Geology Reference
In-Depth Information
When R n > 0 (i.e., daytime),
G
¼
0
1R n
ð 7 : 10 Þ
:
and when R n < 0 (i.e., nighttime),
G
¼
0
5R n
ð 7 : 11 Þ
:
With a daily time step,
0
408
D ð
R n
G
Þþc
T hr þ 273 u 2 ð
900
e 0
ð
T hr Þ
e a Þ
:
ET 0 ¼
ð 7 : 12 Þ
D þ cð
1
þ
0
:
34u 2 Þ
where ET 0 is the reference evapotranspiration (mm day 1 ),
Δ
the saturation slope
C 1 ), R n the net radiation at the
vapor pressure curve at daily average T hr (kPa
°
grass surface (MJm 2
day 1 ), G the soil heat
flux density (MJ m 1
day 1 ),
ʳ
C 1 ), T hr the mean daily air temperature (
the psychrometric constant (kPa
C), U 2
the average daily wind speed (m s 1 ), e 0 (T hr ) the saturation vapor pressure at T hr
(kPa), and e a the average daily actual vapor pressure (kPa).
The psychrometric constant,
°
°
ʳ
, can be calculated using ( 7.13 ):
10 3 P
c ¼
0
665
ð 7 : 13 Þ
:
C 1 ]; and P atmospheric pressure [kPa].
The actual vapor pressure (e a ) is calculated by
where
ʳ
is the psychometric constant [kPa
°
RH hr
100
e 0
e a ¼
ð
T hr Þ
ð 7 : 14 Þ
where RH hr is the average hourly relative humidity (%).
The saturation vapor pressure at T hr , e 0 (T hr ), can be calculated from the fol-
lowing equation:
27T hr
T hr þ
17
:
e 0
ð
T hr Þ¼
0
6108 exp
ð 7 : 15 Þ
:
237
3
:
where e 0 (T hr )is the saturation vapor pressure at T hr (kPa), T hr the mean hourly air
temperature (
C 1 )
°
Δ
°
C), and
the slope of the saturation vapor pressure curve (kPa
at mean air temperature (T hr )[ 20 , 27 ] calculated by
h
i
27T hr
T þ 237 : 3
17
:
4098 0
6108 exp
:
D ¼
ð 7 : 16 Þ
2
ð
T þ
237
Þ
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