Non-linear bioconvection in a deep suspension of gyrotactic swimming micro-organisms
نویسندگان
چکیده
منابع مشابه
Non linear bioconvection in a deep suspension of gyrotactic swimming micro organisms
The non-linear structure of deep, stochastic, gyrotactic bioconvection is explored. A linear analysis is reviewed and a weakly non-linear analysis justifies its application by revealing the supercritical nature of the bifurcation. An asymptotic expansion is used to derive systems of partial differential equations for long plume structures which vary slowly with depth. Steady state and travellin...
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'Bioconvection' is the name given to pattern-forming convective motions set up in suspensions of swimming micro-organisms. 'Gyrotaxis' describes the way the swimming is guided through a balance between the physical torques generated by viscous drag and by gravity operating on an asymmetric distribution of mass within the organism. When the organisms are heavier towards the rear, gyrotaxis turns...
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The theory of generalized Taylor dispersion for suspensions of Brownian particles is developed to study the dispersion of gyrotactic swimming micro-organisms in a linear shear flow. Such creatures are bottom-heavy and experience a gravitational torque which acts to right them when they are tipped away from the vertical. They also suffer a net viscous torque in the presence of a local vorticity ...
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Bioconvection is an important phenomenon in aquatic environments, affecting the spatial distribution of motile micro-organisms and enhancing mixing within the fluid. However, stratification arising from thermal or solutal gradients can play a pivotal role in suppressing the bioconvective flows, leading to the aggregation of micro-organisms and growth of their patchiness. We investigate the comb...
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In this paper we develop a new generic model for phototaxis in a suspension of microscopic swimming algae. Phototaxis is a directed swimming response dependent upon the light conditions sensed by the microorganisms. Positive phototaxis consists of motions directed toward the source of illumination and negative phototaxis is motion directed away from it. The model also incorporates the effect of...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 1999
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s002850050144