A numerical study of capillary stability in a circular cylindrical container with a concave spheroidal bottom
Abstract
The paper describes a theoretical investigation of the stability under gravitational and surface forces of a liquid in a circular cylindrical container with a concave spheroidal bottom for the case in which the volume of the liquid is sufficiently small so that the bottom is not covered completely. The gravitational field is assumed to be directed along the symmetry axis of the container, and for a specific container shape the critical Bond number is calculated as a function of liquid volume for contact angles of gamma = 0, 1, 2, and 4 deg. For gamma = 0 deg, some critical equilibrium configurations and corresponding perturbation modes are presented.
 Publication:

Computer Methods in Applied Mechanics and Engineering
 Pub Date:
 December 1978
 DOI:
 10.1016/00457825(78)901056
 Bibcode:
 1978CMAME..16..327C
 Keywords:

 Capillary Flow;
 Circular Cylinders;
 Concavity;
 Liquid Filled Shells;
 Numerical Analysis;
 Angular Distribution;
 Axisymmetric Flow;
 Differential Equations;
 Liquid Flow;
 LiquidVapor Equilibrium;
 Spheroids;
 Fluid Mechanics and Heat Transfer