Page 362 - Applied Process Design For Chemical And Petrochemical Plants Volume II
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Packed Towers                                           351

           where A  = L,/mG,                                                          Table 9-41
                                                                          Liquid Film Height of Transfer Unit*
             For predominately liquid film controlling system, A'HG
           is almost negligible and HOL = HL; likewise for gas film                                       Range of L'
           controlling, HL/A' is negligible and HOG = HG.        Packing                 9        j       Lb/h (ftz)
                                                                 ~-                    -.    -.               .-
                                                                 Raschig Rings (In.)
           where  G,,,  = gas mass velocity, Ib mol/(hr)  (ft2)    36                 0.00 182   0.46     400-15,000
                  L,   = liquid mass velocity, lb mol/(hr)  (ft2)   !4                0.00357    0.35     400-15,000
                 Kc;a = overall gas mass-transfer coefficient, lb mol/(hr)   1        0.0100     0.22     400-15,000
                      (ft3) (am)                                   1.5                0.0111     0.22     400-15,000
                 KLa  = overall liquid mass-transfer coefficient, Ib   2              0.0125     0.22     400-15,000
                      mol/(hr)  (ft3) (lb mol/ft3)               Berl Saddles (In.)
                 kGa  = individual gas mass-transfer coefficient, lb   M              0.00666    0.28     400-15,000
                      mol/(hr)  (ft3) (am)                         1                  0.00588    0.28     400-15,000
                 kLa  = individual liquid mass-transfer coefficient, lb   1.5         0.00625    0.28     400-15,000
                      mol/(hr)  (ft3) (lb mol/ft3)               3 In. Partition rings,
                 Pa,,  = average total pressure in tower, atmospheres   stacked staggered   0.0623   0.09   3,000-14,000
                 HL = height of liquid film transfer unit, ft
                 HG = height of gas film transfer unit, ft       Spiral Rings, stacked
                                                                   staggered
                   a = effective interfacial area for contacting gas and   3-in. single spiral   0.00909   0.28   400-15,000
                      liquid phases, f$/ft3.  Because this is very difficult   3-in. triple spiral   0.28   3,000-14,000
                      to evaluate, it is usually retained as a part of the            0.0116
                      coefficient such as &a,  KLa, kGa, and kLa.   Drippoiut grids
                  V  = vapor flow rate, Ib mol/hr                  (continuous flue)
                                                                   Style 6146         0.0154     0.23    3,500-30,000
           Estimation of Height of Liquid Film Tranqer Units       Style 6295         0.00725    0.31    2,~00-22,000
                                                                 *Reproduced by  permission, Treybal, R.  E.,  Mass  Tranqer  Operations,
             The following relation is used in estimating liquid film   McGraw-Hill Book Co., Inc. (19.55),  p. 237, using data of Sherwood, T.
           transfer  units  [62].  For  the  proper  systems HL may  be   K  and Holloway, F.  A.  L.  [62]  and of  Molsrad, McKinney and Abbey
                                                                  [51],  all rights reserved.
           assumed to be equal to HOL.
                                                                             mG
           HL = 4  (L'/pLa$  (PLJPLDL)'.~, ft          (9 - 102)   HoG=HG+-(HL)=HG+-  HL                     (9- 100)
                                                                             L             A
           where ~IJPLDL = Schmidt number                         H~L=HL+-(HG)=HL+AHG
                                                                             L
                      €3~ height of transfer unit, ft                                                        (9- 101)
                         =
                      L'  = liquid rate, lb/ (hr) (ft2)                     mG
                      UL  = viscosity of liquid, lb/ (ft) (hr)
                      DL = liquid diffusivity, ftn/hr              Figure 9-73 presents some of the data of Fellinger [27]
                      9 and j are constants given in Table 941.   as presented in Reference 40 for HOG for the ammonia-
                                                                 air-water systems. This data may  be  used  with  the  Sher-
             Diffusivity values are given in Table 9-42.         wood relations to estimate HL and HG values for other sys-
                                                                 tems.
           Estimation of Height of Gas Film Transfer Units
                                                                 Estimation of Diffusion CoefJicients of Gases
             The relation  [61, 62, 631
                                                                   Good reliable diffusion data is  difficult to obtain, par-
                                                                 ticularly over a wide range of  temperature. The Gilliland
                                                       (9 - 103)   relation is [63] :

           describes a reasonable part of the gas film data. It allows
           the conversion of the ammonia-air-water data of Fellinger
           [27] to useful interpretation for other systems. Table 943
           gives the constants for the equation.
                                                                 where   T = absolute temperature, "R
           a, p, y  = constants peculiar to packing for dilute and moderate   MA, MB = molecular weights of the two gases, A and B
                  concentrations [ 741 :                                 P = total pressure, atm
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