Registro de datos del Laboratorio de Agitacion del dia LUNES 21/05/2012 (11am a 1pm)

Turbina de 6 palas con 4 bafles

Caracteristicas del fluido

Nombre Aceite de soyaTemperatura de trabajo 21.6Densidad (kg(m3) 913Viscosidad (Pa.s) 0.0405

Potencia del motor (HP) 1/4

Rango de velocidad permisible (RPM) 20 - 2500

Torque máximo (pulg-onzas) 100.8 pulg-onzas

Fuente de Energía (V) 230 VAC; 50/60 Hz

Características del tanque (forma, material)

Diámetro del tanque (Dt) m 29.8 cm

Tipo de agitador (nombre) turbina, 6 palas

Diámetro del agitador (Da) m 7.6 cm

Altura del líquido (Hl) m 29.8 cm

Altura a la que se encuentra el agitador (Ha) m 7.6 cm

Número de placas deflectoras 4

Ancho de placas deflectoras J (m) 25.08mm

Ancho de Paletas L (m) 19 mm

Largo de Paletas W(m) 15.25 mm

RPM (N) Torque cb

20 0.725 0.7530 0.7535 0.7540 0.845 0.850 0.855 0.860 0.865 0.870 0.875 0.880 0.885 0.890 0.895 0.8

100 0.8105 0.8110 0.85

vidrio ,cilindrico y de bordes redondeados

115 0.9120 0.9125 0.9130 0.9135 0.9140 0.9145 0.9150 0.9155 0.9160 0.9165 0.9170 0.9175 0.9180 0.9185 0.9190 0.9195 0.9200 0.9205 0.9210 0.9215 0.95220 1225 1230 1235 1240 1245 1250 1255 1260 1265 1270 1275 1280 1285 1290 1.1295 1.1300 1.1305 1.1310 1.1315 1.15320 1.2325 1.2330 1.2335 1.35340 1.4345 1.5350 1.55

355 1.6360 1.7365 1.8370 1.9375 1.95380 2385 2.25390 2.25395 2.45400 2.45405 2.6410 2.7415 2.8420 3.15425 3.3430 3.4435 3.4440 3.6445 3.8450 3.9455 4.2460 4.3465 4.45470 4.75475 4.75480 4.95485 4.95490 4.95495 5500 5.2

Registro de datos del Laboratorio de Agitacion del dia LUNES 21/05/2012 (11am a 1pm)

D 0.076g 9.8

RPM(N) RPS(n) Nre TORQUE CB TcbxN HPcb Wcb en watts

20 0.333 43.403 0.7 14.00 1.388E-05 1.035E-0225 0.417 54.254 0.75 18.75 1.859E-05 1.387E-0230 0.500 65.105 0.75 22.50 2.231E-05 1.664E-0235 0.583 75.956 0.75 26.25 2.603E-05 1.941E-0240 0.667 86.806 0.8 32.00 3.173E-05 2.366E-0245 0.750 97.657 0.8 36.00 3.570E-05 2.662E-0250 0.833 108.508 0.8 40.00 3.967E-05 2.958E-0255 0.917 119.359 0.8 44.00 4.363E-05 3.254E-0260 1.000 130.210 0.8 48.00 4.760E-05 3.550E-0265 1.083 141.060 0.8 52.00 5.157E-05 3.845E-0270 1.167 151.911 0.8 56.00 5.553E-05 4.141E-0275 1.250 162.762 0.8 60.00 5.950E-05 4.437E-0280 1.333 173.613 0.8 64.00 6.347E-05 4.733E-0285 1.417 184.464 0.8 68.00 6.743E-05 5.029E-0290 1.500 195.314 0.8 72.00 7.140E-05 5.324E-0295 1.583 206.165 0.8 76.00 7.537E-05 5.620E-02

100 1.667 217.016 0.8 80.00 7.933E-05 5.916E-02105 1.750 227.867 0.8 84.00 8.330E-05 6.212E-02110 1.833 238.718 0.85 93.50 9.272E-05 6.914E-02

