Ejercicioex2 Ultimo
205
DATOS DEL PROBLEMA θ (radianes) 1.2915 L= 10.27 Tiempo Variable 0 a= 500 H 80 diametro= 1 0 V 14.82 Vo= 14.82 Re 14820000 ∆t= 0.017 f 0.00929 v= 0.000001 (viscosidad) H 80.0000 e/D= 0.0001 0.017 V 14.8633 Re 14863322.19 f 0.009284731 CALCULOS H 80.0000 0.034 V 14.9058 a/g= 50.9683996 Re 14905753.82 (a.∆t)/(2.g.D) = 0.4332314 f 0.009278004 H 80.0000 tiempo final = 30 segundos 0.051 V 14.9480 Re 14947982.51 f= 0.00929 f 0.009271345 H 80.0000 0.068 V 14.9907 Re 14990660.94 f 0.009264651 H 80.0000 0.085 V 15.0333 Re 15033262.32 f 0.009258005 H 80.0000 0.102 V 15.0791 Re 15079114.66 f 0.00925 H 80.000 0.119 V 15.1216 Re 15121566.34 f 0.009244341 H 80.00 0.136 V 15.164 Re 15163948.46 f 0.009237836 H 80.00 0.153 V 15.206 Re 15206058.44 f 0.009231407 H 80.00 0.170 V 15.2462 Re 15246152.89 f 0.009225316 H 80 0.187 V -14.29339107
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Transcript of Ejercicioex2 Ultimo
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DATOS DEL PROBLEMA
(radianes) 1.2915
L= 10.27 Tiempo Variable 0
a= 500 H 80
diametro= 1 0 V 14.82
Vo= 14.82 Re 14820000
t= 0.017 f 0.00929
v= 0.000001 (viscosidad) H 80.0000
e/D= 0.0001 0.017 V 14.8633
Re 14863322.19
f 0.009284731
CALCULOS H 80.0000
0.034 V 14.9058
a/g= 50.9683996 Re 14905753.82(a.t)/(2.g.D) = 0.4332314 f 0.009278004
H 80.0000
tiempo final = 30 segundos 0.051 V 14.9480
Re 14947982.51
f= 0.00929 f 0.009271345
H 80.0000
0.068 V 14.9907
Re 14990660.94
f 0.009264651
H 80.0000
0.085 V 15.0333
Re 15033262.32
f 0.009258005
H 80.0000
0.102 V 15.0791
Re 15079114.66
f 0.00925
H 80.000
0.119 V 15.1216
Re 15121566.34
f 0.009244341
H 80.00
0.136 V 15.164
Re 15163948.46
f 0.009237836
H 80.00
0.153 V 15.206
Re 15206058.44
f 0.009231407
H 80.00
0.170 V 15.2462
Re 15246152.89
f 0.009225316
H 80
0.187 V -14.29339107
-
Re 14293391.07
f 0.009378713
H 80
0.204 V -14.32701202
Re 14327012.02
f 0.009372974
H 80
0.221 V -14.36549469
Re 14365494.69
f 0.009366436
H 80
0.238 V -14.39966727
Re 14399667.27
f 0.009360657
H 80
0.255 V -14.44657788
Re 14446577.88
f 0.009352767
H 80
0.272 V -14.48059536
Re 14480595.36
f 0.009347076
H 80
0.289 V -14.52402161
Re 14524021.61
f 0.009339846
H 80
0.306 V -14.55788807
Re 14557888.07
f 0.009334237
H 80
0.323 V -14.60076501
Re 14600765.01
f 0.00932717
H 80
0.34 V -14.63441158
Re 14634411.58
f 0.009321651
H 80
0.357 V -14.686328
Re 14686328
f 0.009313183
H 80
0.374 V -14.72791462
Re 14727914.62
f 0.00930644
H 80
0.391 V -14.77876129
Re 14778761.29
f 0.009298244
-
H 80
0.408 V -14.82061447
Re 14820614.47
f 0.009291537
-
1.2915 0.8552 0.57596 0.3665 0.2269 0.08727
10.27 20.54 30.81 41.08 51.35 61.62
77.15 74.29 71.41 68.53 65.65 62.6
14.82 14.82 14.82 14.82 14.82 14.82
14820000 14820000 14820000 14820000 14820000 14820000
0.00929 0.00929 0.00929 0.00929 0.00929 0.00929
76.9288 74.0638 71.1938 68.3138 65.3488 62.4688
14.8582 14.8579 14.8581 14.8581 14.8598 14.8598
14858158.29 14857933.41 14858129.61 14858129.61 14859797.31 14859797.31
0.009285552 0.009285587 0.009285556 0.009285556 0.009285291 0.009285291
76.9522 73.8454 70.9671 68.0122 65.1322 62.2520
14.9009 14.8965 14.8965 14.8984 14.8984 14.8984
14900919.45 14896468.17 14896503.15 14898365.32 14898365.32 14898364.84
0.009278769 0.009279473 0.009279467 0.009279173 0.009279173 0.009279173
76.9415 73.8547 70.6632 67.7850 64.9148 62.0398
14.9435 14.9394 14.9366 14.9367 14.9369 14.9368
14943461.06 14939403.59 14936622.29 14936657.23 14936852.48 14936754.56
0.009272056 0.009272695 0.009273133 0.009273128 0.009273097 0.009273112
76.9275 73.7584 70.6718 67.5653 64.6921 61.8767
14.9859 14.9835 14.9795 14.9750 14.9750 14.9741
14985862.8 14983523.2 14979470.55 14975029.36 14974966.42 14974085.25
0.009265402 0.009265768 0.009266403 0.009267099 0.009267109 0.009267247
76.8421 73.7437 70.6594 67.5780 64.5266 817.6559
15.0301 15.0258 15.0218 15.0177 15.0122 0.1794
15030115.97 15025838.29 15021839.78 15017694.21 15012183.09 179351.9112
0.009258495 0.009259161 0.009259784 0.00926043 0.009261289 0.137548763
76.8414 73.7420 70.6489 67.6195 820.1849 819.3761
15.0726 15.0683 15.0640 15.0589 0.2290 0.1795
15072628.86 15068342.28 15063972.05 15058904.08 228979.8998 179482.3731
0.00925 0.00925 0.00925 0.00925 0.11222 0.13746
76.925 73.746 70.701 822.897 822.110 822.318
15.1167 15.1107 15.1053 0.2822 0.2331 0.1870
15116729.95 15110672.08 15105317.37 282192.3234 233132.3939 187001.1774
0.009245086 0.009246019 0.009246844 0.094478557 0.110561463 0.13282334
76.93 73.88 825.63 824.83 825.03 824.26
15.159 15.154 0.336 0.287 0.240 0.191
15158997.11 15153613.44 335868.0549 286517.4019 240198.0844 190848.4215
