Cilindro Finito

5/27/2018 Cilindro Finito

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Curso: Ingenieria de procesos Alimentarios

Profesor: Ing. Victor Terry SIMULACION DE PROCESO

Alumno: Berrocal Allccaco Melvin CORREGIR EL TIEMPO DE PROCESO TERMICO HASTA Fo =

Ao: 4to el proceso de calculo esta correcto

EPIA - FOPCA fal ta determinar teoricamente la difusidad termica usando ecu

CILINDRO FINITO

Cilindro infinito de radio R x Placa infinita de espesor H

Entonces :

h = 3 o espesor medio

diametro = 5

Calculo para la Placa infinita de espesor H

Parametros de entrada

TR = 120 C

To = 45 C

= 0.211cm/min

= 4.5 espesor medio

n = 9

t = 1 120

R= 2.5

n

i

t

i

iU

1

exp2

sin14


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n Sin(n/2) 1/n (1/n)(sin(n/2)) (-((i*pi)/2) 2)*(t/) 1 2 3 4

1 1 1 1 -0.057846848 0.94379448 0.890748021 0.840683066 0.793432037

2 0 0.5 0 -0.231387392 0 0 0 0

3 -1 0.333333333 -0.333333333 -0.520621632 -0.198050363 -0.11767184 -0.06991485 -0.04153999

4 0 0.25 0 -0.925549569 0 0 0 0

5 1 0.2 0.2 -1.446171201 0.047094026 0.011089237 0.002611184 0.000614856

6 0 0.166666667 0 -2.082486529 0 0 0 0

7 -1 0.142857143 -0.142857143 -2.834495554 -0.008392593 -0.00049305 -2.8966E-05 -1.7017E-06

8 0 0.125 0 -3.702198274 0 0 0 0

9 1 0.111111111 0.111111111 -4.685594691 0.00102525 9.46023E-06 8.72919E-08 8.05463E-10

Suma 0.7854708 0.78368183 0.77335052 0.752505207

Total 1.000092483 0.997814696 0.984660464 0.958119387

RESULTADOS

t 1 2 3 4 5 6 7 8

T2 59.99434927 60.13352209 60.93724567 62.55890545 64.75309428 67.25673656 69.88602836 72.52798658

Simulacion para el Cilindro infinitoDaros de entrada

TR = 121.1 C

To = 60 C

= 0.29003cm/min

R= 2.5

n = 9

t = 1 120

Diametro = 5

Valores de la funcion Bessel

i i J1 ( I) Jo (( i.R)/D) n Jo (( i.R)/D) i D

1 2.4 0.52 0.671 1 0.671 5.76 25


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2 5.52 -0.34 -0.168 2 -0.168 30.4704 25

3 8.65 0.272 -0.357 3 -0.357 74.8225 25

4 11.79 -0.232 0.121 4 0.121 139.0041 25

5 14.93 0.207 0.271 5 0.271 222.9049 25

6 18.07 -0.188 -0.099 6 -0.099 326.5249 25

7 21.21 0.173 -0.227 7 -0.227 449.8641 25

8 24.35 -0.162 0.086 8 0.086 592.9225 25

9 27.49 0.152 0.199 9 0.199 755.7001 25

t 1 2 3 4 5 6 7 8

T3 90.53980681 91.37145255 93.02736358 94.91614578 96.76729527 98.49495733 100.0827514 101.5376569

T2 87.74074105 88.49616394 90.00030571 91.7159753 93.39746133 94.96677793 96.40904586 97.73060491

T1 84.9916586 85.67221977 87.02730244 88.57295072 90.087803 91.50160174 92.80094221 93.99153595

Aplicacin del principio de Newman

Cilindro finito de radio R y altura H = Cilindro infinito de radio R x Placa infinita de espesor H

t 1 2 3 4 5 6 7 8

Cilindro fin. 0.500213085 0.485492333 0.452406141 0.410593426 0.367263727 0.326027539 0.288324732 0.254521548

T3 90.5369805 91.43641848 93.45798481 96.01274165 98.66018626 101.1797174 103.4833588 105.5487334

Lt 0.000878412 0.001080542 0.00172107 0.003099375 0.005701887 0.010185251 0.017311547 0.027853087

Calculo de la temperatura en el punto mas frio del envase :


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90

95

100

105

110

115

120

125

-15 5 25 45 65 85 105 125

Temperatura

Tiempo

Simulacin de la temperatura en funcion del tiempo

T3


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MINUTOS

aciones o referencias bibliograficas

ti2

2.

2


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5 6 7 8 9 10 11 12 13 14 15

0.748836777 0.706748017 0.667024877 0.629534398 0.59415109 0.560756519 0.529238907 0.49949276 0.471418509 0.444922187 0.4199151

0 0 0 0 0 0 0 0 0 0

-0.02468103 -0.01466426 -0.00871279 -0.00517671 -0.00307575 -0.00182746 -0.00108579 -0.00064512 -0.0003833 -0.00022774 -0.000135

0 0 0 0 0 0 0 0 0 0

0.00014478 3.40914E-05 8.02751E-06 1.89024E-06 4.45095E-07 1.04807E-07 2.46788E-08 5.81112E-09 1.36835E-09 3.22204E-10 7.58695E-

0 0 0 0 0 0 0 0 0 0

-9.9971E-08 -5.8731E-09 -3.4503E-10 -2.027E-11 -1.1908E-12 -6.9959E-14 -4.11E-15 -2.4145E-16 -1.4185E-17 -8.3334E-19 -4.8957E-0 0 0 0 0 0 0 0 0 0

7.43221E-12 6.85788E-14 6.32794E-16 5.83894E-18 5.38773E-20 4.9714E-22 4.58723E-24 4.23275E-26 3.90566E-28 3.60385E-30 3.32536E-

0.72430043 0.692117843 0.658320119 0.624359577 0.591075786 0.558929164 0.528153145 0.498847644 0.471035211 0.44469445 0.4197797

0.92220795 0.881231807 0.838199208 0.794959303 0.752581065 0.711650715 0.67246547 0.635152547 0.599740658 0.566202558 0.5344802

9 10 11 12 13 14 15 16 17 18

75.11729694 77.61814133 80.01235979 82.29217939 84.45584581 86.50502368 88.44325774 90.27506639 92.00541102 93.63938824 95.182054

1 2 3 4 5 6 7 8 9

0.29003 0.502906343 0.470398893 0.439992698 0.411551934 0.384949558 0.360066737 0.336792321 0.315022344 0.294659561 0.2756130


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0.29003 0.062859531 0.044141897 0.030997798 0.021767607 0.015285884 0.010734218 0.007537898 0.005293344 0.003717149 0.0026102

0.29003 -0.06369454 -0.02673753 -0.01122381 -0.0047115 -0.00197778 -0.00083023 -0.00034851 -0.0001463 -6.1412E-05 -2.5779E-

0.29003 -0.0088193 -0.00175827 -0.00035054 -6.9885E-05 -1.3933E-05 -2.7777E-06 -5.5378E-07 -1.104E-07 -2.2011E-08 -4.3882E-

0.29003 0.006604943 0.000497507 3.74739E-05 2.82266E-06 2.12613E-07 1.60147E-08 1.20628E-09 9.08613E-11 6.84398E-12 5.15512E-

0.29003 0.000659746 1.4936E-05 3.38136E-07 7.65507E-09 1.73303E-10 3.92341E-12 8.88222E-14 2.01085E-15 4.55236E-17 1.03061E-

0.29003 -0.00033487 -1.8126E-06 -9.8116E-09 -5.3109E-11 -2.8748E-13 -1.5561E-15 -8.4231E-18 -4.5594E-20 -2.4679E-22 -1.3359E-

0.29003 -2.2446E-05 -2.311E-08 -2.3793E-11 -2.4497E-14 -2.5221E-17 -2.5967E-20 -2.6735E-23 -2.7526E-26 -2.834E-29 -2.9178E-

0.29003 7.4193E-06 1.15582E-09 1.80061E-13 2.80509E-17 4.36994E-21 6.80775E-25 1.06055E-28 1.65219E-32 2.57388E-36 4.00974E-Suma 0.500166828 0.486555605 0.459453951 0.428540986 0.39824394 0.369967965 0.343981156 0.320169281 0.298315276 0.2781975

