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)

< 1.27x1024J

(14)

where

      n* is the number of molecules in a nucleus

  [0 < n* < 2.4x106J

(17)

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

(m/s)    (Q = vo 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 < 3.4x10-7 m3/kg]

(20)

where nmo is the initial number density of Al molecules

[2.86x10-10 < dp < 4.65x10-7 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 DVD.