3-D spatio-temporal structures of biofilms in a water channel

被引:7
|
作者
Chen, Chen [1 ]
Hou, Shuyu [2 ]
Ren, Dacheng [2 ]
Ren, Mingming [3 ,4 ]
Wang, Qi [3 ,5 ,6 ,7 ]
机构
[1] Univ S Carolina, Dep Math, Columbia, SC 29208 USA
[2] Syracuse Univ, Dept Chem Engn, Syracuse, NY 13244 USA
[3] Beijing Computat Sci Res Ctr, Beijing 100084, Peoples R China
[4] Nankai Univ, Sch Software, Tianjin 300071, Peoples R China
[5] Univ S Carolina, Interdisciplinary Math Inst, Dept Math, Columbia, SC 29208 USA
[6] Univ S Carolina, NanoCtr, Columbia, SC 29208 USA
[7] Nankai Univ, Sch Math, Tianjin 300071, Peoples R China
基金
美国国家科学基金会;
关键词
biofilms; finite difference method; hydrodynamics; modeling; 3-D simulations; NUMERICAL SIMULATIONS; NONUNIFORM SYSTEM; FREE-ENERGY;
D O I
10.1002/mma.2828
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We develop a numerical predictive tool for multiphase fluid mixtures consisting of biofilms grown in a viscous fluid matrix by implementing a second-order finite difference discretization of the multiphase biofilm model developed recently on a general purpose graphic processing unit. With this numerical tool, we study a 3-D biomass-flow interaction resulting in biomass growth, structure formation, deformation, and detachment phenomena in biofilms grown in a water channel in quiescent state and subject to a shear flow condition, respectively. The numerical investigation is limited in the viscous regime of the biofilm-solvent mixture. In quiescent flows, the model predicts growth patterns consistent with experimental findings for single or multiple adjacent biofilm colonies, the so-called mushroom shape growth pattern. The simulated biomass growth both in density and thickness matches very well with the experimentally grown biofilm in a water channel. When shear is imposed at a boundary, our numerical studies reproduce wavy patterns, pinching, and streaming phenomena observed in biofilms grown in a water channel. Copyright (C) 2014 John Wiley & Sons, Ltd.
引用
收藏
页码:4461 / 4478
页数:18
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