Calculation of bridge shape and velocity field in a gap between inclined cylinders

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A model of a liquid bridge that appears in a gap between two cylinders, inclined to the horizon, is developed. The shapes of the free surface of the bridges are calculated by the hydrostatic equations. The forces acting on the cylinders are determined. The velocity field in the current bridge flow is calculated by the method of boundary elements from the Navier–Stokes equation reduced to the Laplace equation. The volumetric flow rates of the liquid in the inclined bridge are calculated. For liquid flows in narrow gaps, an approximate model is constructed and the results are compared with the calculations obtained by the boundary element method.

Original languageEnglish
Pages (from-to)273-286
Number of pages14
JournalInterfacial Phenomena and Heat Transfer
Issue number4
Publication statusPublished - 1 Jan 2017


  • Boundary element
  • Contact angle
  • Green function
  • Laplace equation
  • Surface tension


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