3.17 Scaling
63
where T i 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 << T i and c >> U o , the
governing momentum equation reduces to:
∂u
∂t
= −
1
ρ o
∂ 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.
63
where T i 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 << T i and c >> U o , the
governing momentum equation reduces to:
∂u
∂t
= −
1
ρ o
∂ 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.