115 1.917 249.568 0.9 103.50 1.026E-04 7.654E-02120 2.000 260.419 0.9 108.00 1.071E-04 7.986E-02125 2.083 271.270 0.9 112.50 1.116E-04 8.319E-02130 2.167 282.121 0.9 117.00 1.160E-04 8.652E-02135 2.250 292.972 0.9 121.50 1.205E-04 8.985E-02140 2.333 303.822 0.9 126.00 1.250E-04 9.318E-02145 2.417 314.673 0.9 130.50 1.294E-04 9.650E-02150 2.500 325.524 0.9 135.00 1.339E-04 9.983E-02155 2.583 336.375 0.9 139.50 1.383E-04 1.032E-01160 2.667 347.226 0.9 144.00 1.428E-04 1.065E-01165 2.750 358.076 0.9 148.50 1.473E-04 1.098E-01170 2.833 368.927 0.9 153.00 1.517E-04 1.131E-01175 2.917 379.778 0.9 157.50 1.562E-04 1.165E-01180 3.000 390.629 0.9 162.00 1.607E-04 1.198E-01185 3.083 401.480 0.9 166.50 1.651E-04 1.231E-01190 3.167 412.330 0.9 171.00 1.696E-04 1.265E-01195 3.250 423.181 0.9 175.50 1.740E-04 1.298E-01200 3.333 434.032 0.9 180.00 1.785E-04 1.331E-01205 3.417 444.883 0.9 184.50 1.830E-04 1.364E-01210 3.500 455.734 0.9 189.00 1.874E-04 1.398E-01215 3.583 466.584 0.95 204.25 2.025E-04 1.510E-01220 3.667 477.435 1 220.00 2.182E-04 1.627E-01225 3.750 488.286 1 225.00 2.231E-04 1.664E-01230 3.833 499.137 1 230.00 2.281E-04 1.701E-01235 3.917 509.988 1 235.00 2.330E-04 1.738E-01240 4.000 520.838 1 240.00 2.380E-04 1.775E-01245 4.083 531.689 1 245.00 2.430E-04 1.812E-01250 4.167 542.540 1 250.00 2.479E-04 1.849E-01255 4.250 553.391 1 255.00 2.529E-04 1.886E-01260 4.333 564.242 1 260.00 2.578E-04 1.923E-01265 4.417 575.092 1 265.00 2.628E-04 1.960E-01270 4.500 585.943 1 270.00 2.678E-04 1.997E-01275 4.583 596.794 1 275.00 2.727E-04 2.034E-01280 4.667 607.645 1 280.00 2.777E-04 2.071E-01285 4.750 618.496 1 285.00 2.826E-04 2.108E-01290 4.833 629.346 1.1 319.00 3.163E-04 2.359E-01295 4.917 640.197 1.1 324.50 3.218E-04 2.400E-01300 5.000 651.048 1.1 330.00 3.273E-04 2.440E-01305 5.083 661.899 1.1 335.50 3.327E-04 2.481E-01310 5.167 672.749 1.1 341.00 3.382E-04 2.522E-01315 5.250 683.600 1.15 362.25 3.592E-04 2.679E-01320 5.333 694.451 1.2 384.00 3.808E-04 2.840E-01325 5.417 705.302 1.2 390.00 3.868E-04 2.884E-01330 5.500 716.153 1.2 396.00 3.927E-04 2.928E-01335 5.583 727.003 1.35 452.25 4.485E-04 3.344E-01340 5.667 737.854 1.4 476.00 4.720E-04 3.520E-01345 5.750 748.705 1.5 517.50 5.132E-04 3.827E-01350 5.833 759.556 1.55 542.50 5.380E-04 4.012E-01

355 5.917 770.407 1.6 568.00 5.633E-04 4.200E-01360 6.000 781.257 1.7 612.00 6.069E-04 4.526E-01365 6.083 792.108 1.8 657.00 6.515E-04 4.858E-01370 6.167 802.959 1.9 703.00 6.971E-04 5.199E-01375 6.250 813.810 1.95 731.25 7.252E-04 5.408E-01380 6.333 824.661 2 760.00 7.537E-04 5.620E-01385 6.417 835.511 2.25 866.25 8.590E-04 6.406E-01390 6.500 846.362 2.25 877.50 8.702E-04 6.489E-01395 6.583 857.213 2.45 967.75 9.597E-04 7.156E-01400 6.667 868.064 2.45 980.00 9.718E-04 7.247E-01405 6.750 878.915 2.6 1053.00 1.044E-03 7.787E-01410 6.833 889.765 2.7 1107.00 1.098E-03 8.186E-01415 6.917 900.616 2.8 1162.00 1.152E-03 8.593E-01420 7.000 911.467 3.15 1323.00 1.312E-03 9.783E-01425 7.083 922.318 3.3 1402.50 1.391E-03 1.037E+00430 7.167 933.169 3.4 1462.00 1.450E-03 1.081E+00435 7.250 944.019 3.4 1479.00 1.467E-03 1.094E+00440 7.333 954.870 3.6 1584.00 1.571E-03 1.171E+00445 7.417 965.721 3.8 1691.00 1.677E-03 1.250E+00450 7.500 976.572 3.9 1755.00 1.740E-03 1.298E+00455 7.583 987.423 4.2 1911.00 1.895E-03 1.413E+00460 7.667 998.273 4.3 1978.00 1.962E-03 1.463E+00465 7.750 1009.124 4.45 2069.25 2.052E-03 1.530E+00470 7.833 1019.975 4.75 2232.50 2.214E-03 1.651E+00475 7.917 1030.826 4.75 2256.25 2.237E-03 1.668E+00480 8.000 1041.677 4.95 2376.00 2.356E-03 1.757E+00485 8.083 1052.527 4.95 2400.75 2.381E-03 1.775E+00490 8.167 1063.378 4.95 2425.50 2.405E-03 1.794E+00495 8.250 1074.229 5 2475.00 2.454E-03 1.830E+00500 8.333 1085.080 5.2 2600.00 2.578E-03 1.923E+00

