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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Abstract
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 |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| 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: | 1070-6631 |
| ISSN (Online): | 1089-7666 |
| Published Online: | 15 July 2010 |
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