|
| << vorige | volgende >> |
Tijdschrift beschrijving
Alle jaargangen van het bijbehorende tijdschrift
Alle afleveringen van het bijbehorende jaargang
Alle artikelen van de bijbehorende aflevering
Details van artikel 5 van 6 gevonden artikelen
| Titel: |
Reaction-diffusion in a simple pooled chemical system |
| Auteur: |
Merkin, J. H. Needham, D. J. |
| Verschenen in: |
Dynamical systems |
| Paginering: | Jaargang 4 (1989) nr. 2 pagina's 141-167 |
| Jaar: |
1989 |
| Inhoud: |
The reaction scheme based on the cubic autocatalator A + 2B→ 3B B → C is considered in a closed vessel with the reactant Abeing replenished by the slow decay of a precursor Pvia the simple step P→A The concentration of Pis assumed to be very much larger than that of the intermediates Aand Bso that the pooled chemical approximation can be made. Spatial variations are allowed for within the vessel and it is assumed that initially the vessel contains only the reactant Pand that at time t¯ = 0 a quantity of B,characterized by the parameter βo; is introduced into some localized region. The long-time behaviour is discussed and it is shown that this depends on the parameters βoand μ(where μis a non-dimensional parameter representing the reaction rates) with the value of the diffusion parameter λ effectively controlling the form of the transient path leading to the final behaviour. Analytic solutions are derived for the cases when βois small and λ is large. These are complemented by numerical solutions for general values of the parameters. It is found that there are three possibilities: a finite equilibrium may be reached with Aand Bhaving constant concentrations, the concentrations of Aand Bmay oscillate, or Bmay die away leaving just the conversion of P to AIn the first two cases it is found that this behaviour is left behind a propagating reaction-diffusion front. The nature of this front is analysed in detail. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 5 van 6 gevonden artikelen
| << vorige | volgende >> |