Elastic waves and transition to elastic turbulence in a two-dimensional viscoelastic Kolmogorov flow

被引:61
作者
Berti, S. [1 ]
Boffetta, G. [2 ,3 ,4 ]
机构
[1] UJF CNRS, Spectrometrie Phys Lab, UMR5588, Grenoble, France
[2] Univ Turin, Dipartimento Fis Gen, I-10125 Turin, Italy
[3] Univ Turin, Ist Nazl Fis Nucl, I-10125 Turin, Italy
[4] CNR ISAC, Sez Torino, I-10133 Turin, Italy
来源
PHYSICAL REVIEW E | 2010年 / 82卷 / 03期
关键词
POLYMER-SOLUTIONS; EDDY VISCOSITY; INSTABILITIES; DYNAMICS;
D O I
10.1103/PhysRevE.82.036314
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We investigate the dynamics of the two-dimensional periodic Kolmogorov flow of a viscoelastic fluid, described by the Oldroyd-B model, by means of direct numerical simulations. Above a critical Weissenberg number the flow displays a transition from stationary to randomly fluctuating states, via periodic ones. The increasing complexity of the flow in both time and space at progressively higher values of elasticity accompanies the establishment of mixing features. The peculiar dynamical behavior observed in the simulations is found to be related to the appearance of filamental propagating patterns, which develop even in the limit of very small inertial nonlinearities, thanks to the feedback of elastic forces on the flow.
引用
收藏
页数:10
相关论文
共 33 条
  • [1] Arnold V.I., 1960, Russ. Math. Surv., V15, P247
  • [2] Experimental investigation of purely elastic instabilities in periodic flows
    Arora, K
    Sureshkumar, R
    Khomami, B
    [J]. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2002, 108 (1-3) : 209 - 226
  • [3] Stretching and mixing of non-Newtonian fluids in time-periodic flows
    Arratia, PE
    Voth, GA
    Gollub, JP
    [J]. PHYSICS OF FLUIDS, 2005, 17 (05) : 1 - 10
  • [4] Elastic instabilities of polymer solutions in cross-channel flow
    Arratia, PE
    Thomas, CC
    Diorio, J
    Gollub, JP
    [J]. PHYSICAL REVIEW LETTERS, 2006, 96 (14)
  • [5] Turbulence of polymer solutions
    Balkovsky, E.
    Fouxon, A.
    Lebedev, V.
    [J]. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2001, 64 (5 II): : 1 - 056301
  • [6] Two-dimensional elastic turbulence
    Berti, S.
    Bistagnino, A.
    Boffetta, G.
    Celani, A.
    Musacchio, S.
    [J]. PHYSICAL REVIEW E, 2008, 77 (05):
  • [7] Bird RB., 1987, DYNAMICS POLYMERIC F
  • [8] Drag reduction in the turbulent Kolmogorov flow
    Boffetta, G
    Celani, A
    Mazzino, A
    [J]. PHYSICAL REVIEW E, 2005, 71 (03):
  • [9] The viscoelastic Kolmogorov flow: eddy viscosity and linear stability
    Boffetta, G
    Celani, A
    Mazzino, A
    Puliafito, A
    Vergassola, M
    [J]. JOURNAL OF FLUID MECHANICS, 2005, 523 : 161 - 170
  • [10] Chaotic flow and efficient mixing in a microchannel with a polymer solution
    Burghelea, Teodor
    Segre, Enrico
    Bar-Joseph, Israel
    Groisman, Alex
    Steinberg, Victor
    [J]. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2004, 69 (6 2): : 066305 - 1