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Some general observations on tubular reactor stability
Author(s) -
Luss Dan,
Amundson Neal R.
Publication year - 1967
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450450603
Subject(s) - steady state (chemistry) , stability theory , stability (learning theory) , exponential stability , computation , mathematics , diffusion , mathematical analysis , control theory (sociology) , mechanics , physics , thermodynamics , computer science , chemistry , nonlinear system , control (management) , quantum mechanics , algorithm , machine learning , artificial intelligence
A sufficient condition under which a tubular reactor with axial diffusion is globally stable is derived by use of the maximum principle for parabolic equations. It is shown that by use of some topological concepts the asymptotic stability of a steady state can be determined without the necessity of performing any computations. If a unique steady state exists it is asymptotically stable. If three steady states exist, the high and low temperature steady states are asymptotically stable, while the intermediate one is unstable.