9 10 11 12 13 14 15 16 17 18

102.8729367 104.1021313 105.2372289 106.2883545 107.2639592 108.171125 109.0158532 109.8033012 110.5379647 111.2238151 111.86440

98.94350221 100.0600375 101.0910999 102.0458866 102.9320742 103.7560955 104.5234019 105.2386779 105.9060073 106.5289974 107.1108

95.08423622 96.09012384 97.01900891 97.87917715 98.67754436 99.41990589 100.1111729 100.7555657 101.3567633 101.9180157 102.44222

9 10 11 12 13 14 15 16 17 18 0.224506428 0.197979466 0.174585365 0.15397143 0.13581074 0.119809527 0.105707653 0.093276293 0.082314704 0.072646885 0.0641184

107.3826573 109.0034546 110.4328342 111.6923456 112.8019638 113.7796379 114.6412624 115.4008185 116.0705716 116.6612753 117.1823

0.042487945 0.061708567 0.085759732 0.11461318 0.147977736 0.185337709 0.226009264 0.269204212 0.314092207 0.359854992 0.4057290


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16 17 18 19 20 21 22 23 24 25 26

0.396313558 0.374038548 0.353015517 0.333174097 0.314447873 0.296774167 0.280093821 0.264351002 0.249493017 0.235470132 0.2222354

0 0 0 0 0 0 0 0 0 0

-8.0395E-05 -4.7767E-05 -2.8381E-05 -1.6862E-05 -1.0019E-05 -5.9527E-06 -3.5368E-06 -2.1014E-06 -1.2485E-06 -7.4182E-07 -4.4076E-

0 0 0 0 0 0 0 0 0 0

1.7865E-11 4.20668E-12 9.90547E-13 2.33244E-13 5.4922E-14 1.29325E-14 3.04522E-15 7.17058E-16 1.68846E-16 3.97581E-17 9.36185E-

0 0 0 0 0 0 0 0 0 0

-2.8761E-21 -1.6897E-22 -9.9265E-24 -5.8317E-25 -3.426E-26 -2.0127E-27 -1.1824E-28 -6.9465E-30 -4.081E-31 -2.3975E-32 -1.4085E-0 0 0 0 0 0 0 0 0 0

3.06839E-34 2.83128E-36 2.61249E-38 2.41061E-40 2.22433E-42 2.05244E-44 1.89384E-46 1.74749E-48 1.61245E-50 1.48785E-52 1.37288E-

0.396233163 0.373990782 0.352987137 0.333157234 0.314437855 0.296768215 0.280090284 0.264348901 0.249491768 0.23546939 0.222234

0.504499732 0.476179852 0.449437181 0.424188965 0.400354711 0.377857026 0.356622026 0.336579474 0.317662785 0.299808939 0.2829583

20 21 22 23 24 25 26 27 28 29

96.63832717 98.01293568 99.31039421 100.5349941 101.6908038 102.7816738 103.8112447 104.7829562 105.700057 106.5656145 107.38252

11 12 13 14 15 16 17 18 19 20

0.257797614 0.24113379 0.225547101 0.210967923 0.197331131 0.18457581 0.172644983 0.161485354 0.151047074 0.141283517 0.1321510


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0.00183303 0.00128721 0.000903919 0.00063476 0.000445748 0.000313018 0.000219811 0.000154358 0.000108395 7.61182E-05 5.34525E-

-1.0822E-05 -4.5427E-06 -1.9069E-06 -8.0048E-07 -3.3602E-07 -1.4105E-07 -5.9212E-08 -2.4856E-08 -1.0434E-08 -4.3799E-09 -1.8386E-

-8.7486E-10 -1.7442E-10 -3.4773E-11 -6.9325E-12 -1.3821E-12 -2.7554E-13 -5.4934E-14 -1.0952E-14 -2.1834E-15 -4.353E-16 -8.6785E-

3.88301E-14 2.92482E-15 2.20307E-16 1.65943E-17 1.24994E-18 9.41496E-20 7.09167E-21 5.34169E-22 4.02354E-23 3.03067E-24 2.2828E-

2.3332E-20 5.28213E-22 1.19582E-23 2.70722E-25 6.12888E-27 1.38752E-28 3.1412E-30 7.11138E-32 1.60995E-33 3.64476E-35 8.25137E-

-7.2311E-27 -3.9141E-29 -2.1187E-31 -1.1468E-33 -6.2077E-36 -3.3602E-38 -1.8189E-40 -9.8454E-43 -5.3292E-45 -2.8847E-47 -1.5615E-

-3.004E-35 -3.0929E-38 -3.1843E-41 -3.2785E-44 -3.3755E-47 -3.4753E-50 -3.578E-53 -3.6839E-56 -3.7928E-59 -3.9049E-62 -4.0204E-

6.2466E-44 9.73133E-48 1.516E-51 2.36172E-55 3.67923E-59 5.73172E-63 8.9292E-67 1.39104E-70 2.16705E-74 3.37596E-78 5.25927E-0.259619822 0.242416457 0.226449113 0.211601882 0.197776543 0.184888687 0.172864734 0.161639687 0.151155459 0.14135963 0.1322045

20 21 22 23 24 25 26 27 28 29

112.4629266 113.022304 113.5452009 114.0340715 114.4911827 114.9186349 115.3183783 115.6922276 116.0418728 116.3688901 116.67475

107.6545405 108.1626493 108.6376211 109.0816852 109.4969008 109.8851757 110.2482815 110.5878663 110.9054655 111.2025106 111.48033

102.9320185 103.3897741 103.8176767 104.2177344 104.5918026 104.9415997 105.268722 105.5746543 105.8607797 106.128388 106.37868

20 21 22 23 24 25 26 27 28 29 0.056593994 0.049954406 0.044095053 0.038923838 0.034359661 0.030331072 0.026775092 0.02363619 0.020865387 0.018419477 0.0162603

117.642107 118.0477858 118.4057922 118.7217535 119.0006247 119.2467715 119.4640419 119.6558288 119.8251249 119.97457 120.10649

0.45103547 0.495197655 0.53774852 0.578329506 0.6166837 0.652645198 0.686126488 0.717105216 0.74561131 0.771715097 0.7955167


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13/65


14/65

27 28 29 30 31 32 33 34 35 36 37

0.209744554 0.197955753 0.186829547 0.176328695 0.166418049 0.157064436 0.148236548 0.13990484 0.13204141 0.12461996 0.117615

0 0 0 0 0 0 0 0 0 0

-2.6188E-07 -1.5559E-07 -9.2446E-08 -5.4927E-08 -3.2635E-08 -1.939E-08 -1.1521E-08 -6.845E-09 -4.067E-09 -2.4164E-09 -1.4357E-

0 0 0 0 0 0 0 0 0 0

2.20444E-18 5.19079E-19 1.22228E-19 2.87809E-20 6.77705E-21 1.59579E-21 3.75762E-22 8.8481E-23 2.0835E-23 4.9059E-24 1.1552E-

0 0 0 0 0 0 0 0 0 0

-8.2746E-35 -4.8612E-36 -2.8558E-37 -1.6778E-38 -9.8565E-40 -5.7905E-41 -3.4018E-42 -1.9985E-43 -1.1741E-44 -6.8975E-46 -4.0522E-0 0 0 0 0 0 0 0 0 0

1.26679E-56 1.1689E-58 1.07857E-60 9.95222E-63 9.18316E-65 8.47352E-67 7.81873E-69 7.2145E-71 6.657E-73 6.1426E-75 5.6679E-

0.209744292 0.197955597 0.186829454 0.17632864 0.166418016 0.157064417 0.148236536 0.13990483 0.13204141 0.12461995 0.117615

0.267054727 0.252044894 0.237878649 0.224508597 0.211889999 0.199980626 0.18874062 0.17813236 0.16812034 0.15867105 0.149752

31 32 33 34 35 36 37 38 39 40

108.153521 108.8811837 109.5679481 110.2161128 110.8278471 111.4051987 111.9501 112.464375 112.949745 113.407834 113.8401

