An analytic form for the pair distribution function and rheology of a dilute suspension of rough spheres in plane strain flow
An analytic form for the pair distribution function and rheology of a dilute suspension of rough spheres in plane strain flow
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平面应变流中粗球稀悬浮液的配对分布函数和流变学的解析形式
DOI：
10.1017/s0022112005004623
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发表时间：
2005
影响因子：
3.7
通讯作者：
H. Wilson
中科院分区：
文献类型：
--
作者：
H. Wilson
本文研究了平面应变流中颗粒间接触对小球悬浮体应力的影响。给出了无布朗运动情况下粒子对分布函数的解析形式，并在此基础上计算了粘性和法向应力差。我们表明，粘度降低接触，和一个正常的应力差诱导，无论是在订单c^2 $为小颗粒体积浓度$c$。此外，我们调查了少量的扩散的分布函数的结构上的效果，给出了一个自洽的形式的密度在$O（aPe^{-1}）$边界层，并证明扩散降低了接触效应的大小，但不定性地改变它。
The effect of particle–particle contact on the stress of a suspension of small spheres in plane strain flow is investigated. We provide an analytic form for the particle pair distribution function in the case of no Brownian motion, and calculate the viscosity and normal stress difference based on this. We show that the viscosity is reduced by contact, and a normal stress difference induced, both at order $c^2$ for small particle volume concentration $c$. In addition, we investigate the effect of a small amount of diffusion on the structure of the distribution function, giving a self-consistent form for the density in the $O(aPe^{-1})$ boundary layer and demonstrating that diffusion reduces the magnitude of the contact effect but does not qualitatively alter it.