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Bioconvection of gravitactic microorganisms in a vertical cylinder

✍ Scribed by Z. Alloui; T.H. Nguyen; E. Bilgen

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
225 KB
Volume
32
Category
Article
ISSN
0735-1933

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✦ Synopsis

Patterns formation of gravitactic microorganism in a vertical cylinder is described by the Navier-Stokes equation coupled with the microorganism conservation equation. The control volume method is used to solve numerically these equations. It is found that when the Peclet number is decreased, the critical Rayleigh number also decreases to approach the value corresponding to Be Β΄nard convection under fixed-flux heating condition. However, at high Peclet numbers, the development convection is very different from that of Be Β΄nard convection. The most fundamental difference is that, while Be Β΄nard convection is a supercritical instability, the gravitactic bioconvection is shown to be a subcritical bifurcation from the diffusion state.

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