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−α
, where
(
)
∝
(
)
7/3
- in other words, if
f
3
k
x
η
k
x
η
α =
Ko
Ko
7/3
where
K
p
is a universal constant. By
substituting this expression into equation [2.60], we
determine
f
2
k
x
y
−
(
)
=
K
p
k
x
η
Ko
(
)
f
3
k
x
η
Ko
()
in the inertial overlap zone II. The result is
(
)
E
pp
k
x
η
−
7/3
Ko
(
)
=
K
p
(
)
=
f
3
k
x
η
Ko
k
x
η
Ko
2
4
ρ
ν
Ko
[2.61]
()
E
pp
k
x
y
−
7/3
(
κ
−4/3
()
=
f
2
k
x
y
=
K
p
k
x
y
2
u
4
ρ
τ
Figure 2.17.
Decomposition of the pressure spectra
in light of the arguments given in [PER 86]
The Kolmogorov spectral distribution in the inertial part
expressed in equation [2.61] is reduced to
()
= ρ
2
K
p
4/3
k
x
−7/3
E
pp
k
x
ε
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