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    Mixing by stirring: Optimizing shapes and strategies

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    Type
    Article
    Authors
    Eggl, Maximilian F. cc
    Schmid, Peter J. cc
    KAUST Department
    Department of Mechanical Engineering, KAUST, Thuwal 23955, Saudi Arabia
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2022-07-27
    Permanent link to this record
    http://hdl.handle.net/10754/680261
    
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    Abstract
    The mixing of binary fluids by stirrers is a commonplace procedure in many industrial and natural settings, and mixing efficiency directly translates into more homogeneous final products, more enriched compounds, and often substantial economic savings in energy and input ingredients. Enhancements in mixing efficiency can be accomplished by unorthodox stirring protocols as well as modified stirrer shapes that utilize unsteady hydrodynamics and vortex-shedding features to instigate the formation of fluid filaments which ultimately succumb to diffusion and produce a homogeneous mixture. We propose a PDE-constrained optimization approach to address the problem of mixing enhancement for binary fluids. Within a gradient-based framework, we target the stirring strategy as well as the cross-sectional shape of the stirrers to achieve improved mixedness over a given time horizon and within a prescribed energy budget. The optimization produces a significant enhancement in homogeneity in the initially separated fluids, suggesting promising modifications to traditional stirring protocols.
    Citation
    Eggl, M. F., & Schmid, P. J. (2022). Mixing by stirring: Optimizing shapes and strategies. Physical Review Fluids, 7(7). https://doi.org/10.1103/physrevfluids.7.073904
    Sponsors
    We gratefully acknowledge discussions and exchanges with Prof. C. Caulfield, Prof. J.-L. Thiffeault, Prof. K. Schneider, and Dr. F. Marcotte. M.F.E. gratefully acknowledges funding through the Joachim Herz Stiftung.
    Publisher
    American Physical Society (APS)
    Journal
    PHYSICAL REVIEW FLUIDS
    DOI
    10.1103/PhysRevFluids.7.073904
    arXiv
    2108.07064
    Additional Links
    https://link.aps.org/doi/10.1103/PhysRevFluids.7.073904
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevFluids.7.073904
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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