Dynamic Theory of Suspensions with Brownian Effects
Dynamic Theory of Suspensions with Brownian Effects
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DOI：
10.1137/0143057
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发表时间：
1983-08
影响因子：
1.9
通讯作者：
R. Caflisch;G. Papanicolaou
中科院分区：
文献类型：
--
作者：
R. Caflisch;G. Papanicolaou
我们考虑粒子在流体中的悬浮，在重力的影响下沉降，并通过布朗运动分散。由Stokes方程和Fokker-Planck方程给出了单粒子相空间密度的数学描述。这是一个依赖于粒子空间浓度的多个参数函数的非线性系统。这些功能只有经验性的或稀释液才知道。我们从更微观的角度分析了系统的稳定性、在不同尺度下的渐近行为以及系统的有效性。最后对本文的结论进行了总结。
We consider a suspension of particles in a fluid settling under the influence of gravity and dispersing by Brownian motion. A mathematical description is provided by the Stokes equations and a Fokker–Planck equation for the one-particle phase space density. This is a nonlinear system that depends on a number of parametric functions of the spatial concentration of the particles. These functions are known only empirically or for dilute suspensions. We analyze the system, its stability, its asymptotic behavior under different scalings and its validity from more microscopic description. We summarize our conclusions at the end.