The shape of two-dimensional liquid bridges

• Tipo: Artigo em Revista Científica Internacional
• Data: 2020

Autores

Teixeira, PIC (Autor) Outra; Teixeira, MAC (Autor) Outra

Revista

Título: Journal of Physics Condensed Matter

Vol. 32

ISSN: 0953-8984

Editora: Institute of Physics Publishing

Indexação

ISI Web of Knowledge - 9 Citações

Outras Informações

ID Authenticus: P-00R-N2R

DOI: 10.1088/1361-648x/ab48b7

Abstract (EN): 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 Bo) for which the liquid bridge can exist, for given contact angles at the top and bottom substrates (theta(t)(c) and theta(b)(c), respectively). In particular, we find that the absolute maximum span of a liquid bridge is four capillary lengths, for theta(b)(c) = 180 degrees and theta(t)(c) = 0 degrees; whereas for theta(b)(c) = 0 degrees and theta(t)(c) = 180 degrees 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 13