Liapunov functional method for analysis of nonadiabatic tubular reactors with axial mixing and recycle

Abstract Sufficient conditions for stability of steady state are derived through Liapunov's direct method for a class of distributed-parameter systems and applied to nonadiabatic tubular reactors with axial mixing and recycle (NATRAMAR), for which previously only numerical results have been reported. Several sufficient conditions are presented in terms of system parameters and steady state profiles, system parameters and the exit conditions, or system parameters only. The last conditions involving system parameters only are very convenient since they do not require any solution of differential equations and are particularly useful since they show the manner in which the operating conditions of the reactor affect the stability of steady state.

[1]  N. Amundson,et al.  Uniqueness of the steady state solutions for chemical reactor occurring in a catalyst particle or in a tubular reaction with axial diffusion , 1967 .

[2]  D. Luss.  Sufficient conditions for uniqueness of the steady state solutions in distributed parameter systems , 1968 .

[3]  D. Luss,et al.  On global stability in distributed parameter systems , 1968 .

[4]  Neal R. Amundson,et al.  Chemical reactor stability and sensitivity: II. Effect of parameters on sensitivity of empty tubular reactors , 1956 .

[5]  D. D. Perlmutter,et al.  Tubular reactor steady state and stability characteristics. III. Effect of recycle , 1971 .

[6]  H. Matsuyama.  SUFFICIENT CONDITIONS FOR THE EXISTENCE OF A UNIQUE AND STABLE EQUILIBRIUM STATE OF AN ADIABATIC TUBULAR REACTOR WITH RECYCLE , 1970 .

[7]  Neal R. Amundson,et al.  Some further observations on tubular reactor stability , 1965 .

[8]  N. Amundson,et al.  Some observations on tubular reactor stability , 1964 .

[9]  N. Amundson,et al.  Local stability of tubular reactors , 1973 .

[10]  G. Gavalas.  On the steady states of distributed parameter systems with chemical reactions, heat, and mass transfer , 1966 .

[11]  C. V. Heerden,et al.  The character of the stationary state of exothermic processes , 1958 .

[12]  Tubular reactor steady state and stability characteristics. I. Effect of axial mixing , 1971 .

[13]  Masakazu Matsubara,et al.  Stability conditions for a class of distributed-parameter systems and their applications to chemical reaction systems , 1969 .