0.009238595 0.00923942 0.081993557 0.093310124 0.107865496 0.13058146
76.98 828.45 827.65 827.76 826.98 827.42
15.200 0.391 0.342 0.294 0.244 0.193
15200220.87 391208.6679 341824.76 293858.1168 244217.8579 193122.5168
0.009232296 0.072523952 0.080836176 0.091401107 0.106397247 0.129295808
831.18 830.38 830.58 829.80 830.16 829.37
0.4448 0.3955 0.3492 0.2995 0.2468 0.1972
444808.0615 395488.8682 349182.4749 299509.0244 246766.8815 197188.8713
0.065480401 0.071895693 0.079457882 0.089991535 0.105489514 0.127066468
833.0601961 833.314009 832.5304034 832.9743068 832.1858012 832.4605731
0.447996465 0.402766095 0.353157387 0.302075057 0.252463887 0.20141196
-
447996.4649 402766.0954 353157.3866 302075.0566 252463.8867 201411.9602
0.065111476 0.070856362 0.078735756 0.089367837 0.103523109 0.124840883
82.66894414 835.2055683 835.7042364 834.9189927 835.2783288 834.4882398
-14.32488639 0.40564955 0.355642999 0.306096568 0.25670398 0.207153012
14324886.39 405649.5498 355642.9989 306096.5681 256703.9803 207153.0116
0.009373336 0.07045425 0.078291908 0.08841016 0.102112893 0.121952335
82.68641558 85.59859824 837.5933136 838.0074243 837.220623 837.5701287
-14.35877266 -14.36142427 0.358573386 0.310256257 0.260770032 0.211599366
14358772.66 14361424.27 358573.3856 310256.2567 260770.0318 211599.3665
0.009367575 0.009367126 0.07777607 0.087444151 0.100801091 0.119816585
82.90527716 85.61562512 88.44264418 839.8941246 840.2984148 839.5082708
-14.40146055 -14.3952236 -14.39619818 0.31323151 0.265136003 0.215744512
14401460.55 14395223.6 14396198.18 313231.5104 265136.0035 215744.5117
0.009360355 0.009361407 0.009361243 0.086768009 0.099434677 0.117900138
82.90479426 85.7501407 88.45933018 91.27586012 842.1809772 842.8208259
-14.43554462 -14.43615791 -14.42991267 -14.43067919 0.268190673 0.215501876
14435544.62 14436157.91 14429912.67 14430679.19 268190.6734 215501.8762
0.009354619 0.009354516 0.009355565 0.009355436 0.098503544 0.118010407
82.82070158 85.74933805 88.58418329 91.29044272 94.34186537 844.9081103
-14.48069663 -14.47015674 -14.47056258 -14.46427433 -14.46964767 0.214538112
14480696.63 14470156.74 14470562.58 14464274.33 14469647.67 214538.1122
0.009347059 0.00934882 0.009348752 0.009349803 0.009348905 0.118450716
82.82032289 85.65584603 88.58129994 91.65081108 94.56320102 97.59182294
-14.51462769 -14.51501951 -14.50444167 -14.50945071 -14.50722135 -14.51213486
14514627.69 14515019.51 14504441.67 14509450.71 14507221.35 14512134.86
0.009341407 0.009341342 0.009343101 0.009342268 0.009342638 0.009341821
82.81075617 85.65338899 88.72337137 91.85451981 94.90122914 97.82411725
-14.5577652 -14.54883087 -14.55382188 -14.54730438 -14.55185439 -14.54983619
14557765.2 14548830.87 14553821.88 14547304.38 14551854.39 14549836.19
0.009334257 0.009335735 0.009334909 0.009335987 0.009335234 0.009335568
82.80862067 85.87908188 88.92732474 91.97452486 95.11590715 98.17686401
-14.59151082 -14.59648365 -14.59160423 -14.59613661 -14.5898351 -14.59465404
14591510.82 14596483.65 14591604.23 14596136.61 14589835.1 14594654.04
0.009328692 0.009327874 0.009328676 0.009327931 0.009328967 0.009328174
83.0435871 86.08317474 89.13087323 92.18943777 95.25087229 98.47673857
-14.63889767 -14.63419668 -14.63871128 -14.63404577 -14.63884684 -14.63421763
14638897.67 14634196.68 14638711.28 14634045.77 14638846.84 14634217.63
0.009320917 0.009321686 0.009320948 0.009321711 0.009320925 0.009321683
83.24957185 86.29600549 89.3459158 92.40783553 95.55090629 98.6134548
-14.67650693 -14.68103836 -14.67655091 -14.68133396 -14.67833739 -14.68314907
14676506.93 14681038.36 14676550.91 14681333.96 14678337.39 14683149.07
0.00931478 0.009314043 0.009314773 0.009313995 0.009314483 0.0093137
83.22764864 86.51292805 89.57357178 92.7079235 95.77095563 98.83069545
-14.72787148 -14.71877405 -14.72357364 -14.72075346 -14.72554711 -14.72092263
14727871.48 14718774.05 14723573.64 14720753.46 14725547.11 14720922.63
0.009306447 0.009307919 0.009307142 0.009307598 0.009306823 0.009307571
83.23875371 86.50609298 89.87546184 92.93721846 95.98832365 99.04750369
-14.76957825 -14.77031394 -14.76288774 -14.76769789 -14.76325104 -14.76795784
14769578.25 14770313.94 14762887.74 14767697.89 14763251.04 14767957.84
0.00929972 0.009299602 0.009300797 0.009300023 0.009300738 0.009299981
-
83.25371394 86.60233279 89.87054039 93.15646003 96.2143695 99.21177587
-14.82059867 -14.81359284 -14.81434383 -14.80529786 -14.81002119 -14.80453125
14820598.67 14813592.84 14814343.83 14805297.86 14810021.19 14804531.25
0.00929154 0.00929266 0.00929254 0.009293988 0.009293232 0.00929411
-
-0.0349 -0.157 -0.314 -0.4887
71.89 82.16 92.43 102.7
