English

Three-dimensional pattern formation in suspensions of swimming micro-organisms

Fluid Dynamics 2009-10-20 v1

Abstract

Suspensions of self-propelled particles, such as swimming micro-organisms, are known to undergo complex dynamics as a result of hydrodynamic interactions. This fluid dynamics video presents a numerical simulation of such a suspension, based on a kinetic theory recently developed by Saintillan and Shelley (Physics of Fluids, 20, 123403, 2008). Starting from a nearly uniform and isotropic initial distribution, our simulations show the formation of strong density fluctuations, which merge and break up in time in a quasiperiodic fashion. These fluctuations are found to occur on the size of the simulation box, in agreement with a prediction from a linear stability analysis. In addition, the dynamics are characterized by complex chaotic flow fields, which result in efficient fluid mixing.

Keywords

Cite

@article{arxiv.0910.3453,
  title  = {Three-dimensional pattern formation in suspensions of swimming micro-organisms},
  author = {David Saintillan and Amir Alizadeh Pahlavan},
  journal= {arXiv preprint arXiv:0910.3453},
  year   = {2009}
}

Comments

APS/DFD Gallery of Fluid Motion 2009