Fractal analysis of the effect of particle aggregation distribution on thermal conductivity of nanofluids

Wei Wei; Jianchao Cai; Xiangyun Hu; Qi Han; Shuang Liu; Yingfang Zhou

doi:10.1016/j.physleta.2016.07.005

Fractal analysis of the effect of particle aggregation distribution on thermal conductivity of nanofluids

Wei Wei, Jianchao Cai (Corresponding Author), Xiangyun Hu, Qi Han, Shuang Liu, Yingfang Zhou

Engineering

China University of Geosciences, Wuhan

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Abstract

A theoretical effective thermal conductivity model is derived based on fractal distribution characteristics of nanoparticle aggregation. Considering two different mechanisms of heat conduction including particle aggregation and convention, the model is expressed as a function of the fractal dimension and concentration. In the model, the change of fractal dimension is related to the variation of aggregation shape. The theoretical computations of the developed model provide a good agreement with the experimental results, which may serve as an effective approach for quantitatively estimating the effective thermal conductivity of nanofluids

Original language	English
Pages (from-to)	2953-2956
Number of pages	4
Journal	Physics Letters A
Volume	380
Issue number	37
Early online date	9 Jul 2016
DOIs	https://doi.org/10.1016/j.physleta.2016.07.005
Publication status	Published - 26 Aug 2016

Bibliographical note

This project was supported by the National Natural Science Foundation of China (No. 41572116), the Fundamental Research Funds for the Central Universities, China University of Geosciences, Wuhan) (No. CUG160602).

Keywords

Thermal conductivity
Fractal
Aggregation distribution
Aggregation shape

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Cite this

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title = "Fractal analysis of the effect of particle aggregation distribution on thermal conductivity of nanofluids",

abstract = "A theoretical effective thermal conductivity model is derived based on fractal distribution characteristics of nanoparticle aggregation. Considering two different mechanisms of heat conduction including particle aggregation and convention, the model is expressed as a function of the fractal dimension and concentration. In the model, the change of fractal dimension is related to the variation of aggregation shape. The theoretical computations of the developed model provide a good agreement with the experimental results, which may serve as an effective approach for quantitatively estimating the effective thermal conductivity of nanofluids",

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note = "This project was supported by the National Natural Science Foundation of China (No. 41572116), the Fundamental Research Funds for the Central Universities, China University of Geosciences, Wuhan) (No. CUG160602).",

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AU - Wei, Wei

AU - Cai, Jianchao

AU - Hu, Xiangyun

AU - Han, Qi

AU - Liu, Shuang

AU - Zhou, Yingfang

N1 - This project was supported by the National Natural Science Foundation of China (No. 41572116), the Fundamental Research Funds for the Central Universities, China University of Geosciences, Wuhan) (No. CUG160602).

PY - 2016/8/26

Y1 - 2016/8/26

N2 - A theoretical effective thermal conductivity model is derived based on fractal distribution characteristics of nanoparticle aggregation. Considering two different mechanisms of heat conduction including particle aggregation and convention, the model is expressed as a function of the fractal dimension and concentration. In the model, the change of fractal dimension is related to the variation of aggregation shape. The theoretical computations of the developed model provide a good agreement with the experimental results, which may serve as an effective approach for quantitatively estimating the effective thermal conductivity of nanofluids

AB - A theoretical effective thermal conductivity model is derived based on fractal distribution characteristics of nanoparticle aggregation. Considering two different mechanisms of heat conduction including particle aggregation and convention, the model is expressed as a function of the fractal dimension and concentration. In the model, the change of fractal dimension is related to the variation of aggregation shape. The theoretical computations of the developed model provide a good agreement with the experimental results, which may serve as an effective approach for quantitatively estimating the effective thermal conductivity of nanofluids

KW - Thermal conductivity

KW - Fractal

KW - Aggregation distribution

KW - Aggregation shape

U2 - 10.1016/j.physleta.2016.07.005

DO - 10.1016/j.physleta.2016.07.005

M3 - Article

SN - 0375-9601

VL - 380

SP - 2953

EP - 2956

JO - Physics Letters A

JF - Physics Letters A

IS - 37

ER -

Fractal analysis of the effect of particle aggregation distribution on thermal conductivity of nanofluids

Abstract

Bibliographical note

Keywords

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