Quantification of the performance of chaotic micromixers on the basis of finite time Lyapunov exponents

A. Sarkar, A.E. Narváez Salazar, J.D.R. Harting

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    6 Citations (Scopus)
    80 Downloads (Pure)

    Abstract

    Chaotic micromixers such as the staggered herringbone mixer developed by Stroock et al. allow effi- cient mixing of fluids even at low Reynolds number by repeated stretching and folding of the fluid interfaces. The ability of the fluid to mix well depends on the rate at which ‘‘chaotic advection’’ occurs in the mixer. An optimization of mixer geometries is a non-trivial task which is often performed by time consuming and expensive trial and error experiments. In this paper an algorithm is presented that applies the concept of finite-time Lyapunov exponents to obtain a quantitative measure of the chaotic advection of the flow and hence the performance of micromixers. By performing lattice Boltzmann simulations of the flow inside a mixer geometry, introducing massless and noninteracting tracer particles and following their trajectories the finite time Lyapunov exponents can be calculated. The applicability of the method is demonstrated by a comparison of the improved geometrical structure of the staggered herringbone mixer with available literature data.
    Original languageEnglish
    Pages (from-to)19-27
    JournalMicrofluidics and Nanofluidics
    Volume13
    Issue number1
    DOIs
    Publication statusPublished - 2012

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