Ghorai, S. and Hill, N.A. (2007) Gyrotactic bioconvection in three dimensions. Physics of Fluids, 19(5), 054107. (doi: 10.1063/1.2731793)
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Publisher's URL: http://dx.doi.org/10.1063/1.2731793
Abstract
The bioconvection equations, based on the continuum model of Pedley et al. [J. Fluid Mech. 195, 223 (1988)], consist of the Navier-Stokes equations for an incompressible fluid coupled with a micro-organism conservation equation. These equations are solved efficiently using a semi-implicit second-order accurate conservative finite-difference method. The structure and stability of a three-dimensional plume in deep rectangular boxes with stress-free sidewalls are investigated. Comparisons are made with the two-dimensional and axisymmetric bioconvection. In deep chambers, the three-dimensional plume that forms initially along the central axis of the chamber typically breaks down via a meandering instability.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Hill, Professor Nicholas |
Authors: | Ghorai, S., and Hill, N.A. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Physics of Fluids |
ISSN: | 1070-6631 |
ISSN (Online): | 1089-7666 |
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