Simulation of topological chaos in laminar flows.
In the present study the immersed boundary method is used for numerical simulation of Stokes-flow mixing driven by stirrers moving in a such way that trajectories of the stirrers form a "braid" in the augmented phase space. It is demonstrated that topologically more complex flow can be a more effective blender than its topologically simpler counterpart with the same energy dissipation rate. Positions of elliptic periodic points are detected and it is demonstrated that the total area of unmixed islands is negligible in comparison with the area of the cavity. Matrix representation of a mixing protocol provides a good estimation for the stretching rate.
Vikhansky
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Department of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge CB2 3RA, United Kingdom. av277@cam.ac.uk
D002498:Centrifugation / Q000379:methods*; D003198:Computer Simulation; D008962:Models, Theoretical; D009038:Motion; D017711:Nonlinear Dynamics; D011312:Pressure; D012212:Rheology / Q000379:methods*