Npo cb Nre Npo cb

120.749 43.403 120.749 1.638 2.08282.799 54.254 82.799 1.734 1.91857.500 65.105 57.500 1.814 1.76042.245 75.956 42.245 1.881 1.62634.500 86.806 34.500 1.939 1.53827.259 97.657 27.259 1.990 1.43622.080 108.508 22.080 2.035 1.34418.248 119.359 18.248 2.077 1.26115.333 130.210 15.333 2.115 1.18613.065 141.060 13.065 2.149 1.11611.265 151.911 11.265 2.182 1.0529.813 162.762 9.813 2.212 0.9928.625 173.613 8.625 2.240 0.9367.640 184.464 7.640 2.266 0.8836.815 195.314 6.815 2.291 0.8336.116 206.165 6.116 2.314 0.7865.520 217.016 5.520 2.336 0.7425.007 227.867 5.007 2.358 0.7004.847 238.718 4.847 2.378 0.685

4.696 249.568 4.696 2.397 0.6724.312 260.419 4.312 2.416 0.6353.974 271.270 3.974 2.433 0.5993.675 282.121 3.675 2.450 0.5653.407 292.972 3.407 2.467 0.5323.168 303.822 3.168 2.483 0.5012.954 314.673 2.954 2.498 0.4702.760 325.524 2.760 2.513 0.4412.585 336.375 2.585 2.527 0.4122.426 347.226 2.426 2.541 0.3852.281 358.076 2.281 2.554 0.3582.149 368.927 2.149 2.567 0.3322.028 379.778 2.028 2.580 0.3071.917 390.629 1.917 2.592 0.2831.814 401.480 1.814 2.604 0.2591.720 412.330 1.720 2.615 0.2361.633 423.181 1.633 2.627 0.2131.552 434.032 1.552 2.638 0.1911.478 444.883 1.478 2.648 0.1701.408 455.734 1.408 2.659 0.1491.418 466.584 1.418 2.669 0.1521.426 477.435 1.426 2.679 0.1541.363 488.286 1.363 2.689 0.1341.304 499.137 1.304 2.698 0.1151.249 509.988 1.249 2.708 0.0971.198 520.838 1.198 2.717 0.0781.150 531.689 1.150 2.726 0.0611.104 542.540 1.104 2.734 0.0431.061 553.391 1.061 2.743 0.0261.021 564.242 1.021 2.751 0.0090.983 575.092 0.983 2.760 -0.0080.946 585.943 0.946 2.768 -0.0240.912 596.794 0.912 2.776 -0.0400.880 607.645 0.880 2.784 -0.0550.849 618.496 0.849 2.791 -0.0710.902 629.346 0.902 2.799 -0.0450.872 640.197 0.872 2.806 -0.0590.843 651.048 0.843 2.814 -0.0740.816 661.899 0.816 2.821 -0.0880.790 672.749 0.790 2.828 -0.1020.800 683.600 0.800 2.835 -0.0970.809 694.451 0.809 2.842 -0.0920.784 705.302 0.784 2.848 -0.1060.760 716.153 0.760 2.855 -0.1190.830 727.003 0.830 2.862 -0.0810.836 737.854 0.836 2.868 -0.0780.870 748.705 0.870 2.874 -0.0610.873 759.556 0.873 2.881 -0.059

