Two-dimensional elastic turbulence

被引:87
|
作者
Berti, S. [1 ,2 ]
Bistagnino, A. [3 ,4 ]
Boffetta, G. [3 ,4 ,5 ]
Celani, A. [6 ]
Musacchio, S. [3 ,4 ]
机构
[1] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland
[2] CNRS, Spectrometrie Phys Lab, F-38402 St Martin Dheres, France
[3] Ist Nazl Fis Nucl, Dipartimento Fis Gen, I-10125 Turin, Italy
[4] CNISM, I-10125 Turin, Italy
[5] Los Alamos Natl Lab, CNLS, Los Alamos, NM 87545 USA
[6] Inst Pasteur, URA 2171, CNRS, F-75724 Paris, France
来源
PHYSICAL REVIEW E | 2008年 / 77卷 / 05期
关键词
D O I
10.1103/PhysRevE.77.055306
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 report numerical evidence of elastic turbulence phenomenology in a two-dimensional periodic Kolmogorov flow. By direct numerical simulations of the Oldroyd-B viscoelastic model at very small Reynolds numbers, we find that above the elastic instability threshold the flow develops an elastic turbulent regime. We observe that both the turbulent drag and the Lyapunov exponent increase with the Weissenberg number, indicating the presence of a disordered, turbulentlike mixing flow. The energy spectrum develops a power-law scaling range with an exponent close to the experimental and theoretical expectations.
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页数:4
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