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3 effects of crosswind on the speed of sound, Effects of crosswind on the speed of sound – Campbell Scientific CSAT3 3-D Sonic Anemometer User Manual

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CSAT3 Three Dimensional Sonic Anemometer

After power-up or loss of signal, the CSAT3 enters a mode where it tests the

forward and return paths for each of the pairs of ultrasonic transducers. This is

called the “acquire” mode and takes about 10 seconds before normal output is

available from the anemometer. This delay is caused in part because the

anemometer has no recent knowledge of the responses of the transducer pairs

and in particular no past history of the wind speed and speed of sound. During

this acquire mode, it has to search across quite wide windows in time to find

the true arrival time of each received signal.

Once it has acquired the signal, it uses a tracking algorithm to adjust the start

and end times of its search window based both on the Execution Parameter (see

Section 10.3) and the last measured ultrasonic time of flight. The basis of this

adjustment is that the dynamics of air movement prevent the time of flight

changing by more than a certain amount in a given time. The result of using

this algorithm is that the width of this window in time can be kept to a

minimum and measurements can be made at a higher frequency for an overall

lower consumption of power when compared to using wider fixed windows.

Because the Execution Parameter is used as an important input to the tracking

algorithm it must be set to match the frequency at which the anemometer is

triggered. The setting of this parameter and matching it to the trigger

frequency are discussed in Section 8.

7.3 Effects of Crosswind on the Speed of Sound

The speed of sound is found by combining the out and back time-of-flight

measurements (see Eq. 5 in Appendix C). The parallel component of the wind

along the sonic axis does not affect the measured speed of sound, however, the

perpendicular component does. The effects of the perpendicular component of

wind can be accounted for online, using the measured components of wind and

simple trigonometry, or off-line using methods described by Schotanus et al.,

1983 and Liu et al., 2001. The CSAT3 has always corrected for the effects of

crosswind on the speed of sound, and as of the printing of this manual, the

CSAT3 is the only commercially available sonic anemometer that corrects the

speed of sound, and ultimately the sonic temperature, for the effects of wind

blowing normal to the sonic measurement path.

The equations derived by Schotanus et al. (1983) apply to sonic anemometers

that make speed of sound measurements from a single pair of transducers. Liu

et al. (2001) extends these equations to sonic anemometers that measure the

speed of sound on all three axes and then averages the results to a single speed

of sound as with the CSAT3. Liu et al. (2001) assume that the geometry of

each individual three-dimensional anemometer is ideal when they derive the

factors given in their Table 1.

Liu et al. (2001) recommends that CSAT3 sonic temperature

variances and sonic sensible heat flux be corrected for the effects

of cross wind. However, CSAT3 users need not make these

corrections to their fluxes because the CSAT3 performs an online

correction. Correcting CSAT3 data off-line for cross wind effects

will cause errors in the measured fluxes.

NOTE

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