A two-stage reaction with initially separated reactants

Stephen M. Cox, Michael J. Clifford and E.P.L. Roberts

Physica A: Statistical Mechanics and its Applications, 1998, vol. 256, issue 1, 65-86

Abstract: A two-stage reaction (A+B→R,B+R→S) is studied, where the reactants A and B lie initially in an array of alternating striations. The product R is desired, and S is an unwanted by-product. A corresponding reaction–diffusion system in one spatial dimension is analysed in two special cases, and comparison is made with numerical simulations of the reaction and diffusion in a periodic array of lamellae for realistic parameter values. For lamellar widths of the order of 1μm or less, diffusion rapidly smears out the lamellar structure, and the yields of R and S are nearly equal to those in a spatially homogeneous, well-mixed system. For thicker lamellae, of around one millimetre in width, the yields are significantly different in the lamellar case from the well-mixed case. The differences are quantified and discussed.

Keywords: Reaction–diffusion; Mixing; Two-stage reaction (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:256:y:1998:i:1:p:65-86

DOI: 10.1016/S0378-4371(98)00091-0

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