Hydrodynamics of fractal aggregates with radially varying permeability

被引:222
作者
Veerapaneni, S [1 ]
Wiesner, MR [1 ]
机构
[1] RICE UNIV,DEPT ENVIRONM SCI & ENGN,HOUSTON,TX 77251
关键词
fractal; aggregate; hydrodynamics; permeability; drag;
D O I
10.1006/jcis.1996.0005
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Hydrodynamic properties of fractal aggregates with radially varying permeability are investigated in terms of two parameters: radius of equivalent solid sphere experiencing the same drag as the aggregate (Omega*radius of aggregate) and fluid collection efficiency (eta) of the aggregate. Resistance to the fluid flow through the aggregate is predicted to increase with increasing fractal dimension, while the fluid collection efficiency is expected to decrease. It is shown that a reasonable estimate of the fluid drag force on a fractal aggregate may be obtained by assigning a constant volume-averaged porosity to the aggregate and using any of the expressions available in the literature for aggregates with uniform permeability. The two hydrodynamic parameters, Omega acid eta, are used to modify the existing expressions for interactions between solid spheres to account for the porous nature of aggregates and thus calculate the collision rate kernels for interacting aggregates. The ratio of hydrodynamic radius of an aggregate to its radius of gyration predicted by the proposed model was in reasonable agreement with an experimental value reported in the literature. (C) 1996 Academic Press, Inc.
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页码:45 / 57
页数:13
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