22 23 24 25 26 27 28 29 30 31

0.123608931 0.115618952 0.108145439 0.101155007 0.094616431 0.088500504 0.082779904 0.07742908 0.072424128 0.067742693 0.0633638


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3.7536E-05 2.63589E-05 1.85101E-05 1.29983E-05 9.12783E-06 6.40984E-06 4.50119E-06 3.16087E-06 2.21966E-06 1.55871E-06 1.09458E-

-7.7179E-10 -3.2398E-10 -1.36E-10 -5.709E-11 -2.3965E-11 -1.006E-11 -4.2229E-12 -1.7727E-12 -7.4414E-13 -3.1237E-13 -1.3113E-

-1.7302E-17 -3.4494E-18 -6.8769E-19 -1.371E-19 -2.7334E-20 -5.4494E-21 -1.0864E-21 -2.1659E-22 -4.3182E-23 -8.6089E-24 -1.7163E-

1.71948E-26 1.29517E-27 9.7557E-29 7.34832E-30 5.53501E-31 4.16916E-32 3.14035E-33 2.36542E-34 1.78171E-35 1.34205E-36 1.01088E-

1.86803E-38 4.22903E-40 9.57411E-42 2.16748E-43 4.90697E-45 1.11089E-46 2.51494E-48 5.69358E-50 1.28897E-51 2.9181E-53 6.6063E-

-8.4521E-52 -4.5751E-54 -2.4765E-56 -1.3405E-58 -7.256E-61 -3.9276E-63 -2.126E-65 -1.1508E-67 -6.2292E-70 -3.3718E-72 -1.8251E-

-4.1393E-68 -4.2617E-71 -4.3877E-74 -4.5175E-77 -4.6511E-80 -4.7886E-83 -4.9302E-86 -5.076E-89 -5.2261E-92 -5.3807E-95 -5.5398E-

8.1932E-86 1.27638E-89 1.98843E-93 3.09769E-97 4.8258E-101 7.5179E-105 1.1712E-108 1.8245E-112 2.8424E-116 4.428E-120 6.8982E-10.123646467 0.115645311 0.108163949 0.101168006 0.094625559 0.088506913 0.082784406 0.077432241 0.072426348 0.067744251 0.0633649

31 32 33 34 35 36 37 38 39 40

116.9608262 117.2284012 117.4786737 117.7127642 117.93172 118.1365204 118.3280811 118.507258 118.674853 118.831614 118.97824

111.7401941 111.983245 112.2105793 112.4232146 112.6221025 112.8081323 112.9821358 113.144891 113.297125 113.439518 113.5727

106.6127874 106.8317522 107.0365579 107.2281213 107.4072995 107.574894 107.7316539 107.87828 108.015428 108.14371 108.26

31 32 33 34 35 36 37 38 39 40 0.014354329 0.012671764 0.011186438 0.009875226 0.008717714 0.007695883 0.006793826 0.0059975 0.00529452 0.00467394 0.00412

120.2229505 120.3257552 120.4165086 120.4966237 120.5673477 120.6297816 120.6848972 120.733552 120.776505 120.814422 120.8478

0.817137323 0.836711089 0.854379587 0.870286746 0.88457522 0.897383661 0.908844786 0.919084082 0.928219014 0.936358632 0.9436034


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17/65


18/65

38 39 40 41 42 43 44 45 46 47 48

0.11100498 0.10476589 0.09887747 0.09332001 0.08807491 0.08312461 0.07845255 0.07404308 0.06988145 0.06595373 0.062246

0 0 0 0 0 0 0 0 0 0

-8.5302E-10 -5.0682E-10 -3.0113E-10 -1.7892E-10 -1.063E-10 -6.316E-11 -3.7527E-11 -2.2297E-11 -1.3248E-11 -7.8711E-12 -4.6766E-

0 0 0 0 0 0 0 0 0 0

2.7201E-25 6.4051E-26 1.5082E-26 3.5514E-27 8.3625E-28 1.9691E-28 4.6367E-29 1.0918E-29 2.5709E-30 6.0536E-31 1.4254E-

0 0 0 0 0 0 0 0 0 0

-2.3806E-48 -1.3985E-49 -8.2162E-51 -4.8269E-52 -2.8357E-53 -1.6659E-54 -9.787E-56 -5.7497E-57 -3.3778E-58 -1.9844E-59 -1.1658E-0 0 0 0 0 0 0 0 0 0

5.2299E-79 4.8258E-81 4.4529E-83 4.1088E-85 3.7913E-87 3.4983E-89 3.228E-91 2.9785E-93 2.7484E-95 2.536E-97 2.34E-

0.11100498 0.10476589 0.09887746 0.09332001 0.08807491 0.08312461 0.07845255 0.07404308 0.06988145 0.06595373 0.062246

0.14133593 0.13339207 0.1258947 0.11881872 0.11214045 0.10583754 0.09988889 0.09427458 0.08897583 0.0839749 0.079255

42 43 44 45 46 47 48 49 50 51

114.248218 114.633326 114.996789 115.339823 115.663577 115.969134 116.257517 116.529691 116.786568 117.029006 117.2578

33 34 35 36 37 38 39 40 41 42

0.059268073 0.05543703 0.05185363 0.04850185 0.04536673 0.04243427 0.03969135 0.03712573 0.03472596 0.0324813 0.030381


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7.68646E-07 5.3977E-07 3.7904E-07 2.6617E-07 1.8692E-07 1.3126E-07 9.2173E-08 6.4727E-08 4.5453E-08 3.1919E-08 2.2414E-

-5.5044E-14 -2.3106E-14 -9.6995E-15 -4.0716E-15 -1.7092E-15 -7.1747E-16 -3.0118E-16 -1.2643E-16 -5.3072E-17 -2.2278E-17 -9.3519E-

-3.4218E-25 -6.8218E-26 -1.36E-26 -2.7114E-27 -5.4057E-28 -1.0777E-28 -2.1486E-29 -4.2835E-30 -8.5399E-31 -1.7026E-31 -3.3943E-

7.61426E-39 5.7353E-40 4.32E-41 3.254E-42 2.451E-43 1.8462E-44 1.3906E-45 1.0475E-46 7.8898E-48 5.9429E-49 4.4764E-

1.4956E-56 3.3859E-58 7.6653E-60 1.7354E-61 3.9287E-63 8.8941E-65 2.0135E-66 4.5585E-68 1.032E-69 2.3363E-71 5.2892E-

-9.8793E-77 -5.3476E-79 -2.8946E-81 -1.5668E-83 -8.4813E-86 -4.5908E-88 -2.485E-90 -1.3451E-92 -7.281E-95 -3.9412E-97 -2.133E-

-5.704E-101 -5.872E-104 -6.046E-107 -6.225E-110 -6.409E-113 -6.598E-116 -6.793E-119 -6.994E-122 -7.201E-125 -7.414E-128 -7.633E-1

1.0746E-127 1.674E-131 2.608E-135 4.063E-139 6.33E-143 9.861E-147 1.536E-150 2.393E-154 3.728E-158 5.808E-162 9.048E-10.059268842 0.05543757 0.05185401 0.04850212 0.04536692 0.0424344 0.03969144 0.0371258 0.034726 0.03248133 0.030381

42 43 44 45 46 47 48 49 50 51

119.115391 119.243675 119.363666 119.475902 119.580882 119.679077 119.770924 119.856835 119.937192 120.012355 120.0826

113.697286 113.813812 113.922806 114.024755 114.120114 114.209309 114.292738 114.370774 114.443767 114.512041 114.5759

108.375933 108.480912 108.579105 108.670951 108.756859 108.837215 108.912377 108.98268 109.048438 109.109947 109.1674

42 43 44 45 46 47 48 49 50 51 0.00364247 0.00321553 0.00283863 0.00250591 0.00221219 0.00195289 0.00172399 0.00152192 0.00134353 0.00118606 0.001047

120.877445 120.903531 120.92656 120.946889 120.964835 120.980678 120.994664 121.007011 121.01791 121.027532 121.0360

