Abstract
Flow transitions and vortical developments during vortex-ring collisions with a sharp water–oil density interface are studied using planar laser-induced fluorescence and time-resolved particle-image velocimetry techniques. Circular vortex-rings at Reynolds numbers of \(\hbox {Re}=1000, 2000\) and 4000 colliding with a density interface characterized by an Atwood number of approximately \(A=0.045\) were investigated. Results show that at \(\hbox {Re}=1000\), collision with the density interface produces vortical structures and flow transitions that are relatively similar to those for a solid-boundary collision. However, the dynamics underlying the present vortical formations and behaviour are different from those associated with solid-boundary collisions, in that the former are driven by baroclinic vorticity generation. Flow behaviour at \(\hbox {Re}=2000\) shows more significant deformation of the density interface by the vortex-ring but overall behaviour remains comparable. Last but not least, at \(\hbox {Re}=4000\), the largest Reynolds number investigated here, the vortex-ring penetrates the density interface almost completely. However, buoyancy effects eventually limit its penetration and reverse its translational direction, such that it crosses back into the oil layer again with its vortex core rotational senses reversed as well. At the same time, vortex-ring fluid is shed and a significant trailing-jet is left in the former’s wake.
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Acknowledgements
The authors acknowledge support for the present study by the School of Mechanical & Aerospace Engineering and CN Yang Scholars” Programme at Nanyang Technological University, Singapore. Funding provided for the first author to present this work at the 15th Asian Symposium on Visualization under a School of Mechanical & Aerospace Engineering Enrichment Grant is also gratefully acknowledged.
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Yeo, K.W.B., Koh, J.Y., Long, J. et al. Flow transitions in collisions between vortex-rings and density interfaces. J Vis 23, 783–791 (2020). https://doi.org/10.1007/s12650-020-00666-7
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DOI: https://doi.org/10.1007/s12650-020-00666-7