Almost cylindrical isorotating liquid bridges for small bond numbers
Abstract
Almost cylindrical bifurcating stationary shapes, with a cylindrical volume, are calculated for A-Ac is much less than 1, where A is the slenderness of the bridge, and Ac is a critical value which depends on the rotational Weber number. It is seen that the bifurcation is always subcritical, i.e., the bifurcating noncylindrical shapes appear for A Ac. The effect of a small axial gravity, i.e., a small gravitational Bond number (B) is also considered. It is seen that Ac(0,A) - Ac(B,A) is on the order of B to the power 2/3 for amphora modes, and of the order of Bsq for nonaxisymmetric modes.
- Publication:
-
Mater. Sci. under Microgravity
- Pub Date:
- June 1983
- Bibcode:
- 1983msum.rept..247V
- Keywords:
-
- Dimensionless Numbers;
- Equilibrium Equations;
- Gas-Liquid Interactions;
- Rotating Bodies;
- Bifurcation (Biology);
- Gravitational Effects;
- Reduced Gravity;
- Space Commercialization;
- Fluid Mechanics and Heat Transfer