### Abstract

A completely new phenomenon of particle accumulation in vibrated non-isothermal monodisperse suspensions of solid spheres (in a liquid) is analyzed. For the first time evidence is provided for this case that even in situations in which particle-particle hydrodynamic interactions are negligible (dilute systems), intriguing nonlinear effects can lead to the irreversible formation of well-defined particulate structures over "long" temporal scales, i.e., times much larger than the period of the applied vibrations. The long-range translational ordering is produced by the delicate interplay between convective effects (of thermovibrational nature) and the (inertial) response of each isolated particle to the time-periodic acceleration. A new family of particle attractors in the physical space is identified with the topological dimension being essentially a function of the "symmetry properties" of the considered vibrated system and related geometrical constraints.

Language | English |
---|---|

Article number | 093301 |

Number of pages | 22 |

Journal | Physics of Fluids |

Volume | 26 |

Issue number | 9 |

DOIs | |

Publication status | Published - 2 Sep 2014 |

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### Keywords

- two-phase flow
- dispersive flows
- buoyant vibro-convective transport
- particle clustering phenomena

### Cite this

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**The patterning behaviour and accumulation of spherical particles in a vibrated non-isothermal liquid.** / Lappa, Marcello.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The patterning behaviour and accumulation of spherical particles in a vibrated non-isothermal liquid

AU - Lappa, Marcello

PY - 2014/9/2

Y1 - 2014/9/2

N2 - A completely new phenomenon of particle accumulation in vibrated non-isothermal monodisperse suspensions of solid spheres (in a liquid) is analyzed. For the first time evidence is provided for this case that even in situations in which particle-particle hydrodynamic interactions are negligible (dilute systems), intriguing nonlinear effects can lead to the irreversible formation of well-defined particulate structures over "long" temporal scales, i.e., times much larger than the period of the applied vibrations. The long-range translational ordering is produced by the delicate interplay between convective effects (of thermovibrational nature) and the (inertial) response of each isolated particle to the time-periodic acceleration. A new family of particle attractors in the physical space is identified with the topological dimension being essentially a function of the "symmetry properties" of the considered vibrated system and related geometrical constraints.

AB - A completely new phenomenon of particle accumulation in vibrated non-isothermal monodisperse suspensions of solid spheres (in a liquid) is analyzed. For the first time evidence is provided for this case that even in situations in which particle-particle hydrodynamic interactions are negligible (dilute systems), intriguing nonlinear effects can lead to the irreversible formation of well-defined particulate structures over "long" temporal scales, i.e., times much larger than the period of the applied vibrations. The long-range translational ordering is produced by the delicate interplay between convective effects (of thermovibrational nature) and the (inertial) response of each isolated particle to the time-periodic acceleration. A new family of particle attractors in the physical space is identified with the topological dimension being essentially a function of the "symmetry properties" of the considered vibrated system and related geometrical constraints.

KW - two-phase flow

KW - dispersive flows

KW - buoyant vibro-convective transport

KW - particle clustering phenomena

UR - http://www.scopus.com/inward/record.url?scp=84922822068&partnerID=8YFLogxK

U2 - 10.1063/1.4893078

DO - 10.1063/1.4893078

M3 - Article

VL - 26

JO - Physics of Fluids

T2 - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 9

M1 - 093301

ER -