Developing a novel form of thermal conductivity of nanofluids with Brownian motion effect by means of fractal geometry

Developing a novel form of thermal conductivity of nanofluids with Brownian motion effect by means of fractal geometry
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利用分形几何开发具有布朗运动效应的纳米流体导热性的新形式

DOI:
10.1016/j.powtec.2013.02.029
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发表时间:
2013-05
期刊:
影响因子:
5.2
通讯作者:
Lingxia Chen
Lingxia Chen
中科院分区:
工程技术2区
文献类型:
--
作者:
Boqi Xiao(肖波齐);Yi Yang;Lingxia Chen

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考虑纳米颗粒的布朗运动效应,得到了纳米流体有效导热系数的解析模型。考虑到纳米颗粒的分形分布,给出了计算纳米流体有效导热系数的公式。在本方法中,所提出的模型是明确相关的基础流体和纳米颗粒的导热系数,纳米颗粒的平均直径,纳米颗粒的浓度,纳米颗粒的分形维数和流体的物理性质。结果表明,纳米流体的有效导热系数随纳米颗粒浓度的增加而增大。在一定浓度下,纳米流体的有效导热系数随纳米颗粒粒径的增大而增大。实验结果与模型预测值吻合较好,验证了纳米流体有效导热系数分形模型的有效性。分形模型可以揭示纳米流体传热的物理机制。
Considering the effect of Brownian motion of nanoparticles, an analytical model for effective thermal conductivity of nanofluids is obtained. The formula of calculating effective thermal conductivity of nanofluids is given by taking into account the fractal distribution of nanoparticles. In the present approach, the proposed model is explicitly related to the thermal conductivities of the base fluids and the nanoparticles, the average diameter of nanoparticles, the nanoparticle concentration, the fractal dimension of nanoparticles and physical properties of fluids. It is found that the effective thermal conductivity of nanofluids increases with increasing of the concentration of nanoparticles. And the effective thermal conductivity of nanofluids for the smaller size of nanoparticles is larger than the bigger size at given concentration. A good agreement between the proposed model predictions and experimental data is found. The validity of the fractal model for effective thermal conductivity of nanofluids is thus verified. The proposed fractal model can reveal the physical mechanisms of heat transfer for nanofluids.
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