Department of Mathematics, University of Allahabad, UP, India.
Adv Colloid Interface Sci. 2011 May 11;164(1-2):21-37. doi: 10.1016/j.cis.2010.08.004. Epub 2010 Aug 13.
A hydrodynamic permeability of membranes built up by porous cylindrical or spherical particles with impermeable core is investigated. Different versions of a cell method are used to calculate the hydrodynamic permeability of the membranes. Four known boundary conditions, namely, Happel's, Kuwabara's, Kvashnin's and Cunningham/Mehta-Morse's, are considered on the outer surface of the cell. Comparison of the resulting hydrodynamic permeability is undertaken. A possible jump of a shear stress at the fluid-membrane interface, its impact on the hydrodynamic permeability is also investigated. New results related to the calculated hydrodynamic permeability and the theoretical values of Kozeny constant are reported. Both transversal and normal flows of liquid with respect to the cylindrical fibers that compose the membrane are studied. The deduced theoretical results can be applied for the investigation of the hydrodynamic permeability of colloidal cake layers on the membrane surface, the hydrodynamic permeability of woven materials.
研究了由具有不可渗透核心的多孔圆柱或球形颗粒构成的膜的流体动力学渗透率。使用不同版本的单元法来计算膜的流体动力学渗透率。考虑了在单元外表面上的四种已知边界条件，即哈贝尔（Happel）、桑原（Kuwabara）、克瓦什宁（Kvashnin）和坎宁安/梅塔-莫尔斯（Cunningham/Mehta-Morse）边界条件。对得到的流体动力学渗透率进行了比较。还研究了在流体-膜界面处剪切应力的可能跃变及其对流体动力学渗透率的影响。报道了与计算得到的流体动力学渗透率和科泽尼常数的理论值有关的新结果。研究了相对于构成膜的圆柱纤维的横向和法向液体流动。推导的理论结果可用于研究膜表面上胶体滤饼层的流体动力学渗透率、机织材料的流体动力学渗透率。
