Travelling waves in a differential flow reactor with simple autocatalytic kinetics

摘要: A simple prototype model for a differential flow reactor in which the possible initiation and propagation of reaction-diffusion-convection travelling-wave solution (TWS) isothermal autocatalytic system A+mB→ (m+1)B, rate kabm (m ≥ 1) is studied with special attention being paid to most realistic cases (m=1,2). The physical problem considered such that reactant (present initially at uniform concentration) immobilised within reactor. reaction then initiated by allowing autocatalyst species enter through region constant velocity. structure permanent-form travelling waves supported obtained valid when (of autocatalyst) very large. General properties corresponding initial-value (IVP) are derived it shown TWS only long-time solutions system. Finally, these results complemented numerical IVP confirm analytical allow influence parameters not accessible theoretical analysis be determined.