Gyrotactic bioconvection in three dimensions

Ghorai, S. and Hill, N.A. (2007) Gyrotactic bioconvection in three dimensions. Physics of Fluids, 19(5), 054107. (doi: 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
• 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