Mixing in a Microfluid Device

Poul G. Hjorth; Mikhail Deryabin

Mixing in a Microfluid Device

University of Southern Denmark

Research output: Contribution to conference › Paper › Research › peer-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 language	English
Publication date	2005
Publication status	Published - 2005
Event	Society of Industrial and Applied Mathematics : Applications of Dynamical Systems - Snowbird, Utha, USA Duration: 1 Jan 2005 → …

Conference

Conference	Society of Industrial and Applied Mathematics : Applications of Dynamical Systems
City	Snowbird, Utha, USA
Period	01/01/2005 → …

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AU - Deryabin, Mikhail

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N2 - 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.

AB - 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.

M3 - Paper

T2 - Society of Industrial and Applied Mathematics : Applications of Dynamical Systems

Y2 - 1 January 2005

ER -

Mixing in a Microfluid Device

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