The stability of an encapsulated cylindrical liquid bridge subject to off-centering

2005 ◽  
Vol 17 (3) ◽  
pp. 032102
Author(s):  
A. Kerem Uguz ◽  
R. Narayanan
Keyword(s):  
Liquid Bridge ◽  
The Stability

Electrohydrodynamic stability: Taylor–Melcher theory for a liquid bridge suspended in a dielectric gas

2002 ◽  
Vol 452 ◽  
pp. 163-187 ◽  
Author(s):  
C. L. BURCHAM ◽  
D. A. SAVILLE
Keyword(s):  
Surface Tension ◽  
Dielectric Constant ◽  
Electric Fields ◽  
Liquid Bridge ◽  
Numerical Solutions ◽  
Specific Conductivity ◽  
Axisymmetric Deformation ◽  
Aspect Ratios ◽  
The Stability ◽  
Theory And Experiment

A liquid bridge is a column of liquid, pinned at each end. Here we analyse the stability of a bridge pinned between planar electrodes held at different potentials and surrounded by a non-conducting, dielectric gas. In the absence of electric fields, surface tension destabilizes bridges with aspect ratios (length/diameter) greater than π. Here we describe how electrical forces counteract surface tension, using a linearized model. When the liquid is treated as an Ohmic conductor, the specific conductivity level is irrelevant and only the dielectric properties of the bridge and the surrounding gas are involved. Fourier series and a biharmonic, biorthogonal set of Papkovich–Fadle functions are used to formulate an eigenvalue problem. Numerical solutions disclose that the most unstable axisymmetric deformation is antisymmetric with respect to the bridge’s midplane. It is shown that whilst a bridge whose length exceeds its circumference may be unstable, a sufficiently strong axial field provides stability if the dielectric constant of the bridge exceeds that of the surrounding fluid. Conversely, a field destabilizes a bridge whose dielectric constant is lower than that of its surroundings, even when its aspect ratio is less than π. Bridge behaviour is sensitive to the presence of conduction along the surface and much higher fields are required for stability when surface transport is present. The theoretical results are compared with experimental work (Burcham & Saville 2000) that demonstrated how a field stabilizes an otherwise unstable configuration. According to the experiments, the bridge undergoes two asymmetric transitions (cylinder-to-amphora and pinch-off) as the field is reduced. Agreement between theory and experiment for the field strength at the pinch-off transition is excellent, but less so for the change from cylinder to amphora. Using surface conductivity as an adjustable parameter brings theory and experiment into agreement.

The Stability of a Thermocapillary-Buoyant Flow in a Liquid Bridge with Heat Transfer Through the Interface

2014 ◽  
Vol 26 (1) ◽  
pp. 17-28 ◽  
Author(s):  
T. Watanabe ◽  
D. E. Melnikov ◽  
T. Matsugase ◽  
V. Shevtsova ◽  
I. Ueno
Keyword(s):  
Heat Transfer ◽  
Liquid Bridge ◽  
Buoyant Flow ◽  
The Stability

On the stability of a cylindrical liquid bridge

2014 ◽  
Vol 226 (2) ◽  
pp. 233-247 ◽  
Author(s):  
Vlado A. Lubarda
Keyword(s):  
Liquid Bridge ◽  
The Stability

A Scheme of Micromanipulation using a Liquid Bridge

2003 ◽  
Vol 782 ◽  
Author(s):  
Kenichi J. Obata ◽  
Shigeki Saito ◽  
Kunio Takahashi
Keyword(s):  
Stability Analysis ◽  
Liquid Bridge ◽  
Capillary Force ◽  
Capillary Forces ◽  
Target Object ◽  
Liquid Volume ◽  
Target Point ◽  
The Stability

ABSTRACTThis paper presents a scheme of micromanipulation with a liquid bridge and an analysis of the capillary forces involved. The following procedure is considered in this article: (a) PICK UP: a probe, with liquid in the tip, approaches the target object. (b) A liquid bridge forms between the object and the tip of the probe. (c) The object is picked up by means of the capillary force of the liquid bridge. (d) TRANSPORT: The probe ascends, moves to the target point, and descends towards a substrate. (e) PLACEMENT: At a given height, a second liquid bridge made from a drop previously applied at the target point on the substrate, forms between the object and the substrate. (f) The probe ascends and the probe-object bridge collapses.The collapse can be predicted through the stability analysis of the bridge and its condition can be controlled by the regulation of the liquid volume. The liquid volumes required for the manipulation, in the first and second liquid bridge, are calculated in this paper.

scholarly journals Influence of liquid bridge formation process on its stability in nonparallel plates

RSC Advances ◽  
2020 ◽  
Vol 10 (34) ◽  
pp. 20138-20144
Author(s):  
Xiongheng Bian ◽  
Haibo Huang ◽  
Liguo Chen
Keyword(s):  
Formation Process ◽  
Liquid Bridge ◽  
Theoretical Equation ◽  
Bridge Formation ◽  
The Stability

The effect of liquid bridge formation process on its stability was discussed to obtain the theoretical equation for determining the stability of the liquid bridge.

scholarly journals On the influence of marangoni convection on the stability of liquid bridge interfaces

2002 ◽  
Vol 29 (4) ◽  
pp. 625-628 ◽  
Author(s):  
I.E. Parra ◽  
J.M. Perales ◽  
J. Meseguer
Keyword(s):  
Liquid Bridge ◽  
Marangoni Convection ◽  
The Stability

Capillary surfaces: stability from families of equilibria with application to the liquid bridge

1995 ◽  
Vol 449 (1937) ◽  
pp. 411-439 ◽  
Keyword(s):  
Equilibrium State ◽  
Liquid Bridge ◽  
Equilibrium Shape ◽  
Bond Number ◽  
Contact Lines ◽  
Capillary Surfaces ◽  
Diagram Method ◽  
Theory Application ◽  
The Stability ◽  
Bridge Length

A method for determining the stability of general static capillary surfaces is illustrated by application to the liquid bridge. Axisymmetric bridges with fixed contact lines under gravity are parametrized by three quantities: bridge length L , bridge volume V , and Bond number B . The method delivers: (i) stability envelopes in the { L, V, B } parameter space for constant-pressure and constant-volume disturbances (generating new and recovering classical results), (ii) the number of unstable modes for any equilibrium (state of instability) once the stability of one equilibrium state is known (e. g. that of the sphere) based on (iii) a demonstration that all known families of equilibria are connected. The method uses ‘preferred’ bifurcation diagrams, a plot of volume V against pressure p . The state of instability of an equilibrium shape relative to its neighbours is immediate from this plot. In addition, an invariant wavenumber classification is introduced and used to label the numerous families of liquid bridge equilibria. The preferred diagram method, which is based on properties of the Jacobi equation, gives stronger results than classical bifurcation theory. Application to other capillary surfaces, including drops and non-axisymmetric shapes, is discussed.

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