Theory for semi-dilute suspensions of periodically forced slender bodies aligned along finite set of directions

被引:3
作者
Radhakrishnan, K [1 ]
Ramamohan, TR [1 ]
机构
[1] CSIR, Reg Res Lab, Unit 1, Thiruvananthapuram 695019, Kerala, India
关键词
chaos; suspensions; non-trivial collective behaviour; periodic force; hydrodynamic interactions; slender-rods;
D O I
10.1252/jcej.32.573
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
In earlier work we demonstrated numerically (Kumar and Ramamohan, 1995) that the rheological parameters of periodically forced dilute suspensions of slender bodies vary chaotically. This demonstration, if confirmed experimentally, will have important implications for both suspension rheology and chaos theory. In this paper, we develop expressions for Green's function and the average rotation rate for a semi-dilute suspension of periodically forced slender bodies aligned along a finite set of directions. The present theory can yield physically meaningful results, either as an approximation to the evolution of an initially uniformly distributed suspension of slender rods, or as an approximation to the evolution of an initially nearly aligned suspension of slender rods when the evolution of the orientation vectors is chaotic in some parametric regimes.
引用
收藏
页码:573 / 580
页数:8
相关论文
共 20 条
[1]   KINETICS OF FLOWING DISPERSIONS .2. EQUILIBRIUM ORIENTATIONS OF RODS AND DISCS (THEORETICAL) [J].
ANCZUROW.E ;
MASON, SG .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1967, 23 (04) :522-+
[2]  
BACHELOR GK, 1970, J FLUID MECH, V44, P419
[4]  
Brenner H., 1974, International Journal of Multiphase Flow, V1, P195, DOI 10.1016/0301-9322(74)90018-4
[6]   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
[7]  
Buevich Yu. A., 1984, Magnetohydrodynamics, V20, P333
[8]   CHAOS - NEW TREND OF MAGNETIC FLUID RESEARCH [J].
CEBERS, A .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1993, 122 (1-3) :281-285
[9]   PARTICLE BEHAVIOR IN SHEAR AND ELECTRIC FIELDS .V. EFFECT ON SUSPENSION VISCOSITY [J].
CHAFFEY, CE ;
MASON, SG .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1968, 27 (01) :115-+
[10]   HEAT AND MASS-TRANSPORT IN COMPOSITES OF ALIGNED SLENDER FIBERS [J].
FREDRICKSON, GH ;
SHAQFEH, ESG .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1989, 1 (01) :3-20