The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Jet formation in bubbles bursting at a free surface
Open accessAbstract
We study numerically bubbles bursting at a free surface and the subsequent jet formation. The Navier–Stokes equations with a free surface and surface tension are solved using a marker-chain approach. Differentiation and boundary conditions near the free surface are satisfied using least-squares methods. Initial conditions involve a bubble connected to the outside atmosphere by a preexisting opening in a thin liquid layer. The evolution of the bubble is studied as a function of bubble radius. A jet forms with or without the formation of a tiny air bubble at the base of the jet. The radius of the droplet formed at the tip of the jet is found to be about one tenth of the initial bubble radius. A series of critical radii exist, for which a transition from a dynamics with or without bubbles exist. For some parameter values, the jet formation is close to a singular flow, with a conical cavity shape and a large curvature or cusp at the bottom. This is compared to similar singularities investigated in other contexts such as Faraday waves.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Bubble entrainment by the impact of drops on liquid surfaces
Oğuz, H. N., & Prosperetti, A. (1990) · Journal of Fluid Mechanics · doi:10.1017/s0022112090002890 · Cited by 369
Gas bubbles bursting at a free surface
Boulton-Stone, J. M., & Blake, J. R. (1993) · Journal of Fluid Mechanics · doi:10.1017/s0022112093002216 · Cited by 295
Singularity dynamics in curvature collapse and jet eruption on a fluid surface
Zeff, B. W., Kleber, B., Fineberg, J., & Lathrop, D. P. (2000) · Nature · doi:10.1038/35000151 · Cited by 267
Flow patterns in breaking bubbles
MacIntyre, F. (1972) · Journal of Geophysical Research · doi:10.1029/jc077i027p05211 · Cited by 242
Bubble collapse near a solid boundary: a numerical study of the influence of viscosity
POPINET, S., & ZALESKI, S. (2002) · Journal of Fluid Mechanics · doi:10.1017/s002211200200856x · Cited by 235
Self-citationOn the births of jet drops from bubbles bursting on water surfaces
Spiel, D. E. (1995) · Journal of Geophysical Research: Oceans · doi:10.1029/94jc03055 · Cited by 172
An analytic model of sound production by raindrops
Longuet-Higgins, M. S. (1990) · Journal of Fluid Mechanics · doi:10.1017/s0022112090000179 · Cited by 113
The effect of surfactant on bursting gas bubbles
Boulton-Stone, J. M. (1995) · Journal of Fluid Mechanics · doi:10.1017/s0022112095004083 · Cited by 37
Cited by
Mass Transfer at the Ocean–Atmosphere Interface: The Role of Wave Breaking, Droplets, and Bubbles
Deike, L. (2022) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-030121-014132 · Cited by 282
Tzanakis, I., Eskin, D. G., Georgoulas, A., & Fytanidis, D. K. (2014) · Ultrasonics Sonochemistry · doi:10.1016/j.ultsonch.2013.10.003 · Cited by 185
Characterization of Bubble Column Photobioreactors for Shear-Sensitive Microalgae Culture
López-Rosales, L., Sánchez-Mirón, A., Contreras-Gómez, A., García-Camacho, F., Battaglia, F., Zhao, L., & Molina-Grima, E. (2019) · Bioresource Technology · doi:10.1016/j.biortech.2018.12.009 · Cited by 50
Metadata
- Authors
- Duchemin, L., Popinet, S., Josserand, C., & Zaleski, S.
- Venue
- Physics of Fluids
- Publisher
- AIP Publishing
- Published
- 2002-09-01
- Volume
- 14
- Issue
- 9
- Pages
- 3000-3008
- ISSN
- 1070-6631 (ISSN-L)
- 1089-7666
- OpenAlex
- W1985761176
- Cited by
- 259
- References
- 8
- FWCI
- 2.48
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Jet formation in bubbles bursting at a free surface. https://app.cochat.ai/papers/10.1063/1.1494072
- The paper
- Duchemin, L., Popinet, S., Josserand, C., & Zaleski, S. (2002). Jet formation in bubbles bursting at a free surface. Physics of Fluids. https://doi.org/10.1063/1.1494072
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.