Assessment of the role of axial vorticity in the formation of particle accumulation structures in supercritical Marangoni and hybrid thermocapillary-rotation-driven flows

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25 Citations (Scopus)

Abstract

Evidence is provided that when the so-called phenomenon of particle accumulation structure (PAS) occurs, extended regions exist where 1/2 of the axial component of vorticity matches the angular frequency of the traveling wave produced by the instability of the Marangoni flow. Several cases are considered in which such axial component is varied by "injecting" vorticity into the system via rotation of one of its endwalls. The results show that both the resulting PAS lines and the trajectories of related solid particles undergo significant changes under the influence of imposed rotation. By analysis of such findings, a validation and a generalization/extension of the so-called "phase-locking" model are provided.

LanguageEnglish
Article number012101
Number of pages10
JournalPhysics of Fluids
Volume25
Issue number1
DOIs
Publication statusPublished - 2 Jan 2013

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Vorticity
vorticity
Trajectories
traveling waves
locking
trajectories

Keywords

  • axial vorticity
  • particle accumulation
  • structures & design
  • thermocapillary flows
  • rotational flow
  • Marangoni forces

Cite this

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title = "Assessment of the role of axial vorticity in the formation of particle accumulation structures in supercritical Marangoni and hybrid thermocapillary-rotation-driven flows",
abstract = "Evidence is provided that when the so-called phenomenon of particle accumulation structure (PAS) occurs, extended regions exist where 1/2 of the axial component of vorticity matches the angular frequency of the traveling wave produced by the instability of the Marangoni flow. Several cases are considered in which such axial component is varied by {"}injecting{"} vorticity into the system via rotation of one of its endwalls. The results show that both the resulting PAS lines and the trajectories of related solid particles undergo significant changes under the influence of imposed rotation. By analysis of such findings, a validation and a generalization/extension of the so-called {"}phase-locking{"} model are provided.",
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AU - Lappa, Marcello

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N2 - Evidence is provided that when the so-called phenomenon of particle accumulation structure (PAS) occurs, extended regions exist where 1/2 of the axial component of vorticity matches the angular frequency of the traveling wave produced by the instability of the Marangoni flow. Several cases are considered in which such axial component is varied by "injecting" vorticity into the system via rotation of one of its endwalls. The results show that both the resulting PAS lines and the trajectories of related solid particles undergo significant changes under the influence of imposed rotation. By analysis of such findings, a validation and a generalization/extension of the so-called "phase-locking" model are provided.

AB - Evidence is provided that when the so-called phenomenon of particle accumulation structure (PAS) occurs, extended regions exist where 1/2 of the axial component of vorticity matches the angular frequency of the traveling wave produced by the instability of the Marangoni flow. Several cases are considered in which such axial component is varied by "injecting" vorticity into the system via rotation of one of its endwalls. The results show that both the resulting PAS lines and the trajectories of related solid particles undergo significant changes under the influence of imposed rotation. By analysis of such findings, a validation and a generalization/extension of the so-called "phase-locking" model are provided.

KW - axial vorticity

KW - particle accumulation

KW - structures & design

KW - thermocapillary flows

KW - rotational flow

KW - Marangoni forces

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