颗粒尺寸效应对纳米流体导热系数和黏度系数的影响研究综述

Effect of particle size on the thermal conductivity and viscosity of nanofluids: A review

  • 摘要: 纳米流体作为一种新兴的传热传质介质,在工程领域展现出广泛的应用前景,而其物性参数的精准表达是研究的关键问题. 本文结合实验数据、理论模型和经验关联式,系统分析了颗粒尺寸对纳米流体有效导热系数和黏度系数的影响,并探讨了颗粒形状因子、体积分数和温度等因素的作用机制. 研究表明,颗粒尺寸对不同物性参数的响应存在显著差异. 导热系数受到界面散射、界面热阻和布朗运动等因素的共同影响,因此存在一个最优颗粒尺寸,以实现最大化传热效率;而黏度系数由于颗粒界面效应的复杂性,其随颗粒尺寸变化的趋势尚无统一结论. 目前,大部分研究发现黏度随颗粒的增大而增加,而另一些研究则发现较小颗粒由于更大的表面积导致界面阻力增加,从而提高了黏度. 本文还对不同颗粒尺寸条件下的部分实验数据、经典理论模型和经验关联式进行了对比分析,结果表明,传统理论模型在描述纳米流体物性变化方面存在一定局限,而经验关联式能够更准确地拟合实验结果,并能够将微观尺度上的颗粒尺寸变化反映到宏观物性参数的模型中. 通过系统分析颗粒尺寸对纳米流体物性的调控机制,本研究为纳米流体在传热传质及其他应用场景中的优化设计和数值模拟提供了重要参考.

     

    Abstract: Nanofluids, recognized as advanced media for heat and mass transfer, have demonstrated substantial potential across diverse engineering applications, particularly in scenarios demanding enhanced thermal management and improved energy efficiency. Nevertheless, their deployment relies on the precise characterization of thermophysical properties governed by nanoscale phenomena, including particle size, morphology, dispersion stability, and interfacial dynamics. This paper presents an analysis that integrates experimental observations, multiscale theoretical frameworks, and empirical correlations to investigate how nanoparticle size influences the effective thermal conductivity and dynamic viscosity, while also examining the roles of particle shape factor, volume fraction, temperature, phonon matching, and aggregation dynamics. The experimental results confirm that the thermal conductivity increases as the particle size decreases and the volume fraction increases, owing to the elevated surface-to-volume ratio and intensified Brownian motion-induced microconvection. This effect is further amplified at higher temperatures, which enhances the Brownian activity. A pronounced nonmonotonic relationship emerges, revealing an optimal particle diameter of approximately 50 nm at which ballistic phonon transport—activated when the particle dimensions approach the phonon mean free path of the base fluid—minimizes interfacial thermal resistance and maximizes heat transfer. Nanoparticles smaller than this threshold incur excessive interface scattering, which limits conductivity, whereas larger particles exhibit weakened Brownian contributions and greater sedimentation tendencies. Additionally, phonon frequency matching between the nanoparticle and the base fluid has been shown to critically affect thermal transport, such that even materials with lower intrinsic conductivity can yield superior performance when well matched. Beyond conductivity, nanoparticle aggregation at high volume fractions forms fractal-like conductive networks that further boost heat transfer but simultaneously increase viscosity through intensified hydrodynamic drag and interparticle friction, underscoring the importance of optimizing both particle concentration and aggregation state. Viscosity measurements revealed that the dynamic viscosity increased with the volume fraction and decreased with the temperature, reflecting enhanced particle interactions and reduced Brownian mobility under high loading and low thermal conditions. While most studies, including this one, observed that the viscosity increases with the particle size, primarily owing to enhanced hydrodynamic resistance, certain investigations demonstrated that exceptionally small particles may also elevate the viscosity because their high surface-to-volume ratios intensify interfacial molecular ordering and localized shear effects. These discrepancies are largely attributable to variations in dispersion stability and aggregation kinetics, with poorly stabilized suspensions showing significant viscosity deviations compared with well-dispersed systems. Classical theoretical models, such as the Maxwell–Garnett and Bruggeman models, are inadequate for capturing these complex behaviors because they ignore size-dependent interfacial effects and dynamic particle–fluid coupling, whereas empirical correlations that incorporate particle size parameters, temperature-dependent Brownian coefficients, and aggregation dynamics achieve prediction errors below 8% across diverse compositions. Sensitivity analyses demonstrated that slight deviations in the nanoparticle diameter could shift the optimal performance thresholds, highlighting the necessity for precise size control during synthesis. Furthermore, preliminary comparisons among spherical, rod-like, and plate-shaped particles suggest that the morphology can modulate both the thermal conductivity and viscosity, with cubic or high-aspect-ratio geometries offering enhanced conductivity at similar volume fractions but exhibiting limited influence on the viscosity at low loadings. By systematically mapping the interdependencies among nanoparticle size, thermal conductivity, viscosity, phonon matching, and aggregation, this study advances actionable strategies for optimized nanofluid design, including recommendations for maintaining moderate volume concentrations of optimally sized particles, employing surface functionalization to stabilize dispersions, and exploring hybrid particle systems to decouple thermal and viscous responses.

     

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