Chaotic mixing of a competitive-consecutive reaction

Cox, Stephen M.

Abstract

The evolution of a competitive-consecutive chemical reaction is
computed numerically in a two-dimensional chaotic fluid flow with
initially segregated reactants. Results from numerical simulations are
used to evaluate a variety of reduced models commonly adopted to model
the full advection-reaction-diffusion problem. Particular emphasis is
placed upon fast reactions, where the yield varies most significantly
with Peclet number (the ratio of diffusive to advective time scales).
When effects of the fluid mechanical mixing are strongest, we find that
the yield of the reaction is underestimated by a one-dimensional
lamellar model that ignores the effects of fluid mixing, but
overestimated by two other lamellar models that include fluid mixing.

Citation

Cox, S. M. (2004). Chaotic mixing of a competitive-consecutive reaction. Physica D: Nonlinear Phenomena, 199(3-4), 369-386. https://doi.org/10.1016/j.physd.2004.08.030

• Journal Article Type: Article
• Acceptance Date: Aug 10, 2004
• Online Publication Date: Aug 17, 2004
• Publication Date: Dec 15, 2004
• Deposit Date: Oct 23, 2007
• Publicly Available Date: Oct 23, 2007
• Journal: Physica D
• Print ISSN: 0167-2789
• Electronic ISSN: 0167-2789
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 199
• Issue: 3-4
• Pages: 369-386
• DOI: https://doi.org/10.1016/j.physd.2004.08.030
• Keywords: Chaotic advection; Competitive–consecutive chemical reaction; Series–parallel chemical reaction; Reaction–diffusion system
• Public URL: https://nottingham-repository.worktribe.com/output/703270
• Publisher URL: http://www.sciencedirect.com/science/journal/01672789