Flow-Induced Deformations Within Random Packed Beds of Spheres

被引:0
作者
V. Frishfelds
J. G. I. Hellström
T. S. Lundström
机构
[1] Liepaja University,Faculty of Natural Sciences
[2] Luleå University of Technology,Division of Fluid and Experimental Mechanics
来源
Transport in Porous Media | 2014年 / 104卷
关键词
Flow-induced deformation; Packed beds; Voronoi diagrams; Dual stream function;
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学科分类号
摘要
Low Reynolds number flow-induced alterations of permeability of random packing of mono-sized spheres is studied. The number of spheres is several thousands and the porosities ranges between 0.4 and 0.6. The change of permeability is obtained for elastic deformations of the positions of the spheres using either of two methods. Each sphere is elastically attached to single points or the spheres that are connected via an elastic porous network. The system of spheres is divided into smaller volumes with Voronoi diagrams and the flow is derived by usage of a dual stream function. The local saturated flow fields are approximated as for close packed spheres and the overall flow pattern is obtained by minimising the dissipation rate of energy. The results show that the permeability for large random systems increases as a function of velocity and thus the deformation. The alteration is, however, much less than for two-dimensional cases like parallel cylinders. The relative increase in permeability becomes larger as the porosity increases from 0.4 to 0.6.
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页码:43 / 56
页数:13
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