0.876 770.407 0.876 2.887 -0.0570.905 781.257 0.905 2.893 -0.0430.932 792.108 0.932 2.899 -0.0300.958 802.959 0.958 2.905 -0.0190.957 813.810 0.957 2.911 -0.0190.956 824.661 0.956 2.916 -0.0201.047 835.511 1.047 2.922 0.0201.021 846.362 1.021 2.928 0.0091.083 857.213 1.083 2.933 0.0351.057 868.064 1.057 2.939 0.0241.094 878.915 1.094 2.944 0.0391.108 889.765 1.108 2.949 0.0451.122 900.616 1.122 2.955 0.0501.232 911.467 1.232 2.960 0.0911.261 922.318 1.261 2.965 0.1011.269 933.169 1.269 2.970 0.1031.240 944.019 1.240 2.975 0.0931.283 954.870 1.283 2.980 0.1081.324 965.721 1.324 2.985 0.1221.329 976.572 1.329 2.990 0.1231.400 987.423 1.400 2.995 0.1461.402 998.273 1.402 2.999 0.1471.420 1009.124 1.420 3.004 0.1521.484 1019.975 1.484 3.009 0.1711.453 1030.826 1.453 3.013 0.1621.482 1041.677 1.482 3.018 0.1711.452 1052.527 1.452 3.022 0.1621.423 1063.378 1.423 3.027 0.1531.408 1074.229 1.408 3.031 0.1491.435 1085.080 1.435 3.035 0.157

1.400 1.600 1.800 2.000 2.200 2.400 2.600 2.800 3.000 3.200

-0.500

0.000

0.500

1.000

1.500

2.000

2.500

f(x) = − 1.4047025824566 x + 4.06632675819413R² = 0.873254231221169

logNRe

logP

o

1.400 1.600 1.800 2.000 2.200 2.400 2.600 2.800 3.000 3.200

-0.500

0.000

0.500

1.000

1.500

2.000

2.500

f(x) = − 1.4047025824566 x + 4.06632675819413R² = 0.873254231221169

logNRe

logP

o

10.000 100.000 1000.000 10000.000

0.100

1.000

10.000

100.000

1000.000

NPo

NRe

Turbina de 6 palas sin Bafles, curva experimental

10.000 100.000 1000.000 10000.000

0.100

1.000

10.000

100.000

1000.000

NPo

NRe

Turbina de 6 palas sin Bafles, curva experimental

Registro de datos del Laboratorio de Agitacion del dia Miercoles 23/05/2012 (11am a 1pm)Turbina de 6 palas sin bafles

Caracteristicas del fluidoNombre Aceite de soyaTemperatura de trababjo (°C) 22.8 °CDensidad (kg(m3) 913Viscosidad (Pa.s) 0.0405

Caracteristicas del equipo de agitacionPotencia del motor (HP) 1/4Rango de velocidad permisible (RPM) 20-2500Torque máximo (pulg-onzas) 100.8 pulg-onzasFuente de energia (V) 230 VAC ; 50/60 Hz

Caracteristicas del tanque (forma,matDiametro del tanque (Dt) m 29.8 cmTipo de agitador (nombre) turbina, 6 palasDiametro del agitador (Da) m 7.6 cmAltura del liquido (HI) m 29.8 cmAltura a la que se encuentra el agita 7.6 cmNumero de placas deflectoras J (m) -Ancho de placas deflectoras J(m) -Ancho de paletas L(m) 19 mmLargo de Paletas W(m) 15.25 mm

Registro de datos

RPM Torque SB20 0.625 0.630 0.635 0.640 0.645 0.650 0.655 0.660 0.665 0.670 0.675 0.780 0.785 0.790 0.795 0.7

100 0.7

vidrio ,cilindrico y de bordes redondeados

105 0.7110 0.7115 0.7120 0.7125 0.7130 0.7135 0.7140 0.7145 0.7150 0.7155 0.7160 0.7165 0.7170 0.7175 0.7180 0.7185 0.7190 0.7195 0.7200 0.7205 0.7210 0.7215 0.7220 0.7225 0.8230 0.8235 0.8240 0.8245 0.8250 0.8255 0.8260 0.8265 0.8270 0.8275 0.8280 0.8285 0.8290 0.8295 0.8300 0.8305 0.8310 0.8315 0.8320 0.9325 0.9330 0.9335 0.9340 1.0

345 1.0350 1.1355 1.1360 1.2365 1.2370 1.3375 1.3380 1.4385 1.4390 1.5395 1.5400 1.6405 1.7410 1.8415 1.9420 2.0425 2.1430 2.1435 2.2440 2.3445 2.4450 2.4455 2.6460 2.7465 2.8470 2.9475 3.0480 3.2485 3.3490 3.4495 3.6500 3.8

Formación de vórtice

Registro de datos del Laboratorio de Agitacion del dia Miercoles 23/05/2012 (11am a 1pm)

