Evaluation of tortuosity factors and effective diffusivities in biofilms
Evaluation of tortuosity factors and effective diffusivities in biofilms
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DOI：
10.1016/0043-1354(94)90043-4
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发表时间：
1994-11
期刊：
影响因子：
12.8
通讯作者：
Tian C. Zhang;P. Bishop
中科院分区：
文献类型：
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作者：
Tian C. Zhang;P. Bishop
本文开发了圆柱模型 (CM) 和随机多孔簇模型 (RPCM)，用于根据可测量的生物膜特性来评估生物膜内的弯曲度、弯曲度因子和有效扩散率。生物膜的弯曲系数以及有效扩散率与本体溶液中扩散率的比率 (De/Db) 可以通过使用本文提出的 CM 从生物膜孔隙率数据进行评估。曲折度和有效扩散率都取决于生物膜的密度和孔隙率。根据CM，对于顶层孔隙率为0.84-0.93、底层孔隙率为0.58-0.67的生物膜，弯曲因子从1.15增加到大约1.6，而(De/Db)比值从顶层的68-81%下降到底层的38-45%。生物膜特性的空间分布直接影响有效性因子分布。使用不正确的 (De/Db) 比率会导致错误的建模结果。
A cylindrical model (CM) and a random porous cluster model (RPCM) have been developed in this paper to evaluate tortuosities, tortuosity factors, and effective diffusivities within biofilms, based on measurable biofilm properties. The tortuosity factor and the ratio of effective diffusivities to diffusivities in bulk solution (De/Db) of the biofilm can be evaluated from biofilm porosity data by employing the CM presented in this paper. Both tortuosities and effective diffusivities depend on the densities and porosities of biofilms. For biofilms with porosities of 0.84–0.93 in the top layers and 0.58–0.67 in the bottom layer, it was found that tortuosity factors increase from 1.15 to approximately 1.6, while ratios of (De/Db) decrease from 68–81% in the top layer to 38–45% in the bottom layer, based on the CM. The spatial distributions of biofilm properties affect the effectiveness factor profiles directly. Using incorrect ratios of (De/Db) would result in false modeling results.