Motions of a porous particle in stokes flow: Part 1. Unbounded single-fluid domain problem
Motions of a porous particle in stokes flow: Part 1. Unbounded single-fluid domain problem
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斯托克斯流中多孔颗粒的运动：第 1 部分：无界单流体域问题
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
W. Hong
中科院分区：
文献类型：
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作者：
Seung‐Man Yang;W. Hong
本文利用本征函数展开方法，对具有均匀渗透率分布的无边界不可压缩黏性流体在低雷诺数下的各种线性和二次流动，得到了封闭形式的精确解。这里考虑的线性流动是一个简单的剪切和轴对称单轴应变流动，二次流动包括一个单向抛物面和一个典型的停滞状流动。理论分析确定了自由悬浮粒子在规定的无穷远平均流中的一般运动。然后用Slokes流的基本奇异解来表示这些解，这将在本文的下一部分应用于研究平面流体-流体界面存在时多孔球体的运动。
Exact solutions in closed form have been found using the eigenfunction-expansion method for various linear and quadratic flows of anunbounded incompressible viscous fluid at low Reynolds number past aporous sphere with a uniform permeability distribution. The linear flows considered here are a simple shear and an axisymmetric uniaxial straining flows and the quadratic flows include a unidirectional paraboloidal and a stagnation-like flows as typical representations. The theoretical analysis determines a general motion of a freely suspended particle in the prescribed mean flow at infinity. Then the solutions are expressed in terms of fundamental singularity solutions for Slokes flow which will be applied to examine the motion of a porous sphere in the presence of a plane fluid-fluid interface in the forthcoming part of the present paper.