# 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