59.72 56.84 53.97 51.2
14.82 14.82 14.82 14.82
14820000 14820000 14820000 14820000
0.00929 0.00929 0.00929 0.00929
59.5038 56.6288 53.8038 808.5154
14.8581 14.8580 14.8570 0.0000
14858129.61 14858031.51 14856952.41 0
0.009285556 0.009285572 0.009285743 0.00929
59.3770 56.4671 810.6517 810.2290
14.8983 14.8955 0.0419 0.0000
14898266.83 14895522.97 41914.88213 0
0.009279188 0.009279623 0.477228941 0.00929
59.2145 813.0487 812.3808 812.7879
14.9357 0.0889 0.0422 0.0000
14935676.92 88946.22664 42218.92678 0
0.009273282 0.249333917 0.474245073 0.00929
815.3584 814.7753 815.1839 814.5325
0.1343 0.0892 0.0470 0.0000
134269.2254 89202.61356 47008.39436 0
0.175544238 0.248719863 0.432049798 0.00929
817.0827 817.4930 816.9260 817.5796
0.1345 0.0923 0.0470 0.0000
134479.9355 92318.10829 46960.67253 0
0.175311271 0.241514714 0.432430239 0.00929
819.7899 819.2328 819.8878 819.3193
0.1374 0.0922 0.0453 0.0000
137387.635 92224.71431 45285.94403 0
0.17217 0.24172 0.44626 0.00929
821.526 822.184 821.625 822.196
0.1372 0.0903 0.0452 0.0000
137214.0104 90342.12145 45240.2961 0
0.172349431 0.246030371 0.446648255 0.00929
824.71 823.92 824.49 823.93
0.140 0.090 0.045 0.000
139941.1371 90216.26602 45032.9075 0
0.169503621 0.24632428 0.448431119 0.00929
826.65 827.02 826.22 826.79
0.144 0.095 0.045 0.000
143835.0116 94617.36485 44952.73298 0
0.165616368 0.236483787 0.449124501 0.00929
829.73 828.95 829.31 828.51
0.1478 0.0986 0.0496 0.0000
147783.2379 98555.80802 49560.03413 0
0.161871781 0.228379977 0.412712993 0.00929
831.6721501 832.0209125 831.2437817 831.837938
0.151894114 0.102710376 0.053577589 0
-100
0
100
200
300
400
500
600
700
800
900
1000
0
Alt
ura
pie
zom
tri
ca (
m)
0
5
10
15
20
0
Ve
loci
dad
(m
/s)
-
151894.1136 102710.3756 53577.58898 0
0.1581677 0.220466169 0.385790548 0.00929
834.7531759 833.9613485 834.545574 833.9743472
0.156323469 0.106900323 0.053123818 0
156323.4694 106900.3228 53123.81754 0
0.154381955 0.213071995 0.388639375 0.00929
836.7766692 837.2771378 836.6907162 837.2530137
0.162143128 0.10672115 0.053295159 0
162143.128 106721.1498 53295.1586 0
0.149704064 0.213377011 0.387558319 0.00929
840.0933215 839.5053153 839.9833804 839.406888
0.161980882 0.108521652 0.053569796 0
161980.8817 108521.6524 53569.79569 0
0.149830195 0.210354993 0.385839092 0.00929
842.2361708 842.7988419 842.2202658 842.7135488
0.162107297 0.108813223 0.055198472 0
162107.297 108813.2228 55198.47211 0
0.149731899 0.20987446 0.375974474 0.00929
845.5256012 844.9504213 845.5277859 845.0334371
0.162318508 0.108768281 0.055215332 0
162318.5077 108768.2812 55215.33228 0
0.149567991 0.20994837 0.375875217 0.00929
847.6216318 848.2538464 847.7623751 848.3418165
0.161183697 0.108704798 0.053541763 0
161183.6969 108704.798 53541.76308 0
0.150453393 0.210052871 0.386013816 0.00929
100.8670204 850.4329045 851.0666604 850.4911148
-14.55501846 0.105941622 0.053461437 0
14555018.46 105941.6221 53461.43729 0
0.009334711 0.214715327 0.386515432 0.00929
101.1845663 104.2286071 853.1604595 853.7913064
-14.59430459 -14.5994971 0.052372543 0
14594304.59 14599497.1 52372.54309 0
0.009328232 0.009327378 0.393457897 0.00929
101.538811 104.4631928 107.5033935 855.8296117
-14.6390472 -14.63706382 -14.64216885 0
14639047.2 14637063.82 14642168.85 0
0.009320893 0.009321217 0.009320382 0.00929
101.7558189 104.8140334 107.6847213 -637.995707
-14.67689239 -14.68163495 -14.67860275 0
14676892.39 14681634.95 14678602.75 0
0.009314718 0.009313946 0.009314439 0.00929
101.889389 104.977851 -640.1857141 -639.6677892
-14.72564738 -14.71834782 -0.042967939 0
14725647.38 14718347.82 42967.93892 0
0.009306807 0.009307988 0.467063818 0.00929
102.0534866 -642.7669333 -641.8732465 -642.3755732
-14.76228952 -0.093614946 -0.043271073 0
14762289.52 93614.94641 43271.07255 0
0.009300893 0.238648582 0.464223953 0.00929
-20
-15
-10
-5
0
Ve
loci
dad
(m
/s)
-
-645.2634377 -644.4525223 -644.9557373 -644.0785545
-0.142602151 -0.093879967 -0.05062282 0
142602.1506 93879.96681 50622.81999 0
0.16682554 0.238072026 0.40520057 0.00929
-
20 40 60 80
Posicin de la tubera x (m)
Posicin vs altura piezomtrica
20 40 60 80
Velocidad vs altura piezomtrica
-
20 40 60 80
Posicin de la tubera x (m)
-
100 120
t=0 segundos
t=0.017 segundos
t=0.034 segundos
t=0.051 segundos
t=0.068 segundos
t=0.085 segundos
t=0.102 segundos
t=0.119 segundos
t=0.136 segundos
t=0.153 segundos
t=0.170 segundos
t=0.187 segundos
100 120
t=0 segundos
t=0.017 segundos
t=0.034 segundos
t=0.051 segundos
t=0.068 segundos
t=0.085 segundos
t=0.102 segundos
-
100 120t=0.102 segundos
t=0.119 segundos
t=0.136 segundos
t=0.153 segundos
t=0.170 segundos
