| Name: | Oneeq7- Conversion in a chemical reactor | ||
| Source: | Shacham, M., 1986, Int. J. numerical Meth. Engng, 23, 1455 | ||
| Reference/s | Shacham, M. 1989, Chem. Engng. Sci., 44(7), 1495 | ||
| Model: | 1 implicit equation, indep. variable name: x | ||
| Higher difficulty level | |||
| Constraints: 0<=x<=1 | |||
| Discontinuities: function undefined for 0.8<=x<=1.0 | |||
| Initial range: zmin=0.0, zmax=0.79 | |||
| Solved by | Shacham, M., POLYMATH 5.1, build 19, Nov. 17, 2000 | ||
| Model Eqs. | Conversion in a Chemical Reactor |POLVER05_1 | ||
| f(x) = x/(1-x)-5*ln(0.4*(1-x)/(0.4-0.5*x))+4.45977 # | |||
| x(min)=.0, x(max)=.79 | |||
| Variable/function values | Variable | Value | f(x) |
| x | 0.5 |
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| Root | Variable | Value | f(x) |
| x |
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| Additional information | The radius of convergence of derivative based methods is very small | ||
| for this problem since the function is undefined for for 0.8<=x<=1.0 | |||
| in the near vicinity of the root | |||
| Function plot | |||