可渗透颗粒悬浮液短时扩散和沉降系数的一阶维里展开
First-order virial expansion of short-time diffusion and sedimentation coefficients of permeable particles suspensions
摘要：
对于可渗透颗粒悬浮液，从理论上计算了短时平移和旋转自扩散系数，以及集体扩散和沉降系数。单个颗粒被建模为具有给定渗透率的均匀渗透球体，内部溶剂流动由Debye-Bueche-Brinkman方程描述。假设粒子通过其排除体积非流体动力学地相互作用。的体积分数的幂的输运性质的维里展开进行到两个粒子的水平。一阶维里系数对应于两体流体动力学相互作用的颗粒间距离的倒数幂级数展开进行评估具有非常高的精度。结果得到并讨论了一个广泛的范围内的比例，x，颗粒半径的水动力筛选长度内的可渗透的球体。结果表明，当x >= 10时，输运性质的维里系数可以用我们以前建立的多孔颗粒悬浮液有效粘度的流体动力学半径（环带）模型很好地近似。
英文摘要：
For suspensions of permeable particles, the short-time translational and rotational self-diffusion coefficients, and collective diffusion and sedimentation coefficients are evaluated theoretically. An individual particle is modeled as a uniformly permeable sphere of a given permeability, with the internal solvent flow described by the Debye-Bueche-Brinkman equation. The particles are assumed to interact non-hydrodynamically by their excluded volumes. The virial expansion of the transport properties in powers of the volume fraction is performed up to the two-particle level. The first-order virial coefficients corresponding to two-body hydrodynamic interactions are evaluated with very high accuracy by the series expansion in inverse powers of the inter-particle distance. Results are obtained and discussed for a wide range of the ratio, x, of the particle radius to the hydrodynamic screening length inside a permeable sphere. It is shown that for x >= 10, the virial coefficients of the transport properties are well-approximated by the hydrodynamic radius (annulus) model developed by us earlier for the effective viscosity of porous-particle suspensions.
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。