t=0.187 segundos
-
DATOS DEL PROBLEMA
(radianes) 1.2915
L= 10.27 Tiempo Variable 0
a= 500 H 80
diametro= 1 0 V 14.82
Vo= 14.82 Re 14820000
t= 0.017 f 0.00929
v= 0.000001 (viscosidad) H 80.0000
e/D= 0.0001 0.017 V 14.8633
Re 14863322.19
f 0.009284731
CALCULOS H 80.0000
0.034 V 14.9058
a/g= 50.9683996 Re 14905753.82(a.t)/(2.g.D) = 0.4332314 f 0.009278004
H 80.0000
tiempo de cierre= 5 segundos 0.051 V 14.9480
tiempo final = 10 segundos Re 14947982.51
m= 1 f 0.009271345
(supongo m x q no se de donde sale) H 80.0000
0.068 V 14.9907
0.53171945 Re 14990660.94
f 0.009264651
H 80.0000
0.085 V 15.0333
Re 15033262.32
f 0.009258005
H 80.0000
0.102 V 15.0791
Re 15079114.66
f 0.00925
H 80.000
0.119 V 15.1216
Re 15121566.34
f 0.009244341
H 80.00
0.136 V 15.164
Re 15163948.46
f 0.009237836
H 80.00
0.153 V 15.206
Re 15206058.44
f 0.009231407
H 80.00
0.170 V 15.2462
Re 15246152.89
-
f 0.009225316
H 80
0.187 V -60.98409572
Re 60984095.72
f 0.007375126
H 80
0.204 V -61.06679636
Re 61066796.36
f 0.007374202
H 80
0.221 V -61.09740525
Re 61097405.25
f 0.00737386
H 80
0.238 V -61.18106363
Re 61181063.63
f 0.007372929
H 80
0.255 V -61.25590348
Re 61255903.48
f 0.007372098
H 80
0.272 V -61.33879762
Re 61338797.62
f 0.00737118
H 80
0.289 V -61.40479077
Re 61404790.77
f 0.00737045
H 80
0.306 V -61.48694488
Re 61486944.88
f 0.007369544
H 80
0.323 V -61.55127792
Re 61551277.92
f 0.007368837
H 80
0.34 V -61.6325362
Re 61632536.2
f 0.007367945
H 80
0.357 V -61.71807887
Re 61718078.87
f 0.007367008
H 80
-
0.374 V -61.81785643
Re 61817856.43
f 0.007365918
H 80
0.391 V -61.90026763
Re 61900267.63
f 0.007365021
H 80
0.408 V -62.00019831
Re 62000198.31
f 0.007363936
-
1.2915 0.8552 0.57596 0.3665 0.2269 0.08727 -0.0349
10.27 20.54 30.81 41.08 51.35 61.62 71.89
77.15 74.29 71.41 68.53 65.65 62.6 59.72
14.82 14.82 14.82 14.82 14.82 14.82 14.82
14820000 14820000 14820000 14820000 14820000 14820000 14820000
0.00929 0.00929 0.00929 0.00929 0.00929 0.00929 0.00929
76.9288 74.0638 71.1938 68.3138 65.3488 62.4688 59.5038
14.8582 14.8579 14.8581 14.8581 14.8598 14.8598 14.8581
14858158.29 14857933.41 14858129.61 14858129.61 14859797.31 14859797.31 14858129.61
0.009285552 0.009285587 0.009285556 0.009285556 0.009285291 0.009285291 0.009285556
76.9522 73.8454 70.9671 68.0122 65.1322 62.2520 59.3770
14.9009 14.8965 14.8965 14.8984 14.8984 14.8984 14.8983
14900919.45 14896468.17 14896503.15 14898365.32 14898365.32 14898364.84 14898266.83
0.009278769 0.009279473 0.009279467 0.009279173 0.009279173 0.009279173 0.009279188
76.9415 73.8547 70.6632 67.7850 64.9148 62.0398 59.2145
14.9435 14.9394 14.9366 14.9367 14.9369 14.9368 14.9357
14943461.06 14939403.59 14936622.29 14936657.23 14936852.48 14936754.56 14935676.92
0.009272056 0.009272695 0.009273133 0.009273128 0.009273097 0.009273112 0.009273282
76.9275 73.7584 70.6718 67.5653 64.6921 61.8767 2010.9800
14.9859 14.9835 14.9795 14.9750 14.9750 14.9741 -23.3238
14985862.8 14983523.2 14979470.55 14975029.36 14974966.42 14974085.25 23323825.85
0.009265402 0.009265768 0.009266403 0.009267099 0.009267109 0.009267247 0.008405922
76.8421 73.7437 70.6594 67.5780 64.5266 2012.4367 2013.9655
15.0301 15.0258 15.0218 15.0177 15.0122 -23.2622 -23.3484
15030115.97 15025838.29 15021839.78 15017694.21 15012183.09 23262247.67 23348360.79
0.009258495 0.009259161 0.009259784 0.00926043 0.009261289 0.008410128 0.008404251
76.8414 73.7420 70.6489 67.6195 2014.1293 2015.4164 2022.0499
15.0726 15.0683 15.0640 15.0589 -23.1962 -23.2868 -23.4047
15072628.86 15068342.28 15063972.05 15058904.08 23196209.57 23286828.91 23404718.54
0.00925 0.00925 0.00925 0.00925 0.00841 0.00841 0.00840
76.925 73.746 70.701 2016.009 2017.312 2023.727 2025.071
15.1167 15.1107 15.1053 -23.1267 -23.2167 -23.3386 -23.4300
15116729.95 15110672.08 15105317.37 23126678.05 23216734.84 23338593.18 23430035.8
0.009245086 0.009246019 0.009246844 0.008419462 0.00841325 0.008404916 0.008398716
76.93 73.88 2017.92 2019.20 2025.59 2026.95 2034.60
15.159 15.154 -23.057 -23.147 -23.269 -23.360 -23.506
15158997.11 15153613.44 23056778.48 23147002.48 23268980.62 23359860.1 23505516.64
0.009238595 0.00923942 0.008424315 0.008418056 0.008409667 0.00840347 0.008393632
76.98 2019.92 2021.19 2027.48 2028.82 2036.45 2037.82
15.200 -22.985 -23.075 -23.199 -23.290 -23.436 -23.527
15200220.87 22985309.2 23075443.36 23199001.01 23290045.91 23435788.39 23526658.97
0.009232296 0.008429306 0.008423017 0.00841447 0.008408226 0.008398327 0.008392213
2021.83 2023.10 2029.47 2030.80 2038.32 2039.67 2047.11
-22.9157 -23.0056 -23.1275 -23.2184 -23.3657 -23.4567 -23.5982
22915677.86 23005624.96 23127454.68 23218408.39 23365694.25 23456729.49 23598225.11
