TY - JOUR

T1 - Calculation of bridge shape and velocity field in a gap between inclined cylinders

AU - Geshev, Pavel I.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Boundary element

KW - Contact angle

KW - Green function

KW - Laplace equation

KW - Surface tension

UR - http://www.scopus.com/inward/record.url?scp=85051650465&partnerID=8YFLogxK

U2 - 10.1615/InterfacPhenomHeatTransfer.2018025263

DO - 10.1615/InterfacPhenomHeatTransfer.2018025263

M3 - Article

AN - SCOPUS:85051650465

VL - 5

SP - 273

EP - 286

JO - Interfacial Phenomena and Heat Transfer

JF - Interfacial Phenomena and Heat Transfer

SN - 2169-2785

IS - 4

ER -