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      Experimental/Numerical Analysis of Chaotic Advection in a Three-dimensional Cavity Flow


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          Advection of material volumes in a three-dimensional cavity flow is analyzed by using an experimental setup and a collection of computational tools. The experimental setup for the lid-driven cavity flow makes it possible to study the advection of drops for a wide range of flow parameters. The location of unmixed regions for a specific mixing protocol is predicted by means of the mapping method, which are then used to determine the initial location of the dyed drops in the experiments. Finally, an adaptive front tracking method is used to computationally follow the drops during flow in a precise way. In most cases, a qualitative comparison between the experiments and the simulations is found. In addition, the mapping method proves to be well suited to quickly predict unmixed regions in mixers.

          Most cited references34

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          A front-tracking method for viscous, incompressible, multi-fluid flows

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            Laminar mixing and chaotic mixing in several cavity flows

            The objective of this work is an experimental study of laminar mixing in several kinds of two-dimensional cavity flows by means of material line and blob deformation in a new experimental system consisting of two sets of roller pairs connected by belts. The apparatus can be adjusted to produce a range of aspect ratios (0.067–10), Reynolds numbers (0.1–100), and various kinds of flow fields with one or two moving boundaries. Flow visualization is conducted by marking underneath the free surface of the flow with a tracer solution of low diffusivity and of approximately the same density and viscosity as the flowing fluid. The effects of the initial location of the material blob, relative motion of the two bands, and minor changes in the geometry of the flow region are investigated experimentally. The alternate periodic motion of two bands in a cavity flow is an example of a laminar flow which might lead to chaotic mixing. The governing parameter is the dimensionless frequency of oscillation of the walls f which, under the proper conditions, is able to produce horseshoe functions of various types. The deformation of blobs is central to the understanding of mixing and can be studied to identify horseshoe functions. It is found that the efficiency of mixing depends strongly on the value of f and that there exists an optimal value of f that produces the best mixing in a given time.
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              Computations of three‐dimensional Rayleigh–Taylor instability


                Author and article information

                International Polymer Processing
                Carl Hanser Verlag
                : 21
                : 4
                : 412-420
                1 Materials Technology, Dutch Polymer Institute, Eindhoven University of Technology, Eindhoven, The Netherlands
                Author notes
                Mail address: P. D. Anderson, Materials technology, Dutch Polymer Institute, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, the Netherlands. E-mail: p.d.anderson@ 123456tue.nl
                © 2006, Hanser Publishers, Munich
                Page count
                References: 37, Pages: 9
                Self URI (journal page): http://www.hanser-elibrary.com/loi/ipp
                Regular Contributed Articles

                Polymer science,Materials technology,Materials characterization,General engineering,Polymer chemistry


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