One‐dimensional models for slender axisymmetric viscous liquid bridges
作者:
F. Javier Garci´a,
Antonio Castellanos,
期刊:
Physics of Fluids
(AIP Available online 1996)
卷期:
Volume 8,
issue 11
页码: 2837-2846
ISSN:1070-6631
年代: 1996
DOI:10.1063/1.869087
出版商: AIP
数据来源: AIP
摘要:
A set of one‐dimensional models, previously derived for liquid jets, is generalized to viscous liquid bridges by applying suitably modified boundary conditions at the anchoring disks. A linear analysis for small‐amplitude perturbations around the cylindrical static solution is performed. The oscillation frequencies and growth factors so obtained are compared to the already known linear three‐dimensional results for a wide range in both the slenderness and viscosity. The relative error of each model is studied in terms of the typical axial length. Good agreement is found for slender enough bridges. The existence of boundary layers for weakly dissipative liquid bridges in the context of one‐dimensional models is also discussed. ©1996 American Institute of Physics.
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