Abstract
Bubble collisions with solid surfaces are critical in both natural and industrial contexts, ranging from gas absorption in bioreactors to marine aerosol production. Despite their ubiquity, the physical criteria underlying bounce dynamics remain unresolved. Here, through experiments and simulations, we map the phase diagram of rising bubbles impacting a wall in Galilei (Ga)–Bond (Bo) space, revealing four dynamic regimes: fully bouncing, underdamped non-bouncing, overdamped non-bouncing, and breakup. We find that bouncing is governed jointly by Ga and Bo, while underdamped dynamics depend solely on Ga. The initial rise distance modulates regime transitions only when shorter than five bubble radii, whereas longer rise distances in high Ga and Bo regions promote bubble breakup and suppress bouncing. We develop a unifying double-mass-spring-damper model, quantitatively matching the complete rebound and damped adhesion regimes, and explain bouncing suppression in microgravity and low-viscosity fluids via energy dissipation analysis. Our work provides a unified framework that clarifies the governing mechanisms of bubble-impact dynamics, offering design principles for applications in chemical engineering, biomedicine, and environmental flows.
Similar content being viewed by others
Data availability
All raw data39 related to the main text and supporting information are provided in the Source Data File at (https://doi.org/10.5281/zenodo.18787561), which links to the GitHub repository: (https://github.com/zhangxyPHD/When-bubbles-bounce-or-stick). Source data are provided with this paper.
Code availability
The codes39 used in this study for bubble rising and impact are publicly available at (https://doi.org/10.5281/zenodo.18787561), which links to the GitHub repository: (https://github.com/zhangxyPHD/When-bubbles-bounce-or-stick).
References
Farmer, T. C., McFarland, E. W. & Doherty, M. F. Membrane bubble column reactor model for the production of hydrogen by methane pyrolysis. Int. J. Hydrog. Energy 44, 14721–14731 (2019).
Zhang, Y. et al. Continuous air purification by aqueous interface filtration and absorption. Nature 610, 74–80 (2022).
García-Magariño, A., Lopez-Gavilan, P., Sor, S. & Terroba, F. Micro/bubble drag reduction focused on new applications. JMSE 11, 1315 (2023).
Popinet, S. & Zaleski, S. Bubble collapse near a solid boundary: a numerical study of the influence of viscosity. J. Fluid Mech. 464, 137–163 (2002).
Kosior, D., Zawala, J. & Malysa, K. Influence of n-octanol on the bubble impact velocity, bouncing and the three phase contact formation at hydrophobic solid surfaces. Colloids Surf. A: Physicochem. Eng. Asp. 441, 788–795 (2014).
Kang, D. et al. Recent advances in two-phase immersion cooling with surface modifications for thermal management. Energies 15, 1214 (2022).
Cheng, X. et al. Bubble management for electrolytic water splitting by surface engineering: a review. Langmuir 39, 16994–17008 (2023).
Qin, L. et al. Multiscale interactions of liquid, bubbles and solid phases in ultrasonic fields revealed by multiphysics modelling and ultrafast X-ray imaging. Ultrason. Sonochem. 89, 106158 (2022).
Tsao, H.-K. & Koch, D. L. Observations of high Reynolds number bubbles interacting with a rigid wall. Phys. Fluids 9, 44–56 (1997).
Malysa, K., Krasowska, M. & Krzan, M. Influence of surface active substances on bubble motion and collision with various interfaces. Adv. Colloid Interface Sci. 114–115, 205–225 (2005).
Zawala, J., Krasowska, M., Dabros, T. & Malysa, K. Influence of bubble kinetic energy on its bouncing during collisions with various interfaces. Can. J. Chem. Eng. 85, 669–678 (2007).
Krasowska, M. & Malysa, K. Wetting films in attachment of the colliding bubble. Adv. Colloid Interface Sci. 134–135, 138–150 (2007).
Rong, F., He, L., Lü, Y., Lu, X. & Wang, C. The bounce behavior of a freely rising oil droplet in water under the horizontal wall constraint. Int. J. Multiph. Flow. 162, 104404 (2023).
Feng, J., Muradoglu, M., Kim, H., Ault, J. T. & Stone, H. A. Dynamics of a bubble bouncing at a liquid/liquid/gas interface. J. Fluid Mech. 807, 324–352 (2016).
Manica, R., Klaseboer, E. & Chan, D. Y. C. The impact and bounce of air bubbles at a flat fluid interface. Soft Matter 12, 3271–3282 (2016).
He, W. et al. A three-dimensional force balance model for predicting bubble departure in conventional circular tubes. Int. Commun. Heat. Mass Transf. 169, 109614 (2025).
Jing, Z., Chen, C., Feng, C., Zou, X. & Qiao, M. Deformation of bubbles in an inclined and liquid-filled circular tube. Chem. Eng. Sci. 318, 122154 (2025).
Yoon, D., Park, H. J., Tasaka, Y. & Murai, Y. Wall-sliding bubbles in inclined turbulent channel flow. Chem. Eng. Sci. 311, 121631 (2025).
Klaseboer, E., Manica, R., Hendrix, M. H. W., Ohl, C.-D. & Chan, D. Y. C. A force balance model for the motion, impact, and bounce of bubbles. Phys. Fluids 26, 092101 (2014).
