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/ = / (+), which indicates that these long equatorial Rossby waves move in the opposite direction (westward) of Kelvin waves (which move eastward) with speeds reduced by factors of 3, 5, 7, etc. To illustrate, suppose c = 2.8 m/s for the first baroclinic mode in the Pacific; then the Rossby wave speed would correspond to ~0.9 m/s, requiring a 6 ...
For a barotropic ocean, the Rossby radius is () /, where is the gravitational acceleration, is the water depth, and is the Coriolis parameter. [ 2 ] For f = 1×10 −4 s −1 appropriate to 45° latitude, g = 9.81 m/s 2 and D = 4 km, L R ≈ 2000 km; using the same latitude and gravity but changing D to 40 m; L R ≈ 200 km.
Equatorial waves are oceanic and atmospheric waves trapped close to the equator, meaning that they decay rapidly away from the equator, but can propagate in the longitudinal and vertical directions. [1] Wave trapping is the result of the Earth's rotation and its spherical shape which combine to cause the magnitude of the Coriolis force to ...
One can identify a terrestrial Rossby wave as its phase velocity, marked by its wave crest, always has a westward component. [1] [4] However, the collected set of Rossby waves may appear to move in either direction with what is known as its group velocity. In general, shorter waves have an eastward group velocity and long waves a westward group ...
The eastward speed of propagation of these waves can be derived for an inviscid slowly moving layer of fluid of uniform depth H. [2] Because the Coriolis parameter (f = 2Ω sin(θ) where Ω is the angular velocity of the earth, 7.2921 × 10 −5 rad/s, and θ is latitude) vanishes at 0 degrees latitude (equator), the “equatorial beta plane” approximation must be made.
500mb geopotential height averaged between October 9–21, 2010 illustrating Rossby wave pattern with the zonal wavenumber 4. DOE AMIP reanalysis data.. In meteorological applications, a zonal wavenumber or hemispheric wavenumber is the dimensionless number of wavelengths fitting within a full circle around the globe at a given latitude: [1]
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The Rossby parameter (or simply beta ) is a number used in geophysics and meteorology which arises due to the meridional variation of the Coriolis force caused by the spherical shape of the Earth. It is important in the generation of Rossby waves .