0.950045707 0.955769369 0.960850797 0.965359068 0.969356491 0.972899123 0.976037275 0.978816009 0.981275617 0.983452066 0.9853774


20/65


21/65


22/65

49 50 51 52 53 54 55 56 57 58 59

0.05874815 0.05544618 0.0523298 0.04938858 0.04661267 0.04399278 0.04152014 0.03918648 0.03698398 0.03490528 0.032943

0 0 0 0 0 0 0 0 0 0

-2.7786E-12 -1.6509E-12 -9.8089E-13 -5.828E-13 -3.4627E-13 -2.0574E-13 -1.2224E-13 -7.2628E-14 -4.3152E-14 -2.5639E-14 -1.5233E-

0 0 0 0 0 0 0 0 0 0

3.3565E-32 7.9035E-33 1.861E-33 4.3822E-34 1.0319E-34 2.4298E-35 5.7214E-36 1.3472E-36 3.1723E-37 7.4698E-38 1.7589E-

0 0 0 0 0 0 0 0 0 0

-6.8489E-62 -4.0236E-63 -2.3638E-64 -1.3887E-65 -8.1582E-67 -4.7928E-68 -2.8157E-69 -1.6542E-70 -9.7179E-72 -5.7091E-73 -3.354E-0 0 0 0 0 0 0 0 0 0

2.159E-101 1.992E-103 1.838E-105 1.696E-107 1.565E-109 1.444E-111 1.333E-113 1.23E-115 1.135E-117 1.047E-119 9.661E-1

0.05874815 0.05544618 0.0523298 0.04938858 0.04661267 0.04399278 0.04152014 0.03918648 0.03698398 0.03490528 0.032943

0.07480047 0.07059627 0.06662837 0.06288349 0.05934909 0.05601334 0.05286509 0.04989378 0.04708947 0.04444278 0.041944

53 54 55 56 57 58 59 60 61 62

117.473771 117.677585 117.869943 118.05149 118.222833 118.384546 118.53717 118.681215 118.817164 118.945472 119.0665

44 45 46 47 48 49 50 51 52 53

0.02841789 0.02658098 0.02486281 0.02325569 0.02175247 0.0203464 0.01903123 0.01780107 0.01665042 0.01557415 0.014567


23/65

1.574E-08 1.1053E-08 7.7618E-09 5.4506E-09 3.8276E-09 2.6878E-09 1.8875E-09 1.3255E-09 9.3077E-10 6.5362E-10 4.5899E-

-3.9257E-18 -1.6479E-18 -6.9176E-19 -2.9039E-19 -1.219E-19 -5.117E-20 -2.148E-20 -9.0168E-21 -3.7851E-21 -1.5889E-21 -6.6698E-

-6.7671E-33 -1.3491E-33 -2.6897E-34 -5.3624E-35 -1.0691E-35 -2.1314E-36 -4.2492E-37 -8.4715E-38 -1.6889E-38 -3.3671E-39 -6.7129E-

3.3718E-51 2.5397E-52 1.913E-53 1.4409E-54 1.0854E-55 8.1754E-57 6.158E-58 4.6384E-59 3.4938E-60 2.6316E-61 1.9822E-

1.1974E-74 2.7108E-76 6.1371E-78 1.3894E-79 3.1454E-81 7.1209E-83 1.6121E-84 3.6496E-86 8.2624E-88 1.8705E-89 4.2347E-

-1.155E-101 -6.251E-104 -3.383E-106 -1.831E-108 -9.913E-111 -5.366E-113 -2.905E-115 -1.572E-117 -8.51E-120 -4.607E-122 -2.494E-1

-7.859E-134 -8.091E-137 -8.331E-140 -8.577E-143 -8.831E-146 -9.092E-149 -9.361E-152 -9.638E-155 -9.923E-158 -1.022E-160 -1.052E-1

1.41E-169 2.196E-173 3.421E-177 5.329E-181 8.302E-185 1.293E-188 2.015E-192 3.139E-196 4.89E-200 7.618E-204 1.187E-20.0284179 0.02658099 0.02486281 0.0232557 0.02175247 0.02034641 0.01903123 0.01780107 0.01665042 0.01557415 0.014567

53 54 55 56 57 58 59 60 61 62

120.148419 120.209929 120.267462 120.321277 120.371613 120.418695 120.462734 120.503926 120.542456 120.578495 120.6122

114.635635 114.691506 114.743767 114.792649 114.838372 114.881139 114.921141 114.958558 114.993557 115.026293 115.0569

109.221292 109.271627 109.318709 109.362747 109.403938 109.442467 109.478506 109.512215 109.543745 109.573237 109.6008

53 54 55 56 57 58 59 60 61 62 0.00092431 0.00081597 0.00072033 0.0006359 0.00056136 0.00049557 0.00043748 0.0003862 0.00034093 0.00030097 0.00026

121.043525 121.050144 121.055988 121.061147 121.065701 121.069721 121.07327 121.076403 121.079169 121.081611 121.0837

0.987080234 0.988585903 0.989916999 0.991093564 0.992133384 0.993052232 0.993864087 0.994581335 0.995214943 0.995774621 0.9962689


24/65


25/65


26/65

60 61 62 63 64 65 66 67 68 69 70

0.03109181 0.02934428 0.02769497 0.02613836 0.02466924 0.02328269 0.02197407 0.02073901 0.01957336 0.01847323 0.017434

0 0 0 0 0 0 0 0 0 0

-9.0509E-15 -5.3776E-15 -3.1951E-15 -1.8984E-15 -1.1279E-15 -6.7016E-16 -3.9818E-16 -2.3658E-16 -1.4056E-16 -8.3515E-17 -4.9621E-

0 0 0 0 0 0 0 0 0 0

4.1417E-39 9.7525E-40 2.2964E-40 5.4074E-41 1.2733E-41 2.9982E-42 7.0598E-43 1.6624E-43 3.9144E-44 9.2173E-45 2.1704E-

0 0 0 0 0 0 0 0 0 0

-1.9704E-75 -1.1576E-76 -6.8005E-78 -3.9952E-79 -2.3471E-80 -1.3789E-81 -8.1007E-83 -4.759E-84 -2.7958E-85 -1.6425E-86 -9.6493E-0 0 0 0 0 0 0 0 0 0

8.914E-124 8.225E-126 7.59E-128 7.003E-130 6.462E-132 5.963E-134 5.502E-136 5.077E-138 4.684E-140 4.322E-142 3.988E-1

0.03109181 0.02934428 0.02769497 0.02613836 0.02466924 0.02328269 0.02197407 0.02073901 0.01957336 0.01847323 0.017434

0.03958732 0.03736229 0.03526233 0.03328039 0.03140985 0.02964444 0.02797826 0.02640573 0.02492158 0.02352085 0.022198

64 65 66 67 68 69 70 71 72 73

119.180858 119.288725 119.390528 119.48661 119.577291 119.662876 119.74365 119.819885 119.891834 119.95974 120.0238

55 56 57 58 59 60 61 62 63 64

0.01362582 0.01274506 0.01192123 0.01115065 0.01042988 0.0097557 0.0091251 0.00853526 0.00798355 0.0074675 0.006984


27/65

3.2232E-10 2.2634E-10 1.5894E-10 1.1162E-10 7.838E-11 5.5041E-11 3.8651E-11 2.7142E-11 1.906E-11 1.3384E-11 9.399E-

-2.7998E-22 -1.1753E-22 -4.9336E-23 -2.071E-23 -8.6937E-24 -3.6494E-24 -1.5319E-24 -6.4308E-25 -2.6995E-25 -1.1332E-25 -4.7568E-

-1.3383E-40 -2.6682E-41 -5.3194E-42 -1.0605E-42 -2.1143E-43 -4.2151E-44 -8.4036E-45 -1.6754E-45 -3.3401E-46 -6.6591E-47 -1.3276E-