D 0.076g 9.8

a 1b 40

RPM(N) RPS(n) Nre TORQUE SB TsbxN HPsb Wsb en watts

20 0.333 43.403 0.6 12.00 1.190E-05 8.874E-0325 0.417 54.254 0.6 15.00 1.488E-05 1.109E-0230 0.500 65.105 0.6 18.00 1.785E-05 1.331E-0235 0.583 75.956 0.6 21.00 2.083E-05 1.553E-0240 0.667 86.806 0.6 24.00 2.380E-05 1.775E-0245 0.750 97.657 0.6 27.00 2.678E-05 1.997E-0250 0.833 108.508 0.6 30.00 2.975E-05 2.218E-0255 0.917 119.359 0.6 33.00 3.273E-05 2.440E-0260 1.000 130.210 0.6 36.00 3.570E-05 2.662E-0265 1.083 141.060 0.6 39.00 3.868E-05 2.884E-0270 1.167 151.911 0.6 42.00 4.165E-05 3.106E-0275 1.250 162.762 0.7 52.50 5.206E-05 3.882E-0280 1.333 173.613 0.7 56.00 5.553E-05 4.141E-0285 1.417 184.464 0.7 59.50 5.900E-05 4.400E-0290 1.500 195.314 0.7 63.00 6.248E-05 4.659E-0295 1.583 206.165 0.7 66.50 6.595E-05 4.918E-02

100 1.667 217.016 0.7 70.00 6.942E-05 5.176E-02

105 1.750 227.867 0.7 73.50 7.289E-05 5.435E-02110 1.833 238.718 0.7 77.00 7.636E-05 5.694E-02115 1.917 249.568 0.7 80.50 7.983E-05 5.953E-02120 2.000 260.419 0.7 84.00 8.330E-05 6.212E-02125 2.083 271.270 0.7 87.50 8.677E-05 6.471E-02130 2.167 282.121 0.7 91.00 9.024E-05 6.729E-02135 2.250 292.972 0.7 94.50 9.371E-05 6.988E-02140 2.333 303.822 0.7 98.00 9.718E-05 7.247E-02145 2.417 314.673 0.7 101.50 1.007E-04 7.506E-02150 2.500 325.524 0.7 105.00 1.041E-04 7.765E-02155 2.583 336.375 0.7 108.50 1.076E-04 8.023E-02160 2.667 347.226 0.7 112.00 1.111E-04 8.282E-02165 2.750 358.076 0.7 115.50 1.145E-04 8.541E-02170 2.833 368.927 0.7 119.00 1.180E-04 8.800E-02175 2.917 379.778 0.7 122.50 1.215E-04 9.059E-02180 3.000 390.629 0.7 126.00 1.250E-04 9.318E-02185 3.083 401.480 0.7 129.50 1.284E-04 9.576E-02190 3.167 412.330 0.7 133.00 1.319E-04 9.835E-02195 3.250 423.181 0.7 136.50 1.354E-04 1.009E-01200 3.333 434.032 0.7 140.00 1.388E-04 1.035E-01205 3.417 444.883 0.7 143.50 1.423E-04 1.061E-01210 3.500 455.734 0.7 147.00 1.458E-04 1.087E-01215 3.583 466.584 0.7 150.50 1.492E-04 1.113E-01220 3.667 477.435 0.7 154.00 1.527E-04 1.139E-01225 3.750 488.286 0.8 180.00 1.785E-04 1.331E-01230 3.833 499.137 0.8 184.00 1.825E-04 1.361E-01235 3.917 509.988 0.8 188.00 1.864E-04 1.390E-01240 4.000 520.838 0.8 192.00 1.904E-04 1.420E-01245 4.083 531.689 0.8 196.00 1.944E-04 1.449E-01250 4.167 542.540 0.8 200.00 1.983E-04 1.479E-01255 4.250 553.391 0.8 204.00 2.023E-04 1.509E-01260 4.333 564.242 0.8 208.00 2.063E-04 1.538E-01265 4.417 575.092 0.8 212.00 2.102E-04 1.568E-01270 4.500 585.943 0.8 216.00 2.142E-04 1.597E-01275 4.583 596.794 0.8 220.00 2.182E-04 1.627E-01280 4.667 607.645 0.8 224.00 2.221E-04 1.656E-01285 4.750 618.496 0.8 228.00 2.261E-04 1.686E-01290 4.833 629.346 0.8 232.00 2.301E-04 1.716E-01295 4.917 640.197 0.8 236.00 2.340E-04 1.745E-01300 5.000 651.048 0.8 240.00 2.380E-04 1.775E-01305 5.083 661.899 0.8 244.00 2.420E-04 1.804E-01310 5.167 672.749 0.8 248.00 2.459E-04 1.834E-01315 5.250 683.600 0.8 252.00 2.499E-04 1.864E-01320 5.333 694.451 0.9 288.00 2.856E-04 2.130E-01325 5.417 705.302 0.9 292.50 2.901E-04 2.163E-01330 5.500 716.153 0.9 297.00 2.945E-04 2.196E-01335 5.583 727.003 0.9 301.50 2.990E-04 2.230E-01340 5.667 737.854 1.0 340.00 3.372E-04 2.514E-01

