| Name: |
Twoeq8 - Global reaction rate
in Catalytic Oxidation of Nitrogen |
| Source: |
Smith, J. M., Chemical Engineering
Kinetics, McGraw-Hill, 1981,p. 443 |
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Vasudevan,P. T., Personal
Communications |
| Reference/s |
Shacham, M. and Brauner, N.,
Computers chem. Engng. Submitted |
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| Model: |
2 implicit equation, indep.
variable names: rp,x |
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Higher difficulty level |
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Constraints:rp>0 |
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Discontinuities: function
undefined for x<0 |
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Initial estimates: 1. r=0.0001,
x=0.01; 2. r=0.001, x=0.01; 3. r=0.0001, x=0.1; |
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4. r=0.5, x=0.5; |
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| Solved by |
Shacham, M., POLYMATH 5.1,
build 19, April 2, 2001 |
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| Model Eqs. |
Global reaction rate in Catalytic
Oxidation of Nitrogen |POLVER05_3 |
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EXCEL
FILE |
f(rp) = rp-0.327*x^0.804*exp(-5230/(1.987*(373+1.84e6*rp)))
# |
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TEXT
FILE |
f(x) = x-(0.06-161*rp) # |
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POLYMATH
FILE |
rp(0)=0.5 |
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x(0)=0.5 |
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| Variable/function values |
Variable |
Value |
f(x) |
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rp |
0.0001 |
2.8503E-05 |
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x |
0.01 |
-3.3900E-02 |
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| Solution |
Variable |
Value |
f(x) |
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rp |
0.0003406054400 |
1.0842E-19 |
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x |
0.0051625241669 |
-8.6736E-19 |
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| Additional information |
Modified version of problem
Oneeq17. From initial |
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guesses 3 and 4 only constrained
methods that keep x |
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positive throughout the iterations
converge. |