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首页> 外文期刊>Applied Mathematical Modelling >Slow viscous flow through a membrane built up from porous cylindrical particles with an impermeable core
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Slow viscous flow through a membrane built up from porous cylindrical particles with an impermeable core

机译：缓慢的粘性流动通过带有不渗透核的多孔圆柱颗粒构建的膜

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This paper concerns the slow viscous flow through an aggregate of concentric clusters of porous cylindrical particles with Happel boundary condition. An aggregate of clusters of porous cylindrical particles is considered as a hydro-dynamically equivalent to solid cylindrical core with concentric porous cylindrical shell. The Brinkman equation inside the porous cylindrical shell and the Stokes equation outside the porous cylindrical shell in their stream function formulations are used. The drag force acting on each porous cylindrical particle in a cell is evaluated. In certain limiting cases, drag force converges to pre-existing analytical results, such as, the drag on a porous circular cylinder and the drag on a solid cylinder in a Happel unit cell. Representative results are then discussed and presented in graphical forms. The hydrodynamic permeability of the membrane built up from porous particles is evaluated. The variation of hydrodynamic permeability with different parameters is graphically presented. Some new results are reported for flow pattern in the porous region. Being in resemblance with the model of colloid particles with a coating of porous layers due to adsorption phenomenon, results obtained through this model can be useful to study the membrane filtration process.
机译：本文涉及通过具有Happel边界条件的多孔圆柱颗粒的同心簇聚集体的缓慢粘性流动。多孔圆柱形颗粒簇的聚集体被认为在流体力学上等同于具有同心多孔圆柱形壳的固体圆柱形核。在它们的流函数公式中，使用了多孔圆柱壳内部的Brinkman方程和多孔圆柱壳外部的Stokes方程。评估作用在电池中的每个多孔圆柱颗粒上的阻力。在某些极限情况下，阻力会收敛到预先存在的分析结果，例如Happel晶胞中多孔圆柱体上的阻力和实心圆柱体上的阻力。然后讨论代表性结果并以图形形式显示。评价由多孔颗粒构成的膜的水动力渗透性。用图形表示了水动力渗透率随不同参数的变化。据报道，在多孔区域的流动模式有一些新的结果。由于吸附现象，胶体颗粒的模型与多孔层涂层的模型相似，通过该模型获得的结果可用于研究膜过滤过程。

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