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PreprintarXiv licencearXiv

On the size and shape of condensing steam jets and plumes

Abstract

Droplet-laden cloud dynamics emerge from coupled phase transitions and turbulent mixing. Combining experiments and mean-field theory, we establish scaling laws for steam-injected clouds in unsaturated air seeded with condensation nuclei. Depending on whether the cloud is confined to the initial momentum-dominated zone of the jet or extends into the buoyancy-dominated plume, two asymptotic regimes arise. In the momentum regime, cloud dimensions scale with the injector radius. In the buoyancy regime, size follows a ṁ2/5 scaling, where ṁ is the injected steam mass flow rate. Assuming inter-droplet air remains humidity-saturated, our mean-field analysis predicts cloud persistence governed by enthalpy and humidity mixing. These findings bridge microphysical processes and macroscale dynamics, offering a quantitative framework for atmospheric cloud evolution.

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BibTeX
@misc{fourcade2026size,
  title = {{On the size and shape of condensing steam jets and plumes}},
  author = {N. Fourcade and F. Poydenot and P. Langlois and F. Barbe and N. Sinnathamby and P. Claudin and B. Andreotti},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14787},
  eprint = {2609.14787},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14787},
}
RIS
TY  - UNPB
TI  - On the size and shape of condensing steam jets and plumes
AU  - N. Fourcade
AU  - F. Poydenot
AU  - P. Langlois
AU  - F. Barbe
AU  - N. Sinnathamby
AU  - P. Claudin
AU  - B. Andreotti
PY  - 2026
DA  - 2026/09/13
PB  - arXiv
DO  - 10.48550/arxiv.2609.14787
UR  - https://arxiv.org/abs/2609.14787
AB  - Droplet-laden cloud dynamics emerge from coupled phase transitions and turbulent mixing. Combining experiments and mean-field theory, we establish scaling laws for steam-injected clouds in unsaturated air seeded with condensation nuclei. Depending on whether the cloud is confined to the initial momentum-dominated zone of the jet or extends into the buoyancy-dominated plume, two asymptotic regimes arise. In the momentum regime, cloud dimensions scale with the injector radius. In the buoyancy regime, size follows a ṁ^2/5 scaling, where ṁ is the injected steam mass flow rate. Assuming inter-droplet air remains humidity-saturated, our mean-field analysis predicts cloud persistence governed by enthalpy and humidity mixing. These findings bridge microphysical processes and macroscale dynamics, offering a quantitative framework for atmospheric cloud evolution.
SN  - 0031-9007
SN  - 1079-7114
ER  -