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A correlation approach for the calculation of thermal conductivity of nanofluids as a function of dynamic viscosity
Journal of the Brazilian Society of Mechanical Sciences and Engineering ( IF 2.2 ) Pub Date : 2021-04-05 , DOI: 10.1007/s40430-021-02940-7
Melda Ozdinc Carpinlioglu , Mahmut Kaplan

A correlation approach for the calculation of thermal conductivity of nanofluids as a function of dynamic viscosity is presented in this paper due to the significance of the nanofluids in energy systems. Available experimental data of relevant literature are used in terms of second order polynomial fit of the least-squares sense through the commercial software of MATLAB. The data belong to a variety of nanoparticles used in water (W) and ethylene glycol (EG)/ethylene glycol-water (EG-W) base fluids. Graphical plots of relative thermal conductivity, kr and relative dynamic viscosity, µr are given as a function of nanoparticle volume fraction φ as a common route. The fitted equations are used to calculate kr and µr in an extended range of 0% ≤ φ ≤ 55%. The validity range is given as a temperature range T of 20–50 °C and nanoparticle size range of 5–100 nm. The proposed non-dimensional equations of kr = kr (µr) for W-based and EG/EG-W-based nanofluids have a severe difference indicating the major influence of base fluid. It is possible to calculate kr with the known or estimated value of µr or vice versa as a solid contribution the state of art. The correlations also reflect the influence of viscosity on thermal enhancement of nanofluids as a physical fact of practice provided.



中文翻译:

一种用于计算纳米流体导热系数与动态粘度的函数的相关方法

由于纳米流体在能源系统中的重要性,本文提出了一种计算纳米流体导热系数与动态粘度的函数的相关方法。通过MATLAB的商业软件,根据最小二乘意义的二阶多项式拟合,使用了相关文献的可用实验数据。数据属于在水(W)和乙二醇(EG)/乙二醇-水(EG-W)基础流体中使用的各种纳米粒子。相对热导率k r和相对动态粘度µ r的图形表示为纳米颗粒体积分数φ的函数。拟合方程用于计算k rμ - [R在0%≤扩展范围 φ  ≤55%。给出的有效范围是温度范围T为20–50°C,纳米颗粒大小范围为5–100 nm。对于基于W和基于EG / EG-W的纳米流体,提出的k r  =  k rµ r)的无量纲方程存在严重差异,表明基础流体的主要影响。它可以计算ķ ř与已知或估计值μ - [R或反之亦然,为固体贡献现有技术的状态。作为提供的物理事实,相关性还反映出粘度对纳米流体的热增强的影响。

更新日期:2021-04-05
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