Mixing in a Microfluid Device

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.