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Rapid Filtration                                                                                 391



            Steady state: Influent flow and water quality are not changing  van der Waals force: About 1875, van der Waals postulated
                   with time. The term may refer to characteristics of the  the presence of intermolecular forces to explain the
                   filtration process, as well, such as the ‘‘steady state’’  fact that the behavior of real gases deviated from the
                   portion of the C(t)  curve, or that the shape of the  ideal gas law at high pressures. Three types of inter-
                                 Z¼Z o
                   C(Z) t curve has attained a ‘‘steady state’’ shape. The  molecular forces were postulated by others: (1) orien-
                   sense of the term is that a phenomenon or character-  tation effects due to two molecules having permanent
                   istic does not change with time.                   dipole moments, (2) induction effect due to one
            Stochastic: The random occurrence of the magnitude of a   molecule having a permanent dipole moment inducing
                   variable would be considered as ‘‘stochastic.’’ A  a dipole in a neighboring molecule and (3) dispersion
                   ‘‘random variable’’ in a statistical sense has the char-  effect due not to a permanent dipole of either molecule
                   acteristic of being ‘‘stochastic.’’ The occurrence of  but to fluctuating dipoles due to the random motion of
                   Giardia lamblia cysts in a river, as detected by sam-  electrons within a molecule. The van der Waals forces
                   pling, is ‘‘random,’’ and thus is ‘‘stochastic.’’ The  are likely to be the major cause of attraction and bond-
                   opposite of stochastic is ‘‘deterministic.’’       ing between say a destabilized floc particle and a
            Straining: A particle in suspension that is larger than the  mineral filter grain, or a floc coated mineral grain
                   interstitial pores of a medium is removed by strain-  (Adapted from Myers, 1941, pp. 41–67).
                   ing. As d(particle)=d(pore) ! 1, interception  Wave front: The concentration versus distance profile at any
                   becomes straining, which is the limiting condition  given time, that is, C(z) t . The concentration may be
                   of interception (Ives, 1975b, p. 194).             any parameter; usually turbidity or particle counts
            Streaming potential: The potential established when a solu-  would be measured. See also, ‘‘clogging front.’’
                   tion is forced through a porous plug (or tube) of  Zeta potential: The potential at the boundary between the
                   material which acquires a charge in contact with   fixed and mobile phases of the double layer associ-
                   the solution (Gregory, 1975, p. 65).               ated with a colloid particle, that is, at the ‘‘slipping
            Subfluidization: Backwash velocity, v, in which v   v mf ,in  plane,’’ which is just outside the Stern layer
                   which v mf is the minimum velocity for incipient   (Gregory, 1975, p. 65).
                   fluidization.
            Surface wash: An adjunct to backwash. High pressure jets
                   with nozzles about 25 mm (1 in.) above the media
                                                               REFERENCES
                   are directed into the media before the backwash and
                   during the backwash as the bed expands.     Adin, A. and Rebhun, M., A model to predict concentration and
            Technology: (1) The scientific study of mechanical arts and  headloss profiles, Journal of the American Water Works Asso-
                                                                    ciation, 69(8):444–453, August 1977.
                   applied sciences (as engineering). (2) These subjects
                                                               Adin, A., Baumann, E. R., and Cleasby, J. L., The application of
                   and their practical application in industry, etc.
                                                                    filtration theory to pilot-plant design, Journal of the American
                   (Oxford American Dictionary, Oxford University   Water Works Association, 71(1):17–27, January 1979.
                   Press, New York, 1980).                     Al-Ani, M. Y., Hendricks, D. W., Logsdson, G. S., and Hibler, C. P.,
            Theory: (1) A set if ideas formulated by reasoning from  Removing Giardia cysts from low turbidity waters by rapid
                   known facts to explain something; 4 A statement of  rate filtration, Journal of the American Water Works Associ-
                   the principles on which a subject is based (Oxford  ation, 78(5):66–73, May 1986.
                                                               Amirtharajah, A., Fundamentals and theory of air scour, Journal of
                   American Dictionary, Oxford University Press, New
                                                                    the Environmental Engineering Division, 110(EE3):573–590,
                   York, 1980).
                                                                    June 1984.
            Transport: A suspended particle is ‘‘transported’’ to the  Amirtharajah, A., The interface between filtration and backwashing,
                   proximity of a ‘‘collector’’ (a media grain) where it  Water Research (Journal of the International Water Quality
                   may come under the influence of surface forces.   Association), 19(5):581–588, May 1985.
            Transport coefficient: The ratio of particles striking a filter  Amirtharajah, A. and Cleasby, J. L., Predicting expansion of filters
                   grain to those approaching.                      during backwash, Journal of the American Water Works Asso-
                                                                    ciation, 64(1):52–59, January 1972.
            Turbidimeter: An instrument that measures particle turbidity
                                                               Amirtharajah, A. and Wetstein, D. P., Initial degradation of effluent
                   in the sample provided. Bench turbidimeters are for a
                                                                    quality during filtration, Journal of the American Water Works
                   given sample and ‘‘in-line’’ turbidimeters read the  Association, 72(9):518–524, September 1980.
                   data at specified intervals for a continuous sample.  Baker, M. N., The Quest for Pure Water, American Water Works
                   See also ‘‘turbidity.’’                          Association, New York, 1948.
            Uniformity coefficient: The uniformity coefficient, U,is  Baylis, J. R., Experiences in filtration, Journal of the American
                   defined as the ratio d 10 =d 60 .                 Water Works Association, 29(7):1010–1048, 1937.
                                                               Baylis, J. R., Seven years of high rate filtration, Journal of the
            Unit filter run volume (UFRV): Volume of water filtered
                                                                    American Water Works Association, 48(5):585–596, 1956.
                   per unit of area per run, which is the product of
                                                            3  Beverly, R. P., Gravity-Filter Design and Maintenance 101, Water-
                   filtration velocity and run time. Units are m     world Review, Pennwell Publishing Company, Tulsa, OK,
                                                       2
                   water=m 2  filter bed area=filter run (gal=ft =run).  January=February 1995. (Re-printed by Leopold Water and
                   Reference is Kawamura (1999, p. 80).             Wastewater Products).
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