3 Katalytische Performance der Mo/V(/W)-Mischoxide - tuprints

144 Kinetische Modellierung und Parameterschätzung
r = k ⋅c
⋅c
7
8
Acs
Acs
16Acr
r = k ⋅c
⋅c
9
Acs
16Acr
r = k ⋅c
⋅c
10
Acs
18Acr
r = k ⋅c
⋅c
11
18Acr
tausch_Acr
(16O)s
(18O)s
(16O)s
16Acr
(18O)s
r = k ⋅c
⋅c
r = k ⋅c
⋅c
12
13
tausch_Acr
tausch_Acs
18Acr
1618Acs
(18O)s
r = k ⋅c
⋅c
r = k ⋅c
⋅c
14
15
tausch_Acs
tausch_Acs
1616Acs
r = k ⋅c
⋅c
16
tausch_Acs
1818Acs
r = k ⋅c
⋅c
r ⋅
1618Acs
17 = kCO
⋅c
2 16Acr c(16O)s
r ⋅
18 = kCO
⋅c
2 16Acr c(18O)s
r ⋅
19 = kCO
⋅c
2 18Acr c(16O)s
r ⋅
20 = kCO
⋅c
2 18Acr c(18O)s
r = k ⋅c
⋅c
21
22
CO
CO
16Acr
r = k ⋅c
⋅c
23
CO
16Acr
r = k ⋅ c ⋅ c
24
CO
18Acr
r = k ⋅ c ⋅ c
18Acr
(16O)s
(18O)s
(16O)s
(18O)s
(16O)s
(16O)s
(18O)s
(16O)s
(18O)s
Die notwendigen Randbedingungen für Sauerstoff und die übrigen Komponenten i sind:
∂c
16O2, v
∂x
⎧ wv
⎪
−
( 0,
t)
⎪ D
= ⎨
⎪
wv
−
⎪
⎩
D
v
ax, v
ax, v
⋅
( c − c ( 0,
t)
)
16O2,0
16O2, v
( t − t )
⎡ ⎛ −
⎢ ⎜ 0
⋅ exp
⎜ 2
⎢⎣
⎝ 2 ⋅σ
2
⎞
⎟
⋅ c
⎠
16O2,0
− c
16O2, v
⎤
( 0,
t)
⎥
⎥⎦
für t ≤t
0
für t > t
0
5-73
5-74
5-75
5-76
5-77
5-78
5-79
5-80
5-81
5-82
5-83
5-84
5-85
5-86
5-87
5-88
5-89
5-90
5-91