Skip to main content
Journal cover image

Lagrangian tracking reveals competing influences of clustering and turbulence on the rise velocity of bubble swarms.

Publication ,  Journal Article
Hessenkemper, H; Bragg, AD; Lucas, D; Ma, T
Published in: Proceedings of the National Academy of Sciences of the United States of America
December 2025

The rise velocity of bubble swarms is a fundamental property in many natural and industrial flows. A central question is whether clustering of bubbles enhances or suppresses their rise velocity compared to isolated single bubbles in quiescent fluid. We address this issue using a recently developed three-dimensional Lagrangian bubble tracking technique, with accurate rise velocity measurements obtained by simultaneously tracking tracer particles around each bubble. For bubbles within swarms, we find that clustered bubbles rise faster than unclustered ones. A conditional analysis based on cluster orientation suggests that this enhancement results from a wake suction effect acting on trailing bubbles. However, even clustered bubbles rise considerably slower than isolated single bubbles due to their exposure to turbulence generated by other bubbles, which randomizes their trajectories and reduces rising efficiency.

Duke Scholars

Published In

Proceedings of the National Academy of Sciences of the United States of America

DOI

EISSN

1091-6490

ISSN

0027-8424

Publication Date

December 2025

Volume

122

Issue

48

Start / End Page

e2518309122
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Hessenkemper, H., Bragg, A. D., Lucas, D., & Ma, T. (2025). Lagrangian tracking reveals competing influences of clustering and turbulence on the rise velocity of bubble swarms. Proceedings of the National Academy of Sciences of the United States of America, 122(48), e2518309122. https://doi.org/10.1073/pnas.2518309122
Hessenkemper, Hendrik, Andrew D. Bragg, Dirk Lucas, and Tian Ma. “Lagrangian tracking reveals competing influences of clustering and turbulence on the rise velocity of bubble swarms.Proceedings of the National Academy of Sciences of the United States of America 122, no. 48 (December 2025): e2518309122. https://doi.org/10.1073/pnas.2518309122.
Hessenkemper H, Bragg AD, Lucas D, Ma T. Lagrangian tracking reveals competing influences of clustering and turbulence on the rise velocity of bubble swarms. Proceedings of the National Academy of Sciences of the United States of America. 2025 Dec;122(48):e2518309122.
Hessenkemper, Hendrik, et al. “Lagrangian tracking reveals competing influences of clustering and turbulence on the rise velocity of bubble swarms.Proceedings of the National Academy of Sciences of the United States of America, vol. 122, no. 48, Dec. 2025, p. e2518309122. Epmc, doi:10.1073/pnas.2518309122.
Hessenkemper H, Bragg AD, Lucas D, Ma T. Lagrangian tracking reveals competing influences of clustering and turbulence on the rise velocity of bubble swarms. Proceedings of the National Academy of Sciences of the United States of America. 2025 Dec;122(48):e2518309122.
Journal cover image

Published In

Proceedings of the National Academy of Sciences of the United States of America

DOI

EISSN

1091-6490

ISSN

0027-8424

Publication Date

December 2025

Volume

122

Issue

48

Start / End Page

e2518309122