Reconstructing the neutrally-buoyant particle flow near a singular corner
Article dans une revue avec comité de lecture
Date
2022-04Journal
Acta Mechanica SinicaAbstract
The correction of buoyancy effects is tackled for particles moving close to a singular corner in creeping flow conditions. A few
density-mismatched particle trajectories are used to reconstruct the dynamics of a neutrally-buoyant particle all over the target
domain. We propose to take advantage of the dissipative dynamics of density-mismatched particles in order to probe the target
domain. Thereafter, we retrieve the neutrally-buoyant particle flow all over the domain by reconstructing the phase space of the
density-mismatched particulate flow and taking the limit of the particle-to-fluid density ratio tending to one. The robustness of
such an approach is demonstrated by deliberately ill-conditioning the reconstruction operator. In fact, we show that our algorithm
well performs even when we rely on qualitatively-different density-mismatched orbit topologies or on bundles of close trajectories rather than homogeneously distributed orbits. Potential applications to microfluidics and improvements of the proposed
algorithm are finally discussed.
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