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Effect of Fouling on Stability of Bioconvection of Gyrotactic Microorganisms in a Porous Medium

巻 8, 発行 1, 2005, pp. 45-53
DOI: 10.1615/JPorMedia.v8.i1.40
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要約

The main objective of this article is to investigate the effect of fouling on the stability of a uniform suspension of gyrotactic motile microorganisms in a fluid-saturated porous medium. Fouling occurs because of the deposition of microorganisms on a porous matrix. This deposition decreases porosity and permeability of the porous medium. Stability analysis carried out in this article reveals that there is a critical porosity of the porous medium. If the porous medium utilized for this process has a smaller porosity than critical, the uniform suspension of gyrotactic microorganisms is stable and bioconvection does not develop. If the porous medium has larger porosity than critical, the uniform suspension is unstable and bioconvection develops. In this article, a combination of analytical and numerical methods is utilized to solve this problem. First, a linear stability analysis is carried out analytically. Then, at the final stage of the research, numerical methods are utilized to compute the critical Darcy number.

によって引用された
  1. Clarke R.J., Microorganisms and Their Response to Stimuli, in Modeling of Microscale Transport in Biological Processes, 2017. Crossref

  2. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from Below, in Convection in Porous Media, 2013. Crossref

  3. Bees Martin A., Advances in Bioconvection, Annual Review of Fluid Mechanics, 52, 1, 2020. Crossref

  4. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from Below, in Convection in Porous Media, 2017. Crossref

  5. Avramenko A.A., Kovetska Yu.Yu., Shevchuk I.V., Lorenz approach for analysis of bioconvection instability of gyrotactic motile microorganisms, Chaos, Solitons & Fractals, 166, 2023. Crossref

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