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首页> 外文期刊>Transport in Porous Media >Slow Motion of an Assemblage of Porous Spherical Shells Relative to a Fluid
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Slow Motion of an Assemblage of Porous Spherical Shells Relative to a Fluid

机译：多孔球壳组合相对于流体的慢运动

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摘要

The body-force-driven motion of a homogeneous distribution of spherically symmetric porous shells in an incompressible Newtonian fluid and the fluid flow through a bed of these shell particles are investigated analytically. The effect of the hydrodynamic interaction among the porous shell particles is taken into account by employing a cell-model representation. In the limit of small Reynolds number, the Stokes and Brinkman equations are solved for the flow field around a single particle in a unit cell, and the drag force acting on the particle by the fluid is obtained in closed forms. For a suspension of porous spherical shells, the mobility of the particles decreases or the hydrodynamic interaction among the particles increases monotonically with a decrease in the permeability of the porous shells. The effect of particle interactions on the creeping motion of porous spherical shells relative to a fluid can be quite significant in some situations. In the limiting cases, the analytical solution describing the drag force or mobility for a suspension of porous spherical shells reduces to those for suspensions of impermeable solid spheres and of porous spheres. The particle-interaction behavior for a suspension of porous spherical shells with a relatively low permeability may be approximated by that of permeable spheres when the porous shells are sufficiently thick.
机译：解析地研究了不可压缩牛顿流体中球形对称多孔壳均匀分布的体力驱动运动以及流过这些壳颗粒床的流体。通过采用细胞模型表示法考虑了多孔壳颗粒之间的流体动力相互作用的影响。在较小的雷诺数的限制下，求解了单位池中单个粒子周围的流场的Stokes和Brinkman方程，并以闭合形式获得了流体作用于粒子的阻力。对于多孔球形壳的悬浮液，随着多孔壳的渗透性的降低，颗粒的迁移率降低或颗粒之间的流体动力学相互作用单调增加。在某些情况下，粒子相互作用对多孔球形壳相对于流体的蠕变运动的影响可能非常明显。在有限的情况下，描述多孔球形壳悬浮液的阻力或迁移率的分析解决方案减少到不渗透性固体球体和多孔球形悬浮液的描述性。当多孔壳足够厚时，具有相对低渗透性的多孔球形壳的悬浮液的颗粒相互作用行为可以通过渗透性球近似。

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