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Hydrodynamic interactions between a sedimenting squirmer and a planar wall

Title: Hydrodynamic interactions between a sedimenting squirmer and a planar wall
Authors: Shum, Henry; Palaniappan, D.; Young, Yuan-Nan
Contributors: National Science Foundation
Source: Journal of Fluid Mechanics ; volume 1010 ; ISSN 0022-1120 1469-7645
Publisher Information: Cambridge University Press (CUP)
Publication Year: 2025
Description: The hydrodynamic interactions between a sedimenting microswimmer and a solid wall have ubiquitous biological and technological applications. A plethora of gravity-induced swimming dynamics near a planar no-slip wall provide a platform for designing artificial microswimmers that can generate directed propulsion through their translation–rotation coupling near a wall. In this work, we provide exact solutions for a squirmer (a model swimmer of spherical shape with a prescribed slip velocity) facing either towards or away from a planar wall perpendicular to gravity. These exact solutions are used to validate a numerical code based on the boundary integral method with an adaptive mesh for distances from the wall down to 0.1 % of the squirmer radius. This boundary integral code is then used to investigate the rich gravity-induced dynamics near a wall, mapping out the detailed bifurcation structures of the swimming dynamics in terms of orientation and distance to the wall. Simulation results show that a squirmer may traverse the wall, move to a fixed point at a given height with a fixed orientation in a monotonic way or in an oscillatory fashion, or oscillate in a limit cycle in the presence of wall repulsion.
Document Type: article in journal/newspaper
Language: English
DOI: 10.1017/jfm.2025.260
Availability: https://doi.org/10.1017/jfm.2025.260; https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112025002605
Rights: https://creativecommons.org/licenses/by/4.0/
Accession Number: edsbas.5D5041F5
Database: BASE