Differential Flow-Induced Chemical Instability in Low-Concentration Brusselator

The reaction-flow-diffusion equation for low-concentration Brusselator is developed and the existence condition for differential flow-induced chemical instability for the model is theoretically analyzed by means of linear stability analysis and the method of steepest descent. The neutral valueФc of flow rateФof autocatalyticy and the group velocity v go perturbation wave packet are derived. The relations of flow rate Фto the perturbation growth rate Reλ is discussed. The temporal structure at different time τ (fixed Ф) and spatial structure with different Ф (fixe dτ) of the system while instability exhibits (Ф>Фc) is numerically studied, respectively. It is shown that the differential flow-induced chemical instability may exhibit and the perturbations propagate along the reactor in terms of periodic wave packet. It is proved that under the condition of low concentration for chemical reactions, the differential flow-induced chemical instability may also exhibit.