Convective and diffusive effects on particle transport in asymmetric periodic capillaries.

We present here results of a theoretical investigation of particle transport in longitudinally asymmetric but axially symmetric capillaries, allowing for the influence of both diffusion and convection. In this study we have focused attention primarily on characterizing the influence of tube geometry...

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Main Authors: Nazmul Islam, Stanley J Miklavcic, Bronwyn H Bradshaw-Hajek, Lee R White
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2017-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC5571904?pdf=render
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spelling doaj-1c8f94849b4843d29d3e3993f8dc56de2020-11-25T01:14:20ZengPublic Library of Science (PLoS)PLoS ONE1932-62032017-01-01128e018312710.1371/journal.pone.0183127Convective and diffusive effects on particle transport in asymmetric periodic capillaries.Nazmul IslamStanley J MiklavcicBronwyn H Bradshaw-HajekLee R WhiteWe present here results of a theoretical investigation of particle transport in longitudinally asymmetric but axially symmetric capillaries, allowing for the influence of both diffusion and convection. In this study we have focused attention primarily on characterizing the influence of tube geometry and applied hydraulic pressure on the magnitude, direction and rate of transport of particles in axi-symmetric, saw-tooth shaped tubes. Three initial value problems are considered. The first involves the evolution of a fixed number of particles initially confined to a central wave-section. The second involves the evolution of the same initial state but including an ongoing production of particles in the central wave-section. The third involves the evolution of particles a fully laden tube. Based on a physical model of convective-diffusive transport, assuming an underlying oscillatory fluid velocity field that is unaffected by the presence of the particles, we find that transport rates and even net transport directions depend critically on the design specifics, such as tube geometry, flow rate, initial particle configuration and whether or not particles are continuously introduced. The second transient scenario is qualitatively independent of the details of how particles are generated. In the third scenario there is no net transport. As the study is fundamental in nature, our findings could engender greater understanding of practical systems.http://europepmc.org/articles/PMC5571904?pdf=render
collection DOAJ
language English
format Article
sources DOAJ
author Nazmul Islam
Stanley J Miklavcic
Bronwyn H Bradshaw-Hajek
Lee R White
spellingShingle Nazmul Islam
Stanley J Miklavcic
Bronwyn H Bradshaw-Hajek
Lee R White
Convective and diffusive effects on particle transport in asymmetric periodic capillaries.
PLoS ONE
author_facet Nazmul Islam
Stanley J Miklavcic
Bronwyn H Bradshaw-Hajek
Lee R White
author_sort Nazmul Islam
title Convective and diffusive effects on particle transport in asymmetric periodic capillaries.
title_short Convective and diffusive effects on particle transport in asymmetric periodic capillaries.
title_full Convective and diffusive effects on particle transport in asymmetric periodic capillaries.
title_fullStr Convective and diffusive effects on particle transport in asymmetric periodic capillaries.
title_full_unstemmed Convective and diffusive effects on particle transport in asymmetric periodic capillaries.
title_sort convective and diffusive effects on particle transport in asymmetric periodic capillaries.
publisher Public Library of Science (PLoS)
series PLoS ONE
issn 1932-6203
publishDate 2017-01-01
description We present here results of a theoretical investigation of particle transport in longitudinally asymmetric but axially symmetric capillaries, allowing for the influence of both diffusion and convection. In this study we have focused attention primarily on characterizing the influence of tube geometry and applied hydraulic pressure on the magnitude, direction and rate of transport of particles in axi-symmetric, saw-tooth shaped tubes. Three initial value problems are considered. The first involves the evolution of a fixed number of particles initially confined to a central wave-section. The second involves the evolution of the same initial state but including an ongoing production of particles in the central wave-section. The third involves the evolution of particles a fully laden tube. Based on a physical model of convective-diffusive transport, assuming an underlying oscillatory fluid velocity field that is unaffected by the presence of the particles, we find that transport rates and even net transport directions depend critically on the design specifics, such as tube geometry, flow rate, initial particle configuration and whether or not particles are continuously introduced. The second transient scenario is qualitatively independent of the details of how particles are generated. In the third scenario there is no net transport. As the study is fundamental in nature, our findings could engender greater understanding of practical systems.
url http://europepmc.org/articles/PMC5571904?pdf=render
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AT bronwynhbradshawhajek convectiveanddiffusiveeffectsonparticletransportinasymmetricperiodiccapillaries
AT leerwhite convectiveanddiffusiveeffectsonparticletransportinasymmetricperiodiccapillaries
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