Numerical study of equilibrium capillary surfaces under low gravitational conditions
Abstract
The shape of the equilibrium capillary surface of a liquid in a vessel of rotational symmetry is investigated numerically by transforming the governing equation (YoungLaplaceGaussequation) into a system of four first order differential equations. In addition a differential equation of first order concerning the liquid volume is taken into consideration. The problem under study is solved as an initial value problem. Essential for the numerical procedure is the horizontal section method which works for all tank geometries with monotone continuous curvature, i.e. the technically important cylindrical, conical and spheroidal tank configurations.
 Publication:

Ingenieur Archiv
 Pub Date:
 1990
 Bibcode:
 1990IngAr..60..176S
 Keywords:

 Axisymmetric Bodies;
 Capillary Tubes;
 Liquid Filled Shells;
 Reduced Gravity;
 Conical Bodies;
 Cylindrical Tanks;
 Differential Equations;
 Interfaces;
 Spheroids;
 Surface Properties;
 Tank Geometry;
 Fluid Mechanics and Heat Transfer