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Rapid Filtration                                                                                 385



            construction contract. The time period for completing these  that the pressure drop across a steel mesh screen
            phases of the work should be no more than six years.’’    with 35 mm pore opening increased exponentially
              The City of New York was planning to filter their Croton  with volume of suspension passed. Applied to the
            water supply, which would have brought a resolution to the  surface deposition on a deep bed filter, the Boucher
            approximately 100 years of concern on the question of filtra-  equation describes the ‘‘blinding’’ of the filter (see
            tion of the Croton water. The issue may have been resolved as  Ives, 1975b, p. 186).
            far as the City of New York was concerned when the discov-  Breakthrough: The third and final phase of a filtration cycle
            ery was made about 1998 that ultraviolet (UV) light could kill  (excluding backwash) is called ‘‘breakthrough.’’ It is
            Cryptosporidium oocysts; subsequent reports were that a UV  the rising leg of the C(t) z curve and occurs when the
            installation was underway. One reason for not moving ahead  filter is near exhaustion with respect to its capacity to
            on filtration was the very high cost involved.             store floc. Actually, this phase is merely the obser-
                                                                      vation of the ‘‘wave front’’ as it emerges from the
                                                                      bottom of the filter bed.
            GLOSSARY
                                                               Breakthrough curve: The C(t) z curve in its entirety may be
            Advection: The mass flow of a quantity that occurs with the  sometimes called the breakthrough curve. More
                   bulk velocity. Same as convection.                 commonly, breakthrough curve refers to the final
            Air binding: Gas, that is, oxygen and nitrogen, that displaces  phase of the C(t) Z¼Z o  curve in the filtration cycle in
                   volume within the filter bed causing blockage       which the curve begins to rise steeply.
                   of pores and thus higher headloss is called ‘‘air  Cake filtration: The slurry, that is, the body feed is the
                   binding.’’                                         filtering agent which accumulates and forms a cake.
            Air-wash: An adjunct to backwash to help dislodge attached  Filtration of small particles may occur in the depth of
                   floc by impacts between filter grains. Protocols vary  the diatomite layer. (Ives, 1975a, p. 1) The mechan-
                   but an investigation by Amirtharajah (1985) showed  ism is primarily straining.
                   that a ‘‘collapse pulsing’’ procedure at subfluidiza-  Chemical conditioning: The first phase of the filtration cycle
                   tion of the filter bed was most effective.          in which the concentration declines with time to
            American filter: During the early days of the rapid filtration  some acceptable level, that is, C   C(limit), which
                   technology, the prevailing filtration technology in  is maintained for the second phase of the filtration
                   Europe was slow sand. Since rapid filtration was an  cycle called the ‘‘steady state’’ phase. The duration
                   American invention, the filters were called ‘‘Ameri-  of the chemical conditioning phase may be say
                   can filters.’’                                      15 min to about 2 h and depends, most likely, on
            Attachment: The bonding between a particle and a filter    the initial value of the attachment coefficient, a.As
                   grain (which may be called a ‘‘collector,’’ depending  floc particles attach to the media, they will serve as
                   on the context). The bonding is due to surface forces  collectors, presumably with higher a than with the
                   principally van der Waals attractive forces after  bare media.
                   reduction in electrostatic repulsive forces. Chemical  Clogging front: A term used by Adin and Rebhun (1977)
                   factors affect the amount of reduction of the electro-  as a designation for the s(Z)t profile. The wave
                   static repulsive forces.                           front may be a measurable surrogate for the clogging
            Attachment coefficient: The ratio of particles striking a filter  front. Another surrogate that indicates the approxi-
                   grain to those that attach.                        mate end of the clogging front is the headloss
            Backwash: The reverse flow through a filter, that is, through  versus Z profile at a given time; the intersection
                   the under-drain system, upward through the media,  of the curve with the clean-bed headloss versus
                   with waste floc removed by overflow launders. The    Z curve, a straight line, indicates the end of the
                   bed of granular media is ‘‘fluidized’’ by the back-  clogging front.
                   wash.                                       Coagulant aid: The connotation is that a polymer is used in
            Bed expansion: The bed expansion is usually a percentage  addition to the metal coagulant. The intent is that
                   referenced to the ‘‘at rest’’ bed, that is, bed    microflocs may bind to sites on a polymer which
                   expansion ¼ (h   h o )=h o . In theory, the expanded  may occur partially during coagulation.
                   bed porosity is also used as a parameter of bed  Collector: A granular media surface that exhibits surface
                   expansion.  The  relationship  is  (h   h o )=h o ¼  forces that may cause particle attachment. A single
                   (e e o )=(1   e), in which h o and e o refer to bed  grain of granular media, for example, sand or anthra-
                   depth and porosity before expansion and h and e    cite or garnet, is called a ‘‘collector.’’ As the term
                   refer to bed depth and porosity after expansion.   implies, the particles-to-be-removed ‘‘attach’’ to col-
            Blinding: A deep bed filter that retains suspended particles by  lector surfaces and are removed.
                   straining may cause an exponential increase in head-  Collector: May refer to a porous medium grain that provides
                   loss, which is then said to be blinded.            a surface for particle adhesion. The term may be used
            Boucher’s  law: The  relationship,  Dp ¼ k 1 exp(k 2 V),  is  in the context of a particular model of a porous
                   Boucher’s law. It was discovered in observing      medium. Some choices in geometry include capillary
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