Some properties of capillary surfaces on elliptical domains
Abstract
It is shown that there will exist a critical contact angle for an elliptical cross section if the ratio b/a of the minor and major semiaxes is less than 0.6116. There is no solution of the capillary surface equations for contact angles less than the critical angle. A lower bound on gamm/sub crit/ is calculated for various values of b/a. These bounds appear to be close to the values of gamma/sub crit/ found by numerical solution of the capillary surface equations.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- September 1977
- Bibcode:
- 1977STIN...7830559A
- Keywords:
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- Elliptic Functions;
- Interfacial Tension;
- Liquid Surfaces;
- Angles (Geometry);
- Elliptical Cylinders;
- Liquid-Vapor Interfaces;
- Fluid Mechanics and Heat Transfer