Oscillatory Instability of a Plug Flow Reactor: A Heterogeneous Liquid-Liquid System

A mathematical model of the dynamic behavior of a heterogeneous liquid-liquid reaction system in a plug flow reactor is formulated. Numerical investigation of the oscillatory instability of the reactor is carried out. The region of oscillatory regimes in a parametric space is examined for the Semenov parameter — the temperature at the entrance to the reactor. A hard birth of low-frequency high-amplitude oscillations is detected. The death of these oscillations and occurrence of high-frequency low-amplitude oscillations is analyzed. A model of this phenomenon based on the classical theory of stability of systems described by systems of ordinary differential equations is proposed.