Bioconvection in a suspension of isotropically scattering phototactic algae

Ghorai, S., Panda, M.K. and Hill, N.A. (2010) Bioconvection in a suspension of isotropically scattering phototactic algae. Physics of Fluids, 22(7), 071901. (doi: 10.1063/1.3457163)

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Phototaxis is a directed swimming response toward a light source sensed by micro-organisms. Positive phototaxis represents swimming toward the source of light intensity and negative phototaxis is the swimming away from it. In this paper we develop a new model for phototaxis that incorporates the effects of absorption and scattering by the micro-organisms. This model is then used to analyze the linear stability of a suspension of phototactic algae illuminated by a collimated radiation at the top. A comprehensive numerical study of the linear stability is presented with particular emphasis on the scattering effect. As a result of scattering, for some parameter values, the micro-organisms accumulate in two horizontal layers at different depths in the basic equilibrium state. Examples of oscillatory instabilities are also found.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Hill, Professor Nicholas
Authors: Ghorai, S., Panda, M.K., and Hill, N.A.
Subjects:Q Science > QA Mathematics
Q Science > QR Microbiology
Q Science > QC Physics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Physics of Fluids
ISSN (Online):1089-7666
Published Online:15 July 2010

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