Stability of an isorotating liquid bridge between equal disks under zero‐gravity conditions

The stability of the relative equilibrium of an isorotating axisymmetric liquid bridge between two equal‐radius coaxial disks under zero‐gravity conditions has been investigated in detail. The free surface is assumed to be pinned to the edges of the disks and in equilibrium and only perturbations compatible with this pinning are considered. In the plane of the dimensionless variables characterizing the liquid bridge length and the liquid bridge volume, the stability regions for a set of values of the Weber number have been calculated. The stability region structure and the nature of critical perturbations change when the Weber number, W, passes through the values W0 (2.05<W0<2.06) and W1 (2.44<W1<2.45). It has been found that, for W<W0, the stability region is connected, and the neutral stability may take place with respect to nonaxisymmetric perturbations as well as to axisymmetric ones. In the latter case, it has been established whether the critical axisymmetric perturbations are reflectively symmetric...

[1]  José Manuel Perales Perales,et al.  Stability of liquid bridges between equal disks in an axial gravity field , 1993 .

[2]  J. L. Swanson,et al.  Float zone processing in a weightless environment , 1976 .

[3]  D. Dyson,et al.  Stability of fluid interfaces of revolution between equal solid circular plates , 1971 .

[4]  P. Steen,et al.  Instability of rotund capillary bridges to general disturbances: Experiment and theory , 1986 .

[5]  J. Carruthers,et al.  The stabilities of floating liquid zones in simulated zero gravity , 1972 .

[6]  J. Gillis,et al.  The stability of a rotating viscous jet , 1962 .

[7]  M. M. Saffren,et al.  Drop dynamics in space , 1976 .

[8]  R. A. Brown,et al.  The shapes and stability of captive rotating drops , 1980, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[9]  J. Gillis,et al.  STABILITY OF A ROTATING LIQUID COLUMN , 1962 .

[10]  J. Carruthers,et al.  Studies of Floating Liquid Zones in Simulated Zero Gravity , 1972 .

[11]  R. Wadhwa,et al.  Low-Gravity Fluid Mechanics , 1987 .

[12]  I. Martínez,et al.  Minimum volume for a liquid bridge between equal disks , 1983 .

[13]  L. M. Hocking,et al.  The stability of a column of rotating liquid , 1959 .

[14]  José Manuel Perales Perales,et al.  Effects of Axial and Centrifugal Forces on the Stability of Liquid Bridges , 1992 .

[15]  L. Ungar,et al.  The dependence of the shape and stability of captive rotating drops on multiple parameters , 1982, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[16]  V. V. Rumyantsev,et al.  Dynamic stability of bodies containing fluid , 1968 .

[17]  P. Appell.  Figures d'équilibre d'une masse liquide homogène en rotation , 1921 .

[18]  Subrahmanyan Chandrasekhar,et al.  The stability of a rotating liquid drop , 1965, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[19]  V. V. Rumyantsev,et al.  Inversion of lagrange's theorem for a rigid body with a cavity containing a viscous liquid☆ , 1989 .

[20]  V. Vladimirov.  Instability of the equilibrium of fluids , 1989 .