Flow, Turbulence and Combustion

, Volume 74, Issue 4, pp 311–329 | Cite as

New Answers on the Interaction Between Polymers and Vortices in Turbulent Flows

  • Yves Dubief
  • Vincent E. Terrapon
  • Christopher M. White
  • Eric S. G. Shaqfeh
  • Parviz Moin
  • Sanjiva K. Lele
Article
First Online:
Accepted:

Abstract

Numerical data of polymer drag reduced flows is interpreted in terms of modification of near-wall coherent structures. The originality of the method is based on numerical experiments in which boundary conditions or the governing equations are modified in a controlled manner to isolate certain features of the interaction between polymers and turbulence. As a result, polymers are shown to reduce drag by damping near-wall vortices and sustain turbulence by injecting energy onto the streamwise velocity component in the very near-wall region.

Keywords

drag reduction turbulence polymer additives 
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Antonia, R.A. and Luxton, R.E., The response of a turbulent boundary layer to a step change in surface roughness. Part 1. Smooth to rough J. Fluid Mech. 48 (1971) 721–761.CrossRefADSGoogle Scholar
  2. 2.
    Antonia, R.A., Kim, J. and Browne, L.W.B., Some characteristics of small-scale turbulence in a turbulent duct flow. J. Fluid Mech. 233 (1981) 369–388.CrossRefADSGoogle Scholar
  3. 3.
    Antonia, R.A., The effect of different types of surface conditions on a turbulent boundary layer. First International Conference of Flow Interaction, Hong-Kong (1994).Google Scholar
  4. 4.
    Antonia, R.A., Antonia, R.A., Zhu, Y. and Sokolov, M., Effect of concentrated wall suction on a turbulent boundary layer. Phys. Fluids 7(10) (1995) 2465–2474.CrossRefADSGoogle Scholar
  5. 5.
    Batchelor, G.K., Small-scale variation of convected quantities like temperature in turbulent fluid. Part 1. General discussion and the case of small conductivity. J. Fluid Mech. 5 (1959) 113–133.MATHCrossRefADSMathSciNetGoogle Scholar
  6. 6.
    Batchelor, G.K., Howells, I.D. and Townsend, A.A., Small-scale variation of convected quantities like temperature in turbulent fluid. Part 1. The case of large conductivity. J. Fluid Mech. 5 (1959) 134–139.MATHCrossRefADSMathSciNetGoogle Scholar
  7. 7.
    De Angelis, E., Casciola, C.M. and Piva, R., DNS of wall turbulence: Dilute polymers and self-sustaining mechanisms. Comp. Fluids 31 (2002) 495–507.CrossRefMATHGoogle Scholar
  8. 8.
    Dimitropoulos, C.D., Sureshkumar, R., Beris, A.N. and Handler, R.A., Budget if Reynolds stress, kinetic energy and streamwise enstrohpy in viscoelastic turbulent channel flow. Phys. Fluids 13(4) (2001) 1016–1027.CrossRefADSGoogle Scholar
  9. 9.
    Bushnell, D.M. and Moore, K.J., Drag reduction in nature. Ann. Rev. Fluid Mech. 23 (1991) 65–79.CrossRefADSGoogle Scholar
  10. 10.
    Djenidi, L., Elavarasan, R. and Antonia, R.A., The turbulent boundary layer over transverse square cavities. J. Fluid Mech. 395 (1999) 271–294.CrossRefMATHADSGoogle Scholar
  11. 11.
    Dubief, Y. and Lele, S.K., Direct numerical simulation of polymer flow. Ann. Res. Briefs, Center for Turbulence Research, 2001, 197–208.Google Scholar
  12. 12.
    Dubief, Y., White, C.M., Terrapon, V.E., Shaqfeh, E.S.G., Moin, P. and Lele, S.K.,On the coherent drag-reducing and turbulence-enhancing behavior of polymers in wall flows. J. Fluid Mech. 514 (2004) 271–280.CrossRefMATHADSGoogle Scholar
  13. 13.
    Hamilton, J.M., Kim, J. and Waleffe, F., Regeneration mechanisms of near-wall turbulence structures. J. Fluid Mech. 287 (1995) 317–348.MATHCrossRefADSGoogle Scholar
  14. 14.
    Herrchen, M. and Öttinger, H.C., A detailed comparison of various FENE dumbbell models. J. Non-Newtonian Fluid Mech. 68 (1997) 17–42.CrossRefGoogle Scholar
  15. 15.
    Jiménez, J. and Moin, P., The minimal flow unit in near-wall turbulence. J. Fluid Mech. 225 (1991) 213–240.CrossRefADSGoogle Scholar
  16. 16.
    Jiménez, J. and Pinelli, A., The autonomous cycle of near-wall turbulence. J. Fluid Mech. 389 (1999) 335–359.CrossRefMATHADSMathSciNetGoogle Scholar
