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顆粒尺寸效應對納米流體導熱系數和黏度系數的影響研究綜述

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

  • 摘要: 納米流體作為一種新興的傳熱傳質介質,在工程領域展現出廣泛的應用前景,而其物性參數的精準表達是研究的關鍵問題. 本文結合實驗數據、理論模型和經驗關聯式,系統分析了顆粒尺寸對納米流體有效導熱系數和黏度系數的影響,并探討了顆粒形狀因子、體積分數和溫度等因素的作用機制. 研究表明,顆粒尺寸對不同物性參數的響應存在顯著差異. 導熱系數受到界面散射、界面熱阻和布朗運動等因素的共同影響,因此存在一個最優顆粒尺寸,以實現最大化傳熱效率;而黏度系數由于顆粒界面效應的復雜性,其隨顆粒尺寸變化的趨勢尚無統一結論. 目前,大部分研究發現黏度隨顆粒的增大而增加,而另一些研究則發現較小顆粒由于更大的表面積導致界面阻力增加,從而提高了黏度. 本文還對不同顆粒尺寸條件下的部分實驗數據、經典理論模型和經驗關聯式進行了對比分析,結果表明,傳統理論模型在描述納米流體物性變化方面存在一定局限,而經驗關聯式能夠更準確地擬合實驗結果,并能夠將微觀尺度上的顆粒尺寸變化反映到宏觀物性參數的模型中. 通過系統分析顆粒尺寸對納米流體物性的調控機制,本研究為納米流體在傳熱傳質及其他應用場景中的優化設計和數值模擬提供了重要參考.

     

    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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