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Rossby radius of deformation : ウィキペディア英語版
Rossby radius of deformation

In atmospheric dynamics and physical oceanography, the Rossby radius of deformation is the length scale at which rotational effects become as important as buoyancy or gravity wave effects in the evolution of the flow about some disturbance.〔Gill, A. E., 1982: Atmosphere-Ocean Dynamics, Academic Press, Orlando, 662 pp.〕
For a barotropic ocean:
L_R \equiv \frac, where \,g is the gravitational acceleration, \,D is the water depth, and \,f is the Coriolis parameter.〔Cushman-Roisin, B. & Beckers, J.M., 2011: Introduction to Geophysical Fluid Dynamics, Academic Press, Waltman, p. 275〕
For ''f'' = 1×10−4 s−1 appropriate to 45° latitude, and ''D'' = 4 km, ''LR'' ≈ 2000 km; and for ''D'' = 40 m, ''LR'' ≈ 200 km.
The ''n''th baroclinic Rossby radius is:
: L_ \equiv \frac, where \,N is the Brunt–Väisälä frequency, \,H is the scale height, and ''n'' = 1, 2, ....
In Earth's atmosphere, the ratio ''N''/''f''0 is typically of order 100, so the Rossby radius is about 100 times the vertical scale height, ''H''. For a vertical scale associated with the height of the tropopause, ''L''''R'', 1 ≈ 1000 km, which is the predominant scale seen on weather charts for cyclones and anticyclones. This is commonly called the synoptic scale. In the ocean, the Rossby radius governs the typical size of ocean eddies. In the high latitude regions of the world ocean, typical Rossby radii for the first baroclinic mode are 5-10 km. 〔 Nurser, A. J. G., & Bacon, S., 2014, The Rossby radius in the Arctic Ocean, Ocean Sci., 10, 967-975, doi: 10.5194/os-10-967-2014〕
The associated dimensionless parameter is the Rossby number. Both are named in honor of Carl-Gustav Rossby.
==References==


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