Continuous chaotic advection

Figure 14.6 Schematic representation of a continuous chaotic advection blender and related control system. Reproduced with permission from D.A. Zumbrunnen and B. Kulshreshtha and A. Dhoble, in Proceedings of the Annual SPE Conference - ANTEC, Boston, MA, USA, 2005, p.238. 2005, SPE)...

Dhoble A, Kulshreshtha B, Ramaswami S, Zumbrunnen DA. Mechanical properties of PP-LDPE blends with novel morphologies produced with a continuous chaotic advection blender. Polymer 2005 46 2244-5 6. 

Chougule V, Zumbrunnen DA. In situ assembly using a continuous chaotic advection blending process of electrically conducting networks in carbon black-thermoplastic extrusions. Chem Eng Sci 2005 60 2459-67. 

Figure 1.9. Schematic representation of the continuous chaotic advection blender. (From Zumbrunnen et al. [71], (2005) Elsevier used with permission.)...

Fig. 1. Induced chaotic motion in a continuous chaotic advection blender (CCB) causes melt domains to become stretched and folded to give rise to baker s transformations. Novel, encapsulated multi-layers form that can also lead to solid additive orientation and promote molecular organization [4]. 

Fig. 7.8 Poincare sections after 2000 cycles. Initially nine marker points were placed along the y axis and six along the x axis. The dimensionless amplitude was 0.5, as in Fig. 7.7. The parameter was the dimensionless period (a) 0.05 (h) 0.10 (c) 0.125 (d) 0.15 (e) 0.20 (f) 0.35 (g) 0.50 (h) 1.0 (i) 1.5. For the smallest values of the time period we see that the virtual marker points fall on smooth curves. The general shape of these curves would he the streamlines of two fixed continuously operating agitators. As the time period increases the virtual marker particles fall erratically and the regions indicate chaotic flow. With increasing time periods larger and larger areas become chaotic. [Reprinted by permission from H. Aref, Stirring Chaotic Advection, J. Fluid Meek, 143, 1-21 (1984).]...

To connect the two markedly different scenarios observed in the static and the well-mixed environments, it is natural to analyze the role of increasing mobility (Reichenbach et al., 2007). Karolyi et al. (2005) studied the above competition model combined with dispersion by a chaotic map that represents advection of fluid elements in the alternating sine-flow. By continuously changing the frequency of the chaotic dispersion as a control parameter, it is possible to follow the transitions between the two limiting situations. When the chaotic mixing is much faster than the local population dynamics, the killer and resistant cells gradually disappear from the population and only the sensitive cells survive. This is because the killer cells... 

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