Polymer diffusive instability leading to elastic turbulence in plane Couette flow

被引:19
作者
Beneitez, Miguel [1 ]
Page, Jacob [2 ]
Kerswell, Rich R. [1 ]
机构
[1] Ctr Math Sci, DAMTP, Wilberforce Rd, Cambridge CB3 0WA, England
[2] Univ Edinburgh, Sch Math, Edinburgh EH9, Scotland
基金
英国工程与自然科学研究理事会;
关键词
DYNAMICS; NUMBERS;
D O I
10.1103/PhysRevFluids.8.L101901
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
Elastic turbulence is a chaotic flow state observed in dilute polymer solutions in the absence of inertia. It was discovered experimentally in circular geometries and has long been thought to require a finite amplitude perturbation in parallel flows. Here we demonstrate, within the commonly used Oldroyd-B and FENE-P models, that a self-sustaining chaotic state can be initiated via a linear instability in a simple inertia-less shear flow caused by the presence of small but nonzero diffusivity of the polymer stress. Numerical simulations show that the instability leads to a three-dimensional self-sustaining chaotic state, which we believe is the first reported in a wall-bounded, parallel, inertia-less viscoelastic flow.
引用
收藏
页数:9
相关论文
共 42 条
[1]   Polymer diffusive instability leading to elastic turbulence in plane Couette flow [J].
Beneitez, Miguel ;
Page, Jacob ;
Kerswell, Rich R. .
PHYSICAL REVIEW FLUIDS, 2023, 8 (10)
[2]   ON THE COMPATIBILITY BETWEEN VARIOUS MACROSCOPIC FORMALISMS FOR THE CONCENTRATION AND FLOW OF DILUTE POLYMER-SOLUTIONS [J].
BERIS, AN ;
MAVRANTZAS, VG .
JOURNAL OF RHEOLOGY, 1994, 38 (05) :1235-1250
[3]   Elastic waves and transition to elastic turbulence in a two-dimensional viscoelastic Kolmogorov flow [J].
Berti, S. ;
Boffetta, G. .
PHYSICAL REVIEW E, 2010, 82 (03)
[4]   Two-dimensional elastic turbulence [J].
Berti, S. ;
Bistagnino, A. ;
Boffetta, G. ;
Celani, A. ;
Musacchio, S. .
PHYSICAL REVIEW E, 2008, 77 (05)
[5]  
Bird R. B., 1987, DYNAMICS POLYM LIQUI
[6]   Nonlinear dynamics of the viscoelastic Kolmogorov flow [J].
Bistagnino, A. ;
Boffetta, G. ;
Celani, A. ;
Mazzino, A. ;
Puliafito, A. ;
Vergassola, M. .
JOURNAL OF FLUID MECHANICS, 2007, 590 :61-80
[7]   Slip, concentration fluctuations, and flow instability in sheared polymer solutions [J].
Black, WB ;
Graham, MD .
MACROMOLECULES, 2001, 34 (17) :5731-5733
[8]   The viscoelastic Kolmogorov flow: eddy viscosity and linear stability [J].
Boffetta, G ;
Celani, A ;
Mazzino, A ;
Puliafito, A ;
Vergassola, M .
JOURNAL OF FLUID MECHANICS, 2005, 523 :161-170
[9]   Dedalus: A flexible framework for numerical simulations with spectral methods [J].
Burns, Keaton J. ;
Vasil, Geoffrey M. ;
Oishi, Jeffrey S. ;
Lecoanet, Daniel ;
Brown, Benjamin P. .
PHYSICAL REVIEW RESEARCH, 2020, 2 (02)
[10]   Inertioelastic Flow Instability at a Stagnation Point [J].
Burshtein, Noa ;
Zografos, Konstantinos ;
Shen, Amy Q. ;
Poole, Robert J. ;
Haward, Simon J. .
PHYSICAL REVIEW X, 2017, 7 (04)