| Name: | Oneeq18a - Stability of Batch Fluidized Catalytic Reactor-Correct Formulation | ||
| Source: | Luss, D. and Amundson, N. R., AIChE J.,14(2), 211 (1968) | ||
| Reference/s | Cutlip, M. B. and Shacham, M, Problem Solving in Chemical | ||
| Engineering with Numerical Methods, Prentice Hall Inc., 1999 | |||
| Model: | 1 implicit equation, indep. variable name: T | ||
| Lower difficulty level | |||
| Constraints: T>0 | |||
| Discontinuities: none in the range of interest | |||
| Initial range:Tmin=500, Tmax=1000 | |||
| Solved by | Shacham, M., POLYMATH 5.1, build 19, March 12, 2001 | ||
| Model Eqs. | Stability of Batch Fluidized Catalytic Reactor-Correct Formulation |POLVER05_1 | ||
| f(T)=1.296*(T-Tp)+10369*k*Pp # | |||
| Tp=(269.267*T-1752)/266.667 # | |||
| k=0.0006*exp(20.7-15000/Tp) # | |||
| Pp=-(0.1/(321*(320/321-(1+k)))) # | |||
| P=(320*Pp+0.1)/321 # | |||
| T(min)=500, T(max)=1000 | |||
| Variable/function values | Variable | Value | f(x) |
| T | 750 | -4.6639E-02 | |
| Tp | 750.7424991 | ||
| k | 0.001232389 | ||
| Pp | 0.071653926 | ||
| P | 0.071742231 | ||
| Variable | Value | f(x) | |
| Root1 | T | 690.4486645013260 | 1.2275E-10 |
| Tp | 690.6105387778710 | ||
| k | 0.000216376044624 | ||
| Pp | 0.093505421055974 | ||
| P | 0.093525653389132 | ||
| Root2 | T | 758.3286948959860 | 9.3498E-10 |
| Tp | 759.1523986415920 | ||
| k | 0.001537712444493 | ||
| Pp | 0.066952074671403 | ||
| P | 0.067055027709809 | ||
| Root3 | T | 912.7964911381540 | -6.6658E-10 |
| Tp | 915.1262540145470 | ||
| k | 0.044611579255398 | ||
| Pp | 0.006527280106882 | ||
| P | 0.006818472380692 | ||
| Function plot | |||