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INSTITUTO POLITECNICO NACIONAL ESCUELA SUPERIOR DE INGENIERIA MECANICA Y ELECTRICA UNIDAD TICOMAN Aerodinámica “Gráfica Polar del Beagle M.117” Grupo: 5AV1 Turno: Vespertino Alumnos: Rojas Falcón David Silva Flores Carlos Zepeda Velázquez Arnold Alberto Profesor: Medrano Mejía Antonio

Graficas Polares Beagle

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Graficas polares de la aeronave Beagle

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INSTITUTO POLITECNICO NACIONALESCUELA SUPERIOR DE INGENIERIA MECANICA Y ELECTRICA UNIDAD TICOMANAerodinmicaGrfica Polar del Beagle M.117Grupo: 5AV1Turno: VespertinoAlumnos:

Rojas Falcn DavidSilva Flores CarlosZepeda Velzquez Arnold AlbertoProfesor:Medrano Meja Antonio

Mtodo de Anderson para la Semienvergadura del ala:

EstacinycLaLbClaClbCl=-0.2CL=0.2CL=0.4

001.31.2616429-0.3360714-0.027169291.01901927-0.230973150.176634560.38043841

0.21.081.187500581.2035-0.2354286-0.020836061.06414685-0.233665430.191993310.40482268

0.42.161.075001161.1082857-0.0243571-0.002381261.08251045-0.218883350.214120830.43062292

0.63.240.962501740.98964290.13550.014795441.07960849-0.201126260.230717140.44663883

0.84.320.850002320.81971430.21121430.02611521.01258549-0.17640190.22863230.43114939

0.94.860.793752610.66621430.21714290.028750840.88128846-0.147506850.205008540.38126623

0.955.130.765627750.53728570.19371430.026590970.73684631-0.12077830.173960230.32132949

0.9755.2650.751565330.40807140.14535710.020326360.57011008-0.093695660.134348380.24837039

15.40.7375029000

CL=0.6CL=0.8CL=1CL=1.27CL=1.4CL=1.6CL=1.8CL=2

1.109589190.788046120.991849971.266985181.399457681.603261531.807065392.01086924

1.166264130.830481421.043310791.330630441.468969531.68179891.894628272.10745764

1.205204280.86362711.080129191.372407011.513133371.729635451.946137542.16263963

1.219143730.878482231.094403931.385898221.526247321.742169021.958090712.17401241

1.155696540.836183591.038700691.312098771.443734891.646251981.848769082.05128618

1.011864870.733781610.91003931.147987191.262554691.438812381.615070071.79132777

0.848573750.616068020.763437280.962385781.05817581.205545061.352914331.50028359

0.656307930.476414430.590436440.744366170.818480480.932502491.046524511.16054653

00000000

Con la tabla del mtodo de Anderson completa, se grafica el coeficiente de levantamiento para cada estacin.

Con el dato obtenido de la grfica de distribucin de coeficientes de levantamiento, donde la curva de distribucin de coeficientes de levantamiento respecto a la estacin de la semienvergadura es tangente a la recta de coeficientes de levantamiento del perfil utilizado en el ala.Lo siguiente se realiz de manera grfica, para obtener el Coeficiente de levantamiento mximo.

Mtodo de Anderson para el empenaje horizontal:1.45m

Estaciony=est*b/2cLaLbClaClbCL perfilesCL=0.2CL=0.4CL=0.6

002.51.338-0.2520.8782769201.60.175655380.351310770.52696615

0.20.9752.191.259-0.1760.9434024101.60.188680480.377360960.56604145

0.41.951.881.145-0.0160.9994544501.60.199890890.399781780.59967267

0.62.9251.570.9810.1011.0253797201.60.205075940.410151890.61522783

0.83.91.260.7480.150.9741961701.60.194839230.389678470.5845177

0.94.38751.1050.5650.1540.8390764601.60.167815290.335630580.50344588

0.954.631251.02750.4280.1220.6835610501.60.136712210.273424420.41013663

0.9754.7531250.988750.3140.820.5211449301.60.104228990.208457970.31268696

14.8750.9500001.6000

CL=0.8CL=1.0CL=1.20CL=1.3CL=1.4CL=1.5CL=1.55CL=1.56

0.702621540.878276921.053932311.141761.229587691.317415381.361329231.370112

0.754721930.943402411.132082891.226423141.320763381.415103621.462273741.47170776

0.799563560.999454451.199345341.299290781.399236221.499181671.549154391.55914894

0.820303771.025379721.230455661.332993631.43553161.538069571.589338561.59959236

0.779356940.974196171.169035411.266455031.363874641.461294261.510004071.51974603

0.671261170.839076461.006891751.09079941.174707041.258614691.300568511.30895928

0.546848840.683561050.820273250.888629360.956985461.025341571.059519621.06635523

0.416915950.521144930.625373920.677488410.72960290.78171740.807774640.81298609

00000000

Con la tabla del mtodo de Anderson completa, se grafica el coeficiente de levantamiento para cada estacin.

