Abstract
The linearized shallow water equations, when applied to a rotating annulus of homogeneous fluid with a free surface, and depth proportional to radius squared, have solutions expressible in elementary functions. The low frequency “second-class” part of the spectrum obeys an equation similar to Haurwitz's formula for Rossby waves on the earth. An approximate analysis shows that the second class oscillations correspond to inertia waves of low frequency in an annulus with a sloping rigid top surface. The frequency formula is verified by an experiment in which the waves are created by an oscillating paddle.
DOI: https://doi.org/10.3402/tellusa.v17i3.9149 | Journal eISSN: 3035-9554
Language: English
Page range: 296 - 301
Published on: Jan 1, 2012
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 2012 Norman A. Phillips, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.