The branching of equilibrium states of an isolated rotating liquid mass
Branching of solutions of the nonlinear problem of equilibrium of a rotating free mass of liquid possessing surface tension is investigated (expediency of such investigation was pointed out in /1,2/). It is shown that a two-parameter set of nonaxisymmetric states passes through the critical (in the...
Saved in:
| Published in | Journal of applied mathematics and mechanics Vol. 46; no. 3; pp. 321 - 326 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
1982
|
| Online Access | Get full text |
Cover
Loading…
| Summary: | Branching of solutions of the nonlinear problem of equilibrium of a rotating free mass of liquid possessing surface tension is investigated (expediency of such investigation was pointed out in /1,2/). It is shown that a two-parameter set of nonaxisymmetric states passes through the critical (in the sense of stability) axisymmetric equilibrium state. Form of the nonaxisymmetric equilibrium figures is analyzed, and properties of branching determined. The latter are used for assessing the stability of these figures. |
|---|---|
| ISSN: | 0021-8928 0021-8928 |
| DOI: | 10.1016/0021-8928(82)90106-X |