Con el dato obtenido de la grfica de distribucin de coeficientes de levantamiento, donde la curva de distribucin de coeficientes de levantamiento respecto a la estacin de la semienvergadura es tangente a la recta de coeficientes de levantamiento del perfil utilizado en el ala.Lo siguiente se realiz de manera grfica, para obtener el Coeficiente de levantamiento mximo.

Resistencia al avance parasitas:Tal como seala el libro de Theory of Flight de Von Mises, el tren de aterrizaje es uno de los mayores generadores de resistencia al avance parasitas. Debido a que el Beagle M.117 es un modelo cuyo tren de aterrizaje es fijo (no puede retraerse) dicha resistencia al avance est presente en todo momento.Por ese mismo motivo, solo se realizarn 3 de las cuatro polares, pues el Beagle no puede estar limpio, al ser incapaz de retraer su tren de aterrizaje.Para obtener la resistencia al avance parasitas, se debe tomar en cuenta todo aquello que las genere, desde el fuselaje mismo, las barquillas del motor (inexistentes en el Beagle al ser de un solo motor), los montantes, etc.En el caso especfico del tren de aterrizaje, deben primariamente identificarse los elementos que componen el tren de aterrizaje, para posteriormente realizar una tabla como la que se muestra a continuacin, en la cual se encuentra analizado el tren de aterrizaje del Beagle M.117:

ElementoReCdArea del elemento

1(Cilindro Superior)210437.711.10.04

2(Cilindro Inferior)105218.8551.10.02

3(Neumatico alas)347432.660.90.05032248

4(Neumatico de nariz)267255.8920.90.016129

Sumatorias40.12645148

Cd Total0.05017916

Tabla para la construccin de grficas polares:COLUMNA1COLUMNA 2COLUMNA 3COLUMNA 4COLUMNA 5COLUMNA 6COLUMNA 7COLUMNA 8COLUMNA 9

