Oscillations, period doublings, and chaos in CO oxidation and catalytic mufflers.
Early experimental observations of chaotic behavior arising via the period-doubling route for the CO catalytic oxidation both on Pt(110) and Ptgamma-Al(2)O(3) porous catalyst were reported more than 15 years ago. Recently, a detailed kinetic reaction scheme including over 20 reaction steps was proposed for the catalytic CO oxidation, NO(x) reduction, and hydrocarbon oxidation taking place in a three-way catalyst (TWC) converter, the most common reactor for detoxification of automobile exhaust gases. This reactor is typically operated with periodic variation of inlet oxygen concentration. For an unforced lumped model, we report results of the stoichiometric network analysis of a CO reaction subnetwork determining feedback loops, which cause the oscillations within certain regions of parameters in bifurcation diagrams constructed by numerical continuation techniques. For a forced system, numerical simulations of the CO oxidation reveal the existence of a period-doubling route to chaos. The dependence of the rotation number on the amplitude and period of forcing shows a typical bifurcation structure of Arnold tongues ordered according to Farey sequences, and positive Lyapunov exponents for sufficiently large forcing amplitudes indicate the presence of chaotic dynamics. Multiple periodic and aperiodic time courses of outlet concentrations were also found in simulations using the lumped model with the full TWC kinetics. Numerical solutions of the distributed model in two geometric coordinates with the CO oxidation subnetwork consisting of several tens of nonlinear partial differential equations show oscillations of the outlet reactor concentrations and, in the presence of forcing, multiple periodic and aperiodic oscillations. Spatiotemporal concentration patterns illustrate the complexity of processes within the reactor.
Marek
Milos
M
Department of Chemical Engineering and Center for Nonlinear Dynamics of Chemical and Biological Systems, Institute of Chemical Technology, Prague, Technická 5, 166 28 Prague 6, Czech Republic. Milos.Marek@vscht.cz
Schejbal
Matyás
M
Kocí
Petr
P
Nevoral
Vladislav
V
Kubícek
Milan
M
Hadac
Otto
O
Schreiber
Igor
I
D002248:Carbon Monoxide / Q000737:chemistry*; D002384:Catalysis; D004058:Diffusion; D006838:Hydrocarbons / Q000737:chemistry; D007700:Kinetics; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D009991:Oscillometry; D010100:Oxygen / Q000737:chemistry / Q000378:metabolism; D013598:Systems Theory; D013997:Time Factors
D006838:Hydrocarbons; D002248:Carbon Monoxide; D010100:Oxygen