Abstract
The influence of segregation on the yield of the series–parallel reaction system A+ B→ R, B+ R→ S is studied. The reactants A and B are initially assumed to be in a periodic array of alternating lamellae and the reaction and diffusion processes are then followed by numerical simulation. We find that the ultimate yield of R can be significantly reduced when compared with the well-mixed case, if the scale of segregation is large. By comparison with the well-mixed case, it is possible to correlate the ultimate yield of R as a function of a Damköhler number based on both reaction rate constants and the lamellar width. This correlation is a weak function of the ratio of the rate constants and the relative amounts of A and B present at the start of the reaction.
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