Asymptotic behavior of a suspension of oriented particles in a viscous incompressible fluid

作者：Berezhnyi Maksym^*; Khruslov Eugen

来源：Asymptotic Analysis, 2013, 83(4): 331-353.

DOI：10.3233/ASY-131162

• microstructure
• suspension
• anisotropic material
• inhomogeneous material
• viscous incompressible fluid
• asymmetric hydrodynamics
• asymptotic analysis

A viscous incompressible fluid with a large number of small axially symmetric solid particles is considered. It is assumed that the particles are identically oriented and under the influence of the fluid move translationally or rotate around a symmetry axis with the direction of their symmetry axes unchanged. The asymptotic behavior of oscillations of the system is studied, when the diameters of particles and distances between the nearest particles are decreased. The equations, describing the homogenized model of the system, are derived. It is shown that the homogenized equations correspond to a non-standard hydrodynamics. Namely, the homogenized stress tensor linearly depends not only on the strain tensor but also on the rotation tensor.

• 出版日期2013