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Biological Reactors                                                                              739



            Bulking sludge is a not an uncommon problem and has been  23.3.1.1  Structure
            studied extensively since the 1960s by Professor David Jenkins  Biofilms develop on virtually all surfaces in an aqueous
            at Berkeley and Dr. Michael Richard, Fort Collins, Colorado.  environment. They are prone to form on surfaces adjacent to
              Rising sludge may be an issue due to gas precipitation. In  flowing water, where a steady nutrient supply facilitates organ-
            primary clarifiers, methane and carbon dioxide are produced  ism growth. Along with cellular growth, extra-cellular organic
            in the sludge-thickening zone at high enough concentrations  polymers are excreted which are the slime layers on surfaces
            to come out of solution as bubbles and attach to sludge
                                                               (Prescott et al., 2005, p. 897). Most bacteria excrete these
            agglomerations. In the final clarifier, the anoxic conditions  polymers, which extend from the cell, forming a tangled matrix
            may cause denitrification with the precipitation of nitrogen  of fibers giving a structure to the associated biofilm (Characklis
            gas, which may cause rising sludge.                and Marshall, 1990, p. 4). After initial colonization by a single
                                                               species, monolayer, layers of other species may be added; as
            23.3 BIOFILM REACTORS                              the biofilm matures, the structure becomes complex with cell
                                                               aggregates, interstitial pores, and channels. The biofilm may
            Biofilm reactors include traditional trickling filters, deep-bed
                                                               evolve into a ‘‘mat’’ with appreciable thickness.
            trickling filters, rotating biological disks, and sand beds designed
            as biofilm reactors, also called ‘‘attached growth reactors’’
                                                               23.3.1.2  Transport of Nutrients
            (Grady et al., 1999). The idea is that the biofilm that develops
                                                               The nutrients and dissolved oxygen are transported by advec-
            on surfaces is the site for a reaction. The media can be almost any
                                                               tion to the vicinity of the biofilm, where the transport mechan-
            material. Biofilms are found throughout the natural environment
                                                               ism changes to diffusion across a liquid ‘‘film’’ and then into
            and occur spontaneously on almost any surface, e.g., rocks in
                                                               the complex macro-structure (see Chapter 18). As the biofilm
            streams, pipes in water distribution systems, in soils, membranes
                                                               develops macro-dimensions, the inner structure becomes
            for water treatment, granular activated carbon, etc. Biofilms are
                                                               anaerobic and may cause sloughing of discernible pieces.
            important also in ‘‘passive’’ kinds of designs for water treatment,
            such as the leach field of a septic tank system where the water
            treatment occurs. The septic tank merely settles whatever will  23.3.2 BIOFILM REACTORS MODEL
            settle; the solids degrade anaerobically. Since about the late
                                                               Appendix 23.A shows the rationale for a biofilm reactor
            1980s, research has been underway to explore biofilm reactors
                                                               model starting with a mass balance equation for an infinitesi-
            in the removal of natural organic matter in order to reduce
                                                               mal slice of the reactor. From the mathematical development
            disinfection by-product precursors.
                                                               shown, a ‘‘final’’ equation, Equation 23.A.29, is the result,
              The reactor design is a fixed bed in most cases, which means
                                                               which has been used in practice since about 1960 when
            that the substrate concentration changes with bed depth. The
                                                               proposed by Eckenfelder (1961). Table CD23.6 is a spread-
            qualification ‘‘most cases’’ is included because at least one
                                                               sheet model with finite elements; an excerpt is shown.
            proprietary innovation has involved fluidized beads with a
            biofilm. For a stationary-bed reactor, which includes virtually  23.3.2.1  Empirical Equation
            all cases, the associated reactor analysis must be for a finite
                                                               As seen by Equation 23.A the substrate concentration
            element (since the bed as a whole is not homogeneous).
                                                               decreases exponentially with depth. The decline increases
                                                               further with lower HLR. The model is characterized by a
            23.3.1 BIOFILMS
                                                               coefficient, k, which may be fitted to operating results or
            Not much was known about biofilms until about the 1970s. In  pilot plant experimental measurements.
            recognition that biofilms were important but little understood,

            the Center for Biofilm Engineering was established in 1991 at                     Z
                                                                              S ¼ S o exp  k               (23:9 )
                                                                                                               0
            Montana State University as a National Science Foundation                      HLR
            Center of Excellence. Since then and from other sources, an
            understanding of biofilms has evolved along with knowledge  where,
            on how to utilize them for practical purposes. In many cases  S is the substrate concentration at any depth (kg sub-
                                                                          3
            biofilms are a problem and control is the objective. A book  strate=m )
            edited by Characklis and Marshall (1990) was one of the first  S o is the substrate concentration at entrance to the reactor
                                                                                3
            to elucidate some of the characteristics of biofilms.    (kg substrate=m )
                                                                                         1
              The stoichiometric relations and Monod kinetic equations  k is the reactor coefficient (s )
            as developed in Chapter 22 are applicable in general to bio-  Z is the depth within the reactor (m)
                                                                                                        3  2
            films. The reaction rate may be limited, however, by the  HLR is the hydraulic loading rate, HLR ¼ Q=A (m =m =day)
            diffusion-transport rate within the aqueous film and a pseudo
            solid biofilm. The biofilm reactors are mostly stationary and  A simple stationary-bed model is developed to illustrate,
            depend on advective transport to the microorganism (the  again, the application of the materials-balance principle, com-
            reaction site). This is in contrast to the suspended growth  bined with kinetics. The stationary bed could be a traditional
            reactors where the reactants come into contact with each  trickling filter, about 2 m depth, or any deep-bed nitrification
            other by fluid turbulence, with a diffusion-transport step.  biofilm reactor. The approach is generally applicable.
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