Periodic arrays of gyrotactic plumes in bioconvection

Ghorai, S.; Hill, Nicholas M.

doi:10.1063/1.870249

Cited by 62 publications

(47 citation statements)

References 25 publications

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“…Since these microorganisms are typically 3-5% heavier than water, the density of the suspension in the regions of downflow becomes larger than in the regions of upflow. Buoyancy increases velocity fluctuations in both upflow and downflow regions thus introducing a hydrodynamic instability [2][3][4]. The induced convection fluid motion causes the development of bioconvection plumes.…”

Section: P Geng and A V Kuznetsovmentioning

confidence: 99%

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Dynamics of large solid particles in bioconvective sedimentation

Geng

Кузнецов

2006

Numerical Methods in Fluids

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Settling of one or two large solid particles in a bioconvection flow induced by gyrotactic motile microorganisms is investigated using a 2D numerical model. The results of varying the initial positions of large particles on the bioconvection flow pattern are investigated. The Chimera method is utilized to generate subgrids around the moving particles. It is demonstrated that the introduction of a single large particle displaces bioconvection plume and changes its shape. The introduction of two particles on the same side of the bioconvection plume further displaces the plume while the introduction of two particles on opposite sides reduces this displacement. The influence of the bioconvection plume on the particles' settling paths and particles' settling velocities is investigated. Copyright © 2006 John Wiley & Sons, Ltd.

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Section: P Geng and A V Kuznetsovmentioning

confidence: 99%

“…Governing equations for a bioconvection plume caused by gyrotactic microorganisms are given in References [3,4] as:…”

Section: Dimensional Governing Equationsmentioning

confidence: 99%

Dynamics of large solid particles in bioconvective sedimentation

Geng

Кузнецов

2006

Numerical Methods in Fluids

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“…Ghorai and Hill [2,3] have shown that if the inertia terms in the momentum equation are neglected (which is justiÿed for bioconvection ows because of a very low Reynolds number), the vectorp, which determines the swimming direction of microorganisms, can be computed asp…”

Section: Dimensionless Governing Equationsmentioning

confidence: 99%

“…Governing equations for a bioconvection plume caused by gyrotactic microorganisms are given in References [2,3] as Continuity equation…”

Section: Dimensional Governing Equationsmentioning

confidence: 99%

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Direct numerical simulation of settling of a large solid particle during bioconvection

Geng¹,

Кузнецов²

2005

Numerical Methods in Fluids

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SUMMARYSettling of a large solid particle in bioconvection ow caused by gyrotactic microorganisms is investigated. The particle is released from the top of the bioconvection chamber; its settling pattern depends on whether it is released in the centre of the bioconvection plume or at its periphery. The Chimera method is utilized; a subgrid is generated around a moving particle. The method suggested by Liu and Wang (Comput. Fluid 2004; 33:223-255) is further developed to account for the presence of a moving boundary in the streamfunction-vorticity formulation using the ÿnite-di erence method. A number of cases for di erent release positions of the particle are computed. It is demonstrated that bioconvection can either accelerate or decelerate settling of the particle depending on the initial position of the particle relative to the plume centre. It is also shown that the particle impacts bioconvection plume by changing its shape and location in the chamber.

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Bioconvection in a squeezing flow of a micropolar fluid in a horizontal channel

Srinivasacharya

Sreenath

2019

Heat Trans. Asian Res.

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The bioconvection flow of an incompressible micropolar fluid containing microorganisms between two infinite stretchable parallel plates is considered. A mathematical model, with a fully coupled nonlinear system of equations describing the total mass, momentum, thermal energy, mass diffusion, and microorganisms is presented. The governing equations are reduced to a set of nonlinear ordinary differential equations with the help of suitable transformations. The resulting nonlinear ordinary differential equations are linearized using successive linearization method, and the resulting system of linear equations is solved using the Chebyshev collocation method. The detailed analysis illustrating the influences of various physical parameters, such as the micropolar coupling number, squeezing parameter, the bioconvection Schmidt number, Prandtl numbers, Lewis number, and bioconvection Peclet number on the velocity, microrotation, temperature, concentration and motile microorganism distributions, skin friction coefficient, Nusselt number, Sherwood number, and density number of motile microorganism, is examined. The influence of the squeezing parameter is to increase the dimensionless velocities and temperature and to decrease the local Nusselt number and local Sherwood number. The density number of motile microorganism is decreasing with squeezing parameter, bioconvection Lewis number, bioconvection Peclet number, and bioconvection Schmidt number.

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Periodic arrays of gyrotactic plumes in bioconvection

Cited by 62 publications

References 25 publications

Dynamics of large solid particles in bioconvective sedimentation

Dynamics of large solid particles in bioconvective sedimentation

Direct numerical simulation of settling of a large solid particle during bioconvection

Bioconvection in a squeezing flow of a micropolar fluid in a horizontal channel

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