Premium
Controlling chaos by periodic perturbations in nonisothermal fluidized‐bed reactor
Author(s) -
Ajbar Abdelhamid,
Elnashaie S. S. E. H.
Publication year - 1996
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690421103
Subject(s) - forcing (mathematics) , amplitude , chaotic , bifurcation , control theory (sociology) , exothermic reaction , parametric statistics , mechanics , fluidized bed , nonlinear system , mathematics , thermodynamics , physics , mathematical analysis , computer science , control (management) , statistics , quantum mechanics , artificial intelligence
A two‐phase model of a nonisothermal fluidized‐bed catalytic reactor with consecutive exothermic reactions makes it possible to control the chaotic behavior by small parametric perturbations of an input variable with suitable frequency and amplitude. By periodic forcing of the feed temperature the chaotic behavior of the autonomous system can be controlled and become periodic even for small amplitudes of forcing. For constant frequency with change in forcing amplitudes the behavior of the system alternates between periodic and chaotic regimes via period doubling and period adding bifurcation mechanisms. When the amplitude is fixed, regular patterns also appear with small changes in the forcing frequency. Appropriate selection of the forcing frequency can improve the yield of the desired intermediate component in the consecutive reactions network A → B → C.