Free-surface jetting driven by a cavitating vortex ring

The collapse of an initially spherical cavitation bubble near a free surface leads to the formation of two jets: a downward jet into the liquid, and an upward jet penetrating the free surface. In this study, we examine the surprising interaction of a bubble trapped in a stable cavitating vortex ring approaching a free surface. As a result, a single fast and tall liquid jet forms. We find that this jet is observed only above critical Froude numbers ( $Fr$ ) and Weber numbers ( $We$ ) when ${Fr}^2 (1.6-2.73/{We}) > 1$ , illustrating the importance of inertia, gravity and surface tension in accelerating this novel jet and thereby reaching heights several hundred times the radius of the vortex ring. Our experimental results are supported by numerical simulations, revealing that the underlying mechanism driving the vortex ring acceleration is the disruption of the equilibrium of high-pressure regions at the front and rear of the vortex ring caused by the free surface. Quantitative analysis based on the energy relationships elucidates that the velocity ratio between the maximum velocity of the free-surface jet and the translational velocity of the vortex ring is relatively stable yet is attenuated by surface tension when the jet is mild.

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Publication Details

Journal
Journal of Fluid Mechanics
Published
2025-01-10
DOI
https://doi.org/10.1017/jfm.2024.1209
Citations
58
Primary Topic
Fluid Dynamics and Heat Transfer
Type
article
Field-Weighted Citation Impact
77.42

Funders

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article

Free-surface jetting driven by a cavitating vortex ring

Tianyuan Zhang, Luoqin Liu, S. Alice Long, Claus‐Dieter Ohl et al.
58 citations
Journal of Fluid Mechanics
Fluid Dynamics and Heat Transfer
77.42
article

Free-surface jetting driven by a cavitating vortex ring

Tianyuan Zhang, Luoqin Liu, S. Alice Long, Claus‐Dieter Ohl, A‐Man Zhang, Rui Han, Sai Zhang, Shuai Li
article en
58 citations

Abstract

The collapse of an initially spherical cavitation bubble near a free surface leads to the formation of two jets: a downward jet into the liquid, and an upward jet penetrating the free surface. In this study, we examine the surprising interaction of a bubble trapped in a stable cavitating vortex ring approaching a free surface. As a result, a single fast and tall liquid jet forms. We find that this jet is observed only above critical Froude numbers ( $Fr$ ) and Weber numbers ( $We$ ) when ${Fr}^2 (1.6-2.73/{We}) > 1$ , illustrating the importance of inertia, gravity and surface tension in accelerating this novel jet and thereby reaching heights several hundred times the radius of the vortex ring. Our experimental results are supported by numerical simulations, revealing that the underlying mechanism driving the vortex ring acceleration is the disruption of the equilibrium of high-pressure regions at the front and rear of the vortex ring caused by the free surface. Quantitative analysis based on the energy relationships elucidates that the velocity ratio between the maximum velocity of the free-surface jet and the translational velocity of the vortex ring is relatively stable yet is attenuated by surface tension when the jet is mild.

Journal of Fluid MechanicsVol. 1003
University of Science and Technology of China (CN), Harbin Engineering University (CN), Systems Engineering Society of China (CN), Otto-von-Guericke-Universität Magdeburg (DE)
National Natural Science Foundation of China, Natural Science Foundation of Heilongjiang Province
Affordable and clean energy
Openalex Percentile: Top 0%
Fluid Dynamics and Heat Transfer
77.42
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