On the role of initial velocities in pair dispersion in a microfluidic chaotic flow

被引:15
作者
Afik, Eldad [1 ,2 ]
Steinberg, Victor [1 ]
机构
[1] Weizmann Inst Sci, Dept Phys Complex Syst, IL-76100 Rehovot, Israel
[2] CALTECH, Div Biol & Biol Engn, Pasadena, CA 91125 USA
来源
NATURE COMMUNICATIONS | 2017年 / 8卷
基金
以色列科学基金会;
关键词
POLYMER-SOLUTIONS; ELASTIC TURBULENCE; PARTICLE TRACKING; DEPENDENCE; DEVICES; DILUTE; SYSTEM;
D O I
10.1038/s41467-017-00389-8
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Chaotic flows drive mixing and efficient transport in fluids, as well as the associated beautiful complex patterns familiar to us from our every day life experience. Generating such flows at small scales where viscosity takes over is highly challenging from both the theoretical and engineering perspectives. This can be overcome by introducing a minuscule amount of long flexible polymers, resulting in a chaotic flow dubbed 'elastic turbulence'. At the basis of the theoretical frameworks for its study lie the assumptions of a spatially smooth and random-intime velocity field. Previous measurements of elastic turbulence have been limited to two-dimensions. Using a novel three-dimensional particle tracking method, we conduct a microfluidic experiment, allowing us to explore elastic turbulence from the perspective of particles moving with the flow. Our findings show that the smoothness assumption breaks already at scales smaller than a tenth of the system size. Moreover, we provide conclusive experimental evidence that 'ballistic' separation prevails in the dynamics of pairs of tracers over long times and distances, exhibiting a memory of the initial separation velocities. The ballistic dispersion is universal, yet it has been overlooked so far in the context of small scales chaotic flows.
引用
收藏
页数:7
相关论文
共 44 条
[1]  
Afik E., FIGSHARE, DOI [10.6084/m9.figshare.5112991, DOI 10.6084/M9.FIGSHARE.5112991]
[2]   Robust and highly performant ring detection algorithm for 3d particle tracking using 2d microscope imaging [J].
Afik, Eldad .
SCIENTIFIC REPORTS, 2015, 5
[3]   Numerical differentiation of experimental data: local versus global methods [J].
Ahnert, Karsten ;
Abel, Markus .
COMPUTER PHYSICS COMMUNICATIONS, 2007, 177 (10) :764-774
[4]   Two-dimensional elastic turbulence [J].
Berti, S. ;
Bistagnino, A. ;
Boffetta, G. ;
Celani, A. ;
Musacchio, S. .
PHYSICAL REVIEW E, 2008, 77 (05)
[5]   Time scales of turbulent relative dispersion [J].
Bitane, Rehab ;
Homann, Holger ;
Bec, Jeremie .
PHYSICAL REVIEW E, 2012, 86 (04)
[6]   The role of pair dispersion in turbulent flow [J].
Bourgoin, M ;
Ouellette, NT ;
Xu, HT ;
Berg, J ;
Bodenschatz, E .
SCIENCE, 2006, 311 (5762) :835-838
[7]   Chaotic flow and efficient mixing in a microchannel with a polymer solution [J].
Burghelea, Teodor ;
Segre, Enrico ;
Bar-Joseph, Israel ;
Groisman, Alex ;
Steinberg, Victor .
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2004, 69 (6 2) :066305-1
[8]   Bacterial strategies for chemotaxis response [J].
Celani, Antonio ;
Vergassola, Massimo .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2010, 107 (04) :1391-1396
[9]  
Cencini M, 2010, SER ADV STAT MECH, V17, P1
[10]   Control and detection of chemical reactions in microfluidic systems [J].
deMello, Andrew J. .
NATURE, 2006, 442 (7101) :394-402