Page 361 - Applied Process Design For Chemical And Petrochemical Plants Volume II
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350                       Applied Process Design for Chemical and Petrochemical Plants

            This has been shown to correlate for a wide variety of   3. Determine   by:
           tower packings, various operating conditions, and physical
                                                                      1
                                                                                                               -
           properties of the solute and inert gases. The   calculated   --  --  1   +-=-   1   1              (9 94)
           must be used in conjunction with  the effective interfacial   KGa  kGa  H’kLa  H’KLa
           areas determined by Shulman [65] Figure 947, to establish
           a reliable value for kGa. Figure 947 should be used with the   Height of a Traasfer Unit, HOG, HOL, HTU
           abscissa as G/$/0.075   for inert gas other than air [67]:
                                                                   An earlier concept of height equivalent to a theoretical
           kGa = k(a)                                            plate (HETP) for relating the height of packing to a unit
                                                                 of transfer  known as the theoretical stage or plate has gen-
           HTU (WPhase) = G’/~@IMPBM                    (9-89)   erally been dropped in favor of the “height of a transfer
                                                                 unit“ €€TU, and designated as HOG or HOL depending on
           where  4, = diffiuivity of solute in gas, ft2/hr
                 kG  = *phase   mass transfer coefficient lb mol/hr  (ft2)   whether it was determined from gas or liquid film data.
                     (am)                                        HETP data for absorption and distillation is given in the
                MM = mean molecular weight of gas, lb/lb  mol    section under packed tower distillation.
                PBM  = mean partial pressure of inert gas in the gas
                     phase, atm
                p~~ = gas viscosity, lb/(hr)  (ft)
                 p~ = gas density, lb/ft3
                 G  = superficial gas  rate, lb/ (hr) / (ft2)    Height of  Overall Transfm Unit
             1    1      1     l    m      1                       For small changes in concentration and total number
           -=-       +-=-         +-=-                  (9 - 90)
           KGa  kGa  H’kLa  kGa  kLa  H‘KLa                      mols of gas and liquid remain essentially constant; applic-
                                                                 able to all but very concentrated solutions. For the latter
             1   1   H    ’   l     1                            case see References 18 and ’74.
           -=-       +-=-       +-                      (9 - 91)
           KLa  k,a   kGa  KLa  mkGa
                                                                          GM                                   -
                                                                 HOG=K  aP                                   (9 95A)
                 H‘ = Henry’s law constant, lb mols/(ft3)  (atm)         G   ave
                 kL  = liquid-phase mass transfer coefficient, lb
                     mols/(hr)  (ft2) (lb mols/ft3)                                                          (9  - 95B)
           The relation
                                                                                                              (9  - 96)
           vaporization  (kGa),    h
                                                          -
                               0.85
                      = - -L                            (9 92)
                              I
            absorption   (kGa),    ho
           is reported to correlate *8%  based on data tested, and
           appears to be founded on a sound investigative program.   Height of Individual Transjier Unit
             For the liquid phase based on Raschig ring and Berl sad-
           dle data [65] :                                         For same conditions as  (1.) Some data are reported as
                                                                 individual gas or liquid film coefficients or transfer unit
                                                                 heights. However, it is  often possible to use it as overall
                                                          -
                                                        (9 93)   data if the conditions are understood.

                                                                 HG =    Gm                                   (9 - 98)
                                                                      k~a
                                                                          Pave,
           use of kG and kL
                                                                        r,
             1. From physical properties of system, determine   and   HL =-                                   (9 - 99)
               kL.  If system is known or can be assumed to be essen-   kLa PL
               tially all gas or all liquid film controlling, then only the
               controlling k need be calculated. For greater accura-
               cy, both values are recommended, because very few
               systems are more than 80% controlled by only one k.
             2. Combine effective interfacial area to calculate kGa or
               kLa.
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