Almost cylindrical isorotating liquid bridges for small bond numbers
Abstract
Almost cylindrical bifurcating stationary shapes, with a cylindrical volume, are calculated for AAc 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;
 GasLiquid Interactions;
 Rotating Bodies;
 Bifurcation (Biology);
 Gravitational Effects;
 Reduced Gravity;
 Space Commercialization;
 Fluid Mechanics and Heat Transfer