Coherent structures of elastoinertial instabilities in Taylor-Couette flows

被引:6
作者
Boulafentis, T. [1 ]
Lacassagne, T. [2 ]
Cagney, N. [3 ]
Balabani, S. [1 ]
机构
[1] UCL, Dept Mech Engn, London WC1E 6BT, England
[2] Univ Lille, Inst Mines Telecom, Ctr Energy & Environm, IMT Nord Europe, F-59000 Lille, France
[3] Queen Mary Univ London, Sch Engn & Mat Sci, London E1 4NS, England
基金
英国工程与自然科学研究理事会;
关键词
absolute/convective instability; viscoelasticity; polymers; DIRECT NUMERICAL-SIMULATION; VISCOELASTIC SHEAR-FLOW; ELASTIC INSTABILITY; VELOCITY-FIELD; ASPECT-RATIO; TURBULENCE; STABILITY; WAVES; TRANSITIONS; COMPUTATION;
D O I
10.1017/jfm.2024.163
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We combine flow visualisation techniques and particle image velocimetry to experimentally investigate the higher-order transition to elastoinertial turbulence of Boger fluids (El = 0.11-0.34) in Taylor-Couette flows. The observed route to turbulence is associated with the appearance of chaotic inflow jets, termed flame patterns, for increasing inertia, and stable structures of solitons, known as diwhirls, for decreasing inertia. We also report for the first time spatially and temporally resolved flow fields in the meridional plane for the three characteristic viscoelastic flow regimes (diwhirls, flame patterns and elastoinertial turbulence). We observe in all cases coherent structures of dynamically independent solitary vortex pairs. The stability of these coherent structures is jet-dominated and can be mainly ascribed to the high extension of the polymer chains in the inflow boundaries in the r-z plane. Solitary pairs are self-sustained when created through random events and do not split; instead, they merge when moving sufficiently close and annihilate when hoop stresses are not sufficient to sustain them. The highly localised and random events result in highly fluctuating, chaotic flow states. We estimate the decay exponent of spatial power spectral density, illustrating a universal scaling of -2.5 for elastoinertial turbulence. Based on our observations and in an effort to unify and combine precedent theories with our results, we suggest a mechanism for the origins of elastoinertial instabilities, accounting for both the effect of elasticity on the vortex formation and the effect of increasing/decreasing inertia on the flow dynamics.
引用
收藏
页数:36
相关论文
共 98 条
[1]   Three-dimensional velocity field for wavy Taylor-Couette flow [J].
Akonur, A ;
Lueptow, RM .
PHYSICS OF FLUIDS, 2003, 15 (04) :947-960
[2]   FLOW REGIMES IN A CIRCULAR COUETTE SYSTEM WITH INDEPENDENTLY ROTATING CYLINDERS [J].
ANDERECK, CD ;
LIU, SS ;
SWINNEY, HL .
JOURNAL OF FLUID MECHANICS, 1986, 164 :155-183
[3]  
Armstrong R. C., 1987, Dynamics of Polymeric Liquids, V1
[4]   A study of particle paths in non-axisymmetric Taylor-Couette flows [J].
Ashwin, P ;
King, GP .
JOURNAL OF FLUID MECHANICS, 1997, 338 :341-362
[5]   NON-AXISYMMETRICAL MODES IN VISCOELASTIC TAYLOR-COUETTE FLOW [J].
AVGOUSTI, M ;
BERIS, AN .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1993, 50 (2-3) :225-251
[6]   Viscoelastic instabilities of Taylor-Couette flows with different rotation regimes [J].
Bai, Yang ;
Latrache, Noureddine ;
Kelai, Faycal ;
Crumeyrolle, Olivier ;
Mutabazi, Innocent .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2023, 381 (2246)
[7]   Effect of inertial migration of particles on flow transitions of a suspension Taylor-Couette flow [J].
Baroudi, Lina ;
Majji, Madhu, V ;
Morris, Jeffrey F. .
PHYSICAL REVIEW FLUIDS, 2020, 5 (11)
[8]   Flow regimes in model viscoelastic fluids in a circular couette system with independently rotating cylinders [J].
Baumert, BM ;
Muller, SJ .
PHYSICS OF FLUIDS, 1997, 9 (03) :566-586
[9]   Axisymmetric and non-axisymmetric elastic and inertio-elastic instabilities in Taylor-Couette flow [J].
Baumert, BM ;
Muller, SJ .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1999, 83 (1-2) :33-69
[10]   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)