The onset of bioconvection in a horizontal porous-medium layer

被引:21
作者
Nield, DA
Kuznetsov, AV [1 ]
Avramenko, AA
机构
[1] N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA
[2] Univ Auckland, Dept Engn Sci, Auckland, New Zealand
[3] Natl Acad Sci Ukraine, Inst Engn Thermophys, Kiev, Ukraine
基金
美国国家航空航天局;
关键词
bioconvection; convective instability; horizontal layer;
D O I
10.1023/B:TIPM.0000003662.31212.5b
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
In this note the problem of the onset of bioconvection in a horizontal layer occupied by a saturated porous medium is analyzed. Gyrotactic effects are incorporated in the analysis. The Darcy flow model is employed, and it is assumed that the bioconvection Peclet number is not greater than unity. Critical values of the bioconvection Rayleigh number and the corresponding critical Rayleigh number are obtained for various values of the bioconvection Peclet number, the gyrotaxis number and the cell eccentricity.
引用
收藏
页码:335 / 344
页数:10
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