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Linear Stability Analysis of the Effect of Vertical Vibration on Bioconvection in a Horizontal Porous Layer of Finite Depth

Volumen 9, Edición 6, 2006, pp. 597-608
DOI: 10.1615/JPorMedia.v9.i6.80
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SINOPSIS

Bioconvection is a phenomenon in which physical laws that govern smaller scales lead to a phenomenon visible on a larger scale. While superfluidity and superconductivity are quantum phenomena visible at the macroscale, bioconvection is a mesoscale phenomenon, in which the motion of motile microorganisms induxes a macroscopic motion in the fluid. The purpose of this paper is to investigate analytically the potential of utilizing the vertical vibration for controlling bioconvection. A shallow horizontal fluid-saturated porous layer that contains a suspension of oxytactic bacteria, such as Bacillus subtilis, is considered. Linear stability analysis indicates that vertical vibration has a stabilizing effect on the suspension.

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