Oneeq18a

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

EXCEL FILE  

f(T)=1.296*(T-Tp)+10369*k*Pp #

TEXT FILE 

Tp=(269.267*T-1752)/266.667 #

POLYMATH FILE 

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