-
0.008434197 0.008427884 0.008419408 0.008413135 0.008403074 0.008396914 0.008387429
2024.958977 2031.364794 2032.69245 2040.285352 2041.631045 2048.96377 2050.332913
-22.93705761 -23.05774365 -23.14850912 -23.29403653 -23.38498025 -23.52802183 -23.61905113
22937057.61 23057743.65 23148509.12 23294036.53 23384980.25 23528021.83 23619051.13
0.008432692 0.008424248 0.008417952 0.008407954 0.008401765 0.008392122 0.008386042
94.7771218 2034.534203 2042.166563 2043.509029 2050.910692 2052.27155 2059.596099
-61.02132788 -23.07985924 -23.22421163 -23.31496692 -23.4562581 -23.54719556 -23.68959701
61021327.88 23079859.24 23224211.63 23314966.92 23456258.1 23547195.56 23689597.01
0.007374709 0.00842271 0.008412736 0.008406525 0.008396946 0.008390838 0.008381361
94.83237716 110.8556176 2045.333294 2052.774516 2054.13207 2061.525356 2062.89724
-61.10448264 -61.08380947 -23.24620147 -23.38632465 -23.47707353 -23.61772765 -23.70857601
61104482.64 61083809.47 23246201.47 23386324.65 23477073.53 23617727.65 23708576.01
0.007373782 0.007374012 0.008411227 0.008401674 0.008395544 0.00838613 0.008380106
95.97491675 110.9224791 126.7385843 2055.93903 2063.371727 2064.740236 2072.719508
-61.15727479 -61.16655814 -61.14197862 -23.40819781 -23.54768604 -23.63834578 -23.79002376
61157274.79 61166558.14 61141978.62 23408197.81 23547686.04 23638345.78 23790023.76
0.007373194 0.00737309 0.007373364 0.008400192 0.008390805 0.008384759 0.008374742
95.98655119 111.8617068 126.8174503 142.6083098 2066.529835 2074.54753 2076.432756
-61.24052308 -61.21495852 -61.22433153 -61.19944429 -23.56936029 -23.71985805 -23.82035031
61240523.08 61214958.52 61224331.53 61199444.29 23569360.29 23719858.05 23820350.31
0.007372269 0.007372553 0.007372448 0.007372725 0.008389355 0.008379361 0.008372753
95.78823388 111.885518 127.7352903 142.6949318 159.053161 2078.203384 2086.182218
-61.31090019 -61.29780993 -61.27194268 -61.28132056 -61.26775522 -23.75122514 -23.90045248
61310900.19 61297809.93 61271942.68 61281320.56 61267755.22 23751225.14 23900452.48
0.007371489 0.007371634 0.00737192 0.007371816 0.007371967 0.008377293 0.008367524
95.80027684 111.6702413 127.7670444 144.1819538 159.6509093 175.9547014 2089.863041
-61.39339661 -61.36731619 -61.35431662 -61.33973517 -61.35903408 -61.34450441 -23.93220327
61393396.61 61367316.19 61354316.62 61339735.17 61359034.08 61344504.41 23932203.27
0.007370576 0.007370864 0.007371008 0.007371169 0.007370956 0.007371117 0.00836546
95.78250351 111.6902532 128.123274 144.723235 161.0836834 176.5924645 192.9314847
-61.45853574 -61.44933748 -61.43450395 -61.43147585 -61.41593749 -61.43587006 -61.42214278
61458535.74 61449337.48 61434503.95 61431475.85 61415937.49 61435870.06 61422142.78
0.007369858 0.007369959 0.007370123 0.007370156 0.007370327 0.007370107 0.007370259
95.79035554 112.2412107 128.6510582 145.0297408 161.6650528 178.0603875 193.7875771
-61.54021418 -61.52513595 -61.52585935 -61.51007341 -61.50776211 -61.49302728 -61.51709228
61540214.18 61525135.95 61525859.35 61510073.41 61507762.11 61493027.28 61517092.28
0.007368958 0.007369124 0.007369116 0.00736929 0.007369315 0.007369477 0.007369213
96.35689227 112.7550843 129.1517251 145.5975275 162.0109018 178.8595256 195.258375
-61.615169 -61.61611595 -61.60008976 -61.60151305 -61.58652888 -61.58842049 -61.57386766
61615169 61616115.95 61600089.76 61601513.05 61586528.88 61588420.49 61573867.66
0.007368135 0.007368125 0.0073683 0.007368285 0.007368449 0.007368429 0.007368588
96.86100858 113.2714526 129.7055165 146.1366561 162.7957399 179.2125466 195.8742658
-61.70569384 -61.6895108 -61.69115428 -61.67592809 -61.68152503 -61.66672332 -61.66493333
61705693.84 61689510.8 61691154.28 61675928.09 61681525.03 61666723.32 61664933.33
0.007367143 0.00736732 0.007367302 0.007367469 0.007367408 0.00736757 0.007367589
96.81307157 113.815386 130.2601523 146.9067836 163.3412747 179.8148481 196.2241207
-
-61.78963806 -61.78012076 -61.76473563 -61.77053703 -61.75549372 -61.7574079 -61.74257221
61789638.06 61780120.76 61764735.63 61770537.03 61755493.72 61757407.9 61742572.21
0.007366226 0.00736633 0.007366498 0.007366435 0.007366599 0.007366578 0.00736674
96.85453896 113.8077567 131.0196922 147.4677451 163.9295753 180.3564905 196.714384
-61.88946075 -61.86420949 -61.85887827 -61.84367612 -61.84580705 -61.83073096 -61.83036075
61889460.75 61864209.49 61858878.27 61843676.12 61845807.05 61830730.96 61830360.75
0.007365138 0.007365413 0.007365471 0.007365637 0.007365614 0.007365778 0.007365782
96.89438068 114.0660057 131.0205361 148.0461504 164.4866016 180.8332101 #NUM!
