Geoscience Reference
In-Depth Information
ε
ijk
Alternatingtensor
ν
Molecular viscosity of cold seawater (approximately 1
.
8
×
10
−
6
m
2
s
−
1
)
ν
T
Molecular thermal diffusivity of seawater (approximately
1
10
−
7
m
2
s
−
1
)
.
4
×
TKE
Turbulentkineticenergy
P
S
ProductionofTKEbyshearing
P
b
ProductionofTKEbybuoyancyforces
D
DivergenceofverticalfluxofTKEplus
w
,
p
covariance
ε
TKEdissipationrate
g
ρ
w
b
=
w
ρ
Buoyancyflux
λ
Scale oftheenergy-containingeddies(mixinglength)
η
Kolmogorovlengthscale
υ
Kolmogorovvelocityscale
s
−
1
ω
Frequency
(
)
radm
−
1
k
Angularwavenumber
(
)
S
u
,
v
,
w
Variance (energy) spectral density for respective velocity
components
∼
α
ε
KolmogorovconstantforTKEdissipation(
0.5)
∼
α
Θ
Kolmogorovconstantforthermaldissipation(
0.8)
k
max
Wavenumberatthemaximuminthearea-preserving
w
spec-
trum
c
λ
Proportionalityconstantin therelation
λ
=
c
λ
/
k
max
(0.85)
φ
kS
w
(
k
)
γ
∗
Nondimensionalwavenumberintheinertialsubrange(typi-
cally2.5)
c
γ
Proportionality constant relating dimensionless spectrum to
dimensionless wave number (
∼
0.5) in the
−
2
/
3 log-log
sloperegion
