The role of inertia for the rotation of a nearly spherical particle in a general linear flow

Abstract

We analyse the angular dynamics of a neutrally buoyant nearly spherical particle immersed in a steady general linear flow. The hydrodynamic torque acting on the particle is obtained by means of a reciprocal theorem, regular perturbation theory exploiting the small eccentricity of the nearly spherical particle, and assuming that inertial effects are small, but finite.

7 pages, 1 figure

References in corpus (1)

• Effect of weak fluid inertia upon Jeffery orbits

Cited by in corpus (4)

• Rotation of a spheroid in a simple shear at small Reynolds number
• Angular dynamics of a small particle in turbulence
• Angular dynamics of small crystals in viscous flow
• Angular velocity of a spheroid log rolling in a simple shear at small Reynolds number