Bioconvection of gravitactic micro-organisms in rectangular enclosures

This paper investigates the gravitactic bioconvection in rectangular enclosures. The governing equations are the continuity, the Navier–Stokes equations with the Boussinesq approximation and the diffusion equation for the motile micro-organisms. The control volume method is used to solve numerically...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2007-11, Vol.50 (23), p.4652-4660
Main Authors: Taheri, M., Bilgen, E.
Format: Article
Language:English
Subjects:
Bifurcation
Bioconvection
Biological and medical sciences
Biomechanics. Biorheology
Fundamental and applied biological sciences. Psychology
Gravitactic micro-organisms
Pattern formation
Tissues, organs and organisms biophysics
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Summary:This paper investigates the gravitactic bioconvection in rectangular enclosures. The governing equations are the continuity, the Navier–Stokes equations with the Boussinesq approximation and the diffusion equation for the motile micro-organisms. The control volume method is used to solve numerically the complete set of governing equations. The effects of bioconvection Peclet number from 0.1 to 10 and the aspect ratio from 1 to 5 are investigated on the onset of bioconvection. It was found that the bifurcation was subcritical in all cases. The critical Rayleigh number is decreased with increasing bioconvection Peclet number and with increasing aspect ratio.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2007.03.009