1.4931E-63 1.1246E-64 8.4712E-66 6.3808E-67 4.8063E-68 3.6202E-69 2.7269E-70 2.054E-71 1.5471E-72 1.1654E-73 8.7778E-

9.5869E-93 2.1704E-94 4.9135E-96 1.1124E-97 2.518E-99 5.701E-101 1.291E-102 2.922E-104 6.615E-106 1.498E-107 3.39E-1

-1.35E-126 -7.306E-129 -3.955E-131 -2.141E-133 -1.159E-135 -6.272E-138 -3.395E-140 -1.838E-142 -9.948E-145 -5.385E-147 -2.915E-1

-1.083E-166 -1.115E-169 -1.148E-172 -1.182E-175 -1.217E-178 -1.253E-181 -1.29E-184 -1.328E-187 -1.367E-190 -1.408E-193 -1.449E-1

1.849E-211 2.88E-215 4.487E-219 6.99E-223 1.089E-226 1.696E-230 2.643E-234 4.117E-238 6.414E-242 9.992E-246 1.557E-20.01362582 0.01274506 0.01192123 0.01115065 0.01042988 0.0097557 0.0091251 0.00853526 0.00798355 0.0074675 0.006984

64 65 66 67 68 69 70 71 72 73

120.643736 120.673228 120.700814 120.726617 120.750753 120.773328 120.794443 120.814194 120.832669 120.849949 120.8661

115.085554 115.112343 115.137401 115.160839 115.182762 115.203268 115.222449 115.240389 115.25717 115.272867 115.28754

109.626625 109.65076 109.673334 109.69445 109.7142 109.732674 109.749954 109.766117 109.781235 109.795375 109.8086

64 65 66 67 68 69 70 71 72 73 0.00023455 0.00020706 0.00018279 0.00016137 0.00014245 0.00012575 0.00011101 9.8003E-05 8.6516E-05 7.6375E-05 6.7423E-

121.085669 121.087349 121.088831 121.090141 121.091296 121.092316 121.093217 121.094012 121.094714 121.095333 121.095

0.996705559 0.997091144 0.997431657 0.997732355 0.997997883 0.998232347 0.998439375 0.998622172 0.998783571 0.998926074 0.9990518


28/65


29/65


30/65

71 72 73 74 75 76 77 78 79 80 81

0.01645499 0.01553013 0.01465725 0.01383344 0.01305592 0.01232211 0.01162953 0.01097589 0.01035899 0.00977675 0.009227

0 0 0 0 0 0 0 0 0 0

-2.9482E-17 -1.7517E-17 -1.0408E-17 -6.1837E-18 -3.6741E-18 -2.1829E-18 -1.297E-18 -7.7061E-19 -4.5786E-19 -2.7204E-19 -1.6163E-

0 0 0 0 0 0 0 0 0 0

5.1106E-46 1.2034E-46 2.8336E-47 6.6724E-48 1.5711E-48 3.6996E-49 8.7114E-50 2.0513E-50 4.8301E-51 1.1374E-51 2.6781E-

0 0 0 0 0 0 0 0 0 0

-5.6688E-89 -3.3303E-90 -1.9565E-91 -1.1494E-92 -6.7526E-94 -3.967E-95 -2.3305E-96 -1.3692E-97 -8.044E-99 -4.725E-100 -2.776E-10 0 0 0 0 0 0 0 0 0

3.68E-146 3.396E-148 3.133E-150 2.891E-152 2.668E-154 2.462E-156 2.271E-158 2.096E-160 1.934E-162 1.785E-164 1.647E-1

0.01645499 0.01553013 0.01465725 0.01383344 0.01305592 0.01232211 0.01162953 0.01097589 0.01035899 0.00977675 0.009227

0.02095115 0.01977358 0.0186622 0.01761328 0.01662331 0.01568899 0.01480718 0.01397494 0.01318947 0.01244815 0.011748

75 76 77 78 79 80 81 82 83 84

120.084316 120.141403 120.195281 120.246131 120.294123 120.339418 120.382167 120.422513 120.460592 120.49653 120.53044

66 67 68 69 70 71 72 73 74 75

0.00653332 0.00611101 0.005716 0.00534652 0.00500093 0.00467767 0.00437531 0.00409249 0.00382796 0.00358052 0.003349


31/65

6.6003E-12 4.6349E-12 3.2548E-12 2.2856E-12 1.605E-12 1.1271E-12 7.9148E-13 5.558E-13 3.903E-13 2.7408E-13 1.9247E-

-1.9968E-26 -8.3822E-27 -3.5187E-27 -1.4771E-27 -6.2003E-28 -2.6028E-28 -1.0926E-28 -4.5864E-29 -1.9253E-29 -8.0818E-30 -3.3926E-

-2.6468E-48 -5.2767E-49 -1.052E-49 -2.0973E-50 -4.1814E-51 -8.3362E-52 -1.662E-52 -3.3134E-53 -6.6057E-54 -1.317E-54 -2.6255E-

6.6118E-76 4.9802E-77 3.7513E-78 2.8256E-79 2.1283E-80 1.6031E-81 1.2075E-82 9.0955E-84 6.851E-85 5.1604E-86 3.887E-

7.676E-111 1.738E-112 3.934E-114 8.906E-116 2.016E-117 4.565E-119 1.033E-120 2.339E-122 5.296E-124 1.199E-125 2.714E-1

-1.578E-151 -8.54E-154 -4.623E-156 -2.502E-158 -1.354E-160 -7.331E-163 -3.968E-165 -2.148E-167 -1.163E-169 -6.294E-172 -3.407E-1

-1.492E-199 -1.536E-202 -1.582E-205 -1.628E-208 -1.677E-211 -1.726E-214 -1.777E-217 -1.83E-220 -1.884E-223 -1.94E-226 -1.997E-2

2.425E-253 3.778E-257 5.885E-261 9.168E-265 1.428E-268 2.225E-272 3.466E-276 5.4E-280 8.412E-284 1.311E-287 2.042E-20.00653332 0.00611101 0.005716 0.00534652 0.00500093 0.00467767 0.00437531 0.00409249 0.00382796 0.00358052 0.003349

75 76 77 78 79 80 81 82 83 84

120.88123 120.895371 120.908598 120.92097 120.932543 120.943367 120.953492 120.962962 120.97182 120.980105 120.9878

115.301281 115.314126 115.326141 115.337379 115.347891 115.357723 115.36692 115.375522 115.383568 115.391094 115.3981

109.820974 109.832546 109.84337 109.853495 109.862965 109.871822 109.880108 109.887857 109.895106 109.901886 109.9082

75 76 77 78 79 80 81 82 83 84

5.952E-05 5.2544E-05 4.6385E-05 4.0948E-05 3.6149E-05 3.1911E-05 2.8171E-05 2.4869E-05 2.1954E-05 1.9381E-05 1.7109E-

121.096363 121.09679 121.097166 121.097498 121.097791 121.09805 121.098279 121.09848 121.098659 121.098816 121.0989

0.999162974 0.999261047 0.999347633 0.999424076 0.999491563 0.999551145 0.999603745 0.999650183 0.999691179 0.999727372 0.9997593


32/65


33/65


34/65

82 83 84 85 86 87 88 89 90 91 92

0.00870862 0.00821915 0.00775719 0.00732119 0.0069097 0.00652134 0.0061548 0.00580887 0.00548238 0.00517424 0.004883

0 0 0 0 0 0 0 0 0 0

-9.6034E-20 -5.7059E-20 -3.3901E-20 -2.0143E-20 -1.1968E-20 -7.1106E-21 -4.2248E-21 -2.5102E-21 -1.4914E-21 -8.8613E-22 -5.2649E-

0 0 0 0 0 0 0 0 0 0

6.3062E-53 1.4849E-53 3.4965E-54 8.2333E-55 1.9387E-55 4.5651E-56 1.0749E-56 2.5312E-57 5.9601E-58 1.4034E-58 3.3047E-

0 0 0 0 0 0 0 0 0 0

-1.631E-102 -9.581E-104 -5.629E-105 -3.307E-106 -1.943E-107 -1.141E-108 -6.705E-110 -3.939E-111 -2.314E-112 -1.359E-113 -7.987E-10 0 0 0 0 0 0 0 0 0

