Chemistry Reference
In-Depth Information
From the detailed discussion of these equations (in a suitable dimensionless form)
concerning the chemical point of view and
restricting on volume reactions
the fol-
lowing general principles of plasma chemical similarity for
homologous
points of
two systems of the AZ result [17]
•
Similar systems agree in the spatial and temporal distributions of all their
components, expressed by identical values of
n
i
L
0
,
τ
0
n
0
n
i
,
L
0
,
t
0
r
0
with
n
0
=
(4.18)
τ
0
τ
0
is the residence time of gas mixture in the Active Zone,
L
0
the char-
acteristic length (e.g., of reactor); here subscript “0” are the reference
parameters.
•
The plasma chemical similarity is described by the correspondence in
n
i
n
0
,
T
T
0
,
n
e
n
e
0
U
e
U
e
0
,
,
i
=
1, 2,
...
.
(4.19)
The conditions for this correspondence are the following one:
•
From outside in chemical similar plasmas two reduced physical fields
must be in correspondence
v
L
0
,
τ
0
v
0
E
τ
0
E
0
,
.
(4.20)
Here, the geometrical similarity is manifested.
•
The dimensionless similarity parameters of the problem are:
τ
0
D
i
0
L
0
λ
W
0
T
0
L
0
p
0
v
0
=
λ
e
0
E
0
U
e
0
μ
ion
μ
e
0
λ
e
0
L
0
τ
e
0
τ
0
,
P
e
,
,
and
,
,
(4.21)
P
e
is the Peclet Number. Both later ones are a consequence of introducing
kinetic reference parameters for the electron gas (subscript “0”).
•
For plasma chemical similarity the correspondence of all the reduced
source terms
τ
0
S
i
n
0
τ
0
H
p
0
τ
e
0
S
e
n
e
0
τ
e
0
H
e
U
e
0
,
,
,
(4.22)
is required.
The widely general principle of plasma chemical similarity reflects
the underlying electronical similarity of the plasma.
