
Appendix B. Equations
()
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
+
−
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
+
=
v
vd
d
X
X
TR
PM
1000
1
15.273
ρ
(B-5)
Dew Point from Molar Mixing Ratio
tmpd
tmpd
d
T
T
T
_
_
502.17
97.240
−
=
(B-6
2
)
()
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
+⋅
=
v
v
tmpd
Xf
PX
lnT
100061121.0
_
(B-7
2
)
295
109.5102.300072.1 PTPf
−−
×+×+= (B-8
2
)
Water Vapor Molar Mixing Ratio from Dew Point
1000
eP
e
X
v
−
=
(B-9)
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
+
⋅⋅=
d
d
T
T
EXPfe
97.240
502.17
61121.0
(B-10
2
)
Water Vapor Mass Density from Dew Point
()
)
()
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
++
=
d
d
v
T
T
EXP
TR
f
97.240
502.17
15.273
61121.0018.0
ρ
(B-11
2
)
Vapor Pressure from Molar Mixing Ratio and Water Vapor Density
v
v
X
PX
e
+
=
1000
(B-12)
()
v
v
M
TR
e
15.273
=
(B-13)
1
Leuning, R (2004) Measurements of Trace Gas Fluxes in the Atmosphere
Using Eddy Covariance: WPL Revisited. The Handbook of Micrometeorology,
29, 119-132. New York: Kluwer Academic Publishers. Eq. 6.23
2
Buck, A L (1981) New Equations for Computing Vapor Pressure and
Enhancement Factor. Journal of Applied Meteorology 20, 1527-1532. Eqs.
2a, 3a, and 6
B-2
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