.Ocean Modelling for Beginners Phần 5 ppt

3.17 Scaling 63

where Ti is the inertial period, which is the temporal Rossby number. Consequently,

we can neglect the Coriolis force for waves of a period much shorter compared with

the inertial period. If we now deal with a wave of T << Ti and c >> Uo, the

governing momentum equation reduces to:

∂u

∂t = − 1

ρo

∂ P

∂x

(3.75)

It is obvious that scaling considerations can lead to substantail simplificatio of the

dynamical equations governing a certain process. It is also fascinating that the nature

of the Navier–Stokes equations varies in dependence on the scales of a dynamical

process.