The objective of this paper is to investigate theoretically laminar falling bioconvection plumes in a deep chamber filled with a fluid saturated porous medium. A suspension of motile oxytactic bacteria, such as Bacillus subtilis, which swim up the oxygen gradient, is considered. In a deep chamber, because of the limited diffusivity of oxygen, oxygen concentration is high only in a thin cell-rich upper boundary layer. Since bacteria are heavier than water, the cell-rich upper boundary layer becomes unstable and bioconvection plumes develop. The bioconvection plume carries oxygen and cells from this cell-rich upper boundary layer to the lower region of the chamber.
A Theoretical Prediction of Laminar Falling Plumes in Bioconvection of Oxytactic Bacteria in Porous Media
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Kuznetsov, AV, Avramenko, AA, & Geng, P. "A Theoretical Prediction of Laminar Falling Plumes in Bioconvection of Oxytactic Bacteria in Porous Media." Proceedings of the ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. Volume 2: Symposia, Parts A, B, and C. Honolulu, Hawaii, USA. July 6–10, 2003. pp. 2083-2088. ASME. https://doi.org/10.1115/FEDSM2003-45299
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