Accumulation of heavy particles around a helical vortex filament

R.H.A. IJzermans; Rob Hagmeijer; Pieter J. van Langen

doi:10.1063/1.2771658

Accumulation of heavy particles around a helical vortex filament

R.H.A. IJzermans, Rob Hagmeijer, Pieter J. van Langen

Faculty of Engineering Technology

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Abstract

The motion of small heavy particles near a helical vortex filament in incompressible flow is investigated. Both the configurations of a helical vortex filament in free space and a helical vortex filament in a concentric pipe are considered, and the corresponding helically symmetric velocity fields are expressed in terms of a stream function. Particle motion is assumed to be driven by Stokes drag, and the flow fields are assumed to be independent from the motion of particles. Numerical results show that heavy particles may be attracted to helical trajectories. The stability of these attraction trajectories is demonstrated by linear stability analysis. In addition, the correlation between the attraction trajectories and the streamline topologies is investigated

Original language	English
Pages (from-to)	107102-1-107102-16
Journal	Physics of fluids
Volume	19
Issue number	10
DOIs	https://doi.org/10.1063/1.2771658
Publication status	Published - 2007

Keywords

METIS-240760
IR-58057

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10.1063/1.2771658

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title = "Accumulation of heavy particles around a helical vortex filament",

abstract = "The motion of small heavy particles near a helical vortex filament in incompressible flow is investigated. Both the configurations of a helical vortex filament in free space and a helical vortex filament in a concentric pipe are considered, and the corresponding helically symmetric velocity fields are expressed in terms of a stream function. Particle motion is assumed to be driven by Stokes drag, and the flow fields are assumed to be independent from the motion of particles. Numerical results show that heavy particles may be attracted to helical trajectories. The stability of these attraction trajectories is demonstrated by linear stability analysis. In addition, the correlation between the attraction trajectories and the streamline topologies is investigated",

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TY - JOUR

T1 - Accumulation of heavy particles around a helical vortex filament

AU - IJzermans, R.H.A.

AU - Hagmeijer, Rob

AU - van Langen, Pieter J.

PY - 2007

Y1 - 2007

N2 - The motion of small heavy particles near a helical vortex filament in incompressible flow is investigated. Both the configurations of a helical vortex filament in free space and a helical vortex filament in a concentric pipe are considered, and the corresponding helically symmetric velocity fields are expressed in terms of a stream function. Particle motion is assumed to be driven by Stokes drag, and the flow fields are assumed to be independent from the motion of particles. Numerical results show that heavy particles may be attracted to helical trajectories. The stability of these attraction trajectories is demonstrated by linear stability analysis. In addition, the correlation between the attraction trajectories and the streamline topologies is investigated

AB - The motion of small heavy particles near a helical vortex filament in incompressible flow is investigated. Both the configurations of a helical vortex filament in free space and a helical vortex filament in a concentric pipe are considered, and the corresponding helically symmetric velocity fields are expressed in terms of a stream function. Particle motion is assumed to be driven by Stokes drag, and the flow fields are assumed to be independent from the motion of particles. Numerical results show that heavy particles may be attracted to helical trajectories. The stability of these attraction trajectories is demonstrated by linear stability analysis. In addition, the correlation between the attraction trajectories and the streamline topologies is investigated

KW - METIS-240760

KW - IR-58057

U2 - 10.1063/1.2771658

DO - 10.1063/1.2771658

M3 - Article

VL - 19

SP - 107102-1-107102-16

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 10

ER -

Accumulation of heavy particles around a helical vortex filament

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