Development and stability of gyrotactic plumes in bioconvection (original) (raw)

Ghorai, S. and Hill, N.A. ORCID: https://orcid.org/0000-0003-3079-828X(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.

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