title: Axisymmetric bioconvection in a cylinder.
abstract: In three-dimensional bioconvection, the regions of rising and sinking fluid are dissimilar. This geometrical effect is studied for axisymmetric bioconvection in a cylindrical cell with stress-free (i.e. normal velocity and tangential stress vanish) lateral and top boundaries, and rigid bottom boundary. Using the continuum model of Pedley et al. (1988, J. Fluid Mech.195, 223-237) for bioconvection in a suspension of swimming, gyrotactic microorganisms, the structure and stability of an axisymmetric plume in a deep chamber are investigated. The system is governed by the Navier-Stokes equations for an incompressible fluid coupled with a microorganism conservation equation. These equations are solved numerically using a conservative finite-difference scheme. Comparisons are made with two-dimensional bioconvection.
authors.affiliation: Department of Mathematics, Indian Institute of Technology, Kanpur 208016, India. sghorai@iitk.ac.in
authors.forename: S
authors.initials: S
authors.lastname: Ghorai
authors.forename: N A
authors.initials: NA
authors.lastname: Hill
mesh_terms: D000818:Animals; D001419:Bacteria; D004463:Ecology; D017753:Ecosystem; D056890:Eukaryota; D008954:Models, Biological; D009068:Movement; D012623:Seawater