A numerical investigation is presented of axisymmetric, static and elongating, viscous Newtonian liquid bridges confined between identical circular disks. The time‐dependent interface shapes and applied forces on the end plates, which separate at a constant prescribed velocity, are calculated as functions of the capillary number, the viscosity ratio between the inner and outer fluids, and an initial bridge configuration characterized by the aspect ratio. The numerical simulations are in excellent agreement with available experimental data and provide useful insight into the different dynamical responses of extending liquid bridge configurations. In particular, liquid bridges surrounded by fluids of a relatively small viscosity deform in a fore‐aft symmetrical manner and undergo breakup sooner than in the case of relatively viscous outer fluids, which also require a greater applied force on the end plates to maintain the desired motion. Decreasing the capillary number (increasing interfacial tension) and the initial aspect ratio result in shorter bridge lengths prior to breakup and an increase in the applied forces on the end plates.
Skip Nav Destination
Article navigation
October 1996
Research Article|
October 01 1996
Extensional deformation of Newtonian liquid bridges
S. Gaudet;
S. Gaudet
Division of Engineering & Applied Sciences, Harvard University, Cambridge, Massachusetts 02138
Search for other works by this author on:
G. H. McKinley;
G. H. McKinley
Division of Engineering & Applied Sciences, Harvard University, Cambridge, Massachusetts 02138
Search for other works by this author on:
H. A. Stone
H. A. Stone
Division of Engineering & Applied Sciences, Harvard University, Cambridge, Massachusetts 02138
Search for other works by this author on:
Physics of Fluids 8, 2568–2579 (1996)
Article history
Received:
August 31 1995
Accepted:
June 07 1996
Citation
S. Gaudet, G. H. McKinley, H. A. Stone; Extensional deformation of Newtonian liquid bridges. Physics of Fluids 1 October 1996; 8 (10): 2568–2579. https://doi.org/10.1063/1.869044
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
On Oreology, the fracture and flow of “milk's favorite cookie®”
Crystal E. Owens, Max R. Fan (范瑞), et al.
Chinese Academy of Science Journal Ranking System (2015–2023)
Cruz Y. Li (李雨桐), 李雨桐, et al.
Physics-informed neural networks for solving Reynolds-averaged Navier–Stokes equations
Hamidreza Eivazi, Mojtaba Tahani, et al.
Related Content
A treatise on field extensions and algebraic extensions
AIP Conf. Proc. (June 2024)
Sliced Extensions, Irreducible Extensions, and Associated Graphs: An Analysis of Lie Algebra Extensions. I. General Theory
J. Math. Phys. (April 1972)
Kinks and extensions
J. Math. Phys. (November 1975)
The gap between extension agents’ interests and needs towards agricultural extension media
AIP Conf. Proc. (April 2024)