345 5.750 748.705 1.0 345.00 3.421E-04 2.551E-01350 5.833 759.556 1.1 385.00 3.818E-04 2.847E-01355 5.917 770.407 1.1 390.50 3.872E-04 2.888E-01360 6.000 781.257 1.2 432.00 4.284E-04 3.195E-01365 6.083 792.108 1.2 438.00 4.344E-04 3.239E-01370 6.167 802.959 1.3 481.00 4.770E-04 3.557E-01375 6.250 813.810 1.3 487.50 4.834E-04 3.605E-01380 6.333 824.661 1.4 532.00 5.276E-04 3.934E-01385 6.417 835.511 1.4 539.00 5.345E-04 3.986E-01390 6.500 846.362 1.5 585.00 5.801E-04 4.326E-01395 6.583 857.213 1.5 592.50 5.876E-04 4.381E-01400 6.667 868.064 1.6 640.00 6.347E-04 4.733E-01405 6.750 878.915 1.7 688.50 6.828E-04 5.091E-01410 6.833 889.765 1.8 738.00 7.319E-04 5.457E-01415 6.917 900.616 1.9 788.50 7.819E-04 5.831E-01420 7.000 911.467 2.0 840.00 8.330E-04 6.212E-01425 7.083 922.318 2.1 892.50 8.851E-04 6.600E-01430 7.167 933.169 2.1 903.00 8.955E-04 6.678E-01435 7.250 944.019 2.2 957.00 9.490E-04 7.077E-01440 7.333 954.870 2.3 1012.00 1.004E-03 7.484E-01445 7.417 965.721 2.4 1068.00 1.059E-03 7.898E-01450 7.500 976.572 2.4 1080.00 1.071E-03 7.986E-01455 7.583 987.423 2.6 1183.00 1.173E-03 8.748E-01460 7.667 998.273 2.7 1242.00 1.232E-03 9.184E-01465 7.750 1009.124 2.8 1302.00 1.291E-03 9.628E-01470 7.833 1019.975 2.9 1363.00 1.352E-03 1.008E+00475 7.917 1030.826 3.0 1425.00 1.413E-03 1.054E+00480 8.000 1041.677 3.2 1536.00 1.523E-03 1.136E+00485 8.083 1052.527 3.3 1600.50 1.587E-03 1.184E+00490 8.167 1063.378 3.4 1666.00 1.652E-03 1.232E+00495 8.250 1074.229 3.6 1782.00 1.767E-03 1.318E+00500 8.333 1085.080 3.8 1900.00 1.884E-03 1.405E+00

Npo sb NFr m Nre

103.499 0.001 -0.016 1.119 92.490 43.40366.240 0.001 -0.018 1.129 58.669 54.25446.000 0.002 -0.020 1.135 40.512 65.10533.796 0.003 -0.022 1.140 29.655 75.95625.875 0.003 -0.023 1.142 22.651 86.80620.444 0.004 -0.025 1.144 17.872 97.65716.560 0.005 -0.026 1.145 14.465 108.50813.686 0.007 -0.027 1.145 11.951 119.35911.500 0.008 -0.028 1.145 10.044 130.2109.799 0.009 -0.029 1.145 8.561 141.0608.449 0.011 -0.030 1.144 7.386 151.9118.587 0.012 -0.030 1.143 7.512 162.7627.547 0.014 -0.031 1.142 6.609 173.6136.685 0.016 -0.032 1.141 5.860 184.4645.963 0.017 -0.032 1.140 5.233 195.3145.352 0.019 -0.033 1.138 4.702 206.1654.830 0.022 -0.033 1.137 4.249 217.016

