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Statements

Subject Item
n2:RIV%2F60461373%3A22310%2F14%3A43895901%21RIV15-GA0-22310___
rdf:type
n8:Vysledek skos:Concept
dcterms:description
The thermal conductivity of alumina-water nanofluids is analyzed from the viewpoint of micromechanics. Wiener and Hashin-Shtrikman bounds are recalled and it is shown how these model-independent bounds can be used to check experimental results and literature data. Further, it is shown that in the infinite-phase-contrast case (i.e. for superconducting particles) a useful approximation is obtained for the lower Hashin-Shtrikman bound (= Maxwell model = Hamilton-Crosser model for spherical particles). It is also shown that the second-order approximation of this infinite-phase-contrast relation is identical to the Choy-Torquato cluster expansion for impenetrable spheres with a ?well-separated? distribution, whose dilute limit approximation is identical to that of other popular models, such as the self-consistent and differential scheme approximation. It is found that a considerable amount of published data violates the Hashin-Shtrikman lower bound, i.e. lies below the Maxwell model; the possible reasons are discussed. On the other hand, it is shown that the strong temperature dependence reported for the thermal conductivity of nanofluids cannot be explained within the framework of micromechanics and, if confirmed by future measurement where macroscopic convection can safely be excluded, indeed requires other mechanisms of heat transfer, such as forced nano- or micro-convection caused by Brownian motion of nanoparticles. The thermal conductivity of alumina-water nanofluids is analyzed from the viewpoint of micromechanics. Wiener and Hashin-Shtrikman bounds are recalled and it is shown how these model-independent bounds can be used to check experimental results and literature data. Further, it is shown that in the infinite-phase-contrast case (i.e. for superconducting particles) a useful approximation is obtained for the lower Hashin-Shtrikman bound (= Maxwell model = Hamilton-Crosser model for spherical particles). It is also shown that the second-order approximation of this infinite-phase-contrast relation is identical to the Choy-Torquato cluster expansion for impenetrable spheres with a ?well-separated? distribution, whose dilute limit approximation is identical to that of other popular models, such as the self-consistent and differential scheme approximation. It is found that a considerable amount of published data violates the Hashin-Shtrikman lower bound, i.e. lies below the Maxwell model; the possible reasons are discussed. On the other hand, it is shown that the strong temperature dependence reported for the thermal conductivity of nanofluids cannot be explained within the framework of micromechanics and, if confirmed by future measurement where macroscopic convection can safely be excluded, indeed requires other mechanisms of heat transfer, such as forced nano- or micro-convection caused by Brownian motion of nanoparticles.
dcterms:title
The thermal conductivity of alumina-water nanofluids from the viewpoint of micromechanics The thermal conductivity of alumina-water nanofluids from the viewpoint of micromechanics
skos:prefLabel
The thermal conductivity of alumina-water nanofluids from the viewpoint of micromechanics The thermal conductivity of alumina-water nanofluids from the viewpoint of micromechanics
skos:notation
RIV/60461373:22310/14:43895901!RIV15-GA0-22310___
n3:aktivita
n7:P
n3:aktivity
P(GAP108/12/1170)
n3:cisloPeriodika
1-2
n3:dodaniDat
n12:2015
n3:domaciTvurceVysledku
n4:5301823 n4:8986738
n3:druhVysledku
n10:J
n3:duvernostUdaju
n13:S
n3:entitaPredkladatele
n14:predkladatel
n3:idSjednocenehoVysledku
50313
n3:idVysledku
RIV/60461373:22310/14:43895901
n3:jazykVysledku
n18:eng
n3:klicovaSlova
Hashin-Shtrikman bounds; micromechanics; nanofluids; alumina; Thermal conductivity
n3:klicoveSlovo
n6:micromechanics n6:Hashin-Shtrikman%20bounds n6:nanofluids n6:alumina n6:Thermal%20conductivity
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[33E2057237B7]
n3:nazevZdroje
Microfluidics and Nanofluidics
n3:obor
n11:JH
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n17:GAP108%2F12%2F1170
n3:rokUplatneniVysledku
n12:2014
n3:svazekPeriodika
16
n3:tvurceVysledku
Pabst, Willi Gregorová, Eva
s:issn
1613-4982
s:numberOfPages
10
n5:organizacniJednotka
22310