4.7 Article

Onset of gravitactic bioconvection in a square anisotropic porous medium with arbitrary orientation of the principal axes

Journal

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
Volume 51, Issue 7-8, Pages 1497-1504

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijheatmasstransfer.2007.07.035

Keywords

bioconvection; negative gravitaxis; gravitactic microorganisms; anisotropic porous medium

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This paper examines the onset of negative gravitactic bioconvection in a porous square cavity. The porous medium is assumed to be anisotropic in permeability with its principal axes arbitrarily oriented with respect to the gravity vector, and contains a concentration of microorganisms which are assumed to be swimming upward against gravity (negative gravitaxis). The critical Rayleigh number Ra-c at marginal stability is calculated as a function of the microorganism swimming speed V-c, of the anisotropy ratio R, and of the orientation angle theta. (C) 2007 Elsevier Ltd. All rights reserved.

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