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Research Papers: Flows in Complex Systems

Numerical Investigation of Vortex Ring Ground Plane Interactions

[+] Author and Article Information
K. Bourne, S. Wahono

Aerospace Division,
Defence Science and Technology Group,
Melbourne 3207, Australia

A. Ooi

Professor
Department of Mechanical Engineering,
The University of Melbourne,
Parkville 3010, Australia

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received August 16, 2016; final manuscript received February 6, 2017; published online April 27, 2017. Assoc. Editor: Samuel Paolucci.

J. Fluids Eng 139(7), 071105 (Apr 27, 2017) (10 pages) Paper No: FE-16-1521; doi: 10.1115/1.4036159 History: Received August 16, 2016; Revised February 06, 2017

The interaction between multiple laminar thin vortex rings and solid surfaces was studied numerically so as to investigate flow patterns associated with near-wall flow structures. In this study, the vortex–wall interaction was used to investigate the tendency of the flow toward recirculatory behavior and to assess the near-wall flow conditions. The numerical model shows very good agreement with previous studies of single vortex rings for the case of orthogonal impact (angle of incidence, θ = 0 deg) and oblique impact (θ = 20 deg). The study was conducted at Reynolds numbers 585 and 1170, based on the vortex ring radius and convection velocity. The case of two vortex rings was also investigated, with particular focus on the interaction of vortex structures postimpact. Compared to the impact of a single ring with the wall, the interaction between two vortex rings and a solid surface resulted in a more highly energized boundary layer at the wall and merging of vortex structures. The azimuthal variation in the vortical structures yielded flow conditions at the wall likely to promote agitation of ground based particles.

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Figures

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Fig. 1

Vortex core trajectory of wall impact at θ = 0 deg

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Fig. 2

Vorticity profile comparison at t = 1.67 s

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Fig. 3

Key flow features and critical points as a vortex ring approaches a wall

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Fig. 4

λ2 isosurfaces and vorticity contour plots, instantaneous wall shear stress distribution—single vortex ring: wall angle θ = 0 deg, Re = 585, tND = 2.20, tND=2.80, tND  = 3.30, tND = 3.85, tND = 4.40, and tND = 4.40

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Fig. 5

λ2 isosurfaces and vorticity contour plots, instantaneous wall shear stress distribution—single vortex ring: wall angle θ = 20 deg, Re = 585, tND = 2.05, tND = 2.85, tND = 3.25, tND = 3.70, tND = 4.20, and tND = 4.20

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Fig. 6

λ2 isosurfaces and vorticity contour plots, velocity field—single vortex ring: wall angle θ = 0 deg, Re = 1170, tND = 2.50, tND = 3.00, tND = 3.60, tND = 4.15, tND = 4.70, and tND = 4.70

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Fig. 7

λ2 isosurfaces and vorticity contour plots, velocity field—single vortex ring: wall angle θ = 20 deg, Re = 1170, tND = 2.20, tND = 2.70, tND = 3.25, tND = 3.80, tND = 4.35, and tND = 4.35

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Fig. 8

Time evolution of vorticity at the core of the primary vortex ring for Re = 585 (top) and Re = 1170 (bottom)

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Fig. 9

λ2 isosurfaces and vorticity contour plots, velocity field—two vortex rings: wall angle θ = 0 deg, Re = 585, tND = 4.15, tND = 4.40, tND = 5.00, tND = 5.25, tND = 6.10, and tND = 6.10

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Fig. 10

λ2 isosurfaces and vorticity contour plots, velocity field—two vortex rings: wall angle θ = 0 deg, Re = 1170, tND = 3.30, tND = 4.40, tND = 5.25, tND = 5.80, and tND = 5.80

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