1.519E-168 1.402E-170 1.294E-172 1.194E-174 1.101E-176 1.016E-178 9.378E-181 8.653E-183 7.984E-185 7.367E-187 6.798E-1

0.00870862 0.00821915 0.00775719 0.00732119 0.0069097 0.00652134 0.0061548 0.00580887 0.00548238 0.00517424 0.004883

0.01108816 0.01046495 0.00987676 0.00932163 0.0087977 0.00830322 0.00783654 0.00739608 0.00698038 0.00658804 0.006217

86 87 88 89 90 91 92 93 94 95

120.56246 120.592673 120.621188 120.648099 120.673499 120.69747 120.720095 120.741448 120.7616 120.78062 120.7985

77 78 79 80 81 82 83 84 85 86

0.0031326 0.00293011 0.00274071 0.00256355 0.00239785 0.00224285 0.00209788 0.00196227 0.00183543 0.00171679 0.001605


35/65

1.3516E-13 9.4912E-14 6.665E-14 4.6804E-14 3.2867E-14 2.308E-14 1.6208E-14 1.1381E-14 7.9924E-15 5.6125E-15 3.9413E-

-1.4241E-30 -5.9781E-31 -2.5095E-31 -1.0534E-31 -4.4221E-32 -1.8563E-32 -7.7922E-33 -3.271E-33 -1.3731E-33 -5.7639E-34 -2.4196E-

-5.2344E-56 -1.0436E-56 -2.0805E-57 -4.1478E-58 -8.2694E-59 -1.6486E-59 -3.2868E-60 -6.5528E-61 -1.3064E-61 -2.6045E-62 -5.1925E-

2.9278E-88 2.2053E-89 1.6611E-90 1.2512E-91 9.4247E-93 7.099E-94 5.3472E-95 4.0277E-96 3.0338E-97 2.2852E-98 1.721E-

6.145E-129 1.391E-130 3.15E-132 7.13E-134 1.614E-135 3.655E-137 8.273E-139 1.873E-140 4.24E-142 9.6E-144 2.173E-1

-1.844E-176 -9.982E-179 -5.403E-181 -2.925E-183 -1.583E-185 -8.569E-188 -4.639E-190 -2.511E-192 -1.359E-194 -7.357E-197 -3.982E-1

-2.056E-232 -2.117E-235 -2.179E-238 -2.244E-241 -2.31E-244 -2.379E-247 -2.449E-250 -2.521E-253 -2.596E-256 -2.673E-259 -2.752E-2

3.181E-295 4.955E-299 7.719E-303 1.202E-306 0 0 0 0 0 0 0.0031326 0.00293011 0.00274071 0.00256355 0.00239785 0.00224285 0.00209788 0.00196227 0.00183543 0.00171679 0.001605

86 87 88 89 90 91 92 93 94 95

120.995104 121.001884 121.008227 121.014159 121.019707 121.024898 121.029752 121.034293 121.03854 121.042513 121.0462

115.404718 115.410877 115.416638 115.422026 115.427067 115.431781 115.436191 115.440315 115.444173 115.447782 115.4511

109.91416 109.919709 109.924899 109.929753 109.934294 109.938541 109.942514 109.94623 109.949705 109.952956 109.9559

86 87 88 89 90 91 92 93 94 95

1.5104E-05 1.3333E-05 1.1771E-05 1.0391E-05 9.173E-06 8.0978E-06 7.1487E-06 6.3108E-06 5.5711E-06 4.9181E-06 4.3416E-

121.099077 121.099185 121.099281 121.099365 121.09944 121.099505 121.099563 121.099614 121.09966 121.0997 121.0997

0.99978753 0.999812432 0.999834415 0.999853822 0.999870955 0.99988608 0.999899432 0.999911219 0.999921625 0.999930811 0.999938


36/65


37/65


38/65

93 94 95 96 97 98 99 100 101 102 103

0.00460894 0.00434989 0.00410541 0.00387466 0.00365688 0.00345135 0.00325736 0.00307428 0.00290149 0.00273841 0.002584

0 0 0 0 0 0 0 0 0 0

-3.1282E-22 -1.8586E-22 -1.1043E-22 -6.5612E-23 -3.8983E-23 -2.3162E-23 -1.3762E-23 -8.1765E-24 -4.8581E-24 -2.8864E-24 -1.715E-

0 0 0 0 0 0 0 0 0 0

7.7815E-60 1.8323E-60 4.3145E-61 1.0159E-61 2.3922E-62 5.633E-63 1.3264E-63 3.1233E-64 7.3544E-65 1.7317E-65 4.0777E-

0 0 0 0 0 0 0 0 0 0

-4.692E-116 -2.757E-117 -1.619E-118 -9.514E-120 -5.589E-121 -3.283E-122 -1.929E-123 -1.133E-124 -6.658E-126 -3.911E-127 -2.298E-10 0 0 0 0 0 0 0 0 0

6.273E-191 5.788E-193 5.341E-195 4.928E-197 4.547E-199 4.196E-201 3.872E-203 3.572E-205 3.296E-207 3.042E-209 2.807E-2

0.00460894 0.00434989 0.00410541 0.00387466 0.00365688 0.00345135 0.00325736 0.00307428 0.00290149 0.00273841 0.002584

0.00586829 0.00553846 0.00522717 0.00493337 0.00465609 0.00439439 0.0041474 0.00391429 0.00369429 0.00348665 0.003290

97 98 99 100 101 102 103 104 105 106 1

120.815513 120.831503 120.846594 120.860837 120.874279 120.886966 120.898939 120.91024 120.920906 120.930972 120.9404

88 89 90 91 92 93 94 95 96 97

0.00150202 0.00140493 0.00131412 0.00122917 0.00114972 0.0010754 0.00100589 0.00094087 0.00088005 0.00082317 0.000769


39/65

2.7677E-15 1.9436E-15 1.3648E-15 9.5842E-16 6.7304E-16 4.7263E-16 3.3189E-16 2.3307E-16 1.6367E-16 1.1493E-16 8.0708E-

-1.0157E-34 -4.2636E-35 -1.7898E-35 -7.513E-36 -3.1538E-36 -1.3239E-36 -5.5574E-37 -2.3329E-37 -9.7928E-38 -4.1108E-38 -1.7256E-

-1.0352E-63 -2.0638E-64 -4.1146E-65 -8.2031E-66 -1.6354E-66 -3.2605E-67 -6.5002E-68 -1.2959E-68 -2.5836E-69 -5.1509E-70 -1.0269E-

1.297E-100 9.766E-102 7.356E-103 5.541E-104 4.173E-105 3.144E-106 2.368E-107 1.784E-108 1.343E-109 1.012E-110 7.622E-1

4.92E-147 1.114E-148 2.522E-150 5.709E-152 1.292E-153 2.926E-155 6.624E-157 1.5E-158 3.395E-160 7.686E-162 1.74E-1

-2.155E-201 -1.167E-203 -6.316E-206 -3.419E-208 -1.85E-210 -1.002E-212 -5.422E-215 -2.935E-217 -1.589E-219 -8.599E-222 -4.654E-2

-2.833E-265 -2.917E-268 -3.003E-271 -3.092E-274 -3.183E-277 -3.278E-280 -3.374E-283 -3.474E-286 -3.577E-289 -3.683E-292 -3.792E-2

0 0 0 0 0 0 0 0 0 0 0.00150202 0.00140493 0.00131412 0.00122917 0.00114972 0.0010754 0.00100589 0.00094087 0.00088005 0.00082317 0.000769

97 98 99 100 101 102 103 104 105 106 1

121.049704 121.052956 121.055996 121.058841 121.061501 121.06399 121.066317 121.068495 121.070531 121.072436 121.0742

115.454314 115.457267 115.46003 115.462613 115.46503 115.46729 115.469405 115.471382 115.473232 115.474962 115.4765

109.958842 109.961502 109.963991 109.966318 109.968495 109.970532 109.972437 109.974218 109.975885 109.977444 109.9789

97 98 99 100 101 102 103 104 105 106 1

3.8327E-06 3.3835E-06 2.9869E-06 2.6368E-06 2.3277E-06 2.0549E-06 1.814E-06 1.6014E-06 1.4137E-06 1.248E-06 1.1017E-

121.099766 121.099793 121.099817 121.099839 121.099858 121.099874 121.099889 121.099902 121.099914 121.099924 121.0999

