悬浮液的输运性质-Beenakker-Mazur 方法的临界评估。

Transport properties of suspensions-critical assessment of Beenakker-Mazur method.

机构信息

Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Hoża 69, 00-681 Warsaw, Poland.

出版信息

J Chem Phys. 2012 Nov 14;137(18):184902. doi: 10.1063/1.4764303.

Abstract

The Beenakker-Mazur method of calculation of transport coefficients for suspensions has been analyzed. The analysis relies on calculation of the hydrodynamic function and the effective viscosity with higher accuracy and comparison of these characteristics to the original Beennakker-Mazur results. Comparison to numerical simulations is also given. Our calculations go along with the idea of Beenakker and Mazur, but avoid unnecessary approximations. Our higher accuracy results differ significantly from results obtained initially by Beenakker and Mazur for volume fractions φ > 25%. Moreover, our results agree with the precise numerical simulations of Abade and Ladd for volume fractions φ < 15% and volume fractions φ ≈ 45%, whereas for volume fractions 15% < φ < 40%, we observe pronounced discrepancies.

摘要

Beenakker-Mazur 方法用于计算悬浮液的输运系数已经得到了分析。该分析依赖于更高精度的流体动力函数和有效粘度的计算，并将这些特性与原始 Beenakker-Mazur 的结果进行比较。同时还给出了与数值模拟的比较。我们的计算与 Beenakker 和 Mazur 的想法一致，但避免了不必要的近似。我们的高精度结果与 Beenakker 和 Mazur 最初得到的结果有显著差异，特别是在体积分数φ>25%时。此外，我们的结果与 Abade 和 Ladd 的精确数值模拟在体积分数φ<15%和φ≈45%时相符，而在体积分数 15%<φ<40%时，我们观察到了显著的差异。