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摘要

纳米流体中悬浮的纳米颗粒可以增强其导热性能已经得到广泛认可, 然而纳米流体颗粒增强传热的机理目前尚不清楚. 研究表明, 纳米颗粒的聚集是纳米流体导热系数增大的重要机制, 而且纳米颗粒聚集的形态对纳米流体的导热系数有重要影响, 但是目前的导热系数模型大多是建立在Maxwell有效介质理论的“静态”和“均匀分散”假设基础上. 本文用平衡分子动力学模拟Cu-Ar纳米流体, 采用Green-Kubo公式计算导热系数, 采用Schmidt-Ott关系式计算不同聚集形态下的分形维数. 对比导热系数与分形维数可以发现: 在相同体积分数下, 较低的分形维数会有更高的导热系数, 分析了分形维数与导热系数的定量关系. 此外, 通过径向分布函数可以看出纳米颗粒紧密聚集与松散聚集的差异, 基液分子在纳米颗粒附近的纳米薄层中处于动态平衡状态. 研究结果有助于理解纳米颗粒聚集形态对导热系数的影响机理.

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Abstract

The great interest of many researchers has been aroused in recent two decades due to the great heat transfer enhancement of nanofluid as a heat transfer medium. The reason why the nanofluid can enhance heat transfer is that a number of nanoparticles are suspended in the carry fluid. Most of researchers believe that the microconvection induced by Brownian motion of nanoparticle, the nanolayer around the nanoparticle, the aggregation of nanoparticles and near-field radiation are the underlying mechanisms for heat transfer enhancement by nanofluid. However, contradictories and inconsistencies among experimental results, theoretical results and numerical results are existent commonly because the mechanism of heat transportation by nanoparticles remains unclear so far. Quite a few researches have proven that the aggregation of nanoparticles is one of the important mechanisms for elevating the effective thermal conductivity (ETC) of nanofluid. However, the aggregation morphology (AM) of nanoparticles evaluated by fractal dimension (FD) will greatly influence the thermal conductivity of nanofluid. Unfortunately, all of the existing ETC models are based on the effective medium theory under the assumption of " static state” and " homo-dispersion”. In the present work, equilibrium molecular dynamics (EMD) simulations are carried out to calculate the thermal conductivity of Cu-Ar nanofluid via Green-Kubo formula. In existing researches, fractal dimensions of the aggregations with various morphologies are obtained by Schmidt-Ott equation. Comparisons between the ETC and FD of the nanofluid with same volume fraction show that lower FD can possess greater ETC. It is the first time that the quantitative relationship between ETC and FD has been analyzed. In addition, the difference between loose and compact aggregation can be read out of the pair correlation function near nanoparticles. And the solvent atoms in nanolayer are mobilized and dynamically balanced. The results obtained in the present research are conducible to understanding the influence of AM of nanoparticles on the ETC of nanofluid.

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作者及机构信息

通信作者:王瑞金,wangrj@hdu.edu.cn

基金项目:国家自然科学基金(批准号: 11572107)资助的课题.

Authors and contacts

Corresponding author:Wang Rui-Jin,wangrj@hdu.edu.cn

Funds:Project supported by the National Natural Science Foundation of China (Grant No. 11572107).

文章全文: translate this paragraph

参考文献

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施引文献

下载: 全尺寸图片幻灯片

原子	$\varepsilon $/10^–2eV	$\sigma $/nm
Ar-Ar	1.0437	0.3405
Cu-Cu	41.0156	0.2338
Ar-Cu	6.5429	0.2871

下载: 导出CSV

体积分数	2%					3%					4%
颗粒数目	3		4			3		4			3		4
聚集形态
分形维数	1.07	1.72	1.36	1.55	1.70	1.06	1.75	1.48	1.69	1.90	1.06	1.72	1.34	1.59	2.01
导热系数/W·m^–1·K^–1)	0.168	0.172	0.194	0.189	0.171	0.235	0.216	0.241	0.221	0.217	0.268	0.253	0.254	0.246	0.242

下载: 导出CSV

聚集方式
分形维数	1.31	1.33	1.39	1.45	1.60	1.67	1.98
导热系数/W·m^–1·K^–1)	0.321	0.335	0.315	0.294	0.278	0.271	0.252

下载: 导出CSV

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