Axisymmetric inertial oscillations of a fluid in a cylindrical cavity during spin-up from rest
作者:
K.D. Aldridge,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1977)
卷期:
Volume 8,
issue 1
页码: 279-301
ISSN:0309-1929
年代: 1977
DOI:10.1080/03091927708240384
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The dependence of inertial oscillation frequency on time since a cylindrical container began rotating from rest is established experimentally for several axially symmetric modes of oscillation. The oscillations were excited by including a sinusoidal perturbation in the rotation speed of the container which served to establish an exchange of fluid between the viscous boundary layers and the interior. The interior is set into oscillation by the boundary layer flow and the resulting axial pressure differences are used to establish the amplitude of the inertial oscillation. The best agreement between our experiments and the theoretical work by Lynn (1973) on the time dependence of inertial oscillation frequency occurs for the lowest frequency modes. From a limited study on amplitude of the inertial oscillations it appears that the growth rate of these disturbance is such thate−1of the ultimate amplitude is achieved after one and a hall spin-up times from the time that the container is switched on. No non-linear effects in perturbation amplitude for the dependence of inertial oscillation frequency on time were found for the amplitudes used in these experiments
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