  17. 17.
    Kim, J. and Moin, P., Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comp. Phys. 59 (1985) 308–323.CrossRefMATHADSMathSciNetGoogle Scholar
  18. 18.
    Kim, J., Control of turbulent boundary layers. Phys. Fluids 15(5) (2003) 1093–1105.CrossRefADSMathSciNetGoogle Scholar
  19. 19.
    Lele, S.K., Compact finite difference schemes with spectral-like resolution. J. Comp. Phys. 103 (1992) 16–42.CrossRefMATHADSMathSciNetGoogle Scholar
  20. 20.
    Lumley, J.L., Drag reduction by additives. Ann. Rev. Fluid Mech. 1 (1969) 367–384.CrossRefADSGoogle Scholar
  21. 21.
    Lumley, J.L. and Newman, G.R., The return to isotropy of homogeneous turbulence. J. Fluid Mech. 82 (1977) 161–178.MATHCrossRefADSMathSciNetGoogle Scholar
  22. 22.
    Massah, H. and Hanratty, T.J., Added stresses because of the presence of FENE-P bead-spring chains in a random velocity field. J. Fluid Mech. 337 (1997) 67–101.CrossRefMATHADSGoogle Scholar
  23. 23.
    Min, T., Yoo, J.Y. and Choi, H., Effect of spatial discretization schemes on numerical solutions of viscoelastic fluid flows. J. Non-Newtonian Fluid Mech. 100 (2001) 27–47.CrossRefMATHGoogle Scholar
  24. 24.
    Ptasinski, P.K., Nieuwstadt, F.T.M., Van den Brule, B.H.A.A. and Hulsen, M.A., Experiments in turbulent pipe flow with polymer additives at maximum drag reduction. Flow Turbulence and Combustion 66(2) (2001) 159–182.CrossRefMATHGoogle Scholar
  25. 25.
    Sibilla, S. and Baron, A., Polymer stress statistics in the near-wall turbulent flow of a drag-reducing solution. Phys. Fluids 14(3) (2002) 1123–1136.CrossRefADSGoogle Scholar
  26. 26.
    Sreenivasan, K.R. and White, C.M., The onset of drag reduction by dilute polymer additives and the maximum drag reduction asymptote. J. Fluid Mech. 409 (2000) 149–164.CrossRefMATHADSGoogle Scholar
  27. 27.
    Stone, P.A., Waleffe, F. and Graham, M.D., Toward a structural understanding of turbulent drag reduction: nonlinear coherent states in viscoelastic flows. Phys. Rev. Lett. 89(20) (2002) 208301.CrossRefGoogle Scholar
  28. 28.
    Sureshkumar, R., Beris, A.N. and Handler, R.A., Direct numerical simulations of turbulent channel flow of a polymer solution. Phys. Fluids 9(3) (1997) 743–755.CrossRefADSGoogle Scholar
  29. 29.
    Tabor, M. and De Gennes, P.G., A cascade theory of drag reduction. Europhys. Lett. 2 (1986) 519–522.CrossRefADSGoogle Scholar
  30. 30.
    Terrapon, V.E., Dubief, Y., Moin, P. and Shaqfeh, E.S.G., Brownian dynamics simulation in a turbulent channel flow. ASME Conference, 2003 Joint ASME/JSME Fluids Engineeing Symposium on Friction Drag Reduction, Honolulu, Hawaii, USA, 2003.Google Scholar
  31. 31.
    Terrapon, V.E., Dubief, Y., Moin, P., Shaqfeh, E.S.G. and Lele, S.K., Simulated polymer stretch in a turbulent flow using Brownian dynamics. J. Fluid Mech., 504 (2004) 61–71.CrossRefMATHADSGoogle Scholar
  32. 32.
    Virk, P.S. and Mickley, H.S., The ultimate asymptote and mean flow structures in Tom's phenomenon. Trans. ASME E: J. Appl. Mech. 37 (1970) 488–493.Google Scholar
  33. 33.
    Virk, P.S., Drag reduction fundamentals. AIChE J. 21 (1975) 625–656.CrossRefGoogle Scholar
  34. 34.
    Warholic, M.D., Massah, H. and Hanratty, T.J., Influence of drag-reducing polymers on turbulence: Effects of Reynolds number, concentration and mixing. Exp. Fluids 27 (1999) 461–472.CrossRefGoogle Scholar
  35. 35.
    White, C.M., Somandepalli, V.S.R. and Mungal, M.G., The turbulence structure of drag reduced boundary layer flow. Exp. Fluids, To appear (2004).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • Yves Dubief
    • 1
    • 4
  • Vincent E. Terrapon
    • 2
  • Christopher M. White
    • 2
  • Eric S. G. Shaqfeh
    • 2
    • 3
  • Parviz Moin
    • 1
    • 2
  • Sanjiva K. Lele
    • 2
  1. 1.Center for Turbulence ResearchStanfordUSA
  2. 2.Department of Mechanical EngineeringStanfordUSA
  3. 3.Department of Chemical EngineeringStanfordUSA
  4. 4.Mechanical Engineering DepartmentUniversity of VermontBurlingtonCanada

Personalised recommendations