Orientation of non-spherical particles in an axisymmetric random flow

Abstract

The dynamics of non-spherical rigid particles immersed in an axisymmetric random flow is studied analytically. The motion of the particles is described by Jeffery's equation; the random flow is Gaussian and has short correlation time.The stationary probability density function of orientations is calculated exactly. Four regimes are identified depending on the statistical anisotropy of the flow and on the geometrical shape of the particle. If λ is the axis of symmetry of the flow, the four regimes are: rotation about λ, tumbling motion between λ and -λ, combination of rotation and tumbling, and preferential alignment with a direction oblique to λ.

18 pages, 8 figures

References in corpus (5)

• Rotation Rate of Rods in Turbulent Fluid Flow
• Rotational intermittency and turbulence induced lift experienced by large particles in a turbulent flow
• Tracking the dynamics of translation and absolute orientation of a sphere in a turbulent flow
• Experimental study of the influence of anisotropy on the inertial scales of turbulence
• A model for alignment between microscopic rods and vorticity

Cited by in corpus (6)

• Tumbling of small axisymmetric particles in random and turbulent flows
• Orientation dynamics of small, triaxial-ellipsoidal particles in isotropic turbulence
• Elliptical Tracers in Two-dimensional, Homogeneous, Isotropic Fluid Turbulence: the Statistics of Alignment, Rotation, and Nematic Order
• A model for alignment between microscopic rods and vorticity
• Statistics of rigid fibers in strongly sheared turbulence
• Geotropic tracers in turbulent flows: a proxy for fluid acceleration