%0 Journal Article %1 bec:073301 %A Bec, J. %A Celani, A. %A Cencini, M. %A Musacchio, S. %D 2005 %I AIP %J Physics of Fluids %K cencini chaos clustering fractals inertia inertial_particles simulation suspensions %N 7 %P 073301 %R 10.1063/1.1940367 %T Clustering and collisions of heavy particles in random smooth flows %U http://link.aip.org/link/?PHF/17/073301/1 %V 17 %X Finite-size impurities suspended in incompressible flows distribute inhomogeneously, leading to a drastic enhancement of collisions. A description of the dynamics in the full position-velocity phase space is essential to understand the underlying mechanisms, especially for polydisperse suspensions. These issues are studied here for particles much heavier than the fluid by means of a Lagrangian approach. It is shown that inertia enhances collision rates through two effects: correlation among particle positions induced by the carrier flow and uncorrelation between velocities due to their finite size. A phenomenological model yields an estimate of collision rates for particle pairs with different sizes. This approach is supported by numerical simulations in random flows.

@article{bec:073301, abstract = {Finite-size impurities suspended in incompressible flows distribute inhomogeneously, leading to a drastic enhancement of collisions. A description of the dynamics in the full position-velocity phase space is essential to understand the underlying mechanisms, especially for polydisperse suspensions. These issues are studied here for particles much heavier than the fluid by means of a Lagrangian approach. It is shown that inertia enhances collision rates through two effects: correlation among particle positions induced by the carrier flow and uncorrelation between velocities due to their finite size. A phenomenological model yields an estimate of collision rates for particle pairs with different sizes. This approach is supported by numerical simulations in random flows.}, added-at = {2007-10-05T00:55:31.000+0200}, author = {Bec, J. and Celani, A. and Cencini, M. and Musacchio, S.}, biburl = {https://www.bibsonomy.org/bibtex/263e0e1d309caba8f1f1c018476e302f3/mcencini}, description = {Physics of Fluids: Abstract View}, doi = {10.1063/1.1940367}, eid = {073301}, interhash = {7fa26423e0230fb788826b9d8096f8f8}, intrahash = {63e0e1d309caba8f1f1c018476e302f3}, journal = {Physics of Fluids}, keywords = {cencini chaos clustering fractals inertia inertial_particles simulation suspensions}, number = 7, numpages = {11}, pages = 073301, publisher = {AIP}, timestamp = {2007-10-05T00:55:31.000+0200}, title = {Clustering and collisions of heavy particles in random smooth flows}, url = {http://link.aip.org/link/?PHF/17/073301/1}, volume = 17, year = 2005 }