1996
DOI: 10.1016/s0301-9322(97)88508-4
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Dynamics of heavy particles in a Burgers vortex

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Cited by 12 publications
(26 citation statements)
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“…In order to investigate this point more quantitatively, we extend here the stability analysis performed in Ref. 23 for the dynamics of heavy particles advected by the velocity field of a ͑steady͒ Burgers vortex, 24 to the case of particles with a generic density ratio ␤. The axial, radial and angular components of the model fluid velocity field associate to a Burgers vortex are given ͑in nondimensional form͒ by…”
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confidence: 99%
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“…In order to investigate this point more quantitatively, we extend here the stability analysis performed in Ref. 23 for the dynamics of heavy particles advected by the velocity field of a ͑steady͒ Burgers vortex, 24 to the case of particles with a generic density ratio ␤. The axial, radial and angular components of the model fluid velocity field associate to a Burgers vortex are given ͑in nondimensional form͒ by…”
mentioning
confidence: 99%
“…As in Ref. 23, we will limit ourselves to consider the two-dimensional dynamics in the ͑r , ͒ plane, where the velocity field reads ͑in Cartesian coordinates͒…”
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confidence: 99%
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“…In the frame moving with the vortex, the flow is azimuthal. A suitable model for the flow field is given by (6) (Lamb's vortex)-this is also the similarity solution studied by Marcu et al [37] for dense particles moving near a Burgers vortex (where there is an external irrotational straining flow). The streamfunction corresponding to a fixed Rankine vortex (6) is…”
Section: Particles Outside the Vortex Corementioning
confidence: 98%
“…In an influential paper by Lundgren [3], a three-dimensional spiral vortex model is introduced in which vorticity is not axially symmetric as in the Burger's vortex (see Marcu, Meiburg, and Newton [4]), but has a characteristic spiral structure. In this model, these structures arise dynamically from the interaction of two regions of constant vorticity.…”
Section: Introductionmentioning
confidence: 99%