-61.9720181 -61.96751583 -61.94248512 -61.93353939 -61.91830532 -61.91815917 #NUM!
61972018.1 61967515.83 61942485.12 61933539.39 61918305.32 61918159.17 #NUM!
0.007364241 0.00736429 0.007364562 0.007364659 0.007364825 0.007364826 #NUM!
-
-0.157 -0.314 -0.4887
82.16 92.43 102.7
56.84 53.97 51.2
14.82 14.82 14.82
14820000 14820000 14820000
0.00929 0.00929 0.00929
56.6288 53.8038 808.5154
14.8580 14.8570 -47.1137
14858031.51 14856952.41 47113715.36
0.009285572 0.009285743 0.007572732
56.4671 2007.9681 810.2290
14.8955 -23.4494 -47.1636
14895522.97 23449433.47 47163615.99
0.009279623 0.008397406 0.007571826
2009.5154 2010.9620 814.6654
-23.3857 -23.4739 -47.2926
23385730.72 23473943.18 47292562.02
0.008401714 0.008395755 0.007569494
2012.5050 2019.1593 816.4136
-23.4103 -23.5284 -47.3433
23410253.99 23528391.62 47343278.94
0.008400053 0.008392097 0.00756858
2020.6086 2022.1908 821.8440
-23.4664 -23.5537 -47.5005
23466391.8 23553653.31 47500470.34
0.008396263 0.008390406 0.007565758
2023.6359 2031.5158 823.5917
-23.4917 -23.6336 -47.5509
23491663.98 23633567.34 47550949.59
0.00839 0.00839 0.007564856
2032.940 2034.541 828.856
-23.5718 -23.6587 -47.7027
23571764.04 23658708.18 47702665.77
0.008389195 0.008383407 0.007562155
2035.96 2043.64 830.60
-23.597 -23.734 -47.753
23596949.91 23734427.69 47752921.42
0.008387514 0.0083784 0.007561264
2045.28 2046.65 835.85
-23.668 -23.759 -47.904
23668063.64 23759491.26 47903504.72
0.008382787 0.008376749 0.007558605
2048.50 2055.95 837.59
-23.6891 -23.8299 -47.9534
23689090.5 23829857.47 47953439.51
-100
0
100
200
300
400
500
600
700
800
900
1000
0 20
Alt
ura
pie
zom
tri
ca (
m)
5
10
15
20
Ve
loci
dad
(m
/s)
-
0.008381395 0.008372131 0.007557726
2057.756293 2059.157901 843.3099277
-23.75990905 -23.85068615 -48.1168088
23759909.05 23850686.15 48116808.83
0.008376721 0.008370769 0.007554864
2060.976332 2068.9875 845.464308
-23.78053739 -23.93245156 -48.178231
23780537.39 23932451.56 48178230.96
0.008375365 0.008365444 0.007553793
2070.808816 2072.707342 851.1388721
-23.86201471 -23.96281612 -48.3396412
23862014.71 23962816.12 48339641.24
0.008370029 0.008363475 0.007550989
2074.608899 2082.481906 853.315703
-23.89071878 -24.04288042 -48.4014173
23890718.78 24042880.42 48401417.31
0.008368158 0.008358306 0.007549921
2084.373287 2086.306828 859.0217297
-23.97075505 -24.07197418 -48.5629751
23970755.05 24071974.18 48562975.11
0.008362961 0.008356436 0.00754714
2088.111465 2096.103335 861.3682355
-24.00146782 -24.15236787 -48.6292572
24001467.82 24152367.87 48629257.25
0.008360976 0.00835129 0.007546004
2097.892967 2100.045282 867.0795176
-24.08192628 -24.18697372 -48.7902085
24081926.28 24186973.72 48790208.47
0.008355797 0.008349085 0.007543257
2101.777342 2109.8268 869.2629716
-24.11756261 -24.26715728 -48.8516009
24117562.61 24267157.28 48851600.88
0.008353514 0.008343998 0.007542214
210.1303409 2113.511338 874.9699962
-61.50354365 -24.29875068 -49.0117027
61503543.65 24298750.68 49011702.71
0.007369362 0.008342003 0.007539505
210.8023154 227.1377774 877.0491395
-61.59415269 -61.58056475 -49.0699001
61594152.69 61580564.75 49069900.07
0.007368366 0.007368515 0.007538524
212.2656242 227.6966399 -2899.74277
-61.65034529 -61.66825893 #NUM!
61650345.29 61668258.93 #NUM!
0.007367749 0.007367553 #NUM!
212.7690194 #NUM! -2903.62108
-20
-15
-10
-5
0
5
0 20
Ve
loci
dad
(m
/s)
-
-61.73850397 #NUM! #NUM!
61738503.97 #NUM! #NUM!
