Search from over 60,000 research works

Advanced Search

The shape of two-dimensional liquid bridges

Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email

Teixeira, P. I. C. and Teixeira, M. A. C. orcid id iconORCID: https://orcid.org/0000-0003-1205-3233 (2020) The shape of two-dimensional liquid bridges. Journal of Physics: Condensed Matter, 32 (3). 034002. ISSN 1361-648X doi: 10.1088/1361-648X/ab48b7

Abstract/Summary

We have studied a single vertical, two-dimensional liquid bridge spanning the gap between two flat, horizontal solid substrates of given wettabilities. For this simple geometry, the Young-Laplace equation can be solved (quasi-)analytically to yield the equilibrium bridge shape under gravity. We establish the range of gap widths (as described by a Bond number ${\rm Bo}$) for which the liquid bridge can exist, for given contact angles at the top and bottom substrates ($\theta_c^t$ and $\theta_c^b$, respectively). In particular, we find that the absolute maximum span of a liquid bridge is four capillary lengths, for $\theta_c^b=180^\circ$ and $\theta_c^t=0^\circ$; whereas for $\theta_c^b=0^\circ$ and $\theta_c^t=180^\circ$ no bridge can form, for any substrate separation. We also obtain the minimum value of the cross-sectional area of such a liquid bridge, as well as the conditions for the existence and positions of any necks or bulges and inflection points on its surface. This generalises our earlier work in which the gap was assumed to be spanned by a liquid film of zero thickness connecting two menisci at the bottom and top substrates.

Altmetric Badge

Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/86418
Item Type Article
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
Uncontrolled Keywords Thin films, Liquid Interfaces, Surface tension, Gravity
Publisher Institute of Physics Publishing
Download/View statistics View download statistics for this item

Downloads

Downloads per month over past year

University Staff: Request a correction | Centaur Editors: Update this record

Search Google Scholar