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70   G a s , C h e m i c a l , a n d F r e e - E l e c t r o n L a s e r s     Chemical Lasers    71


                      (turbulent jet bubblers), various wetted-wall reactors, aerosols, and
                      liquid-jet reactors.
                                     16
                         It  is  currently  believed  that  the  above  reactions  produce  a
                                   1
                                                     1
                      near-unity O ( ∆) fraction. The O ( ∆) fraction can be reduced by
                                 2
                                                   2
                      several mechanisms: (1) deactivation within the liquid, leading
                      to the so-called detachment yield; (2) deactivation by gas-phase
                      surface film collisions; and (3) homogeneous deactivation in the
                      gas phase. In most practical devices, the dominant singlet delta
                      fraction  loss  mechanism  is  the  homogeneous  gas  phase  self-
                                       1
                      deactivation  of  O ( ∆).  Sophisticated  SOG  performance  models
                                      2
                      can be used to accurately evaluate these processes. Many reported
                      models concurrently model behavior in both the gas and liquid
                      film streams and predict SOG performance characteristics. One
                                 17
                      such  model   includes  an  effective  resistance  chlorine-oxygen
                                                          –
                      mass  transfer  model;  a  local  BHP  HO   diffusion  model;  and
                                                          2
                      evaluation of O ( ∆) detachment yield, surface deactivation, and
                                     1
                                    2
                      gas phase deactivation.
                         SOG chlorine utilization is also a function of chlorine flow rate
                      and  BHP  HO   molarity.  Because  BHP  is  typically  continuously
                                   –
                                  2
                      replaced  by  a  flowing  process,  the  surface  HO   concentration  is
                                                                –
                                                                2
                      determined by the balance between reaction depletion and ion diffu-
                      sion from within the liquid during the residence time that the BHP
                      surface remains in the reaction zone. For a typical SOG, chlorine uti-
                      lization  is  usually near unity  levels at the very  low  chlorine  flow
                      limit but declines to values on the order of 0.8 to 0.9 at useful flow
                      rates. At high initial surface [HO ] levels, utilization is typically a
                                                   –
                                                   2
                      weak function of [HO ], and at reduced levels, it eventually decreases
                                         –
                                        2
                                       –
                      toward zero as [HO ] tends to zero. However, because most modern
                                       2
                      SOG concepts replace the BHP by flowing it in some manner, deple-
                      tion is only important when ion diffusion is too slow to adequately
                      maintain surface HO .
                                        –
                                        2
                      3.4.6  COIL Laser Performance Characterization
                      In addition to SOG parameters, net laser performance is frequently
                      characterized by chemical efficiency, which is defined as the percent-
                      age of power output to the power output expected if 100 percent of
                      the chlorine has reacted and each resultant oxygen molecule has pro-
                      duced one laser photon:
                               Chemical efficiency = P(kW)/(91 kW × X )    (3.31)
                                                                 Cl2

                      The situation is often approximated in terms of a heuristic equation,
                                                                              14
                      defined as follows:
                                                                   η
                           Chemical efficiency = U × (F  – N × X  – F thres )η mix extract   (3.32)
                                                         I2
                                                  ∆
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