Geoscience Reference
In-Depth Information
Fig. 1.9  Model predicted aerosol size spectrum
dR
W
rdz
W
*
dt
=
=
.
(1.35)
The large eddy circulation speed W is expressed in terms of f and z as (Eq. 1.6)
Wwfz
=
.
*
Substituting for f from Eq. (1.8)
2
z zw z
2
Wwz
=
ln
=
ln .
z
*
*
π
π
Substituting for W in Eq. (1.35), the incremental eddy growth time d t is given as
follows:
rdz
wfz
rdz
*
*
dt
=
=
.
2
π
*
wz
ln
z
*
z
The time Γ taken for large eddy growth from surface to normalized height z is ob-
tained as follows:
r
w
π
2
dz
z
*
(1.36)
Γ=
dt
=
.
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