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The Preparation of Electrohydrodynamic Bridges from Polar Dielectric Liquids
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Maximal liquid bridges between horizontal cylinders.

Himantha Cooray1, Herbert E Huppert2, Jerome A Neufeld3

  • 1Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics , University of Cambridge, Centre for Mathematical Sciences , Wilberforce Road, Cambridge CB3 0WA, UK.

Proceedings. Mathematical, Physical, and Engineering Sciences
|September 13, 2016
PubMed
Summary
This summary is machine-generated.

Researchers analyzed two-dimensional liquid bridges trapped between cylinders. Optimal trapping capacity, or liquid bridge cross-sectional area, is achieved when cylinder separation is about twice the capillary length for small cylinders.

Keywords:
Laplace–Young equationfluid staticsliquid bridgesliquid interfaces

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Area of Science:

  • Fluid mechanics
  • Surface physics
  • Capillary phenomena

Background:

  • Understanding liquid bridges is crucial in various scientific and industrial applications.
  • Forces like surface tension and hydrostatic pressure play a key role in stabilizing liquid bridges.
  • The geometry of confinement significantly influences liquid bridge behavior.

Purpose of the Study:

  • To analytically determine the shape of two-dimensional liquid bridges between identical horizontal cylinders.
  • To identify parameters that maximize the trapping capacity (cross-sectional area) of these liquid bridges.
  • To establish simplified relationships for optimal trapping under specific conditions.

Main Methods:

  • Analytical solution of the nonlinear Laplace-Young equation to model liquid bridge shape.
  • Determination of parameters maximizing the cross-sectional area.
  • Derivation of approximate solutions using the linearized Laplace-Young equation.

Main Results:

  • Optimal trapping capacity occurs when the center-to-center cylinder distance is approximately twice the capillary length for small cylinder radii.
  • Maximum trapping capacity scales linearly with cylinder separation for separations small compared to the capillary length.
  • Meniscus slope angle is also linearly dependent on separation in this regime.

Conclusions:

  • Simple approximate relationships govern liquid bridge trapping capacity for small cylinders relative to capillary length.
  • Analytical solutions confirm the derived relationships for maximizing trapping capacity.
  • The study provides insights into optimizing liquid retention between cylindrical surfaces.