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Adsorption                                                                                       487



            TABLE 15.7
            Design Variables and Magnitudes for a Packed-Bed Reactor
                                              Variable                                 Magnitude
            Variable Group             Basic          Derivative        SI Units         Range          Typical
            Dependent
                                                                         3
             Column performance   C(Z, t)                            (kg=m )
                                                                         3
             Wave front           C(Z) t                             (kg=m )
                                                     v wf            (m=s)           f(X*, HLR, C 0 ) a  0.3 m=day a
                                                                                             a          a
                                                                     (m)             f(HLR, C 0 )     0.8
                                                     L wf
                                                                         3
             Breakthrough curve   C(t) Z¼Z max                       (kg=m )
                                                                                                         b
                                                     t(breakthrough)  (s)                             150 d
            Independent
            Adsorbent (GAC)
             Carbon type                                                             Commercial c
             Shape                                                                   All angular      Crushed
             Size
             mesh                                                    Mesh            0.5–4mm d        8   30 mesh
             d 50                 d 50                               mm              1.2–1.7 e        1.5 e
                                                                     mm              0.8–1.1 e        0.8 e
             d 10
             UC                                                                      1.4–1.9 e        1.7 e
                                                                      3     3
             Porosity             P                                  m voids=m bed   0.3–0.6          0.5
                                                                           3
             Particle density     r s                                kg sol=m sol    0.92–1.5 e       1.3 e
                                                                            3
             Apparent density                        r(apparent)     kg solids=m bed  430–480 e       480 e
                                                      ¼ r s (1   P)
                                                                      2
             Surface area                                            m =g            300–2500         1000 e
             Molasses number                                         min                              230 d
             Iodine number                                           min             600–1000 e       900 e
             Abrasion number                                         min             70–85 e          70 e
             Dispersion coeff.    D=v                                                0.75–0.80 f      0.75 f
                                                                       2
             Intrinsic permeability  k                               (m )
                                                     Headloss        (m)
             Bed expansion headloss                                  (m)
            Reactor design
             HLR                  HLR                                (m=s)           0.081–0.41 e     0.20 e
                                                                       2
             Area                                    A               (m )            A ¼ Q=HLR
             Length of bed        L(bed)                             (m)             3.0–9.0          9.0
             Contact time                            EBCT ¼ L=HLR    (min)           10–50            30
             Reactor type                                                                             Pressure steel
                                                                                                      Gravity concrete
             Lining                                                                                   epoxy, rubber
            Operation
             Adsorbate species                                                       1000’s           NOM, TCE, etc.
             Influent concentration  C 0                              mg=L            20–1000          20 mg TCE=L
                                                                     mg=L            1–5              2 mg NOM=L
             Isotherm capacity    X* (NOM)                           kg NOM=kg C                      0.5
                                  X* (CH 2 Cl 2 )                    mg=g C                           1.0 g
                                  X* (1,2,4 C 6 H 3 Cl 3 )           mg=g C                           100 g
                                                                                                       g
             Isotherm coefficients  K                                                 1–273 g          30 CCl 4
                                                                                                        g
                                  1=n                                                0.3–1.6 g        0.8 CCl 4
             Headloss rate        Dp=DL                              (m water=m) h   0.05–0.2 h       0.1 h
             Backwash rate        HLR(backwash)                      (m=s)           0.61–0.81 e      0.61 e
             Bed expansion                                           percent         10–50            20
             Flow mode            Upflow
                                  Downflow
                                                                                                         (continued)
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