Note on dust trapping in point vortex pairs with unequal strengths

  • Nizkaya T
  • Angilella J
  • Buès M
  • 14

    Readers

    Mendeley users who have this article in their library.
  • 1

    Citations

    Citations of this article.

Abstract

We investigate theoretically the motion of tiny heavy passive particles transported in a plane inviscid flow consisting of two point vortices in order to understand particle dispersion and trapping during vortex interaction. In spite of their large density, particles are not necessarily centrifuged away from vortices. It is observed that they can have various equilibrium positions in the reference frame rotating with the vortices, provided that the particle response time and the vortex strength ratio lie in appropriate ranges. A stability analysis reveals that some of these points can be asymptotically stable and can therefore trap particles released in their basin of attraction.Acomplete trapping diagram is derived, showing that any vortex pair can potentially become a dust trap, provided that the vortex strength ratio is different from 0 single vortex and 1 translating symmetrical vortices. Trapping exists for both corotating and contrarotating vortex pairs. In the latter case, particle trapping on a limit cycle is also observed and confirmed by using the method of Sapsis and Haller Clustering criterion for inertial particles in 2D time-periodic and 3D steady flows, Chaos 20, 017515 2010 generalized to noninertial reference frames.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Get full text

Authors

  • Tatiana Nizkaya

  • Jean Régis Angilella

  • Michel Buès

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free