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We have analyzed the initiation of pattern formation in a layer of finite depth for Pedley and Kessler’s new model [J. Fluid Mech. 212, 155 (1990)] of bioconvection. This is the first analysis of bioconvection in a realistic geometry using a model that deals with random swimming in a rational manner. We have considered the effects of a distribution of swimming speeds, which has not previously received attention in theoretical papers and find that it is important in calculating the diffusivity. Our predictions of initial pattern wavelengths are reasonably close to the observed ones but better experimental measurements of key parameters are needed for a proper comparison.
|Glasgow Author(s) Enlighten ID:||Hill, Professor Nicholas and Bees, Dr Martin|
|Authors:||Bees, M.A., and Hill, N.A.|
|Subjects:||Q Science > QR Microbiology|
|College/School:||College of Science and Engineering > School of Mathematics and Statistics > Mathematics|
|Journal Name:||Physics of Fluids|
|Journal Abbr.:||Phys. fluids|