# 26 Non-isothermal
CSTR part (c)
Calculated values of NLE variables
|
|
Variable
|
Value
|
f(x)
|
Initial
Guess |
|
1
|
FA
|
0.2487268
|
-5.193E-10
|
0.3
|
|
2
|
FB
|
0.4598077
|
5.456E-10
|
0.3
|
|
3
|
FC
|
0.0731988
|
-1.83E-11
|
0.3
|
|
4
|
FD
|
0.0625495
|
-1.562E-11
|
0.3
|
|
|
Variable
|
Value
|
|
1
|
CA
|
0.035927
|
|
2
|
CA0
|
0.1626016
|
|
3
|
CB
|
0.0664163
|
|
4
|
CC
|
0.0105731
|
|
5
|
CD
|
0.0090349
|
|
6
|
CPA
|
16.
|
|
7
|
CPB
|
16.
|
|
8
|
CPC
|
16.
|
|
9
|
CPD
|
10.
|
|
10
|
dCP |
4.
|
|
11
|
E1
|
5600.
|
|
12
|
E2
|
6000.
|
|
13
|
E3
|
7000.
|
|
14
|
FA0
|
0.8130081
|
|
15
|
FT
|
0.8442829
|
|
16
|
HA
|
1.46E+04
|
|
17
|
HB
|
5500.
|
|
18
|
HC
|
4000.
|
|
19
|
HD
|
3000.
|
|
20
|
k1
|
0.1570634
|
|
21
|
k2
|
0.0110212
|
|
22
|
k3
|
0.0047089
|
|
23
|
PA0
|
4.
|
|
24
|
Q
|
-3915.548
|
|
25
|
R
|
0.082
|
|
26
|
R2
|
1.987
|
|
27
|
rA |
-0.0056428
|
|
28
|
rB |
0.0045981
|
|
29
|
rC |
0.000732
|
|
30
|
rD |
0.0006255
|
|
31
|
SCD
|
1.170254
|
|
32
|
sumrdH |
52.16361
|
|
33
|
T
|
400.
|
|
34
|
T0
|
300.
|
|
35
|
v
|
6.92312
|
|
36
|
V
|
100.
|
|
37
|
v0
|
5.
|
|
38
|
X
|
0.694066
|
Nonlinear equations
|
1
|
f(FA)
= FA0+rA*V-FA = 0 |
|
2
|
f(FB)
= rB*V-FB = 0 |
|
3
|
f(FC)
= rC*V-FC = 0 |
|
4
|
f(FD)
= rD*V-FD = 0 |
Explicit equations
|
1
|
PA0
= 4 |
|
2
|
v0
= 5 |
|
3
|
T0
= 300 |
|
4
|
R
= 0.082 |
|
5
|
CA0
= PA0/(R*T0) |
|
6
|
FA0
= v0*CA0 |
|
7
|
T
= 400 |
|
8
|
V
= 100 |
|
9
|
FT
= FA+FB+FC+FD |
|
10
|
v
= v0*FT/FA0*T/T0 |
|
11
|
CA
= FA/v |
|
12
|
CB
= FB/v |
|
13
|
CC
= FC/v |
|
14
|
CD
= FD/v |
|
15
|
R2
= 1.987 |
|
16
|
E1
= 5600 |
|
17
|
E2
= 6000 |
|
18
|
E3
= 7000 |
|
19
|
k1
= 1.5E-2*exp(-E1/R2*(1/T-1/T0)) |
|
20
|
k2
= 8.9E-4*exp(-E2/R2*(1/T-1/T0)) |
|
21
|
k3
= 2.5E-4*exp(-E3/R2*(1/T-1/T0)) |
|
22
|
rA = -k1*CA |
|
23
|
rB = k1*CA-k2*CB-k3*CB |
|
24
|
rC = k2*CB |
|
25
|
rD = 2*k3*CB |
|
26
|
SCD
= FC/FD |
|
27
|
X
= (FA0-FA)/FA0 |
|
28
|
HC
= 4000 |
|
29
|
HD
= 3000 |
|
30
|
CPD
= 10 |
|
31
|
CPA
= 16 |
|
32
|
CPB
= 16 |
|
33
|
CPC
= 16 |
|
34
|
dCP = 2*CPD-CPB |
|
35
|
HA
= 14600 |
|
36
|
HB
= 5500 |
|
37
|
sumrdH =
-k1*CA*(HB-HA)-k2*CB*(HC-HB)-k3*CB*((2*HD-HB)+dCP*(T-298))
|
|
38
|
Q
= FA0*CPA*(T-T0)-V*sumrdH |