T

For typical large-scale flows in the atmosphere, V~ 10 ms-1, L ~ 106m, and T~105 s, so V/T kV2/L ~ 10-4ms-2.That V/T k U2/L is no accident; the time scale on which motions change is intimately related to the time taken for the flow to traverse a distance L, viz, L/V. So in practice the acceleration terms du/dt and uVu are comparable in magnitude to one another and scale like V2/L. The ratio of these acceleration terms to the Coriolis term is known as the Rossby number3:

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