of air–water interface.
                   the 1994 International Joint Specialized Conference  K L a: Mass-transfer coefficient that says the rate of transfer
                   on Flotation Processes in Water and Sludge Treat-  of a gas between phases is proportional to the
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