Elementary Rossby waves
Open Access
- 1 August 1965
- journal article
- Published by Stockholm University Press in Tellus
- Vol. 17 (3) , 295-301
- https://doi.org/10.1111/j.2153-3490.1965.tb01421.x
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: 10.1111/j.2153-3490.1965.tb01421.xKeywords
This publication has 7 references indexed in Scilit:
- On the transient motion of a contained rotating fluidJournal of Fluid Mechanics, 1964
- An Analysis of Wind-Driven Ocean Circulation with a Limited Number of Fourier ComponentsJournal of the Atmospheric Sciences, 1963
- Energy Transfer in Rotating Fluids by Reflection of Inertial WavesPhysics of Fluids, 1963
- A NOTE ON CERTAIN INTERESTING AGEOSTROPHIC MOTIONS IN A ROTATING HEMISPHERICAL SHELLJournal of Meteorology, 1955
- Relation between variations in the intensity of the zonal circulation of the atmosphere and the displacements of the semi-permanent centers of actionJournal of Marine Research, 1939
- Physikalische HydrodynamikPublished by Springer Nature ,1933
- V. On the application of harmonic analysis to the dynamical theory of the tides.—Part II. On the general integration of Laplace’s dynamical equationsPhilosophical Transactions of the Royal Society A, 1898