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Compact Model of a Laminar Micro Mixer

C. Cupelli, P. Koltay, R. Zengerle and M. Santer
University of Freiburg, DE

Keywords:
compact model, micromixer, split-and-recombine, microfluidics

Abstract:
In this paper we discuss a novel approach towards a system-level description for microreactors. In particular, a compact model for laminar micromixers for fluids with different viscosities is presented. We show how the well known principle of laminar Split-and-Recombine mixing can be modelled by three elementary geometrical building blocks each of which is treated as separate compact model. This way, the analytical and numerical treatment can be reduced to multi-laminar flow in straight channels with square cross sections to a good approximation. The presented model reliably predicts the flow field, the fluidic resistances and the hydrodynamic spreading within the mixer. The model is validated in comparison with experiments and computational fluid dynamics (CFD-simulations) for viscosity ratios as large as 1:20.

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