Campbell Scientific VisualWeather Software User Manual

Page 65

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Appendix A. Evapotranspiration, Vapor Pressure Deficit, and Crop Water Needs

Latent heat of vaporization of water

λ=2.45

MJ/kg

Atmospheric pressure

P

kPa

Psychrometric constant

γ

kPa/

o

C

Saturation vapor pressure at T

eo(T)

kPa

Actual vapor pressure

ea

kPa

Vapor pressure deficit of the air at T

eo(T)-ea

kPa

Solar constant

GSc= 0.082

MJ/m

2

/min

Constant used in seasonal correction

b

radians

sin

(b)

none

cos(b)

none

sin(2b)

none

Seasonal correction

Sc

hour

Inverse relative sun-earth distance

dr

meters

Solar declination

δ

radians

Solar time angle at the beginning of period

ω

1

radians

sin(

ω1)

Solar time angle at the ending of period

ω

2

radians

sin(

ω2)

Solar time angle at midpoint of period

ω

radians

Length of the step (applies to hourly step only)

t

1

= 1

hour

Extraterrestrial radiation

Ra

MJ/m

2

/hour

Clear sky radiation

R

SO

MJ/m

2

/hour

Ratio of radiation

Rs/R

SO

no units

Ratio of radiation with total cloud cover

Rs/R

SO

= 0.3

no units

Ratio of radiation at nighttime in humid, subhumid climates

Rs/R

SO

= 0.4 to 0.6

no units

Ratio of radiation at nighttime in arid, semi-arid climates

Rs/R

SO

= 0.7 to 0.8

no units

Constant used in calculating Ra

a

s

= 0.75

Constant used in calculating Ra,

b

s

*Z

= 2 x 10

-5

*Z

(Z = elevation in meters)

Short wave, high energy radiation

R

ns

MJ/m

2

/hour

A-11

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