Abstract
A study is made of the motion of a viscous incompressible liquid in a gap between a cylinder of finite length and a jacket that contains it. The motion is due to small torsional vibrations of the jacket, whereas the complete system rotates uniformly around the common symmetry axis. The equation is linearized under the assumption that the Rossby number is small. Three problems are considered: the one-dimensional problem of vibrational motion in the cylindrical gap, the self-similar problem for the flow in the end interdisk gaps, and the two-dimensional problem that describes the flow in the corner region. It is established that the superposition of the general rotation makes the damping properties of the liquid layers between the jacket and the ends of the cylinder much less good. The influence of boundary effects is clarified.
Similar content being viewed by others
Literature cited
H. P. Greenspan, Theory of Rotating Fluids, CUP, Cambridge (1968).
L. D. Landau and E. M. Lifshitz, Hydrodynamics [in Russian], Nauka, Moscow (1986), p. 121.
C. Jacobs, “Transient motions produced by disks oscillating torsionally about a state of rigid rotation,” Q. J. Mech. Appl. Math.,24, 221 (1971).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 26–31, May–June, 1991.
Rights and permissions
About this article
Cite this article
Lokshin, L.R., Smirnov, E.M. Influence of general rotation on the transfer of torsional vibrations through axisymmetric layers of viscous liquid. Fluid Dyn 26, 338–342 (1991). https://doi.org/10.1007/BF01059001
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01059001