Diffusion in a laminar flow: Shear rate dependence of correlation functions and of effective transport coefficients
Diffusion in a laminar flow: Shear rate dependence of correlation functions and of effective transport coefficients
复制标题
层流中的扩散：相关函数和有效传输系数的剪切率依赖性
DOI：
--
复制
发表时间：
1984
期刊：
影响因子：
--
通讯作者：
J. Rainwater
中科院分区：
文献类型：
--
作者：
S. Hess;J. Rainwater
在Fourier空间中，利用非对易算子指数乘积的Campbell-Baker-Hausdorff展开式，求解了受平面Couette剪切流作用的流体中悬浮的独立布朗粒子的扩散方程.显式的解决方案推导和数值计算的初始高斯分布，没有源和连续的固定源与高斯空间分布。对于后一个问题，详细分析了描述原点处稳态分布曲率的张量，并表明其对剪切速率的依赖性与汉利和埃文斯在剪切下简单液体的计算机模拟中获得的压力张量非常相似。
The diffusionequation for independent Brownian particles suspended in a fluid undergoing plane Couetteshear flow is solved in Fourier space by means of the Campbell–Baker–Hausdorff expansion for the product of exponentials of noncommuting operators. Explicit solutions are derived and numerically evaluated for an initial Gaussian distribution with no source and for a continuous stationary source with a Gaussian spatial distribution. For the latter problem, the tensor describing the curvature of the steady‐state distribution at the origin is analyzed in some detail and is shown to possess a dependence on shear rate very similar to that of the pressure tensor obtained in computer simulations of simple liquids under shear by Hanley and Evans.