NFrm Npo/NFrm

4.381 0.024 -0.034 1.135 3.859 227.8673.992 0.026 -0.034 1.134 3.520 238.7183.652 0.028 -0.035 1.132 3.225 249.5683.354 0.031 -0.035 1.131 2.966 260.4193.091 0.034 -0.036 1.129 2.737 271.2702.858 0.036 -0.036 1.128 2.534 282.1212.650 0.039 -0.037 1.126 2.354 292.9722.464 0.042 -0.037 1.124 2.192 303.8222.297 0.045 -0.037 1.123 2.046 314.6732.147 0.048 -0.038 1.121 1.914 325.5242.010 0.052 -0.038 1.120 1.796 336.3751.887 0.055 -0.039 1.118 1.687 347.2261.774 0.059 -0.039 1.116 1.589 358.0761.671 0.062 -0.039 1.115 1.499 368.9271.577 0.066 -0.039 1.113 1.417 379.7781.491 0.070 -0.040 1.112 1.341 390.6291.411 0.074 -0.040 1.110 1.271 401.4801.338 0.078 -0.040 1.109 1.207 412.3301.270 0.082 -0.041 1.107 1.147 423.1811.207 0.086 -0.041 1.106 1.092 434.0321.149 0.091 -0.041 1.104 1.041 444.8831.095 0.095 -0.041 1.103 0.993 455.7341.045 0.100 -0.042 1.101 0.949 466.5840.998 0.104 -0.042 1.100 0.908 477.4351.090 0.109 -0.042 1.098 0.993 488.2861.043 0.114 -0.042 1.097 0.952 499.1371.000 0.119 -0.043 1.095 0.913 509.9880.958 0.124 -0.043 1.094 0.876 520.8380.920 0.129 -0.043 1.092 0.842 531.6890.883 0.135 -0.043 1.091 0.810 542.5400.849 0.140 -0.044 1.089 0.779 553.3910.817 0.146 -0.044 1.088 0.750 564.2420.786 0.151 -0.044 1.087 0.723 575.0920.757 0.157 -0.044 1.085 0.698 585.9430.730 0.163 -0.044 1.084 0.673 596.7940.704 0.169 -0.045 1.083 0.650 607.6450.680 0.175 -0.045 1.081 0.629 618.4960.656 0.181 -0.045 1.080 0.608 629.3460.634 0.187 -0.045 1.079 0.588 640.1970.613 0.194 -0.045 1.077 0.569 651.0480.593 0.200 -0.046 1.076 0.552 661.8990.574 0.207 -0.046 1.075 0.535 672.7490.556 0.214 -0.046 1.073 0.518 683.6000.606 0.221 -0.046 1.072 0.566 694.4510.588 0.228 -0.046 1.071 0.549 705.3020.570 0.235 -0.046 1.070 0.533 716.1530.553 0.242 -0.047 1.068 0.518 727.0030.597 0.249 -0.047 1.067 0.559 737.854

0.580 0.256 -0.047 1.066 0.544 748.7050.620 0.264 -0.047 1.065 0.582 759.5560.602 0.271 -0.047 1.063 0.566 770.4070.639 0.279 -0.047 1.062 0.601 781.2570.622 0.287 -0.047 1.061 0.586 792.1080.655 0.295 -0.048 1.060 0.618 802.9590.638 0.303 -0.048 1.059 0.602 813.8100.669 0.311 -0.048 1.058 0.633 824.6610.652 0.319 -0.048 1.056 0.617 835.5110.680 0.328 -0.048 1.055 0.645 846.3620.663 0.336 -0.048 1.054 0.629 857.2130.690 0.345 -0.048 1.053 0.655 868.0640.715 0.353 -0.049 1.052 0.680 878.9150.739 0.362 -0.049 1.051 0.703 889.7650.761 0.371 -0.049 1.050 0.725 900.6160.782 0.380 -0.049 1.049 0.746 911.4670.802 0.389 -0.049 1.047 0.766 922.3180.784 0.398 -0.049 1.046 0.749 933.1690.802 0.408 -0.049 1.045 0.767 944.0190.820 0.417 -0.049 1.044 0.785 954.8700.836 0.427 -0.050 1.043 0.802 965.7210.818 0.436 -0.050 1.042 0.785 976.5720.867 0.446 -0.050 1.041 0.832 987.4230.880 0.456 -0.050 1.040 0.847 998.2730.894 0.466 -0.050 1.039 0.860 1009.1240.906 0.476 -0.050 1.038 0.873 1019.9750.917 0.486 -0.050 1.037 0.885 1030.8260.958 0.496 -0.050 1.036 0.925 1041.6770.968 0.507 -0.051 1.035 0.935 1052.5270.977 0.517 -0.051 1.034 0.945 1063.3781.014 0.528 -0.051 1.033 0.981 1074.2291.049 0.539 -0.051 1.032 1.016 1085.080

