| Summary: | 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.
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