Hydrodynamic crystals: Collective dynamics of regular arrays of spherical particles in a parallel-wall channel

被引:45
作者
Baron, M. [1 ]
Blawzdziewicz, J. [1 ]
Wajnryb, E. [1 ]
机构
[1] Yale Univ, Dept Mech Engn, New Haven, CT 06520 USA
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.100.174502
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Simulations of over 10(3) hydrodynamically coupled solid spheres are performed to investigate collective motion of linear trains and regular square arrays of particles suspended in a fluid bounded by two parallel walls. Our novel accelerated Stokesian-dynamics algorithm relies on simplifications associated with the Hele-Shaw asymptotic far-field form of the flow scattered by the particles. The simulations reveal propagation of particle-displacement waves, deformation, and rearrangements of a particle lattice, propagation of dislocation defects in ordered arrays, and long-lasting coexistence of ordered and disordered regions.
引用
收藏
页数:4
相关论文
共 15 条
[1]   Patterns and collective behavior in granular media: Theoretical concepts [J].
Aranson, Igor S. ;
Tsimring, Lev S. .
REVIEWS OF MODERN PHYSICS, 2006, 78 (02) :641-692
[2]   Phonons in a one-dimensional microfluidic crystal [J].
Beatus, Tsevi ;
Tlusty, Tsvi ;
Bar-Ziv, Roy .
NATURE PHYSICS, 2006, 2 (11) :743-748
[3]   Anomalous microfluidic phonons induced by the interplay of hydrodynamic screening and incompressibility [J].
Beatus, Tsevi ;
Bar-Ziv, Roy ;
Tlusty, Tsvi .
PHYSICAL REVIEW LETTERS, 2007, 99 (12)
[4]   Far-field approximation for hydrodynamic interactions in parallel-wall geometry [J].
Bhattacharya, S ;
Blawzdziewicz, J ;
Wajnryb, E .
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 212 (02) :718-738
[5]   Hydrodynamic interactions of spherical particles in suspensions confined between two planar walls [J].
Bhattacharya, S ;
Blawzdziewicz, J ;
Wajnryb, E .
JOURNAL OF FLUID MECHANICS, 2005, 541 :263-292
[6]   Automated trapping, assembly, and sorting with holographic optical tweezers [J].
Chapin, Stephen C. ;
Germain, Vincent ;
Dufresne, Eric R. .
OPTICS EXPRESS, 2006, 14 (26) :13095-13100
[7]   Anomalous hydrodynamic interaction in a quasi-two-dimensional suspension [J].
Cui, BX ;
Diamant, H ;
Lin, BH ;
Rice, SA .
PHYSICAL REVIEW LETTERS, 2004, 92 (25) :258301-1
[8]   Dynamic self-assembly of magnetized, millimetre-sized objects rotating at a liquid-air interface [J].
Grzybowski, BA ;
Stone, HA ;
Whitesides, GM .
NATURE, 2000, 405 (6790) :1033-1036
[9]   Membranes with rotating motors -: art. no. 108104 [J].
Lenz, P ;
Joanny, JF ;
Jülicher, F ;
Prost, J .
PHYSICAL REVIEW LETTERS, 2003, 91 (10)
[10]   Collective effects in ciliar arrays [J].
Lenz, Peter ;
Ryskin, Andrey .
PHYSICAL BIOLOGY, 2006, 3 (04) :285-294