Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 1
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Xiong, Y.L. Bruneau, C.H. and Kellay, H. 2013. A numerical study of two dimensional flows past a bluff body for dilute polymer solutions. Journal of Non-Newtonian Fluid Mechanics, Vol. 196, p. 8.

  • Journal of Fluid Mechanics, Volume 693
  • February 2012, pp. 297-318

Effects of viscoelasticity in the high Reynolds number cylinder wake

  • David Richter (a1), Gianluca Iaccarino (a1) and Eric S. G. Shaqfeh (a1)
  • DOI:
  • Published online: 16 January 2012

At , Newtonian flow past a circular cylinder exhibits a wake and detached shear layers which have transitioned to turbulence. It is the goal of the present study to investigate the effects which viscoelasticity has on this state and to identify the mechanisms responsible for wake stabilization. It is found through numerical simulations (employing the FENE-P rheological model) that viscoelasticity greatly reduces the amount of turbulence in the wake, reverting it back to a state which qualitatively appears similar to the Newtonian mode B instability which occurs at lower . By focusing on the separated shear layers, it is found that viscoelasticity suppresses the formation of the Kelvin–Helmholtz instability which dominates for Newtonian flows, consistent with previous studies of viscoelastic free shear layers. Through this shear layer stabilization, the viscoelastic far wake is then subject to the same instability mechanisms which dominate for Newtonian flows, but at far lower Reynolds numbers.

Corresponding author
Email address for correspondence:
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

2.J. Azaiez & G. Homsy 1994b Numerical simulation of non-Newtonian free shear flows at high Reynolds numbers. J. Non-Newtonian Fluid Mech. 52, 333374.

4.C. Bergins , M. Nowak & M. Urban 2001 The flow of a dilute cationic surfactant solution past a circular cylinder. Exp. Fluids 30, 410417.

7.G. L. Chahine , G. F. Frederick & R. D. Bateman 1993 Propeller tip vortex cavitation suppression using selective polymer injection. J. Fluids Engng 115, 497503.

9.P. Coelho & F. Pinho 2003b Vortex shedding in cylinder flow of shear-thinning fluids. Part II. Flow characteristics. J. Non-Newtonian Fluid Mech. 110, 177193.

10.P. M. Coelho & F. T. Pinho 2004 Vortex shedding in cylinder flow of shear-thinning fluids. Part III. Pressure measurements. J. Non-Newtonian Fluid Mech. 121, 5568.

12.C. Dimitropoulos , R. Sureshkumar & A. Beris 1998 Direct numerical simulation of viscoelastic turbulent channel flow exhibiting drag reduction: effect of the variation of rheological parameters. J. Non-Newtonian Fluid Mech. 79, 433468.

13.C. Dimitropoulos , R. Sureshkumar , A. Beris & R. Handler 2001 Budgets of Reynolds stress, kinetic energy and streamwise enstrophy in viscoelastic turbulent channel flow. Phys. Fluids 13 (4), 10161027.

14.Y. Dubief , V. E. Terrapon , C. M. White , E. S. G. Shaqfeh , P. Moin & S. K. Lele 2005 New answers on the interaction between polymers and vortices in turbulent flows. Flow Turbul. Combust. 74 (4), 311329.

16.D. H. Fruman , T. Pichon & P. Cerrutti 1995 Effect of a drag-reducing polymer solution ejection on tip vortex cavitation. J. Mar. Sci. Technol. 1, 1323.

17.M. Hibberd , M. Kwade & R. Scharf 1982 Influence of drag reducing additives on the structure of turbulence in a mixing layer. Rheol. Acta 21, 582586.

18.H. Kato & Y. Mizuno 1983 An experimental investigation of viscoelastic flow past a circular cylinder. Bull. Japan Soc. Mech. Engineers 26 (214), 529536.

21.A. Kravchenko & P. Moin 2000 Numerical studies of flow over a circular cylinder at ${Re}_{D} = 3900$. Phys. Fluids 12 (2), 403417.

22.S. Kumar & G. Homsy 1999 Direct numerical simulation of hydrodynamic instabilities in two- and three-dimensional viscoelastic free shear layers. J. Non-Newtonian Fluid Mech. 83, 249276.

24.X. Ma , V. Symeonidis & G. Karniadakis 2003 A spectral vanishing viscosity method for stabilizing viscoelastic flows. J. Non-Newtonian Fluid Mech. 115, 125155.

25.S. Ogata , Y. Osano & K. Watanabe 2006 Effect of surfactant solutions on the drag and the flow pattern of a circular cylinder. AIChE J. 52 (1), 4957.

26.L. Ong & J. Wallace 1996 The velocity field of the turbulent very near wake of a circular cylinder. Exp. Fluids 20, 441453.

27.P. Parnaudeau , J. Carlier , D. Heitz & E. Lamballais 2008 Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3900. Phys. Fluids 20 (8), 114.

32.D. Richter , E. S. G. Shaqfeh & G. Iaccarino 2011 Floquet stability analysis of viscoelastic flow over a cylinder. J. Non-Newtonian Fluid Mech. 166, 554565.

36.F. Sausset , O. Cadot & S. Kumar 2004 Experimental observation of frequency doubling in a viscoelastic mixing layer. C. R. Mechanique 332, 10011006.

37.P. Stone , A. Roy , R. Larson , F. Waleffe & M. Graham 2004 Polymer drag reduction in exact coherent structures of plane shear flow. Phys. Fluids 16 (9), 34703482.

38.R. Sureshkumar , A. N. Beris & R. A. Handler 1997 Direct numerical simulation of the turbulent channel flow of a polymer solution. Phys. Fluids 9 (3), 743755.

40.C. H. K. Williamson 1996b Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477539.

41.L. Xi & M. D. Graham 2010 Active and hibernating turbulence in minimal channel flow of Newtonian and polymeric fluids. Phys. Rev. Lett. 104, 218301.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *