Page 76 - Packed bed columns for absorption, desorption, rectification and direct heat transfer
P. 76

71


                            H dX
                                    = Xe-X;                                                (253)
                            Bo L dh

                          at h=H:
                          dX
                              = 0,                                                         (254)
                           dh


                           H dX
                                   = Y-Y.                                                  (255)
                          Bo G dh


                          X e and Y e are the initial concentrations of the absorbed component in the liquid
                          and in the gas phase respectively in kmol/kmol;
                                                                                     2
                                                                                        1
                          G m and L m molar velocities of the gas and liquid phase in kmol. m" . s" ;
                                      w H
                          Bo G =              ;— Bodenstein number for the gas phase;
                                 e(l-H d).D G
                                  T ff
                          Bo L =      r - Bodenstein number for the liquid phase;
                                                           3
                                                        3
                          e - free volume of the packing- m /m ;
                          D G and D L - axial mixing coefficients for the gas and for the liquid phases in
                            2
                          m /s;
                                 Because the axial mixing coefficients are depending on the packing
                          dimensions, they are determined in the dimensionless equations as Peclet
                          numbers defined for the two phases by:

                          Peclet number for the gas phase:



                           p e =     ^-^                                                   (256)


                                 E(l-H d).D G


                          Peclet number for the liquid phase:


                                  Ld n J> L
                                 H d
                                                                                           (257)
   71   72   73   74   75   76   77   78   79   80   81