English

Spreading of viscoplastic droplets

Fluid Dynamics 2021-07-01 v1 Soft Condensed Matter

Abstract

The spreading under surface tension and gravity of a droplet of yield-stress fluid over a thin film of the same material is studied. The droplet converges to a final equilibrium shape once the driving stresses inside the droplet fall below the yield stress. Scaling laws are presented for the final radius and complemented with an asymptotic analysis for shallow droplets. Moreover, numerical simulations using the volume-of-fluid method and a regularized constitutive law, and experiments with an aqueous solution of Carbopol are presented.

Keywords

Cite

@article{arxiv.2010.02894,
  title  = {Spreading of viscoplastic droplets},
  author = {Maziyar Jalaal and Boris Stoeber and Neil Balmforth},
  journal= {arXiv preprint arXiv:2010.02894},
  year   = {2021}
}

Comments

18 pages, 12 figures

R2 v1 2026-06-23T19:05:51.110Z