The interplay between bulk flow and boundary conditions on the distribution of micro-swimmers in channel flow

Maretvadakethope, Smitha ORCID: https://orcid.org/0000-0002-7269-0659, Vasiev, Bakhti and Bearon, Rachel ORCID: https://orcid.org/0000-0001-8461-0823 (2023) The interplay between bulk flow and boundary conditions on the distribution of micro-swimmers in channel flow. [Data Collection]

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Data for the JFM paper "The interplay between bulk flow and boundary conditions on the distribution of micro-swimmers in channel flow" by Smitha Maretvadakethope, Andrew L. Hazel, Bakhti Vasiev, and Rachel Bearon. Abstract: While previous experimental and numerical studies of dilute micro-swimmer suspensions have focused on the behaviours of swimmers in the bulk flow and near boundaries, models typically do not account for the interplay between bulk flow and the choice of boundary conditions imposed in continuum models. In our work, we highlight the effect of boundary conditions on the bulk flow distributions, such as through the development of boundary layers or secondary peaks of cell accumulation in bulk-flow swimmer dynamics. For the case of a dilute swimmer suspension in Poiseuille flow, we compare the distribution (in physical and orientation space) obtained from individual based stochastic models with those from continuum models, and identify under what conditions it is mathematically sensible to use specific continuum boundary conditions to capture different physical scenarios (i.e. specular reflection, uniform random reflection and absorbing boundaries). We identify that the spread of preferred cell orientations is dependent on the interplay between rotation driven by the shear flow (Jeffery orbits) and rotational diffusion. We find that in the absence of hydrodynamic wall-interactions, swimmers preferentially approach the walls perpendicular to the surface in the presence of high rotational diffusion, and that the preferential approach of swimmers to the walls is shape-dependent at low rotational diffusion (when suspensions tend towards a fully deterministic case). In the latter case, the preferred orientations are nearly parallel to the surface for elongated swimmers and nearly perpendicular to the surface for near-spherical swimmers. Furthermore, we highlight the effects of swimmer geometries and shear throughout the bulk-flow on swimmer trajectories and show how the full history of bulk-flow dynamics affects the orientation distributions of micro-swimmer wall incidence.

Keywords: Bioactive fluids, continuum modelling, individual based stochastic modelling, accumulation index, Smoluchowski equation, microswimmer dynamics
Divisions: Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User: Smitha Maretvadakethope
Date Deposited: 18 Oct 2023 14:41
Last Modified: 18 Oct 2023 14:41
DOI: 10.17638/datacat.liverpool.ac.uk/2488
URI: https://datacat.liverpool.ac.uk/id/eprint/2488

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