Mixing in a Microfluid Device

Poul G. Hjorth, Mikhail Deryabin

    Research output: Contribution to conferencePaperResearchpeer-review

    Abstract

    Mixing of fluids in microchannels cannot rely on turbulence since the flow takes place at extremly low Reynolds numbers. Various active and passive devices have been developed to induce mixing in microfluid flow devices. We describe here a model of an active mixer where a transverse periodic flow interacts with the main flow in $\mathbb{R}^2$. We develop a Hamiltonian description of the dynamics. We prove nonintegrability of the system, describe adiabatic invariants, show the existence of KAM-tori, and examine some specific solutions.
    Original languageEnglish
    Publication date2005
    Publication statusPublished - 2005
    EventSociety of Industrial and Applied Mathematics : Applications of Dynamical Systems - Snowbird, Utha, USA
    Duration: 1 Jan 2005 → …

    Conference

    ConferenceSociety of Industrial and Applied Mathematics : Applications of Dynamical Systems
    CitySnowbird, Utha, USA
    Period01/01/2005 → …

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