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PreprintCC BY 4.0arXiv

Beyond capillarity: extended interfacial energy transfer in bubble-laden turbulence

  • Andrea Montessori
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Abstract

Capillary forces are commonly regarded as an energetically closed channel in multiphase turbulence, redistributing kinetic energy across scales without net gain or loss. Here we show that this picture breaks down in bubble-laden turbulence when short-range near-contact interactions are active. A spectral analysis of the kinetic-energy budget reveals that the cumulative capillary power does not vanish at statistical stationarity, but instead retains a finite negative residual. This apparent imbalance is exactly compensated by the work of short-range repulsive forces, which is negligible at large and intermediate scales and becomes positive only at small scales. Near-contact interactions therefore open a distinct small-scale pathway in the interfacial energy transfer, rather than acting as a mere regularization of unresolved thin films. The proper scale-by-scale description is thus an extended interfacial transfer, combining capillary and near-contact work, rather than a purely capillary one.

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Cite

BibTeXRIS
BibTeX
@misc{montessori2026beyond,
  title = {{Beyond capillarity: extended interfacial energy transfer in bubble-laden turbulence}},
  author = {Andrea Montessori},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17734},
  eprint = {2609.17734},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17734},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Beyond capillarity: extended interfacial energy transfer in bubble-laden turbulence
AU  - Andrea Montessori
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.17734
UR  - https://arxiv.org/abs/2609.17734
AB  - Capillary forces are commonly regarded as an energetically closed channel in multiphase turbulence, redistributing kinetic energy across scales without net gain or loss. Here we show that this picture breaks down in bubble-laden turbulence when short-range near-contact interactions are active. A spectral analysis of the kinetic-energy budget reveals that the cumulative capillary power does not vanish at statistical stationarity, but instead retains a finite negative residual. This apparent imbalance is exactly compensated by the work of short-range repulsive forces, which is negligible at large and intermediate scales and becomes positive only at small scales. Near-contact interactions therefore open a distinct small-scale pathway in the interfacial energy transfer, rather than acting as a mere regularization of unresolved thin films. The proper scale-by-scale description is thus an extended interfacial transfer, combining capillary and near-contact work, rather than a purely capillary one.
ER  -