Abstract
A dynamic model is set up for a non-adiabatic gas—liquid continuous stirred tank reactor (CSTR) with fast pseudo-first-order reactions. For exothermic reactions, analytic necessary and sufficient criteria are obtained for steady-state uniqueness and multiplicity. The multiplicity patterns thus obtained are shown to be consistent with previous experimental results; this indicates applicability of the model to describe steady-state uniqueness and multiplicity of actual gas—liquid CSTRs. A new type of multiplicity pattern, called ‘persistent multiplicity’ is identified and a previous experimental observation is thus recognized. Stability analysis is carried out to provide necessary and sufficient conditions for local stability of steady states; it is found that the occurrence of limit cycles is usually not possible, at least for the reaction system of this work.
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