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Enhancement of mixing by rodlike polymers

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Abstract.

We study the mixing of a passive scalar field dispersed in a solution of rodlike polymers in two dimensions, by means of numerical simulations of a rheological model for the polymer solution. The flow is driven by a parallel sinusoidal force (Kolmogorov flow). Although the Reynolds number is lower than the critical value for inertial instabilities, the rotational dynamics of the polymers generates a chaotic flow similar to the so-called elastic-turbulence regime observed in extensible polymer solutions. The temporal decay of the variance of the scalar field and its gradients shows that this chaotic flow strongly enhances mixing.

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References

  1. T.M. Squires, S.R. Quake, Rev. Mod. Phys. 77, 977 (2005)

    Article  ADS  Google Scholar 

  2. A. Groisman, V. Steinberg, Nature 405, 53 (2000)

    Article  ADS  Google Scholar 

  3. A. Groisman, V. Steinberg, Nature 410, 905 (2001)

    Article  ADS  Google Scholar 

  4. E.L.C. VI M. Plan, S. Musacchio, D. Vincenzi, Phys. Rev. E 96, 053108 (2017)

    Article  ADS  Google Scholar 

  5. S. Berti, A. Bistagnino, G. Boffetta, A. Celani, S. Musacchio, Phys. Rev. E 77, 055306 (2008)

    Article  ADS  Google Scholar 

  6. M. Doi, S.F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1988)

  7. R. Sureshkumar, A.N. Beris, J. Non-Newton. Fluid Mech. 60, 53 (1995)

    Article  Google Scholar 

  8. Y. Amarouchene, D. Bonn, H. Kellay, T.S. Lo, V.S. L’vov, I. Procaccia, Phys. Fluids 20, 065108 (2008)

    Article  ADS  Google Scholar 

  9. I. Procaccia, V.S. L’vov, R. Benzi, Rev. Mod. Phys. 80, 225 (2008)

    Article  ADS  Google Scholar 

  10. S. Musacchio, G. Boffetta, Phys. Rev. E 89, 023004 (2014)

    Article  ADS  Google Scholar 

  11. E. Balkovsky, A. Fouxon, Phys. Rev. E 60, 4164 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  12. P.H. Haynes, J. Vanneste, Phys. Fluids 17, 097103 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  13. J. Sukhatme, R.T. Pierrehumbert, Phys. Rev. E 66, 056302 (2002)

    Article  ADS  MathSciNet  Google Scholar 

Download references

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Authors and Affiliations

  1. Université Côte d’Azur, CNRS, LJAD, Nice, France

    Stefano Musacchio & Dario Vincenzi

  2. Istituto dei Sistemi Complessi, CNR, via dei Taurini 19, 00185, Roma, Italy

    Massimo Cencini

  3. INFN, Sezione di Roma Tor Vergata, via della Ricerca Scientifica 1, 00133, Roma, Italy

    Massimo Cencini

  4. Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1, 3PU, UK

    Emmanuel L. C. VI M. Plan

Authors
  1. Stefano Musacchio
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  2. Massimo Cencini
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  3. Emmanuel L. C. VI M. Plan
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  4. Dario Vincenzi
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Correspondence to Stefano Musacchio.

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Musacchio, S., Cencini, M., Plan, E.L.C.V.M. et al. Enhancement of mixing by rodlike polymers. Eur. Phys. J. E 41, 84 (2018). https://doi.org/10.1140/epje/i2018-11692-9

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  • DOI: https://doi.org/10.1140/epje/i2018-11692-9

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