Fingerprints of random flows?

被引:27
作者
Wilkinson, Michael [1 ]
Bezuglyy, Vlad [1 ]
Mehlig, Bernhard [2 ]
机构
[1] Open Univ, Dept Math & Stat, Milton Keynes MK7 6AA, Bucks, England
[2] Univ Gothenburg, Dept Phys, S-41296 Gothenburg, Sweden
关键词
external flows; flow simulation; random processes; NONSPHERICAL PARTICLES; ANISOTROPIC PARTICLES; REFLECTIVE FLAKES; FLUID-FLOWS; VISUALIZATION; MOTION; SUSPENSIONS; UNSTEADY; DYNAMICS; FIELD;
D O I
10.1063/1.3118502
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We consider the patterns formed by small rodlike objects advected by a random flow in two dimensions. An exact solution indicates that their direction field is nonsingular. However, we find from simulations that the direction field of the rods does appear to exhibit singularities. First, "scar lines" emerge where the rods abruptly change direction by pi. Later, these scar lines become so narrow that they "heal over" and disappear, but their ends remain as point singularities, which are of the same type as those seen in fingerprints. We give a theoretical explanation for these observations.
引用
收藏
页数:11
相关论文
共 16 条
[1]  
[Anonymous], CLASSIFICATION USES
[2]   THE MOTION OF RIGID PARTICLES IN A SHEAR FLOW AT LOW REYNOLDS NUMBER [J].
BRETHERTON, FP .
JOURNAL OF FLUID MECHANICS, 1962, 14 (02) :284-304
[3]  
De Gennes P.-G., 1993, PHYS LIQUID CRYSTALS
[4]   A theory for flowing nematic polymers with orientational distortion [J].
Feng, JJ ;
Sgalari, G ;
Leal, LG .
JOURNAL OF RHEOLOGY, 2000, 44 (05) :1085-1101
[5]   Motions of anisotropic particles: Application to visualization of three-dimensional flows [J].
Gauthier, G ;
Gondret, P ;
Rabaud, M .
PHYSICS OF FLUIDS, 1998, 10 (09) :2147-2154
[7]   THE FLOW OF FIBER SUSPENSIONS IN COMPLEX GEOMETRIES [J].
LIPSCOMB, GG ;
DENN, MM ;
HUR, DU ;
BOGER, DV .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1988, 26 (03) :297-325
[8]   THE SETTLING OF NONSPHERICAL PARTICLES IN A CELLULAR-FLOW FIELD [J].
MALLIER, R ;
MAXEY, M .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1991, 3 (06) :1481-1494
[9]   NEUTRALLY BUOYANT ANISOTROPIC PARTICLES FOR FLOW VISUALIZATION [J].
MATISSE, P ;
GORMAN, M .
PHYSICS OF FLUIDS, 1984, 27 (04) :759-760
[10]   ON FLOW VISUALIZATION USING REFLECTIVE FLAKES [J].
SAVAS, O .
JOURNAL OF FLUID MECHANICS, 1985, 152 (MAR) :235-248