0.999946079 0.999952399 0.999957979 0.999962904 0.999967252 0.99997109 0.999974479 0.99997747 0.999980111 0.999982442 0.99998


40/65


41/65


42/65

104 105 106 107 108 109 110 111 112 113 114

0.00243923 0.00230213 0.00217274 0.00205062 0.00193536 0.00182659 0.00172392 0.00162703 0.00153558 0.00144927 0.001367

0 0 0 0 0 0 0 0 0 0

-1.019E-24 -6.0541E-25 -3.5971E-25 -2.1372E-25 -1.2698E-25 -7.5447E-26 -4.4827E-26 -2.6634E-26 -1.5825E-26 -9.4022E-27 -5.5863E-

0 0 0 0 0 0 0 0 0 0

9.6019E-67 2.261E-67 5.3239E-68 1.2536E-68 2.9519E-69 6.9508E-70 1.6367E-70 3.854E-71 9.0749E-72 2.1369E-72 5.0317E-

0 0 0 0 0 0 0 0 0 0

-1.35E-129 -7.93E-131 -4.659E-132 -2.737E-133 -1.608E-134 -9.447E-136 -5.55E-137 -3.26E-138 -1.915E-139 -1.125E-140 -6.611E-10 0 0 0 0 0 0 0 0 0

2.59E-213 2.39E-215 2.205E-217 2.035E-219 1.877E-221 1.732E-223 1.598E-225 1.475E-227 1.361E-229 1.256E-231 1.159E-2

0.00243923 0.00230213 0.00217274 0.00205062 0.00193536 0.00182659 0.00172392 0.00162703 0.00153558 0.00144927 0.001367

0.00310573 0.00293117 0.00276642 0.00261093 0.00246418 0.00232568 0.00219497 0.0020716 0.00195516 0.00184527 0.001741

108 109 110 111 112 113 114 115 116 117 1

120.949438 120.957901 120.965888 120.973425 120.98054 120.987254 120.993591 120.999572 121.005216 121.010544 121.0155

99 100 101 102 103 104 105 106 107 108 1

0.00072019 0.00067364 0.00063009 0.00058936 0.00055127 0.00051564 0.0004823 0.00045113 0.00042197 0.00039469 0.000369


43/65

5.6676E-17 3.9799E-17 2.7948E-17 1.9626E-17 1.3782E-17 9.6782E-18 6.7964E-18 4.7726E-18 3.3515E-18 2.3535E-18 1.6527E-

-7.2438E-39 -3.0408E-39 -1.2765E-39 -5.3583E-40 -2.2493E-40 -9.4419E-41 -3.9635E-41 -1.6638E-41 -6.9842E-42 -2.9318E-42 -1.2307E-

-2.0473E-71 -4.0816E-72 -8.1373E-73 -1.6223E-73 -3.2343E-74 -6.4481E-75 -1.2855E-75 -2.5629E-76 -5.1096E-77 -1.0187E-77 -2.0309E-

5.741E-113 4.324E-114 3.257E-115 2.454E-116 1.848E-117 1.392E-118 1.049E-119 7.898E-121 5.949E-122 4.481E-123 3.375E-1

3.939E-165 8.918E-167 2.019E-168 4.571E-170 1.035E-171 2.343E-173 5.303E-175 1.201E-176 2.718E-178 6.154E-180 1.393E-1

-2.519E-226 -1.364E-228 -7.382E-231 -3.996E-233 -2.163E-235 -1.171E-237 -6.337E-240 -3.43E-242 -1.857E-244 -1.005E-246 -5.44E-2

-3.904E-298 -4.019E-301 -4.138E-304 -4.26E-307 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0.00072019 0.00067364 0.00063009 0.00058936 0.00055127 0.00051564 0.0004823 0.00045113 0.00042197 0.00039469 0.000369

108 109 110 111 112 113 114 115 116 117 1

121.075884 121.077443 121.078901 121.080265 121.081541 121.082734 121.08385 121.084894 121.08587 121.086784 121.0876

115.478095 115.479511 115.480835 115.482074 115.483232 115.484316 115.48533 115.486278 115.487165 115.487995 115.4887

109.980265 109.981541 109.982734 109.98385 109.984894 109.985871 109.986784 109.987638 109.988437 109.989185 109.9898

108 109 110 111 112 113 114 115 116 117 1

9.726E-07 8.586E-07 7.5796E-07 6.6912E-07 5.9069E-07 5.2145E-07 4.6033E-07 4.0638E-07 3.5874E-07 3.167E-07 2.7957E-

121.099941 121.099948 121.099954 121.099959 121.099964 121.099968 121.099972 121.099975 121.099978 121.099981 121.0999

0.999986317 0.999987921 0.999989336 0.999990586 0.99999169 0.999992664 0.999993524 0.999994283 0.999994953 0.999995544 0.9999960


44/65


45/65


46/65

115 116 117 118 119 120

0.00129094 0.00121838 0.0011499 0.00108527 0.00102427 0.0009667

0 0 0 0 0 0

-3.3191E-27 -1.9721E-27 -1.1717E-27 -6.9617E-28 -4.1363E-28 -2.4576E-28

0 0 0 0 0 0

1.1848E-73 2.7899E-74 6.5693E-75 1.5469E-75 3.6424E-76 8.5769E-77

0 0 0 0 0 0

-3.884E-143 -2.282E-144 -1.34E-145 -7.874E-147 -4.626E-148 -2.718E-1490 0 0 0 0 0

1.069E-235 9.865E-238 9.103E-240 8.4E-242 7.751E-244 7.152E-246

0.00129094 0.00121838 0.0011499 0.00108527 0.00102427 0.0009667

0.00164367 0.00155129 0.0014641 0.00138181 0.00130414 0.00123084

119 120

121.020317 121.024796

110 111 112 113 114 115 116 117 118 119 1

0.00034532 0.000323 0.00030212 0.00028259 0.00026432 0.00024724 0.00023126 0.00021631 0.00020233 0.00018925 0.000177


47/65

1.1606E-18 8.1499E-19 5.7231E-19 4.019E-19 2.8222E-19 1.9819E-19 1.3917E-19 9.7731E-20 6.863E-20 4.8194E-20 3.3843E-

-5.1662E-43 -2.1687E-43 -9.1036E-44 -3.8215E-44 -1.6042E-44 -6.734E-45 -2.8268E-45 -1.1866E-45 -4.9811E-46 -2.091E-46 -8.7774E-

-4.0489E-79 -8.0721E-80 -1.6093E-80 -3.2084E-81 -6.3964E-82 -1.2752E-82 -2.5424E-83 -5.0686E-84 -1.0105E-84 -2.0146E-85 -4.0164E-

2.542E-125 1.915E-126 1.442E-127 1.086E-128 8.184E-130 6.164E-131 4.643E-132 3.497E-133 2.634E-134 1.984E-135 1.495E-1

3.154E-183 7.14E-185 1.616E-186 3.659E-188 8.285E-190 1.876E-191 4.246E-193 9.613E-195 2.176E-196 4.927E-198 1.115E-1

-2.945E-251 -1.594E-253 -8.628E-256 -4.671E-258 -2.528E-260 -1.368E-262 -7.407E-265 -4.01E-267 -2.17E-269 -1.175E-271 -6.359E-2

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0.00034532 0.000323 0.00030212 0.00028259 0.00026432 0.00024724 0.00023126 0.00021631 0.00020233 0.00018925 0.000177

119 120

121.088437 121.089184

115.489497 115.490176

109.990538 109.991149

119 120

2.4681E-07 2.1788E-07

121.099985 121.099987

0.999996528 0.999996935


48/65

t 1 2 3 4 5 6

Cilindro fin. 0.50008874 0.48135135 0.43836007 0.38663283 0.33600484 0.29019176

CILINDRO FINITO

t 1 2 3 4 5 6

T3 121.1 103.369284 105.821831 107.942304 109.766497 111.333651T2 96.8517313 99.3943575 101.622122 103.548246 105.205247 106.628766

