Appendix B. Sensible Heat Flux without a FW05
B-5
Multiply Equation (B-28) by
ρ
C
p
and the second term on the right hand side by
L
L
v
v
. Where
L
v
is the latent heat of vaporization (
L
v
= 2.45
×
10
6
J kg
-1
@ 20
°
C).
H
H
T
T
C
R T
P
LE
L
s
s
p
d
v
=
+
ρ
0 51
2
.
(B-29)
Solve Equation (B-29) for latent heat flux.
LE
PL
R T
w T
w T
T
T
v
d
s
s
=
′ ′ − ′ ′
⎛
⎝
⎜
⎞
⎠
⎟
⎛
⎝
⎜⎜
⎞
⎠
⎟⎟
0 51
2
.
(B-30)
Assume that the system is not using a FW05 to measure temperature
fluctuations. Find the calculated sensible heat flux (
H
c
) by solving (B-29) for
H
.
s
v
d
p
s
c
T
T
L
LE
P
T
R
C
H
H
H
⎥
⎥
⎦
⎤
⎢
⎢
⎣
⎡
−
=
=
2
51
.
0
ρ
(B-31)
The following references were used in the above derivation: Fleagle and
Businger (1980), Kaimal and Businger (1963), Kaimal and Gaynor (1991),
Mortensen (1994), Schotanus et al. (1983), and Wallace and Hobbs (1977).