The determination of the equilibrium form of a liquid free surface under the influence of gravity and surface tension
Abstract
The principle of the minimum of potential energy is used as a basis for the development of the fundamental equations of capillary hydrostatics. The equations are solved numerically with the aid of a difference procedure. Analytical solutions are presented for the special case involving zero gravity. The difference procedure is employed for the numerical calculation of the free surface of a liquid which is contained in an axisymmetrical tank. The container is exposed to space conditions involving decreased gravity and enhanced capillary effects.
 Publication:

Zeitschrift fur Flugwissenschaften und Weltraumforschung
 Pub Date:
 April 1981
 Bibcode:
 1981ZFlWe...5...84S
 Keywords:

 Fuel Tanks;
 Gravitational Effects;
 Interfacial Tension;
 Liquid Surfaces;
 Propellant Tanks;
 Weightlessness;
 Capillary Flow;
 Equilibrium Flow;
 Finite Difference Theory;
 Hydrostatics;
 Potential Theory;
 Rotating Fluids;
 Fluid Mechanics and Heat Transfer