Effect Of Rotation On The Equilibrium Shapes And Stability Of Liquid Bridges In An Axial Gravity Field
- Paper number
IAC-07-A2.2.06
- Author
Mrs. Beatriz Jilete, Aeronautical Engineering School of Madrid (Spain) (Polytechnical University of Madrid), Spain
- Coauthor
Prof. Laverón-Simavilla Ana, Spain
- Coauthor
Prof. Lapuerta Mª Victoria, Spain
- Year
2007
- Abstract
A cylindrical liquid bridge supported between two circular-shaped disks in isorotation is considered. The effect of an axial gravity field on the stability of the liquid bridge is investigated. In the absence of gravity, two types of instability, namely, amphora mode and C-mode, depending on the slenderness, can appear [1]. A numerical continuation method capable of finding equilibrium shapes is used to calculate a series of equilibrium shapes supported by disks rotating at an increasing gravity field. The stable or unstable character of each of the shapes is calculated to determine the position of the stability limit. The developed algorithm is based on a continuation method that is capable of overpassing bifurcation points and turning points (which appear for the C-mode and the amphora mode, respectively). The stability limits calculated are compared with the analytical results of Refs. [1] and [2] recovering the same behaviour. The numerical method is used to find stable and unstable shapes for different values of the Bond number and to compare the evolution of equilibrium shapes for different bifurcation curves.. [1] J. M. Vega and J. M. Perales, “Almost cylindrical isorotating liquid bridges for small Bond numbers”, in ESA SP-191 (European Space Agency, Paris, 1983), p. 247. [2] L. A. Slobozhanin and J. I. D. Alexander, “Stability of an isorotating liquid bridges in an axial gravity field”, Phys. Fluids, vol. 9, pp. 1880-1892 (1997).
- Abstract document