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5 calculation of net short-wave radiation, 6 calculation of net long-wave radiation, Calculation of net short-wave radiation – Campbell Scientific CNR4 Net Radiometer User Manual

Page 25: Calculation of net long-wave radiation

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CNR4 Net Radiometer

Albedo will always be smaller than 1. Checking this can be used as a tool for
quality assurance of your data. If you know the approximate albedo at your
site, the calculation of albedo can also serve as a tool for quality control of your
measured data at a specific site.

7.1.5 Calculation of Net Short-wave Radiation

The net short-wave solar radiation is equal to the incoming (downwelling)
short-wave radiation minus the reflected (upwelling) short-wave radiation.

Net Short-wave Radiation = (E upper Pyranometer)

– (E lower Pyranometer)

(7-4)

In the equation above, E is calculated according to Equation 7-1.

Net short-wave solar radiation will always be positive. This can be used as a
tool for quality assurance of your measured data.

7.1.6 Calculation of Net Long-wave Radiation

The net long-wave far infrared radiation is the part that contributes to heating
or cooling of the earth’s surface. In practice, usually the net long-wave far
infrared radiation will be negative.

Net Long-wave Radiation = (E upper Pyrgeometer)

– (E lower Pyrgeometer)

(7-5)

In the equation above, E is calculated according to Equation 7-2. According to
Equation 7-5 above, the terms that contain the sensor body temperature, T,
cancel each other. Therefore, if one is only interested in the net long-wave
radiation, instead of separate upper and lower components of the long-wave
radiation, the CNR4 temperature measurement is not required.

The E measured with the pyrgeometer actually represents the irradiance of the
sky (for upward-facing pyrgeometer) or the ground (for downward-facing
pyrgeometer). Assuming that these two, ground and sky, behave like perfect
blackbodies, theoretically, one can calculate an effective “sky temperature” and
an effective “ground temperature”.

4

/

1

8

10

67

.

5

r

Pyrgeomete

upper

E

e

Temperatur

Sky

=

(7-6)

4

/

1

8

10

67

.

5

⎥⎦

⎢⎣

=

r

Pyrgeomete

lower

E

e

Temperatur

Ground

(7-7)

As a rule of thumb, for ambient temperatures of about 20 degrees Celsius, one
can say that one degree of temperature difference between two objects results
in a 5 W/m

2

exchange of radiative energy (infinite objects):

1 degree of temperature difference = 5 W/m

2

(rule of thumb)

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