Steady states and oscillations in homogeneous—heterogeneous reaction systems

✍ Scribed by X. Song; L.D. Schmidt; R. Aris

• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 1022 KB
• Volume: 46
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(91)85049-4

✦ Synopsis

The multiplicity and stability of steady states and the oscillatory behavior of a simple homogeneous-heterogeneous (HH) reaction model are considered: the heterogeneous reaction occurs at a planar surface and a homogeneous reaction in a stagnant boundary layer above it. Such a system is described by two nonlinear parabolic differential equations with homogeneous or heterogeneous reaction only, and of HH reactions, is discussed and classified in parameter space. In the coupled situation (HH). up to five steady states have been found even for two first-order reactions while only three steady states are found for uncoupled cases. It is shown that the Lewis number, the ratio of the mass transport time constant to the thermal transport time constant, plays a crucial role in the Hopf bifurcation and the oscillatory behavior for all the cases, and that the coupled case can have larger parameter regions.