Here, we consider the empirical relationships presented earlier in the literature that describe the thermophysical properties of H₂O + Al₂O₃ nanofluids, such as viscosity and heat conductivity coefficients. The main parameters affecting these properties of nanofluid are considered to be the volume fraction of particles ϕ, fluid temperature T, and particle size d_p. The suitability of approximation formulas for calculating the viscosity and heat conductivity coefficients is determined by comparing the data calculated by these formulas with the experimental results. The behavior of the analytical curves of thermophysical coefficients is analyzed in the following ranges of influencing parameters: 0 < ϕ ≤ 0.1, 280 K ≤ T ≤ 360 K, 1 nm ≤ d_p ≤ 100 nm. Estimates of the degree of dependence of calculation results on the values of these parameters are given. Conclusions on the qualitative and quantitative reliability of the correlation formulas proposed in the literature, as well as on the limits of their applicability in the ranges of variation of the influencing parameters are drawn.

中文翻译：

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氧化铝纳米颗粒水悬浮液热物理性质的经验相关性分析

在这里，我们考虑了文献中较早提出的描述H ₂ O + Al ₂ O ₃纳米流体的热物理性质（如粘度和导热系数）的经验关系。影响纳米流体这些特性的主要参数被认为是颗粒的体积分数ϕ，流体温度T和粒径d _p。通过将由这些公式计算出的数据与实验结果进行比较，可以确定用于计算粘度和导热系数的近似公式的适用性。热物系数的分析曲线的行为分析中的影响参数的下列范围内：0 < φ ≤0.1，280ķ≤ Ť ≤360 K，1纳米≤ d _p ≤100纳米。给出了计算结果对这些参数值的依赖性程度的估计。得出了有关文献中提出的相关公式的定性和定量可靠性的结论，以及它们在影响参数变化范围内的适用性限制的结论。