Research Article

Mathematical Analysis of the Effect of Rotor Geometry on Cup Anemometer Response

Table 2

Results of the calibrations performed on the Climatronics 100075 and Ornytion 107A anemometers from [21]. The calibration constants, , , and , are indicated together with the simplified anemometer factor, , and some geometric characteristics of each rotor tested (cup radius, , cup center rotation radius, , and the ratio between them, ). The coefficients of the linear fittings to the calibration constants, , , , and , are also included in the table; see expressions (4) and (5) in the text.

Rotor
 [mm]

 [mm]


 [m pulse−1]

 [m s−1]

 [m rev−1]

 [rev−1]

 [m rev−1]

 [s−1]

 [m s−1]

Climatronics 100075

20/4040400.50000.03100.25930.92953.7031.16−3.107 10−14.8456.327 10−2
20/5040500.40000.04200.30101.25924.01
20/6040600.66670.05180.35621.55264.12

25/4050400.62500.02930.28670.87773.4929.90−3.125 10−14.2795.717 10−2
25/6050600.41670.04950.25671.48503.94
25/8050800.31250.06970.33872.09094.16
25/100501000.25000.08900.54472.66924.25

30/4060400.75000.02790.19000.83613.3329.34−3.243 10−13.9182.034 10−2
30/6060600.50000.04810.15591.44253.83
30/8060800.37500.06820.21672.04644.07
30/100601000.30000.08660.37312.59914.14
30/120601200.25000.10640.47313.19224.23

35/6070600.58330.04610.16421.38333.6730.24−4.157 10−12.1571.579 10−2
35/8070800.43750.06740.17542.02104.02
35/100701000.35000.08730.20032.62004.17
35/120701200.29170.10670.29973.19974.24

40/6080600.66670.04540.13761.36333.6229.80−4.194 10−12.0022.061 10−2
40/8080800.50000.06530.18641.96013.90
40/100801000.40000.08590.22212.57814.10
40/120801200.33330.10520.25393.15574.19
40/140801400.28570.12480.30403.74554.26

Ornytion 107A
20/4040400.50000.48090.27390.96173.8330.19−2.406 10−113.24−2.675 10−1
20/5040500.40000.63960.37071.27924.07
20/6040600.66670.78270.53871.56544.15

25/4050400.62500.44770.14790.89543.5630.02−2.955 10−18.317−1.682 10−1
25/6050600.41670.75840.35131.51684.02
25/8050800.31251.05710.50582.11414.21
25/100501000.25001.34890.65092.69784.29

30/4060400.75000.43130.07020.86253.4329.43−3.003 10−16.252−1.867 10−1
30/6060600.50000.73630.18241.47273.91
30/8060800.37501.03970.29572.07954.14
30/100601000.30001.31430.46462.62854.18
30/120601200.25001.61390.55433.22784.28

35/6070600.58330.70740.18481.41483.7529.74−3.497 10−12.0866.902 10−2
35/8070800.43751.02750.27962.05494.09
35/100701000.35001.31730.21822.63474.19
35/120701200.29171.60220.34443.20444.25

40/6080600.66670.67940.15001.35883.6030.04−4.254 10−11.9103.058 10−2
40/8080800.50000.99360.19021.98733.95
40/100801000.40001.30010.21742.60034.14
40/120801200.33331.59060.23593.18124.22
40/140801400.28571.88300.31913.76594.28