Year: 2025
Type: article
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 undergoes 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.
Author: Benjamin J. Landrum
Language: English
Subfield: Ocean Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4409120067