Chapter 2: SEA SURFACE MICROLAYER
1/ 4
1/ 2
1
1 /2
0 0
0
/
1
/
1
/
cr
cr
K u A
Sc
Rf Rf
Ke Ke
P
/
(2.41)
where
0 /
T q u
, Pr
/ k
Q , and
/
Sc Q P . The dimensionless coefficients
0
A and / 0 are expressed through the parameter of lognormal distribution
(2.29) as follows
1
2
0
8 /3 exp
/8
A
S
V
,
(2.42)
1/ 2
2
1/ 2
0
4
/3 exp
/16 r
a
S
V
/
.
(2.43)
The calculation of 0
A with V determined from the Garbe et al. (2002)
laboratory experiment is presented in Table 2-1.
For low wind speed conditions, 0
Rf
and
0
Ke o ; equations (2.39)
-(2.41) have the following asymptotes:
1/ 4
1/ 4
2
0
0
0
0
cr
cr
T
Rf
Rf
u
u
u
Rf
gq
D
Q
§
·
§
·
' | /
/
¨
¸
¨
¸
©
¹
©
¹
,
(2.44)
1/ 4
1/ 4
1/ 2
1/ 2
0
0
0
0
0
0
Pr
Pr
cr
cr
T
Rf
q
Rf
T
q
Rf
u
g q
D Q
§
·
§
·
' | /
/
¨
¸
¨
¸
©
¹
©
¹
,
(2.45)
1/ 4
1/ 4
1
1 /2
1
1 /2
0
0
0 0
0 0
T
cr
cr
Rf
g q
K
A
Sc u
A
Sc
Rf
Rf
P
D Q
§
·
§
·
| /
/
¨
¸
¨
¸
©
¹
©
¹
.
(2.46)
A low wind speed asymptote for the velocity difference across the aqueous
viscous sublayer at the air-sea interface similar to (2.44) could not be found
in the literature. At the same time, formula (2.45) is similar to that of
Katsaros et al. (1977),
1/ 4
3/ 4
3/ 4
0
0
2
T
T
T a
q
g
Q
D N
§
·
'
¨
¸
©
¹
,
(2.47)
97
o f