T1 93.1997579 95.4904121 97.4974069 99.2326544 100.725448 102.007898

y

0

20

40

60

80

100

120

140

0 20 40 60 80 100 120 140

AxisTitle

Axis Title

121.1


49/65

7 8 9 10 11 12 13

0.25005186 0.21534691 0.18549105 0.15984205 0.13780379 0.11885447 0.10254744

7 8 9 10 11 12 13

112.680188 113.837992 114.834352 115.692455 116.431983 117.069669 117.619777107.85189 108.903577 109.808617 110.588073 111.259821 111.839061 112.33875

103.10981 104.057277 104.872628 105.57484 106.180019 106.701857 107.152027

= 107.63e0.0014x

R = 0.5326

T3

Expon. (T3)

0

20

40

60

80

100

120

140

0 20 40

AxisTitle


50/65

14 15 16 17 18 19 20

0.0885032 0.07639963 0.06596286 0.05695946 0.04918998 0.04248357 0.03669363

14 15 16 17 18 19 20

118.094492 118.504254 118.858019 119.163485 119.427277 119.655098 119.851868112.769956 113.142162 113.463503 113.740973 113.980587 114.187528 114.366263

107.540501 107.875822 108.165318 108.415291 108.631159 108.817593 108.978615

y = 111.21e0.0005x

R = 0.2921

60 80 100 120 140

Axis Title

115.5

T2

Expon. (T2)


51/65

21 22 23 24 25 26 27

0.03169419 0.02737681 0.02364814 0.0204277 0.01764606 0.01524337 0.01316793

21 22 23 24 25 26 27

120.021826 120.16863 120.29544 120.404979 120.499603 120.581342 120.651952114.520643 114.653993 114.76918 114.86868 114.954631 115.028878 115.093017

109.117697 109.237832 109.341604 109.431243 109.508676 109.575566 109.633348

90

95

100

105

110

115

0 20 40 60

AxisTitle

Axis Title

1


52/65

28 29 30 31 32 33 34

0.01137513 0.00982647 0.00848868 0.00733304 0.00633473 0.00547234 0.00472736

28 29 30 31 32 33 34

120.712948 120.76564 120.811158 120.85048 120.884448 120.913792 120.939141115.148422 115.196285 115.237631 115.273349 115.304204 115.330858 115.353884

109.683263 109.726383 109.763632 109.79581 109.823607 109.84762 109.868364

y = 106.14e0.0004x

R = 0.2926

80 100 120 140

0

T1

Expon. (T1)


53/65

35 36 37 38 39 40 41

0.0040838 0.00352786 0.0030476 0.00263272 0.00227431 0.0019647 0.00169724

35 36 37 38 39 40 41

120.961039 120.979957 120.996298 121.010416 121.022611 121.033146 121.042247115.373776 115.390959 115.405803 115.418626 115.429704 115.439274 115.44754

109.886284 109.901765 109.915138 109.92669 109.93667 109.945292 109.952739


54/65

42 43 44 45 46 47 48

0.00146619 0.00126659 0.00109417 0.00094522 0.00081654 0.00070538 0.00060936

42 43 44 45 46 47 48

121.050109 121.056901 121.062768 121.067837 121.072215 121.075998 121.079265115.454682 115.460851 115.466181 115.470785 115.474762 115.478198 115.481166

109.959173 109.964731 109.969532 109.97368 109.977263 109.980358 109.983032


55/65

49 50 51 52 53 54 55

0.0005264 0.00045474 0.00039284 0.00033936 0.00029316 0.00025325 0.00021878

49 50 51 52 53 54 55

121.082088 121.084526 121.086633 121.088452 121.090024 121.091382 121.092556115.48373 115.485944 115.487858 115.489511 115.490939 115.492172 115.493238

109.985342 109.987337 109.989061 109.99055 109.991837 109.992948 109.993908


56/65

56 57 58 59 60 61 62

0.00018899 0.00016327 0.00014104 0.00012184 0.00010525 9.0925E-05 7.8547E-05

56 57 58 59 60 61 62

121.093569 121.094444 121.095201 121.095854 121.096419 121.096906 121.097327115.494158 115.494954 115.495641 115.496234 115.496747 115.49719 115.497572

109.994737 109.995454 109.996073 109.996607 109.997069 109.997468 109.997813


57/65

63 64 65 66 67 68 69

6.7854E-05 5.8617E-05 5.0637E-05 4.3744E-05 3.7789E-05 3.2645E-05 2.8201E-05

63 64 65 66 67 68 69

121.097691 121.098005 121.098277 121.098512 121.098714 121.098889 121.09904115.497903 115.498188 115.498435 115.498648 115.498832 115.498991 115.499128

109.998111 109.998368 109.99859 109.998782 109.998948 109.999091 109.999215


58/65

70 71 72 73 74 75 76

2.4362E-05 2.1045E-05 1.818E-05 1.5705E-05 1.3567E-05 1.172E-05 1.0125E-05

70 71 72 73 74 75 76

121.099171 121.099284 121.099381 121.099466 121.099538 121.099601 121.099655115.499247 115.49935 115.499438 115.499515 115.499581 115.499638 115.499687

109.999322 109.999414 109.999494 109.999563 109.999622 109.999674 109.999718


59/65

77 78 79 80 81 82 83

8.7465E-06 7.5558E-06 6.5272E-06 5.6386E-06 4.871E-06 4.2079E-06 3.6351E-06

77 78 79 80 81 82 83

121.099702 121.099743 121.099778 121.099808 121.099834 121.099857 121.099876115.49973 115.499766 115.499798 115.499826 115.499849 115.49987 115.499888

109.999756 109.99979 109.999818 109.999843 109.999864 109.999883 109.999899


60/65

84 85 86 87 88 89 90

3.1402E-06 2.7127E-06 2.3435E-06 2.0244E-06 1.7488E-06 1.5108E-06 1.3051E-06

84 85 86 87 88 89 90

121.099893 121.099908 121.09992 121.099931 121.09994 121.099949 121.099956115.499903 115.499916 115.499928 115.499937 115.499946 115.499953 115.49996

109.999913 109.999924 109.999935 109.999944 109.999951 109.999958 109.999964


61/65

91 92 93 94 95 96 97

1.1274E-06 9.7395E-07 8.4137E-07 7.2683E-07 6.2788E-07 5.4241E-07 4.6857E-07

91 92 93 94 95 96 97

121.099962 121.099967 121.099971 121.099975 121.099979 121.099982 121.099984115.499965 115.49997 115.499974 115.499978 115.499981 115.499983 115.499986

109.999969 109.999973 109.999977 109.99998 109.999983 109.999985 109.999987


62/65

98 99 100 101 102 103 104

4.0478E-07 3.4968E-07 3.0207E-07 2.6095E-07 2.2543E-07 1.9474E-07 1.6823E-07

98 99 100 101 102 103 104

121.099986 121.099988 121.09999 121.099991 121.099992 121.099993 121.099994115.499987 115.499989 115.499991 115.499992 115.499993 115.499994 115.499995

109.999989 109.99999 109.999992 109.999993 109.999994 109.999995 109.999995


63/65

105 106 107 108 109 110 111

1.4533E-07 1.2554E-07 1.0845E-07 9.3689E-08 8.0935E-08 6.9917E-08 6.0399E-08

105 106 107 108 109 110 111

121.099995 121.099996 121.099996 121.099997 121.099997 121.099998 121.099998115.499996 115.499996 115.499997 115.499997 115.499997 115.499998 115.499998

109.999996 109.999997 109.999997 109.999997 109.999998 109.999998 109.999998


64/65

112 113 114 115 116 117 118

5.2177E-08 4.5074E-08 3.8938E-08 3.3637E-08 2.9058E-08 2.5102E-08 2.1685E-08

112 113 114 115 116 117 118

121.099998 121.099998 121.099999 121.099999 121.099999 121.1 121.1115.499998 115.499999 115.499999 115.499999 115.499999 115.5 115.5

109.999999 109.999999 109.999999 109.999999 109.999999 110 110


65/65

119 120

1.8733E-08 1.6183E-08

119 120

121.1 121.1115.5 115.5

110 110

Documents

Cilindro Finito