0.007366784 #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
-
20 40 60 80 100
Posicin de la tubera x (m)
Posicin vs altura piezomtrica
Velociidad vs altura piezomtrica
-
40 60 80 100
Posicin de la tubera x (m)
-
100 120
t=0 segundos
t=0.017 segundos
t=0.034 segundos
t=0.051 segundos
t=0.068 segundos
t=0.085 segundos
t=0.102 segundos
t=0.119 segundos
t=0.136 segundos
t=0.153 segundos
t=0.170 segundos
t=0.187 segundos
t=0 segundos
t=0.017 segundos
t=0.034 segundos
-
100 120
t=0.034 segundos
t=0.051 segundos
t=0.068 segundos
t=0.085 segundos
t=0.102 segundos
t=0.119 segundos
t=0.136 segundos
t=0.153 segundos
t=0.170 segundos
t=0.187 segundos
-
DATOS DEL PROBLEMA
(radianes)
Longitud de cada tramo = 10 Tiempo Variable
a= 500 H
diametro= 1 0 V
Vo= 14.82 Re
t= 0.017 f
v= 0.000001 (viscosidad) H
e/D= 0.0001 0.017 V
Re
f
CALCULOS H
0.034 V
a/g= 50.9683996 Re(a.t)/(2.g.D) = 0.4332314 f
H
tiempo final = 30 segundos 0.051 V
Re
f= 0.00929 f
H
0.068 V
Re
f
H
0.085 V
Re
f
H
0.102 V
Re
f
H
0.119 V
Re
f
-
0.7297 0.7297 0.7297 0.7297 0.7297 0.7297 0.7297
0 10 20 30 40 50 60
80 77.15 74.29 71.41 68.53 65.65 62.6
14.82 14.82 14.82 14.82 14.82 14.82 14.82
14820000 14820000 14820000 14820000 14820000 14820000 14820000
0.00929 0.00929 0.00929 0.00929 0.00929 0.00929 0.00929
80.0000 76.9770 74.1120 71.2420 68.3620 65.3970 62.5170
14.8619 14.8587 14.8590 14.8592 14.8592 14.8608 14.8608
14861865.9 14858668.8 14858963.1 14859159.3 14859159.3 14860827 14860827
0.00928496 0.00928547 0.00928542 0.00928539 0.00928539 0.00928513 0.00928513
80.0000 76.9614 73.9287 71.0637 68.1087 65.2287 62.3486
14.9039 14.9007 14.8977 14.8980 14.8999 14.8999 14.8999
14903857.6 14900746.1 14897748.5 14898042.5 14899904.7 14899904.7 14899904.3
0.0092783 0.0092788 0.00927927 0.00927922 0.00927893 0.00927893 0.00927893
80.0000 76.9508 73.9124 70.7950 67.9300 65.0598 62.1848
14.9462 14.9429 14.9397 14.9384 14.9387 14.9389 14.9388
14946164.3 14942850.3 14939742.3 14938412.9 14938706.5 14938901.9 14938804
0.00927163 0.00927215 0.00927264 0.00927285 0.0092728 0.00927277 0.00927279
80.0000 76.9502 73.8165 70.7783 67.7457 64.8856 62.0702
14.9884 14.9851 14.9834 14.9803 14.9773 14.9775 14.9766
14988399.5 14985073.1 14983426.1 14980321.6 14977330.5 14977526 14976645
0.00926501 0.00926553 0.00926578 0.00926627 0.00926674 0.00926671 0.00926685
80.0000 76.8649 73.8153 70.7663 67.7333 64.7557 817.7325
15.0306 15.0289 15.0256 15.0223 15.0191 15.0150 0.1857
15030557.1 15028886 15025563.5 15022256.7 15019058 15014995.2 185670.062
0.00925843 0.00925869 0.0092592 0.00925972 0.00926022 0.00926085 0.13361933
80.0000 76.8643 73.8139 70.7695 67.7754 820.2123 819.5270
15.0760 15.0710 15.0676 15.0642 15.0598 0.2343 0.1853
15075963.4 15070958.2 15067628.9 15064212.5 15059835.4 234325.296 185296.225
0.00925 0.00925 0.00925 0.00925 0.00925 0.11010 0.13384
80.000 76.948 73.818 70.822 822.878 822.177 822.556
15.1180 15.1146 15.1095 15.1051 0.2866 0.2373 0.1882
15117968.8 15114616.6 15109519.6 15105120.9 286636.249 237290.211 188239.172
0.0092449 0.00924541 0.0092462 0.00924687 0.09327848 0.10895674 0.13209253
-
0.7297 0.7297 0.7297 0.7297
70 80 90 100
59.72 56.84 53.97 51.2
14.82 14.82 14.82 14.82
14820000 14820000 14820000 14820000
0.00929 0.00929 0.00929 0.00929
59.5520 56.6770 53.8520 808.2696
14.8592 14.8591 14.8580 0.0000
14859159.3 14859061.2 14857982.1 0
0.00928539 0.00928541 0.00928558 0.00929
59.4735 56.5636 810.6163 810.0832
14.8998 14.8971 0.0460 0.0000
14899806.3 14897062.3 46042.4213 0
0.00927894 0.00927938 0.43989484 0.00929
59.3595 813.0505 812.4326 812.9621
14.9377 0.0938 0.0461 0.0000
14937726.5 93803.5129 46096.0238 0
0.00927296 0.23823804 0.43945141 0.00929
815.3976 814.8644 815.3958 814.7811
0.1399 0.0938 0.0477 0.0000
139856.667 93810.8375 47749.6802 0
0.1695902 0.23822212 0.42623208 0.00929
817.2093 817.7424 817.2125 817.8286
0.1398 0.0938 0.0477 0.0000
139819.61 93792.1838 47703.4111 0
0.16962822 0.23826266 0.42659023 0.00929
820.0768 819.5568 820.1747 819.6429
0.1396 0.0937 0.0460 0.0000
139595.076 93701.5429 46031.4287 0
0.16986 0.23846 0.43999 0.00929
821.874 822.509 821.987 822.520
0.1392 0.0918 0.0460 0.0000
139167.733 91823.7052 45987.0676 0
0.17030003 0.24262742 0.44035377 0.00929
-
DATOS DEL PROBLEMA
(radianes) 1.2915
L= 10.27 Tiempo Variable 0
a= 500 H 80
diametro= 1 0 V 14.82
Vo= 14.82 Re 14820000
t= 0.017 f 0.00929
v= 0.000001 (viscosidad) H 80.0000
e/D= 0.0001 0.017 V 14.8633
Re 14863322.2
f 0.00928473
CALCULOS H 80.0000
0.034 V 14.9058
a/g= 50.9683996 Re 14905753.8(a.t)/(2.g.D) = 0.4332314 f 0.009278
H 80.0000
tiempo de cierre= 5 segundos 0.051 V 14.9480
tiempo final = 10 segundos Re 14947982.5
m= 1 f 0.00927135
(supongo m x q no se de donde sale) H 80.0000
