| Name: | Seveneq2b - Esterification Reaction in Two Consecutive CSTRs - Revised Form. | ||
| Source: | Seadet, J. D. et al., Computers chem. Engng.,14 71(1990). | ||
| Reference/s | Gupta, Y.P. (1995). Ind. Eng. Chem. Res. 34, 536-544 | ||
| Model: | 7 implicit equations, indep. variables A, B, C, D, E, F and G | ||
| Higher difficulty level | |||
| Constraints: All the variables must be >=0 | |||
| Discontinuities: none | |||
| Initial estimates: 1. (80, 7, 60, 7, 0.5, 4, 0.05 ); 2. (100, 10, 50, 10, 0.5, 4, 0.05); | |||
| 3.(50, 5, 25, 5, 0.5, 4, 0.05); | |||
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| Solved by | Shacham, M., POLYMATH 5.1, build 19, April 15, 2001 | ||
| Model Eqs. | Esterification Reaction in Two Consecutive CSTRs - Revised Form |POLVER05_3 | ||
| f(A) = 5.5*(D-B)*(B+C)-B*(A-B-C) # | |||
| f(B) = 3.5*(0.888*A-C-D)*(B+C)-C*(A-B-C) # | |||
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f(C) = 5.5*(0.0986*A-0.01*(1.098*A-B-9*D-E-F+G) -(B+E))*(E+F)-E*(1.098*A-B-9*D-E-F+G) # |
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f(D) = 3.5*(0.986*A-9*D-F-0.0986*A+0.01*(1.098*A-B-9*D-E-F+G))*(E+F) -F*(1.098*A-B-9*D-E-F+G) # |
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| f(E) = 2056.4*(0.0986*A-D)^2-D*(A-B-C)^2 # | |||
| f(F) = 0.61177-(A*0.0986-D)+0.01*(1.098*A-B-9*D-E-F+G) # | |||
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f(G) = 0.04*(74.12*(0.986*A-10*D)+222.24*(0.0986*A-D)+18*(D-B)+278.84*D +98.09*0.0136*A)/98.01-0.0136*A-G# |
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| A(0)=80 | |||
| B(0)=7 | |||
| C(0)=60 | |||
| D(0)=7 | |||
| E(0)=.5 | |||
| F(0)=4 | |||
| G(0)=0.06 | |||
| Variable/function values | Variable | Value | f(x) |
| A | 80 | -9.1000E+01 | |
| B | 7 | 1.6738E+02 | |
| C | 60 | -4.1350E-01 | |
| D | 7 | 1.1384E+01 | |
| E | 0.5 | 4.3856E+02 | |
| F | 4 | -1.4223E-01 | |
| G | 0.06 | 4.1322E-02 | |
| Solution | Variable | Value | f(x) |
| A | 80.5396204210231 | 1.2790E-13 | |
| B | 6.9730107905982 | 1.9327E-12 | |
| C | 61.1233326471120 | 2.6645E-15 | |
| D | 7.2046801639777 | -5.6843E-14 | |
| E | 0.5477285762994 | -6.8212E-13 | |
| F | 3.6537136469003 | 6.5226E-16 | |
| G | 0.0597122208353 | -7.5634E-16 | |
| False solution | Variable | Value | f(x) |
| A | 23.0651984622826 | -5.6268E-14 | |
| B | 6.22288010558E-15 | 5.6252E-13 | |
| C | 3.53662923782E-15 | -1.5987E-13 | |
| D | 1.6257068608802 | -3.3218E-12 | |
| E | 2.0467274231075 | -9.5611E-11 | |
| F | 5.1231474057701 | 6.4115E-15 | |
| G | 0.1508194152979 | 3.9357E-14 | |
| Additional information | Converge to a false solution from initial guesses 2 and 3. | ||
| The last solution is a false one because the original equations | |||
| 1 and 2 (see Seveneq2a) are not satisfied at that point | |||
| There are several inconsistencies between the two formulations | |||
| of the model equations appearing in the original source. We | |||
| attempted to correct the equations to obtain solution close | |||
| to the one shown in the original source. | |||