Settling and asymptotic motion of aerosol particles in a cellular flow field (Q1898043)

The motion of aerosol particles in an infinite periodic cellular flow field is studied. Using an approach of zero inertia, it is shown that the equations of particle motion have a globally attracting slow manifold of critical points. For sufficiently small nonzero inertia, there exists an invariant attracting manifold, too. Some calculated data are presented. For example, a numerical subharmonic Melnikov calculation shows that almost all particles settle vertically throughout the infinite flow field given originally.