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PreprintCC BY 4.0arXiv

Elasto-Plastocapillarity: Surface-Tension-Driven Flows of Yield-Stress Fluids

Abstract

In this perspective article, we introduce elasto-plastocapillarity: surface-tension-driven free-surface flows of yield-stress fluids in which capillary stresses compete with yielding and elastic relaxation. We frame the relevant parameter space, and highlight representative problems (drops, bubbles, jets/filaments, thin films, and porous media) that are central to applications ranging from additive manufacturing and coatings to biological flows. We then outline a set of timely open challenges, including surface-tension measurements, breakdown of scale separation near the microstructures, coupled bulk-interface flow experimental diagnosis, interfacial rheology and surface stresses, history dependence, constitutive models and boundary conditions, reduced theoretical models, and the emerging opportunity provided by artificial intelligence and microgravity; aimed at guiding future experiments, theory, and computation.

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BibTeX
@misc{jalaal2026elastoplastocapillarity,
  title = {{Elasto-Plastocapillarity: Surface-Tension-Driven Flows of Yield-Stress Fluids}},
  author = {Maziyar Jalaal},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.33345},
  eprint = {2610.33345},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.33345},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Elasto-Plastocapillarity: Surface-Tension-Driven Flows of Yield-Stress Fluids
AU  - Maziyar Jalaal
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.33345
UR  - https://arxiv.org/abs/2610.33345
AB  - In this perspective article, we introduce elasto-plastocapillarity: surface-tension-driven free-surface flows of yield-stress fluids in which capillary stresses compete with yielding and elastic relaxation. We frame the relevant parameter space, and highlight representative problems (drops, bubbles, jets/filaments, thin films, and porous media) that are central to applications ranging from additive manufacturing and coatings to biological flows. We then outline a set of timely open challenges, including surface-tension measurements, breakdown of scale separation near the microstructures, coupled bulk-interface flow experimental diagnosis, interfacial rheology and surface stresses, history dependence, constitutive models and boundary conditions, reduced theoretical models, and the emerging opportunity provided by artificial intelligence and microgravity; aimed at guiding future experiments, theory, and computation.
ER  -