Theory of water and charged liquid bridges

The phenomenon of liquid bridge formation due to an applied electric field is investigated. A solution of a charged catenary is presented, which allows one to determine the static and dynamical stability conditions where charged liquid bridges are possible. The creeping height, the bridge radius and...

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Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 86; no. 2 Pt 2; p. 026302
Main Author Morawetz, K
Format Journal Article
LanguageEnglish
Published United States 01.08.2012
Subjects
Electricity
Electrochemistry - methods
Hydrodynamics
Ions
Microfluidics
Models, Statistical
Physics - methods
Surface Tension
Water
Water Movements
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Summary:The phenomenon of liquid bridge formation due to an applied electric field is investigated. A solution of a charged catenary is presented, which allows one to determine the static and dynamical stability conditions where charged liquid bridges are possible. The creeping height, the bridge radius and length, as well as the shape of the bridge are calculated showing an asymmetric profile, in agreement with observations. The flow profile is calculated from the Navier-Stokes equation leading to a mean velocity, which combines charge transport with neutral mass flow and which describes recent experiments on water bridges.
ISSN:1550-2376
DOI:10.1103/PhysRevE.86.026302