A two-sphere model for bacteria swimming near solid surfaces
| Autor: | Gastón Leonardo Miño, Rodrigo Soto, Jocelyn Dunstan, Eric Clément |
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| Rok vydání: | 2011 |
| Předmět: |
Surface (mathematics)
Flow (psychology) Computational Mechanics FOS: Physical sciences Condensed Matter - Soft Condensed Matter Computational fluid dynamics Radius of curvature (optics) Quantitative Biology::Cell Behavior Flow separation Circular motion Physics - Biological Physics Fluid Flow and Transfer Processes Physics Physics::Biological Physics business.industry Mechanical Engineering Dynamics (mechanics) Fluid Dynamics (physics.flu-dyn) Physics - Fluid Dynamics Mechanics Condensed Matter Physics Mechanics of Materials Biological Physics (physics.bio-ph) Soft Condensed Matter (cond-mat.soft) SPHERES business |
| Zdroj: | PHYSICS OF FLUIDS Artículos CONICYT CONICYT Chile instacron:CONICYT |
| DOI: | 10.48550/arxiv.1111.1928 |
| Popis: | We present a simple model for bacteria like \emph{Escherichia coli} swimming near solid surfaces. It consists of two spheres of different radii connected by a dragless rod. The effect of the flagella is taken into account by imposing a force on the tail sphere and opposite torques exerted by the rod over the spheres. The hydrodynamic forces and torques on the spheres are computed by considering separately the interaction of a single sphere with the surface and with the flow produced by the other sphere. Numerically, we solve the linear system which contains the geometrical constraints and the force-free and torque-free conditions. The dynamics of this swimmer near a solid boundary is very rich, showing three different behaviors depending on the initial conditions: (1) swimming in circles in contact with the wall, (2) swimming in circles at a finite distance from the wall, and (3) swimming away from it. Furthermore, the order of magnitude of the radius of curvature for the circular motion is in the range $8-50\,\mu$m, close to values observed experimentally. Comment: 10 pages, 4 figures |
| Databáze: | OpenAIRE |
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