Development and stability of gyrotactic plumes in bioconvection

Ghorai, S. and Hill, N.A. (1999) Development and stability of gyrotactic plumes in bioconvection. Journal of Fluid Mechanics, 400, pp. 1-31. (doi:10.1017/S0022112099006473)

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Publisher's URL: http://dx.doi.org/10.1017/S0022112099006473

Abstract

Using the continuum model of Pedley, Hill and Kessler (1988) for bioconvection in a suspension of swimming, gyrotactic micro-organisms, we investigate the existence and stability of a two-dimensional plume in tall, narrow chambers with stress-free sidewalls. The system is governed by the Navier–Stokes equations for an incompressible fluid coupled with a micro-organism conservation equation. These equations are solved numerically using a conservative finite-difference scheme. In sufficiently deep chambers, the plume is always unstable to both varicose and meandering modes. A linear stability analysis for an infinitely long plume predicts the growth rates of these instabilities, explains the mechanisms, and is in good agreement with the numerical results.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Hill, Professor Nicholas
Authors: Ghorai, S., and Hill, N.A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Fluid Mechanics
Journal Abbr.:J. Fluid Mech.
Publisher:Cambridge University Press
ISSN:0022-1120
ISSN (Online):1469-7645
Copyright Holders:Copyright © 1999 Cambridge University Press
First Published:First published in Journal of Fluid Mechanics 400:1-31
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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