Legendre, D., Daniel, C. & Guiraud, P. Experimental study of a drop bouncing on a wall in a liquid. Phys. Fluids 17, 097105 (2005).
Zenit, R. & Legendre, D. The coefficient of restitution for air bubbles colliding against solid walls in viscous liquids. Phys. Fluids 21, 083306 (2009).
Legendre, D., Zenit, R., Daniel, C. & Guiraud, P. A note on the modelling of the bouncing of spherical drops or solid spheres on a wall in viscous fluid. Chem. Eng. Sci. 61, 3543–3549 (2006).
Manica, R., Klaseboer, E. & Chan, D. Y. C. Force Balance Model for Bubble Rise, Impact, and Bounce from Solid Surfaces. Langmuir 31, 6763–6772 (2015).
Manica, R., Klaseboer, E. & Chan, D. Y. C. The hydrodynamics of bubble rise and impact with solid surfaces. Adv. Colloid Interface Sci. 235, 214–232 (2016).
Tripathi, M. K., Sahu, K. C. & Govindarajan, R. Dynamics of an initially spherical bubble rising in quiescent liquid. Nat. Commun. 6, 6268 (2015).
Zhang, C., Li, J., Luo, L.-S. & Qian, T. Numerical simulation for a rising bubble interacting with a solid wall: Impact, bounce, and thin film dynamics. Phys. Fluids 30, 112106 (2018).
Jenkinson, I. R., Sun, X. X. & Seuront, L. Thalassorheology, organic matter and plankton: towards a more viscous approach in plankton ecology. J. Plankton Res. 37, 1100–1109 (2015).
Jamroen, C. Optimal techno-economic sizing of a standalone floating photovoltaic/battery energy storage system to power an aquaculture aeration and monitoring system. Sustain. Energy Technol. Assess. 50, 101862 (2022).
Zhang, J. et al. Enhanced minimum spanning tree optimization for air-lifted artificial upwelling pipeline network. J. Mar. Sci. Eng. 13, 317 (2025).
Biance, A.-L., Chevy, F., Clanet, C., Lagubeau, G. & Quéré, D. On the elasticity of an inertial liquid shock. J. Fluid Mech. 554, 47–66 (2006).
Zhang, X., Zhang, Y. & Liew, K. M. Machine learning predictive model for dynamic response of rising bubbles impacting on a horizontal wall. Comput. Methods Appl. Mech. Eng. 429, 117157 (2024).
Zhang, X., Huang, J. & Liew, K. M. Machine learning enhanced exploration of bubble dynamics beneath a horizontal wall. Comput. Methods Appl. Mech. Eng. 425, 116936 (2024).
Krasowska, M., Krzan, M. & Malysa, K. Bubble collisions with hydrophobic and hydrophilic surfaces in α-terpineol solutions. Physicochem. Probl. Miner. Process. 37, 37–50 (2003).
Scardovelli, R. & Zaleski, S. Direct numerical simulation of free-surface and interfacial flow. Annu. Rev. Fluid Mech. 31, 567–603 (1999).
Pryor, R. W. et al. Multiphysics Modeling Using COMSOL 5 and MATLAB. (Mercury Learning and Information, 2021).
Popinet, S. Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries. J. Comput. Phys. 190, 572–600 (2003).
Popinet, S. A quadtree-adaptive multigrid solver for the Serre–Green–Naghdi equations. J. Comput. Phys. 302, 336–358 (2015).
Popinet, S. An accurate adaptive solver for surface-tension-driven interfacial flows. J. Comput. Phys. 228, 5838–5866 (2009).
Zhang, X., Xu, Z., Wang, S. & Liew, K. M. Code and source data for ‘when bubbles bounce or stick’. Zenodo https://doi.org/10.5281/zenodo.18787561 (2026).
Acknowledgements
The work described in this paper is supported by the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. 9043684, CityU 11207424; Project No. 8730079, C1014-22G and Project No. 8780054, STG5/E-103/24-R, K.M.L.). We would like to acknowledge the CityU High-Performance Computing (HPC) resources in Hong Kong SAR. We are grateful for the discussions with Wai Kin Lo and Lu-Wen Zhang.
Author information
Authors and Affiliations
Contributions
K.M.L. supervised and funded the research. X.Y.Z. conceived the research, built the analytical models, conducted the DNS simulations, and interpreted the data. X.Y.Z. and Z.B.X. designed the experiments. Z.B.X. carried out the experiments and performed image analysis. S.W. and K.M.L. contributed to the interpretation of the results. All authors X.Y.Z., Z.B.X., S.W. and K.M.L. wrote the paper.
Corresponding authors
Ethics declarations
Competing interests
The authors report no conflict of interest.
Peer review
Peer review information
Nature Communications thanks Niklas Hidman, Philippe Brunet and Romuald Mosdorf who co-reviewed with Gabriela Rafałko, for their contribution to the peer review of this work. A peer review file is available.”
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.
About this article
Cite this article
Zhang, X., Xu, Z., Wang, S. et al. When bubbles bounce or stick. Nat Commun (2026). https://doi.org/10.1038/s41467-026-70921-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1038/s41467-026-70921-2


