4. Balance Equations

4A. Disappearance of Al molecules

            Substituting for terms 1 and terms 2 the balance on the Al monomers becomes

                                                                                                        (16)

with

                    (9)

< 1.27´10²⁴]                              (14)

where

            n* is the number of molecules in a nucleus

                                                  [0 < n* < 2.4´10⁶]                                         (17)

            U is the carrier gas velocity (no pressure drop, P = P₀)

                                            (m/s)    (Q º v_o in the text)                                     (18)

4B. Balance on number of particles, N (# of particle/kg(gas))

                                                                                                                           (19)

Other Parameters to be Calculated

1. Volume density of Particles, V, (volume of particles/kg(gas))

                                                    m³/kg (gas)

                                                                                         [0 < V < 3.4´10^-7 m³/kg]                      (20)

where  n_mo is the initial number density of Al molecules

                                                     [2.86´10^-10 < d_p < 4.65´10^-7 m]                                               (21)

We  will solve Equation (9), (14) through (21) [the double boxed equations] simultaneously using an ODE solver. The polymath problem can be loaded directly from the CDROM.