Lamellar modelling of reaction, diffusion and mixing in a two-dimensional flow

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

    Research output: Contribution to journalArticlepeer-review


    We present a one-dimensional model of reaction, diffusion and mixing in a two-dimensional flow. The model assumes that initially segregated reactants are stretched and folded into a lamellar structure. Reaction and diffusion are simulated within this one-dimensional lamellar array. The lamellae are assumed to have a uniform thickness. Mixing is included as a single parameter i.e. the average stretch rate of the flow. Results are compared with full two-dimensional simulations of the concentration fields. Given the very simple nature of the dimensional model and the complexity of the full system, remarkably good agreement is obtained with a considerable saving in computational effort. For a competitive-consecutive reaction the predicted yields agree to within 6%. A typical one-dimensional simulation on a Silicon Graphics R5000 workstation takes around 1 min compared to 25 h on a 1024-node nCUBE 2 parallel computer for the concentration field simulations. The one-dimensional lamellar simulations are not limited by the relative rates of diffusion, reaction and advection, and are generally applicable to complex two-dimensional and, in principle, three-dimensional flows.
    Original languageEnglish
    Pages (from-to)49-56
    Number of pages7
    JournalChemical Engineering Journal
    Issue number1
    Publication statusPublished - 1 Nov 1998


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