chemical physics of discharges - Argonne National Laboratory

divided into four c.ases:
Case I. Diffusion tube (B = 0) with inactive reactor zone
walls (1/p2 = 0);
Case 11. Diffusion tube (p = 0) with active reactor-zone(
walls (1/p2 p 0);
Case ID, Flow tube (p # 0) with inactive reactor-zone Walls
(1/p2 = 0); and
Case IV. Flow tube (B # 0) with active reactor-zone walls
(Up2 # 0).
The eight most useful solutions are listed in Table 11. The most general
solution for the reactor zone, from which the 35 others can be obtained by
appropriate simplifications, is Eq. (60). The original paper should be consulted
for further information concerning the derivation 'of the mass-balance equations,
the boundary conditions, or the other theoretical solutions. Definitions of
dimensionless groups are given in the Appendix.
TABLE 11. Pertinent Solutions to Equation (7).
L+M
Discharge-zone boundary condition: = 0 at X = -
dX R
Case I. Case 11. Case 111. Case IV.
= 0 at A = -m Eq. (27) Eq. (36) Eq. (27) Eq. (54)
dJr = at X = 0 Eq. (33) Eq. (42) Eq. (51) Eq. (60)
Jr = a262 (27)
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