We investigate the origin of deterministic chaos in the Belousov-Zhabotinsky (BZ) reaction carried out in closed and unstirred reactors (CURs). In detail, we develop a model on the idea that hydrodynamic instabilities play a driving role in the transition to chaotic dynamics. A set of partial differential equations were derived by coupling the two variable Oregonator-diffusion system to the Navier-Stokes equations. This approach allows us to shed light on the correlation between chemical oscillations and spatial-temporal dynamics. In particular, numerical solutions to the corresponding reaction-diffusion-convection (RDC) problem show that natural convection can change the evolution of the concentration distribution as well as oscillation patterns. The results suggest a new way of perceiving the BZ reaction when it is conducted in CURs. In conflict with the common experience, chemical oscillations are no longer a mere chemical process. Within this framework the evolution of all dynamical observables are demonstrated to converge to the regime imposed by the RDC coupling: chemical and spatial-temporal chaos are genuine manifestations of the same phenomenon.

On the Origin of Chaos in the Belousov-Zhabotinsky Reaction in Closed and Unstirred Reactors / Budroni, Ma; Rustici, Mauro; Tiezzi, E.. - In: MATHEMATICAL MODELLING OF NATURAL PHENOMENA. - ISSN 0973-5348. - 6:(2011), pp. 226-242. [10.1051/mmnp/20116112]

On the Origin of Chaos in the Belousov-Zhabotinsky Reaction in Closed and Unstirred Reactors

Budroni MA;RUSTICI, Mauro;
2011

Abstract

We investigate the origin of deterministic chaos in the Belousov-Zhabotinsky (BZ) reaction carried out in closed and unstirred reactors (CURs). In detail, we develop a model on the idea that hydrodynamic instabilities play a driving role in the transition to chaotic dynamics. A set of partial differential equations were derived by coupling the two variable Oregonator-diffusion system to the Navier-Stokes equations. This approach allows us to shed light on the correlation between chemical oscillations and spatial-temporal dynamics. In particular, numerical solutions to the corresponding reaction-diffusion-convection (RDC) problem show that natural convection can change the evolution of the concentration distribution as well as oscillation patterns. The results suggest a new way of perceiving the BZ reaction when it is conducted in CURs. In conflict with the common experience, chemical oscillations are no longer a mere chemical process. Within this framework the evolution of all dynamical observables are demonstrated to converge to the regime imposed by the RDC coupling: chemical and spatial-temporal chaos are genuine manifestations of the same phenomenon.
On the Origin of Chaos in the Belousov-Zhabotinsky Reaction in Closed and Unstirred Reactors / Budroni, Ma; Rustici, Mauro; Tiezzi, E.. - In: MATHEMATICAL MODELLING OF NATURAL PHENOMENA. - ISSN 0973-5348. - 6:(2011), pp. 226-242. [10.1051/mmnp/20116112]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11388/85457
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