Theory of water and charged liquid bridges
arXiv:1107.0459 · doi:10.1103/PhysRevE.86.026302
Abstract
The phenomena of liquid bridge formation due to an applied electric field is investigated. A new solution for the charged catenary is presented which allows 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 is 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.
10 pages 12 figures, misprints corrected, assumptions more transparent
References in corpus (1)
Cited by in corpus (5)
- Experimental investigation of the stability of the floating water bridge
- Armstrong Liquid Bridge: Formation, Evolution and Breakup
- Reversed Currents in Charged Liquid Bridges
- Evidence for spontaneous arrangement of two-way flow in water bridge via particle image velocimetry
- Dynamics of a vertical water bridge