颗粒悬浮液的半稀流变学：Doi型模型的推导
Semi-dilute rheology of particle suspensions: derivation of Doi-type models
AI总结：
本文从流体动力学模型出发，通过簇展开与多极展开处理多体流体动力学相互作用，推导出描述非布朗刚性颗粒悬浮液半稀流变行为的Doi型平均场模型，揭示了由颗粒取向分布决定的非牛顿黏度效应。
摘要：
本文致力于研究悬浮于Stokes流中的非布朗无惯性刚性颗粒（可能具有自推进能力）悬浮液的大尺度流变学。从流体动力学模型出发，我们推导出一种半稀平均场描述，其形式为Doi型模型，该模型由一个“宏观”有效Stokes方程与一个描述颗粒位置和取向统计分布的“微观”Vlasov方程耦合而成。该模型能够刻画某些非牛顿效应，因为有效Stokes方程中的黏度通过Einstein公式依赖于颗粒取向的局部分布。主要困难在于对颗粒间多体流体动力学相互作用的细致分析，我们通过在适当的稀薄状态下将簇展开与多极展开相结合来完成这一分析。
英文摘要：
This work is devoted to the large-scale rheology of suspensions of non-Brownian inertialess rigid particles, possibly self-propelling, suspended in Stokes flow. Starting from a hydrodynamic model, we derive a semi-dilute mean-field description in form of a Doi-type model, which is given by a 'macroscopic' effective Stokes equation coupled with a 'microscopic' Vlasov equation for the statistical distribution of particle positions and orientations. This accounts for some non-Newtonian effects since the viscosity in the effective Stokes equation depends on the local distribution of particle orientations via Einstein's formula. The main difficulty is the detailed analysis of multibody hydrodynamic interactions between the particles, which we perform by means of a cluster expansion combined with a multipole expansion in a suitable dilute regime.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
