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Technical Brief: Technical Briefs

Laminar to Turbulent Buoyant Vortex Ring Regime in Terms of Reynolds Number, Bond Number, and Weber Number

[+] Author and Article Information
Xueying Yan

Turbulence and Energy Laboratory,
Department of Mechanical, Automotive
and Materials Engineering,
University of Windsor,
Windsor, ON N9B3P4, Canada
e-mail: yan12d@uwindsor.ca

Rupp Carriveau

Turbulence and Energy Laboratory,
Department of Civil and Environmental Engineering,
Windsor, ON N9B3P4, Canada
e-mail: rupp@uwindsor.ca

David S. K. Ting

Turbulence and Energy Laboratory,
Department of Mechanical, Automotive
and Materials Engineering,
Windsor, ON N9B3P4, Canada
e-mail: dting@uwindsor.ca

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 20, 2017; final manuscript received October 7, 2017; published online January 9, 2018. Assoc. Editor: Arindam Banerjee.

J. Fluids Eng 140(5), 054502 (Jan 09, 2018) (5 pages) Paper No: FE-17-1439; doi: 10.1115/1.4038661 History: Received July 20, 2017; Revised October 07, 2017

When buoyant vortex rings form, azimuthal disturbances occur on their surface. When the magnitude of the disturbance is sufficiently high, the ring will become turbulent. This paper establishes conditions for categorization of a buoyant vortex ring as laminar, transitional, or turbulent. The transition regime of enclosed-air buoyant vortex rings rising in still water was examined experimentally via two high-speed cameras. Sequences of the recorded pictures were analyzed using matlab. Key observations were summarized as follows: for Reynolds number lower than 14,000, Bond number below 30, and Weber number below 50, the vortex ring could not be produced. A transition regime was observed for Reynolds numbers between 40,000 and 70,000, Bond numbers between 120 and 280, and Weber number between 400 and 800. Below this range, only laminar vortex rings were observed, and above, only turbulent vortex rings.

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References

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Figures

Grahic Jump Location
Fig. 1

Vortex ring parameters

Grahic Jump Location
Fig. 2

Experimental apparatus

Grahic Jump Location
Fig. 3

Laminar (left) versus turbulent (right) buoyant vortex ring

Grahic Jump Location
Fig. 4

The radius ratio development at different experimental conditions. The symbol filled with a cross signifies the laminar vortex ring, while the hollow symbol represents the turbulent vortex ring.

Grahic Jump Location
Fig. 5

Transition map of the buoyant vortex ring: (a) three-dimensional transition map, (b) side view-Re versus Bo, (c) side view-Bo versus We, and (d) side view-We versus Re

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