Abstract
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.
Original language | English (US) |
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Pages (from-to) | 4461-4478 |
Number of pages | 18 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 38 |
Issue number | 18 |
DOIs | |
State | Published - Dec 1 2015 |
Keywords
- 3-D simulations
- biofilms
- finite difference method
- hydrodynamics
- modeling
ASJC Scopus subject areas
- General Mathematics
- General Engineering