Gong Yubing, Xu Qiang, Yang Chuanlu. Differential Flow-Induced Chemical Instability in Low-Concentration Brusselator[J]. Chinese Journal of Chemical Physics , 2002, 15(6): 443-446. doi: 10.1088/1674-0068/15/6/443-446
Citation: Gong Yubing, Xu Qiang, Yang Chuanlu. Differential Flow-Induced Chemical Instability in Low-Concentration Brusselator[J]. Chinese Journal of Chemical Physics , 2002, 15(6): 443-446. doi: 10.1088/1674-0068/15/6/443-446

Differential Flow-Induced Chemical Instability in Low-Concentration Brusselator

doi: 10.1088/1674-0068/15/6/443-446
  • Received Date: 2002-01-15
  • 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.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Differential Flow-Induced Chemical Instability in Low-Concentration Brusselator

doi: 10.1088/1674-0068/15/6/443-446

Abstract: 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.

Gong Yubing, Xu Qiang, Yang Chuanlu. Differential Flow-Induced Chemical Instability in Low-Concentration Brusselator[J]. Chinese Journal of Chemical Physics , 2002, 15(6): 443-446. doi: 10.1088/1674-0068/15/6/443-446
Citation: Gong Yubing, Xu Qiang, Yang Chuanlu. Differential Flow-Induced Chemical Instability in Low-Concentration Brusselator[J]. Chinese Journal of Chemical Physics , 2002, 15(6): 443-446. doi: 10.1088/1674-0068/15/6/443-446

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