| Name: | Oneeq18b - Stability of Batch Fluidized Catalytic Reactor - Rounded Numbers | ||
| Source: | Luss, D. and Amundson, N. R., AIChE J.,14(2), 211 (1968) | ||
| Reference/s | N. Brauner, M. Shacham and M. Cutlip, Chem. Eng. Educ., 30 (1), 20-25 (1996). | ||
| 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=1500 | |||
| Solved by | Shacham, M., POLYMATH 5.1, build 19, March 13, 2001 | ||
| Model Eqs. | Stability of Batch Fluidized Catalytic Reactor - Rounded Numbers |POLVER05_1 | ||
| f(T)=1.3*(T-Tp)+1.04e4*k*Pp # | |||
| Tp=(269*T-1752)/267 # | |||
| 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)=1500 | |||
| Variable/function values | Variable | Value | f(x) |
| T | 1000 | 1.9778E+00 | |
| Tp | 1000.928839 | ||
| k | 0.181833972 | ||
| Pp | 0.001684389 | ||
| P | 0.001990668 | ||
| Variable | Value | f(x) | |
| Root | T | 1208.2863599396200 | 1.2657E-13 |
| Tp | 1210.7753963436600 | ||
| k | 2.441625209179300 | ||
| Pp | 0.000127427218990 | ||
| P | 0.000438556729211 | ||
| Additional Information | This is the same equation as in 18a but some of the | ||
| parameters are rounded. Consequently the equation has | |||
| only one solution very different from any solution in 18a | |||
| Function plot | |||