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P1: LDK Revised Pages
 Encyclopedia of Physical Science and Technology  EN001H-01  May 7, 2001  16:18






               24                                                                          Absorption (Chemical Engineering)


               L          Liquid flow rate, lb/h (kg/h)           x fm       Film factor, given by Eq. (8b)
               L          Liquid flow rate, lb mole/h (kmol/s)     y         Mole fraction solute (in bulk-gas phase,
                          (Fig. 12 and Eq. 33 only)                         unless otherwise subscripted)
               l          Liquid component flow rate, lb mole/h    y         Mole solute in gas per mole of rich gas
                          (kmol/s)                                          entering the absorber
               L M        Molar liquid-phase mass velocity,       y A       Mole fraction solute A (in bulk-gas phase,
                                   2
                                             2
                          lb mol/(h ft ) [kmol/(s m )]                      unless otherwise subscripted)
               L          Molar solute-free solvent mass velocity,  y  ∗    Mole fraction solute in bulk-gas in
                 M
                                   2
                                             2
                          lb mol/(h ft ) [kmol/(s m )]                      equilibrium with solute concentration in
               m          Slope of equilibrium curve = dy /dx,              bulk-liquid
                                                    ∗
                          dimensionless                           y  ∗      Mole fraction solute in bulk-gas in
                                                                  A
               N          Number of stages in a stagewise contactor         equilibrium with solute concentration in
               N          Mass transfer rate across interface, lb           bulk-liquid
                          mole/h (kmol/s) (Fig. 12 and Eq. (32) only)  y BM  Logarithmic-mean inert-gas concentration
                          Molar flow rate of solute A per unit               between bulk-gas and interface, defined by
               N A
                                                2
                          interfacial area, lb mol/(h ft )                  Eq. (6a)
                                  2
                          [kmol/(s m )]                           y  ∗      Logarithmic-mean inert-gas concentration
                                                                  BM
               N B , N C ,... As N A , but with respect to solute B, C, ...  between bulk-gas and value in equilibrium
                          Number of gas-phase mass-transfer units,          with bulk-liquid
               N G
                          dimensionless                           y fm      Film factor, given by Eq. (8b)
                          Number of liquid-phase mass-transfer    y  ∗      Film factor, given by Eq. (8d)
               N L
                                                                  fm
                          units, dimensionless                   δ          Film thickness, ft (m)
               N OG       Number of overall gas-phase mass-transfer  µ      Liquid viscosity, cP [kg/(s m)]
                                                                                      3
                                                                                            3
                          units, dimensionless                   ρ          Density, lb/ft (kg/m )
               P          Pressure, atm (kPa)                    σ          Surface tension, dyn/cm (N/m)
                                                                                     o
               p          Solute partial pressure in bulk gas,   φ          Ratio k L /k , reaction enhancement factor,
                                                                                     L
                          atm (kPa)                                         dimensionless
                                                                                     o
               Q          Heat removal rate, Btu/h (kJ/s)        φ ∞        Ratio k L /k when H a =∞, dimensionless
                                                                                     L
               r A        Volumetric reaction rate of component A,  ψ       Ratio of water to liquid density,
                                             3
                                   3
                          lb mol/(h ft ) [kmol/(s m )]                      dimensionless
                          Volumetric reaction rate of component B,
               r B
                                             3
                                   3
                          lb mol/(h ft ) [kmol/(s m )]           Subscripts
               T          Temperature, F( C)                     0           Liquid inlet to stage contactor
                                        ◦
                                     ◦
               t          Parameter defined by Eq. (8d), indicating  1        Column bottom (differential contactor)
                          degree of counter-diffusion            1           Stage 1 (Top stage in a stagewise
                          Vapor velocity, based on tray area less the
               U nf                                                          contactor)
                          area at the bottom of the downcomer, at the  2     Column top (differential contactor)
                          flood point, ft/s (m/s)                 2           Stage 2 (Stagewise contactor)
                          Superficial vapor velocity, ft/s
               U s                                               A           Component A
               V          Gas flow rate, lb mole/h (kmol/s)       ave         Average for the column
               v          Gas component flow rate, lb mole/h      B           Component B
                          (kmol/s)                               C           Component C
               x          Mole fraction solute (in bulk-liquid phase  G      Gas phase
                          unless otherwise subscripted)          i           Interface
               x          Mole solute in liquid per mole of      j           Component j
                          solute-free solvent entering absorber  L           Liquid phase
               x A        Mole fraction solute A (in bulk-liquid  N          Stage N (bottom stage in a stagewise
                          phase, unless otherwise subscripted)               contactor)
               x  ∗       Mole fraction solute in bulk-liquid
                A                                                n           Stage n
                          inequilibrium with solute concentration in
                          bulk-gas                               Superscripts
               x BM       Logarithmic-mean inert-solvent         I          At the interface
                          concentration between bulk liquid and  L          Liquid
                          interface, given by Eq. (6b)           v          Vapor (or gas)
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