Npo cb

103.499 1.638 2.01566.240 1.734 1.82146.000 1.814 1.66333.796 1.881 1.52925.875 1.939 1.41320.444 1.990 1.31116.560 2.035 1.21913.686 2.077 1.13611.500 2.115 1.0619.799 2.149 0.9918.449 2.182 0.9278.587 2.212 0.9347.547 2.240 0.8786.685 2.266 0.8255.963 2.291 0.7755.352 2.314 0.7284.830 2.336 0.684

0 100 200 300 400 500 600 700 800 900 1000 1100 12000

10

20

30

40

50

60

70

80

90

100

f(x) = 10580.4631724697 x -̂1.45279687587158R² = 0.897954944346013

NRe

Npo

/NFr

m2

4.381 2.358 0.6423.992 2.378 0.6013.652 2.397 0.5633.354 2.416 0.5263.091 2.433 0.4902.858 2.450 0.4562.650 2.467 0.4232.464 2.483 0.3922.297 2.498 0.3612.147 2.513 0.3322.010 2.527 0.3031.887 2.541 0.2761.774 2.554 0.2491.671 2.567 0.2231.577 2.580 0.1981.491 2.592 0.1731.411 2.604 0.1501.338 2.615 0.1261.270 2.627 0.1041.207 2.638 0.0821.149 2.648 0.0601.095 2.659 0.0401.045 2.669 0.0190.998 2.679 -0.0011.090 2.689 0.0381.043 2.698 0.0181.000 2.708 0.0000.958 2.717 -0.0180.920 2.726 -0.0360.883 2.734 -0.0540.849 2.743 -0.0710.817 2.751 -0.0880.786 2.760 -0.1050.757 2.768 -0.1210.730 2.776 -0.1370.704 2.784 -0.1520.680 2.791 -0.1680.656 2.799 -0.1830.634 2.806 -0.1980.613 2.814 -0.2120.593 2.821 -0.2270.574 2.828 -0.2410.556 2.835 -0.2550.606 2.842 -0.2170.588 2.848 -0.2310.570 2.855 -0.2440.553 2.862 -0.2570.597 2.868 -0.224

0 100 200 300 400 500 600 700 800 900 1000 1100 12000

10

20

30

40

50

60

70

80

90

100

f(x) = 10580.4631724697 x -̂1.45279687587158R² = 0.897954944346013

NRe

Npo

/NFr

m2

1.400 1.600 1.800 2.000 2.200 2.400 2.600 2.800 3.000 3.200

-0.500

0.000

0.500

1.000

1.500

2.000

2.500

f(x) = − 1.4918305298324 x + 4.16527408242644R² = 0.907879192443153

logNRe

logN

Po

0.580 2.874 -0.2370.620 2.881 -0.2080.602 2.887 -0.2200.639 2.893 -0.1950.622 2.899 -0.2070.655 2.905 -0.1840.638 2.911 -0.1950.669 2.916 -0.1750.652 2.922 -0.1860.680 2.928 -0.1670.663 2.933 -0.1780.690 2.939 -0.1610.715 2.944 -0.1460.739 2.949 -0.1310.761 2.955 -0.1180.782 2.960 -0.1070.802 2.965 -0.0960.784 2.970 -0.1060.802 2.975 -0.0960.820 2.980 -0.0860.836 2.985 -0.0780.818 2.990 -0.0870.867 2.995 -0.0620.880 2.999 -0.0550.894 3.004 -0.0490.906 3.009 -0.0430.917 3.013 -0.0370.958 3.018 -0.0180.968 3.022 -0.0140.977 3.027 -0.0101.014 3.031 0.0061.049 3.035 0.021

0 100 200 300 400 500 600 700 800 900 1000 1100 12000

10

20

30

40

50

60

70

80

90

100

f(x) = 10580.4631724697 x -̂1.45279687587158R² = 0.897954944346013

NRe

Npo

/NFr

m2

0 100 200 300 400 500 600 700 800 900 1000 1100 12000

10

20

30

40

50

60

70

80

90

100

f(x) = 10580.4631724697 x -̂1.45279687587158R² = 0.897954944346013

NRe

Npo

/NFr

m2

1.400 1.600 1.800 2.000 2.200 2.400 2.600 2.800 3.000 3.200

-0.500

0.000

0.500

1.000

1.500

2.000

2.500

f(x) = − 1.4918305298324 x + 4.16527408242644R² = 0.907879192443153

logNRe

logN

Po