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The Effect of Particle and Fluid Inertia on the Dynamics of Particles in Flows
The dynamics of a very small particle suspended in a fluid flow is simple:
the centre-of-mass is advected by the fluid velocity, and the
orientational dynamics is determined by the sequence of fluid-velocity
gradients that the particle experiences. For larger particles inertial
effects may become important. Particle inertia is relatively
straightforward to treat and there has recently been substantial progress
in understanding its effect upon the dynamics of particles in flows. The
effect of fluid inertia, by contrast, is more difficult to describe. In
this talk I will review what is known about the effect of fluid inertia
upon the translational and orientational motion of particles in flows and
describe new results concerning the role of fluid
inertia upon the tumbling of a particle in a shear flow.