Bifurcations in an adiabatic gas-liquid CSTR

Abstract

The state of a gas-liquid CSTR may be described by three-state-variables, concentrations of liquid and gaseous reactants in the liquid phase and the reactor temperature. Based on this full three-state-variable model, it is proved that the exotic bifurcation forms such as isola, mushroom and inverted s-shape cannot be displayed by an adiabatic gas-liquid CSTR. Thus, the only temperature versus liquid residence lime bifurcation form possible is the monotonically increasing s-shaped multiplicity. Further, it is shown that Hopf bifurcation cannot occur if the concentration of gaseous reactant is the liquid phase is vanishingly small. This rules out the possibility of oscillations in the fast and instantaneous reaction regimes.