Solution of the boundary value problem of determining the axisymmetric equilibrium surface of a liquid under weak gravity conditions
Abstract
The paper studies an algorithm for constructing the axisymmetric equilibrium surface of a liquid under weak gravity with allowance for surface tension. Existence of a solution is studied, and determination of the solution of the boundary value problem is reduced to solving transcendental equations, whose real solution is found in the form of power series. Numerical calculations for vessels with different geometric forms are presented.
 Publication:

Dynamics and stability of multivariable systems
 Pub Date:
 1974
 Bibcode:
 1974dsms.book..107K
 Keywords:

 Boundary Value Problems;
 Equilibrium Equations;
 Liquid Surfaces;
 Reduced Gravity;
 Algorithms;
 Interfacial Tension;
 Power Series;
 Transcendental Functions;
 Fluid Mechanics and Heat Transfer