Dynamics of the Continuous Stirred Tank Reactor with Reactions A → B → C

Abstract The possible combinations of stable and unstable multipe steady states and bifurcating periodic orbits for the continuous stirred tank reactor with consecutive exothermic chemical reactions A → B → C are found by an extensive numerical search. The resulting response diagrams demonstrate the jump phenomena that are possible during the reactor start-up and shut-down, and they serve as a model for the possible dynamics in other reactor problems, e.g. the tubular reactor and catalyst particle. Furthermore, methods similar to the ones used here for lumped parameter systems apply equally well to distributed parameter systems when certain notational changes are made.

[1]  Aubrey B. Poore,et al.  On the theory and application of the Hopf-Friedrichs bifurcation theory , 1976 .

[2]  N. Amundson,et al.  The non‐adiabatic tubular reactor: Stability considerations , 1973 .

[3]  A. B. Poore,et al.  On the dynamic behavior of continuous stirred tank reactors , 1974 .

[4]  A. Poore A model equation arising from chemical reactor theory , 1973 .

[5]  N. Amundson,et al.  An analysis of chemical reactor stability and control—Va Two-phase systems in physical equilibrium—1☆ , 1963 .

[6]  M. Kubíček,et al.  Modelling of chemical reactors—XXVI Multiplicity and stability analysis of a continuous stirred tank reactor with exothermic consecutive reactions A → B → C , 1972 .

[7]  R. F. Heinemann,et al.  Multiplicity, stability, and oscillatory dynamics of the tubular reactor , 1981 .

[8]  Aubrey B. Poore,et al.  The classification of the dynamic behavior of continuous stirred tank reactors—influence of reactor residence time , 1976 .

[9]  J. Dranoff,et al.  Stability analysis of a continuous flow stirred tank reactor with consecutive reactions , 1970 .

[10]  James P. Keener,et al.  Multiplicity and stability of oscillatory states in a continuous stirred tank reactor with exothermic consecutive reactions A → B → C , 1976 .

[11]  D. Luss,et al.  The effect of Lewis number on the stability of a catalytic reaction , 1970 .

[12]  R. Schmitz,et al.  Strange Oscillations in Chemical Reactions—Observations and Models , 1980 .

[13]  S. Hastings,et al.  The influence of the lewis number on the dynamics of chemically reacting systems , 1980 .

[14]  W. H. Ray,et al.  The dynamic behavior of a CSTR: Some comparisons of theory and experiment , 1979 .

[15]  N. Amundson,et al.  Catalytic particle stability studies—II Lumped thermal resistance model☆ , 1967 .

[16]  D. Luss,et al.  Steady-state multiplicity of lumped-parameter systems in which two consecutive or two parallel irreversible first-order reactions occur , 1979 .

[17]  Roger A. Schmitz,et al.  Multiplicity, Stability, and Sensitivity of States in Chemically Reacting Systems—A Review , 1975 .