Three Simple Stokeslet Trajectories

Benjamin J. Landrum

doi:10.1021/acs.iecr.4c05014

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arXiv · 2501.04965

Three Simple Stokeslet Trajectories

Benjamin J. Landrum

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Abstract

Exact results for three trajectories of small numbers of particles interacting hydrodynamically through Stokeslets are presented. First, the middle particle in a vertical trio of particles sediments at a constant velocity for all time. Second, a horizontal pair of particles sedimenting toward a rigid wall undergo a finite and surprisingly constant horizontal displacement in the limit of large initial separations. Third, a pair of particles sedimenting in a quadratic flow, such as that of a fluid pumped in the direction of gravity, oscillates in a periodic orbit and admits a Hamiltonian formulation.

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Benjamin J. Landrum. 2025-01-09. Three Simple Stokeslet Trajectories. https://doi.org/10.1021/acs.iecr.4c05014

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