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Local stability of tubular reactors
Author(s) -
Clough David E.,
Fred Ramirez W.
Publication year - 1972
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.690180223
Subject(s) - adiabatic process , steady state (chemistry) , stability (learning theory) , nonlinear system , parametric statistics , mathematics , péclet number , quadratic equation , multiplicity (mathematics) , dispersion (optics) , mechanics , stability conditions , control theory (sociology) , thermodynamics , chemistry , mathematical analysis , physics , geometry , computer science , statistics , control (management) , quantum mechanics , machine learning , artificial intelligence , optics , discrete time and continuous time
Liapunov analysis techniques employing a general quadratic functional are used to derive stability conditions for tubular reactor systems. The adiabatic tubular reactor without axial dispersion is shown to be locally stable, which excludes the possibility of multiple steady states, and the reactor with axial dispersion is proven locally stable if a condition involving only system parameters and steady state values is satisfied. Peclet numbers for heat and mass transfer are not specified equal for the latter proof. Results of simulation studies are used to confirm the validity of the derived stability condition, and it is shown that the parametric region of multiplicity is quite well defined. For the nonlinear equations, single steady state cases appear to possess nonuniform stability.