English

Elastocapillary Worthington jets

Fluid Dynamics 2023-01-18 v2 Soft Condensed Matter

Abstract

The retraction of an impacting droplet on a non-wetting substrate is often associated with the formation of a Worthington jet, which is fed by the retracting liquid. A non-Newtonian rheology of the liquid is known to affect the retraction of the impacting droplet. Here we present a novel phenomenon related to the impact of viscoelastic droplets on non-wettable substrates. We reveal that the viscoelasticity of the liquid results in an \emph{elastocapillary} regime in the stretching Worthington jet, distinguished by a pinned contact line and a slender jet that does not detach from the droplet. We identify the impact conditions, in the Weber number -- Deborah number phase space, for observing these \emph{elastocapillary} Worthington jets. Such jets exhibit an effectively nearly linear (in time) variation of the strain rate. Upon further extension, the jet exhibits beads-on-a-string structures, characteristic of the \emph{elastocapillary} thinning of slender viscoelastic liquid filaments. The \emph{elastocapillary} Worthington jet is not only relevant for a droplet impact on a solid substrate scenario, but can also be expected in other configurations where a Worthington jet is observed for viscoelastic liquids, such as drop impact on a liquid pool and bubble bursting at an interface.

Keywords

Cite

@article{arxiv.2207.07928,
  title  = {Elastocapillary Worthington jets},
  author = {Uddalok Sen and Detlef Lohse and Maziyar Jalaal},
  journal= {arXiv preprint arXiv:2207.07928},
  year   = {2023}
}
R2 v1 2026-06-25T00:58:18.486Z