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Title: Focusing of active particles in a converging flow

Abstract

We consider active particles swimming in a convergent fluid flow in a trapezoid nozzle with no-slip walls. We use mathematical modeling to analyze trajectories of these particles inside the nozzle. By extensive Monte Carlo simulations, we show that trajectories are strongly affected by the background fluid flow and geometry of the nozzle leading to wall accumulation and upstream motion (rheotaxis). In particular, we describe the non-trivial focusing of active rods depending on physical and geometrical parameters. It is also established that the convergent component of the background flow leads to stability of both downstream and upstream swimming at the centerline. The stability of downstream swimming enhances focusing, and the stability of upstream swimming enables rheotaxis in the bulk.

Authors:
 [1];  [2];  [1];  [3]
  1. Pennsylvania State Univ., University Park, PA (United States). Department of Mathematics
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
  3. Pennsylvania State Univ., University Park, PA (United States). Department of Mathematics and Department of Biomedical Engineering
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE; National Science Foundation (NSF); German Research Foundation (DFG)
OSTI Identifier:
1419938
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
New Journal of Physics
Additional Journal Information:
Journal Volume: 19; Journal Issue: 11; Journal ID: ISSN 1367-2630
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 42 ENGINEERING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Potomkin, Mykhailo, Kaiser, Andreas, Berlyand, Leonid, and Aranson, Igor. Focusing of active particles in a converging flow. United States: N. p., 2017. Web. doi:10.1088/1367-2630/aa94fd.
Potomkin, Mykhailo, Kaiser, Andreas, Berlyand, Leonid, & Aranson, Igor. Focusing of active particles in a converging flow. United States. doi:10.1088/1367-2630/aa94fd.
Potomkin, Mykhailo, Kaiser, Andreas, Berlyand, Leonid, and Aranson, Igor. Fri . "Focusing of active particles in a converging flow". United States. doi:10.1088/1367-2630/aa94fd. https://www.osti.gov/servlets/purl/1419938.
@article{osti_1419938,
title = {Focusing of active particles in a converging flow},
author = {Potomkin, Mykhailo and Kaiser, Andreas and Berlyand, Leonid and Aranson, Igor},
abstractNote = {We consider active particles swimming in a convergent fluid flow in a trapezoid nozzle with no-slip walls. We use mathematical modeling to analyze trajectories of these particles inside the nozzle. By extensive Monte Carlo simulations, we show that trajectories are strongly affected by the background fluid flow and geometry of the nozzle leading to wall accumulation and upstream motion (rheotaxis). In particular, we describe the non-trivial focusing of active rods depending on physical and geometrical parameters. It is also established that the convergent component of the background flow leads to stability of both downstream and upstream swimming at the centerline. The stability of downstream swimming enhances focusing, and the stability of upstream swimming enables rheotaxis in the bulk.},
doi = {10.1088/1367-2630/aa94fd},
journal = {New Journal of Physics},
number = 11,
volume = 19,
place = {United States},
year = {Fri Oct 20 00:00:00 EDT 2017},
month = {Fri Oct 20 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
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