FM22L_11293:Wed:0930:327
XXI International Congress of Theoretical and Applied Mechanics
Warsaw, Poland, August 15-21, 2004

On the Design of 3D Micromixers Having the Bernoulli Property

Stephen Wiggins (1), Julio M. Ottino (2)
1. School of Mathematics, University of Bristol, Bristol, UK
2. Northwestern University, Illinois, USA


In dynamical systems theory a hierarchy of characterisations of mixing exist Bernoulli -> mixing ->ergodic, ordered according to the quality of mixing (the strongest first). We consider micromixers whose flows take one of two forms: 2D blinking flows, or 3D duct flows. We show that these types of flows can be reduced to so-called linked twist maps (LTMs). LTMs can be shown to possess the Bernoulli property of mixing under certain conditions. Hence, conditions can be specified for a large class of micromixers guaranteeing the best quality mixing. Extensions of these concepts lead to first principle-based designs without resorting to lengthy computations.



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