### Abstract

For the first time evidence is provided that one-dimensional objects formed by the accumulation of tracer particles can emerge in flows of thermogravitational nature (in the region of the space of parameters, in which the so-called OS (oscillatory solution) flow of the Busse balloon represents the dominant secondary mode of convection). Such structures appear as seemingly rigid filaments, rotating without changing their shape. The most interesting (heretofore unseen) feature of such a class of physical attractors is their variety. Indeed, distinct shapes are found for a fixed value of the Rayleigh number depending on parameters accounting for particle inertia and viscous drag. The fascinating "sea" of existing potential paths, their multiplicity and tortuosity are explained according to the granularity of the loci in the physical space where conditions for phase locking between the traveling thermofluid-dynamic disturbance and the "turnover time" of particles in the basic toroidal flow are satisfied. It is shown, in particular, how the observed wealth of geometric objects and related topological features can be linked to a general overarching attractor representing an intrinsic (particle-independent) property of the base velocity field.

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

Article number | 013105 |

Number of pages | 9 |

Journal | Chaos: An Interdisciplinary Journal of Nonlinear Science |

Volume | 23 |

Issue number | 1 |

DOIs | |

Publication status | Published - 18 Mar 2013 |

### Fingerprint

### Keywords

- solid particle attractors
- time-dependent dynamics
- Rayleigh-Bènard convection
- one-dimensional objects

### Cite this

}

**On the existence and multiplicity of one-dimensional solid particle attractors in time-dependent Rayleigh-Bénard convection.** / Lappa, Marcello.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On the existence and multiplicity of one-dimensional solid particle attractors in time-dependent Rayleigh-Bénard convection

AU - Lappa, Marcello

PY - 2013/3/18

Y1 - 2013/3/18

N2 - For the first time evidence is provided that one-dimensional objects formed by the accumulation of tracer particles can emerge in flows of thermogravitational nature (in the region of the space of parameters, in which the so-called OS (oscillatory solution) flow of the Busse balloon represents the dominant secondary mode of convection). Such structures appear as seemingly rigid filaments, rotating without changing their shape. The most interesting (heretofore unseen) feature of such a class of physical attractors is their variety. Indeed, distinct shapes are found for a fixed value of the Rayleigh number depending on parameters accounting for particle inertia and viscous drag. The fascinating "sea" of existing potential paths, their multiplicity and tortuosity are explained according to the granularity of the loci in the physical space where conditions for phase locking between the traveling thermofluid-dynamic disturbance and the "turnover time" of particles in the basic toroidal flow are satisfied. It is shown, in particular, how the observed wealth of geometric objects and related topological features can be linked to a general overarching attractor representing an intrinsic (particle-independent) property of the base velocity field.

AB - For the first time evidence is provided that one-dimensional objects formed by the accumulation of tracer particles can emerge in flows of thermogravitational nature (in the region of the space of parameters, in which the so-called OS (oscillatory solution) flow of the Busse balloon represents the dominant secondary mode of convection). Such structures appear as seemingly rigid filaments, rotating without changing their shape. The most interesting (heretofore unseen) feature of such a class of physical attractors is their variety. Indeed, distinct shapes are found for a fixed value of the Rayleigh number depending on parameters accounting for particle inertia and viscous drag. The fascinating "sea" of existing potential paths, their multiplicity and tortuosity are explained according to the granularity of the loci in the physical space where conditions for phase locking between the traveling thermofluid-dynamic disturbance and the "turnover time" of particles in the basic toroidal flow are satisfied. It is shown, in particular, how the observed wealth of geometric objects and related topological features can be linked to a general overarching attractor representing an intrinsic (particle-independent) property of the base velocity field.

KW - solid particle attractors

KW - time-dependent dynamics

KW - Rayleigh-Bènard convection

KW - one-dimensional objects

UR - http://scitation.aip.org/content/aip/journal/chaos/23/1/10.1063/1.4773001

UR - http://www.scopus.com/inward/record.url?scp=84875854741&partnerID=8YFLogxK

U2 - 10.1063/1.4773001

DO - 10.1063/1.4773001

M3 - Article

VL - 23

JO - Chaos

T2 - Chaos

JF - Chaos

SN - 1054-1500

IS - 1

M1 - 013105

ER -