Publication Date:
2023-08-09
Description:
We investigate the linear response to longitudinal and latitudinal libration of a rapidly rotating fluid-filled sphere. Asymptotic methods are used to explore the structure of resonant modes in both cases, provided that the nondimensional libration frequency is in the range 0〈ω〈2. High-resolution numerics are then used to map out this entire frequency range, picking out both the resonant peaks as well as the non-resonant troughs in between. The kinetic energy is O(1) at the peaks, and O(E1/2) at the troughs. As the Ekman number is reduced, down to E=1e-10 for longitudinal libration and E=1e-9 for latitudinal libration, the frequency response also exhibits an increasingly fractal structure, with more and more peaks and troughs emerging. The spacing between peaks is seen to follow an self-similarity factor. However, detailed examinations of some of the more prominent troughs shows that their widths follow anE〈sup〉~0.23〈/sup〉 self-similarity factor.
Language:
English
Type:
info:eu-repo/semantics/conferenceObject
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