fuselajealaCLalaCdoalaCdi-alaCDalaehCLeh

-4-2.5-0.10.00740.000354530.00775453-0.38405894-1.81594106-0.09

-3-1.5-0.010.00743.5453E-060.00740355-0.03840589-1.16159411-0.08

-2-0.50.0750.00750.000199420.007699420.288044204-0.4880442-0.045

-10.50.120.00760.000510530.008110530.4608707270.339129270.035

01.50.20.00770.001418130.009118130.7681178781.031882120.1

12.50.280.00780.002779530.010579531.0753650291.724634970.12

23.50.350.00780.004343020.012143021.3442062862.455793710.18

34.50.40.00790.005672520.013572521.5362357553.263764240.2

45.50.50.0080.008863310.016863311.9202946943.879705310.22

56.50.550.00820.01072460.01892462.1123241644.687675840.29

67.50.620.00840.013628220.022028222.3811654215.418834580.32

78.50.70.00880.017372080.026172082.6884125726.111587430.38

89.50.790.00930.022126350.031426353.0340656176.765934380.4

910.50.850.00990.025614950.035514953.264500987.535499020.47

1011.50.980.0110.034049270.045049273.7637776018.03622240.5

1112.51.050.01120.039087180.050287184.0326188588.767381140.54

1213.51.10.0120.04289840.05489844.2246483279.575351670.6

1314.51.160.0130.047705850.060705854.45508369110.34491630.63

1415.51.240.0150.054512870.069512874.76233084211.03766920.7

1516.51.250.0160.055395660.071395664.80073673611.99926330.79

1617.51.20.0140.051052640.065052644.60870726613.19129270.82

1718.51.080.01180.041352640.053152644.1478365414.65216350.91

1819.51.030.01120.037612320.048812323.9558070715.84419291.01

1920.50.980.0110.034049270.045049273.76377760117.03622241.1

2021.50.920.01020.030007610.040207613.53334223718.26665781.22

COLUMNA 10COLUMNA 11COLUMNA 12COLUMNA 13COLUMNA 14COLUMNA 15COLUMNA 16COLUMNA 17COLUMNA 18

CL'ehCdoehCdiEhCdEHCd'EHCLts/ACd EVCd BARCd M

-0.0145647320.00580.0006675640.0064675640.001046648-0.1145647320.001917500

-0.0129464290.00580.0005274580.0063274580.001023975-0.0229464290.001917500

-0.0072823660.00580.0001668910.0059668910.0009656240.0677176340.001917500

0.0056640630.00580.0001009590.0059009590.0009549540.1256640630.001917500

0.0161830360.0060.0008241530.0068241530.0011043550.2161830360.001917500

0.0194196430.00610.001186780.007286780.0011792220.2994196430.001917500

0.0291294640.00620.0026702540.0088702540.0014354760.3791294640.001917500

0.0323660710.00630.003296610.009596610.0015530230.4323660710.001917500

0.0356026790.006350.0039888980.0103388980.0016731480.5356026790.001917500

0.0469308040.00640.0069311230.0133311230.002157380.5969308040.001917500

0.0517857140.00670.0084393220.0151393220.0024500020.6717857140.001917500

0.0614955360.00680.0119007630.0187007630.0030263510.7614955360.001917500

0.0647321430.0070.0131864410.0201864410.0032667790.8547321430.001917500

0.0760602680.00740.018205530.025605530.0041437520.9260602680.001917500

0.0809151790.00750.0206038140.0281038140.004548051.0609151790.001917500

0.0873883930.00780.0240322880.0318322880.0051514311.1373883930.001917500

0.0970982140.00810.0296694920.0377694920.006112251.1970982140.001917500

0.1019531250.00820.0327106150.0409106150.0066205791.2619531250.001917500

0.113281250.00870.0403834750.0490834750.0079431961.353281250.001917500

0.1278459820.00930.051435360.060735360.0098288251.3778459820.001917500

0.1327008930.00960.0554160170.0650160170.0105215651.3327008930.001917500

0.1472656250.01010.0682480720.0783480720.0126790971.2272656250.001917500

0.1634486610.01180.0840718010.0958718010.0155149681.1934486610.001917500

0.1780133930.0130.0997224580.1127224580.0182419161.1580133930.001917500

0.1974330360.01570.1226668650.1383668650.0223919591.1174330360.001917500

COLUMNA 19COLUMNA 20COLUMNA 21COLUMNA 22COLUMNA 23COLUMNA 24COLUMNA 25COLUMNA 26COLUMNA 27COLUMNA 28

Cd TACd FUS1.05 Cd PARCl'Cd'Cl TC/ACd TS/AyTACd TC/AyTACd TC/TACd TC/A

0.050179160.013126330.068484140.5339285710.0693998580.4193638390.027106160.1466851770.077285320.096506017

0.050179160.013126330.068484140.5339285710.0693998580.5109821430.02673250.1463115170.076911660.096132357

0.050179160.013126330.068484140.5339285710.0693998580.6016462050.0269700280.1465490460.0771491880.096369886

0.050179160.013126330.068484140.5339285710.0693998580.6595926340.027370460.1469494780.077549620.096770318

0.050179160.013126330.068484140.5339285710.0693998580.7501116070.0285274630.1481064810.0787066230.097927321

0.050179160.013126330.068484140.5339285710.0693998580.8333482140.0300637340.1496427520.0802428940.099463592

0.050179160.013126330.068484140.5339285710.0693998580.9130580360.0318834750.1514624930.0820626350.101283333

0.050179160.013126330.068484140.5339285710.0693998580.9662946430.0334305180.1530095350.0836096780.102830375

0.050179160.013126330.068484140.5339285710.0693998581.069531250.0368414320.156420450.0870205920.10624129

0.050179160.013126330.068484140.5339285710.0693998581.1308593750.0393869590.1589659770.0895661190.108786817

0.050179160.013126330.068484140.5339285710.0693998581.2057142860.0427831990.1623622170.0929623590.112183057

0.050179160.013126330.068484140.5339285710.0693998581.2954241070.0475034090.1670824260.0976825690.116903266

0.050179160.013126330.068484140.5339285710.0693998581.3886607140.0529981130.1725771310.1031772730.122397971

0.050179160.013126330.068484140.5339285710.0693998581.4599888390.0579636830.1775427010.1081428430.127363541

0.050179160.013126330.068484140.5339285710.0693998581.594843750.0679023030.187481320.1180814630.13730216

0.050179160.013126330.068484140.5339285710.0693998581.6713169640.0737435860.1933226030.1239227460.143143443

0.050179160.013126330.068484140.5339285710.0693998581.7310267860.0793156260.1988946440.1294947860.148715484

0.050179160.013126330.068484140.5339285710.0693998581.7958816960.0856314120.205210430.1358105720.15503127

0.050179160.013126330.068484140.5339285710.0693998581.8872098210.0957610470.2153400650.1459402070.165160905

0.050179160.013126330.068484140.5339285710.0693998581.9117745540.0995294610.2191084790.1497086210.168929319

0.050179160.013126330.068484140.5339285710.0693998581.8666294640.0938791820.21345820.1440583420.16327904

0.050179160.013126330.068484140.5339285710.0693998581.7611941960.0841367120.203715730.1343158720.15353657

0.050179160.013126330.068484140.5339285710.0693998581.7273772320.0826322690.2022112860.1328114290.152032126

0.050179160.013126330.068484140.5339285710.0693998581.6919419640.0815961680.2011751860.1317753280.150996026

0.050179160.013126330.068484140.5339285710.0693998581.6513616070.0809045440.2004835620.1310837040.150304402

Polar del avin sucio (Aletas y tren de aterrizaje extendidos):

Polar del avin slo con tren de aterrizaje extendido:

Polar del avin slo con aletas extendidas: