Numerical Study of Electro-Osmotic Fluid Flow and Vortex Formation
The phenomenon of electro-osmosis was studied by performing numerical simulations on the flow between parallel walls and at the nozzle microchannels. In this work, we propose a numerical approximation to perform simulations of vortex formation which occur after the passage of the fluid through an ab...
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doaj-e8fbee3d93564dcc99ffe29cbf2b2e722020-11-25T02:00:17ZengMDPI AGMicromachines2072-666X2019-11-01101279610.3390/mi10120796mi10120796Numerical Study of Electro-Osmotic Fluid Flow and Vortex FormationWesley De Souza Bezerra0Antonio Castelo1Alexandre M. Afonso2Faculdade de Ciências Exatas e Tecnologia, FACET, Universidade Federal da Grande Dourados, Cidade Universitaria-Rodovia Dourados-Itahum, Km 12, Dourados 79804-970, BrasilDepartamento de Matemática Aplicada e Estatística, ICMC, Universidade de São Paulo, Av. Trabalhador São-carlense, 400, São Carlos 13566-590, BrasilFaculdade de Engenharia da Universidade do Porto, Departamento de Engenharia Mecânica, Centro de Estudos de Fenómenos de Transporte (CEFT), 4200-465 Porto, PortugalThe phenomenon of electro-osmosis was studied by performing numerical simulations on the flow between parallel walls and at the nozzle microchannels. In this work, we propose a numerical approximation to perform simulations of vortex formation which occur after the passage of the fluid through an abrupt contraction at the microchannel. The motion of the charges in the solution is described by the Poisson−Nernst−Planck equations and used the generalized finite differences to solve the numerical problem. First, solutions for electro-osmotic flow were obtained for the Phan−Thien/Thanner model in a parallel walls channel. Later simulations for electro-osmotic flow were performed in a nozzle. The formation of vortices near the contraction within the nozzle was verified by taking into account a flow perturbation model.https://www.mdpi.com/2072-666X/10/12/796hig-flowhig-treefinite differencesviscoelasticelectro-osmotic |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Wesley De Souza Bezerra Antonio Castelo Alexandre M. Afonso |
spellingShingle |
Wesley De Souza Bezerra Antonio Castelo Alexandre M. Afonso Numerical Study of Electro-Osmotic Fluid Flow and Vortex Formation Micromachines hig-flow hig-tree finite differences viscoelastic electro-osmotic |
author_facet |
Wesley De Souza Bezerra Antonio Castelo Alexandre M. Afonso |
author_sort |
Wesley De Souza Bezerra |
title |
Numerical Study of Electro-Osmotic Fluid Flow and Vortex Formation |
title_short |
Numerical Study of Electro-Osmotic Fluid Flow and Vortex Formation |
title_full |
Numerical Study of Electro-Osmotic Fluid Flow and Vortex Formation |
title_fullStr |
Numerical Study of Electro-Osmotic Fluid Flow and Vortex Formation |
title_full_unstemmed |
Numerical Study of Electro-Osmotic Fluid Flow and Vortex Formation |
title_sort |
numerical study of electro-osmotic fluid flow and vortex formation |
publisher |
MDPI AG |
series |
Micromachines |
issn |
2072-666X |
publishDate |
2019-11-01 |
description |
The phenomenon of electro-osmosis was studied by performing numerical simulations on the flow between parallel walls and at the nozzle microchannels. In this work, we propose a numerical approximation to perform simulations of vortex formation which occur after the passage of the fluid through an abrupt contraction at the microchannel. The motion of the charges in the solution is described by the Poisson−Nernst−Planck equations and used the generalized finite differences to solve the numerical problem. First, solutions for electro-osmotic flow were obtained for the Phan−Thien/Thanner model in a parallel walls channel. Later simulations for electro-osmotic flow were performed in a nozzle. The formation of vortices near the contraction within the nozzle was verified by taking into account a flow perturbation model. |
topic |
hig-flow hig-tree finite differences viscoelastic electro-osmotic |
url |
https://www.mdpi.com/2072-666X/10/12/796 |
work_keys_str_mv |
AT wesleydesouzabezerra numericalstudyofelectroosmoticfluidflowandvortexformation AT antoniocastelo numericalstudyofelectroosmoticfluidflowandvortexformation AT alexandremafonso numericalstudyofelectroosmoticfluidflowandvortexformation |
_version_ |
1724961578700242944 |