| The asymptotic dynamics of finite-size (inertial) particles is governed by a slow manifold that is globally attracting for sufficiently small Stokes numbers. However, for larger Stokes numbers the slow manifold has domains that repel nearby passing trajectories. These domains can be described explicitly by performing a stability analysis close to the slow manifold. In this talk, I will present different applications of these theoretical findings including inertial particle motion in a two-dimensional model of vortex shedding behind a cylinder in crossflow, in the three-dimensional steady Arnold-Beltrami-Childress flow, as well as in the realistic flow field of hurricane Isabel (US East coast, 2003). |
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