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PreprintCC BY-NC-ND 4.0arXiv

Controlled drop generation via ligament extraction from a static or vibrating liquid bath

  • Johnathan Hoggarth
  • Daniel M. Harris
  • John W. M. Bush
  • Bauyrzhan K. Primkulov
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Abstract

We introduce a simple method for generating droplets at the surface of a liquid bath by rapidly stretching a liquid ligament with a spring-loaded cylindrical probe. By varying the probe radius a and retraction length L, we identify three regimes. Overstretching a thin ligament produces multiple drops, while insufficient stretching of a thick ligament yields none. The optimal regime for single-drop generation lies in between. In the single-drop regime, the drop radius scales as R ∼ a2/3 L1/3, consistent with volume conservation of the stretched ligament. This method enables repeatable generation of single droplets (with <5% variation in R) on both still and vibrating baths and of ordered droplet lattices for pilot-wave hydrodynamics experiments.

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Cite

BibTeXRIS
BibTeX
@misc{hoggarth2026controlled,
  title = {{Controlled drop generation via ligament extraction from a static or vibrating liquid bath}},
  author = {Johnathan Hoggarth and Daniel M. Harris and John W. M. Bush and Bauyrzhan K. Primkulov},
  howpublished = {arXiv},
  year = {2026},
  month = jul,
  doi = {10.48550/arxiv.2607.15377},
  eprint = {2607.15377},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.15377},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Controlled drop generation via ligament extraction from a static or vibrating liquid bath
AU  - Johnathan Hoggarth
AU  - Daniel M. Harris
AU  - John W. M. Bush
AU  - Bauyrzhan K. Primkulov
PY  - 2026
DA  - 2026/07/16
PB  - arXiv
DO  - 10.48550/arxiv.2607.15377
UR  - https://arxiv.org/abs/2607.15377
AB  - We introduce a simple method for generating droplets at the surface of a liquid bath by rapidly stretching a liquid ligament with a spring-loaded cylindrical probe. By varying the probe radius a and retraction length L, we identify three regimes. Overstretching a thin ligament produces multiple drops, while insufficient stretching of a thick ligament yields none. The optimal regime for single-drop generation lies in between. In the single-drop regime, the drop radius scales as R ∼ a^2/3 L^1/3, consistent with volume conservation of the stretched ligament. This method enables repeatable generation of single droplets (with <5% variation in R) on both still and vibrating baths and of ordered droplet lattices for pilot-wave hydrodynamics experiments.
ER  -