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Stability of bioconvection in suspensions of gyrotactic microorganisms in porous media

机译：多孔介质中旋转微生物悬浮液中生物衰老的稳定性

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In this paper, a model of bioconvection in a suspension of gyrotactic motile microorganisms in a fluid saturated porous medium is suggested. The microorganisms considered in this paper are heavier than water and gyrotactic behavior results in their swimming towards the regions of most rapid downflow. Because of that, the regions of downflow become denser than the regions of upflow. Buoyancy increases the upward velocity in the regions of upflow and downward velocity in the regions of downflow, thus enhancing the velocity fluctuations. The experiments performed by Kessler (1986) and the numerical results of Kuznetsov and Jiang (2001) indicate that if the permeability of porous medium is sufficiently small it will prevent the development of convection instability. However, for practical purposes, in order to maximize the flux of the cells in the upward direction it is desirable to have the permeability of the porous medium as high as possible. The aim of this paper is to investigate the value of critical permeability. If permeability is smaller than this critical value bioconvection does not occur and microorganisms simply swim in the upward direction.
机译：本文提出了一种在流体饱和多孔介质中旋转旋律运动微生物悬浮液中的生物卷型模型。本文考虑的微生物比水更重，旋转术行为导致他们的游泳朝向最快速的下流区域。因此，下流区域比上流区域变得更密集。浮力在下流区域中增加了上流区域和向下速度的向上速度，从而增强了速度波动。 KESSLER（1986）进行的实验和Kuznetsov和江（2001）的数值结果表明，如果多孔介质的渗透性足够小，则会阻止对流不稳定性的发展。然而，为了实际目的，为了使细胞的通量最大化在向上方向上，希望尽可能高的多孔介质的渗透性。本文的目的是探讨临界渗透性的价值。如果渗透率小于该关键值小，则不会发生生物传动，并且微生物在向上方向时简单地游泳。

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