| Abstract: | Wave motions in a fluid cylinder rotating about the axis are investigated within the framework of the linear theory. The cylinder
is assumed to be fairly long. This makes it possible to restrict attention to the study of the plane oscillation pattern.
The fluid is assumed to be ideal and incompressible. The models in which the fluid particles are confined by gravitational
(body) or/and capillary forces (surface stress forces) are considered. A mode analysis is carried out and the dispersion relations
are constructed. Traveling and steady-state waves on the surface of the fluid cylinder are investigated; qualitative effects
("wave inertia") are established.
Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 128–133, May–June, 1998.
The work was carried out with financial support from the Russian Foundation for Basic Research (project No. 96-01-00221).
An erratum to this article is available at . |
