Thermally Fully Developed Electroosmotic Flow of Power-Law Nanofluid in a Rectangular Microchannel

The hydrodynamic and thermal behavior of the electroosmotic flow of power-law nanofluid is studied. A modified Cauchy momentum equation governing the hydrodynamic behavior of power-law nanofluid flow in a rectangular microchannel is firstly developed. To explore the thermal behavior of power-law nan...

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Main Author: Shuyan Deng
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/10/6/363
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author Shuyan Deng
author_facet Shuyan Deng
author_sort Shuyan Deng
collection DOAJ
description The hydrodynamic and thermal behavior of the electroosmotic flow of power-law nanofluid is studied. A modified Cauchy momentum equation governing the hydrodynamic behavior of power-law nanofluid flow in a rectangular microchannel is firstly developed. To explore the thermal behavior of power-law nanofluid flow, the energy equation is developed, which is coupled to the velocity field. A numerical algorithm based on the Crank−Nicolson method and compact difference schemes is proposed, whereby the velocity, temperature, and Nusselt number are computed for different parameters. A larger nanoparticle volume fraction significantly reduces the velocity and enhances the temperature regardless of the base fluid rheology. The Nusselt number increases with the flow behavior index and with electrokinetic width when considering the surface heating effect, which decreases with the Joule heating parameter. The heat transfer rate of electroosmotic flow is enhanced for shear thickening nanofluids or at a greater nanoparticle volume fraction.
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spelling doaj.art-a5cfbebe8aad45279f9294a2b42f03f22022-12-21T22:21:11ZengMDPI AGMicromachines2072-666X2019-05-0110636310.3390/mi10060363mi10060363Thermally Fully Developed Electroosmotic Flow of Power-Law Nanofluid in a Rectangular MicrochannelShuyan Deng0Institute of Architecture and Civil Engineering, Guangdong University of Petrochemical Technology, Maoming 525000, ChinaThe hydrodynamic and thermal behavior of the electroosmotic flow of power-law nanofluid is studied. A modified Cauchy momentum equation governing the hydrodynamic behavior of power-law nanofluid flow in a rectangular microchannel is firstly developed. To explore the thermal behavior of power-law nanofluid flow, the energy equation is developed, which is coupled to the velocity field. A numerical algorithm based on the Crank−Nicolson method and compact difference schemes is proposed, whereby the velocity, temperature, and Nusselt number are computed for different parameters. A larger nanoparticle volume fraction significantly reduces the velocity and enhances the temperature regardless of the base fluid rheology. The Nusselt number increases with the flow behavior index and with electrokinetic width when considering the surface heating effect, which decreases with the Joule heating parameter. The heat transfer rate of electroosmotic flow is enhanced for shear thickening nanofluids or at a greater nanoparticle volume fraction.https://www.mdpi.com/2072-666X/10/6/363power-law nanofluidelectroosmotic flowheat transfercompact difference schemenanoparticle volume frictionJoule heating parameter
spellingShingle Shuyan Deng
Thermally Fully Developed Electroosmotic Flow of Power-Law Nanofluid in a Rectangular Microchannel
Micromachines
power-law nanofluid
electroosmotic flow
heat transfer
compact difference scheme
nanoparticle volume friction
Joule heating parameter
title Thermally Fully Developed Electroosmotic Flow of Power-Law Nanofluid in a Rectangular Microchannel
title_full Thermally Fully Developed Electroosmotic Flow of Power-Law Nanofluid in a Rectangular Microchannel
title_fullStr Thermally Fully Developed Electroosmotic Flow of Power-Law Nanofluid in a Rectangular Microchannel
title_full_unstemmed Thermally Fully Developed Electroosmotic Flow of Power-Law Nanofluid in a Rectangular Microchannel
title_short Thermally Fully Developed Electroosmotic Flow of Power-Law Nanofluid in a Rectangular Microchannel
title_sort thermally fully developed electroosmotic flow of power law nanofluid in a rectangular microchannel
topic power-law nanofluid
electroosmotic flow
heat transfer
compact difference scheme
nanoparticle volume friction
Joule heating parameter
url https://www.mdpi.com/2072-666X/10/6/363
work_keys_str_mv AT shuyandeng thermallyfullydevelopedelectroosmoticflowofpowerlawnanofluidinarectangularmicrochannel