Analysis of the Mechanism for Chaotic Mixing in Oscillatory Flow Microfluidic Devices
Frederick R. Phelan Jr., N R. Hughes, Jai A. Pathak
Flow in a cross channel mixer has been explored as a model system for mixing fluids in microfluidic devices using oscillatory flow boundary conditions, via numerical simulation of the unsteady Navier-Stokes equations. Calculations for purely oscillatory motion show that chaotic flow can be achieved in which Lagrangian particles orbit on an attractor whose size and characteristics are determined by a Strouhal number. The flow generated in the device by this means shows two characteristics of chaos: a positive effective Lyapunov exponent and stretching and folding of materials lines leading to dispersion.
Physical Review Letters
chaos, finite element method, lyapunov exponent, microfluidics, mixing, ocillatory flow
Phelan Jr., F.
, Hughes, N.
and Pathak, J.
Analysis of the Mechanism for Chaotic Mixing in Oscillatory Flow Microfluidic Devices, Physical Review Letters
(Accessed August 9, 2022)