Bioconvection in an anisotropic scattering suspension of phototactic algae

Ghorai, S and Panda, MK (2013) Bioconvection in an anisotropic scattering suspension of phototactic algae. In: EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 41 . pp. 81-93.

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Abstract

Phototaxis is a directed swimming response dependent upon the light intensity sensed by microorganisms. Positive phototaxis denotes motion directed towards the source of light and negative phototaxis is motion directed away from it. In this paper, we investigate the onset of bioconvection in a suspension of anisotropic scattering phototactic algae illuminated by collimated radiation at the top. The basic state of the system is defined by the zero fluid flow and the up and down swimming, caused by the positive and negative phototaxis, is balanced by the diffusion. A comprehensive numerical study of the linear stability is presented with particular emphasis on the forward scattering effect. The onset of bioconvection occurs either via a stationary mode or an oscillatory mode. The transition from a stationary mode to an oscillatory mode or vice versa has been observed as the anisotropic coefficient is varied for certain parameter values. (C) 2012 Elsevier Masson SAS. All rights reserved.

Item Type:	Journal Article
Publication:	EUROPEAN JOURNAL OF MECHANICS B-FLUIDS
Publisher:	GAUTHIER-VILLARS/EDITIONS ELSEVIER
Additional Information:	Copyright belongs to publisher Elsevier
Keywords:	Bioconvection; Swimming microorganisms; Light intensity; Phototaxis; Navier-Stokes equations; Linear stability
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	16 Aug 2013 07:59
Last Modified:	16 Aug 2013 07:59
URI:	http://eprints.iisc.ac.in/id/eprint/47024

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