Using the continuum model of Pedley et al. [J. Fluid Mech. 195, 223 (1988)] for bioconvection in a suspension of swimming, gyrotactic micro-organisms, the existence and stability of periodic arrays of two-dimensional plumes in deep chambers are investigated. 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 plumes are sometimes unstable to varicose or meandering modes. A linear stability analysis for an infinitely deep plume predicts the growth rates of these instabilities and agrees well with the numerical results.
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Research Article| January 01 2000
Periodic arrays of gyrotactic plumes in bioconvection
S. Ghorai, N. A. Hill; Periodic arrays of gyrotactic plumes in bioconvection. Physics of Fluids 1 January 2000; 12 (1): 5–22. https://doi.org/10.1063/1.870249
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