Liquid bridge length scale based nondimensional groups for mapping transitions between regimes in capillary break-up experiments

Karel Verbeke (Corresponding author), Susanna Formenti (Corresponding author), F. Briatico-Vangosa, Christos Mitrias, Naveen Krishna Reddy, Patrick D. Anderson, Christian Clasen

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
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Abstract

Criteria to identify transitions between dynamic self-similar linear thinning regimes of liquid bridges are of utmost importance in order to accurately interpret results in capillary break-up rheometry. Currently available criteria encompass many experimental difficulties or rely on numerical approaches. Here, we introduce a different set of nondimensional groups, OhL=ηin/γρL and a=R/L, based on the experimentally relevant axial length scale of a liquid bridge L, for viscous-dominated fluids undergoing capillary break-up in air. This framework is further extended to encompass the effect of outer viscous fluids. As a result, we present a two-dimensional operating map in which the boundaries are set by fluid properties and a single geometrical parameter, related to the experimental configuration. This approach establishes guidelines to correctly interpret experimental data and identify transitions in capillary break-up experiments of liquid bridges surrounded by fluids of different viscosities.

Original languageEnglish
Article number051901
Number of pages8
JournalPhysical Review Fluids
Volume5
Issue number5
DOIs
Publication statusPublished - 1 May 2020

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