0.068 V 14.9907
0.53171945 Re 14990660.9
f 0.00926465
H 80.0000
0.085 V 15.0333
Re 15033262.3
f 0.00925801
H 80.0000
0.102 V 15.0791
Re 15079114.7
f 0.00925
H 80.000
0.119 V 15.1216
Re 15121566.3
f 0.00924434
H 80.00
0.136 V 15.164
Re 15163948.5
f 0.00923784
H 80.00
0.153 V 15.206
Re 15206058.4
f 0.00923141
H 80.00
0.170 V 15.2462
Re 15246152.9
-
f 0.00922532
H 80
0.187 V -60.9840957
Re 60984095.7
f 0.00737513
H 80
0.204 V -61.0667964
Re 61066796.4
f 0.0073742
H 80
0.221 V -61.0974052
Re 61097405.2
f 0.00737386
H 80
0.238 V -61.1810636
Re 61181063.6
f 0.00737293
H 80
0.255 V -61.2559035
Re 61255903.5
f 0.0073721
H 80
0.272 V -61.3387976
Re 61338797.6
f 0.00737118
H 80
0.289 V -61.4047908
Re 61404790.8
f 0.00737045
H 80
0.306 V -61.4869449
Re 61486944.9
f 0.00736954
H 80
0.323 V -61.5512779
Re 61551277.9
f 0.00736884
H 80
0.34 V -61.6325362
Re 61632536.2
f 0.00736794
H 80
0.357 V -61.7180789
Re 61718078.9
f 0.00736701
H 80
-
0.374 V -61.8178564
Re 61817856.4
f 0.00736592
H 80
0.391 V -61.9002676
Re 61900267.6
f 0.00736502
H 80
0.408 V -62.0001983
Re 62000198.3
f 0.00736394
-
1.2915 0.8552 0.57596 0.3665 0.2269 0.08727 -0.0349
10.27 20.54 30.81 41.08 51.35 61.62 71.89
77.15 74.29 71.41 68.53 65.65 62.6 59.72
14.82 14.82 14.82 14.82 14.82 14.82 14.82
14820000 14820000 14820000 14820000 14820000 14820000 14820000
0.00929 0.00929 0.00929 0.00929 0.00929 0.00929 0.00929
76.9288 74.0638 71.1938 68.3138 65.3488 62.4688 59.5038
14.8582 14.8579 14.8581 14.8581 14.8598 14.8598 14.8581
14858158.3 14857933.4 14858129.6 14858129.6 14859797.3 14859797.3 14858129.6
0.00928555 0.00928559 0.00928556 0.00928556 0.00928529 0.00928529 0.00928556
76.9522 73.8454 70.9671 68.0122 65.1322 62.2520 59.3770
14.9009 14.8965 14.8965 14.8984 14.8984 14.8984 14.8983
14900919.5 14896468.2 14896503.1 14898365.3 14898365.3 14898364.8 14898266.8
0.00927877 0.00927947 0.00927947 0.00927917 0.00927917 0.00927917 0.00927919
76.9415 73.8547 70.6632 67.7850 64.9148 62.0398 59.2145
14.9435 14.9394 14.9366 14.9367 14.9369 14.9368 14.9357
14943461.1 14939403.6 14936622.3 14936657.2 14936852.5 14936754.6 14935676.9
0.00927206 0.0092727 0.00927313 0.00927313 0.0092731 0.00927311 0.00927328
76.9275 73.7584 70.6718 67.5653 64.6921 61.8767 2010.9800
14.9859 14.9835 14.9795 14.9750 14.9750 14.9741 -23.3238
14985862.8 14983523.2 14979470.6 14975029.4 14974966.4 14974085.3 23323825.9
0.0092654 0.00926577 0.0092664 0.0092671 0.00926711 0.00926725 0.00840592
76.8421 73.7437 70.6594 67.5780 64.5266 2012.4367 2013.9655
15.0301 15.0258 15.0218 15.0177 15.0122 -23.2622 -23.3484
15030116 15025838.3 15021839.8 15017694.2 15012183.1 23262247.7 23348360.8
0.00925849 0.00925916 0.00925978 0.00926043 0.00926129 0.00841013 0.00840425
76.8414 73.7420 70.6489 67.6195 2014.1293 2015.4164 2022.0499
15.0726 15.0683 15.0640 15.0589 -23.1962 -23.2868 -23.4047
15072628.9 15068342.3 15063972.1 15058904.1 23196209.6 23286828.9 23404718.5
0.00925 0.00925 0.00925 0.00925 0.00841 0.00841 0.00840
76.925 73.746 70.701 2016.009 2017.312 2023.727 2025.071
15.1167 15.1107 15.1053 -23.1267 -23.2167 -23.3386 -23.4300
15116730 15110672.1 15105317.4 23126678.1 23216734.8 23338593.2 23430035.8
0.00924509 0.00924602 0.00924684 0.00841946 0.00841325 0.00840492 0.00839872
76.93 73.88 2017.92 2019.20 2025.59 2026.95 2034.60
15.159 15.154 -23.057 -23.147 -23.269 -23.360 -23.506
15158997.1 15153613.4 23056778.5 23147002.5 23268980.6 23359860.1 23505516.6
0.00923859 0.00923942 0.00842432 0.00841806 0.00840967 0.00840347 0.00839363
76.98 2019.92 2021.19 2027.48 2028.82 2036.45 2037.82
15.200 -22.985 -23.075 -23.199 -23.290 -23.436 -23.527
15200220.9 22985309.2 23075443.4 23199001 23290045.9 23435788.4 23526659
0.0092323 0.00842931 0.00842302 0.00841447 0.00840823 0.00839833 0.00839221
2021.83 2023.10 2029.47 2030.80 2038.32 2039.67 2047.11
-22.9157 -23.0056 -23.1275 -23.2184 -23.3657 -23.4567 -23.5982
22915677.9 23005625 23127454.7 23218408.4 23365694.2 23456729.5 23598225.1
-
0.0084342 0.00842788 0.00841941 0.00841313 0.00840307 0.00839691 0.00838743
2024.95898 2031.36479 2032.69245 2040.28535 2041.63104 2048.96377 2050.33291
-22.9370576 -23.0577437 -23.1485091 -23.2940365 -23.3849803 -23.5280218 -23.6190511
22937057.6 23057743.7 23148509.1 23294036.5 23384980.3 23528021.8 23619051.1
0.00843269 0.00842425 0.00841795 0.00840795 0.00840176 0.00839212 0.00838604
94.7771218 2034.5342 2042.16656 2043.50903 2050.91069 2052.27155 2059.5961
-61.0213279 -23.0798592 -23.2242116 -23.3149669 -23.4562581 -23.5471956 -23.689597
61021327.9 23079859.2 23224211.6 23314966.9 23456258.1 23547195.6 23689597
0.00737471 0.00842271 0.00841274 0.00840653 0.00839695 0.00839084 0.00838136
94.8323772 110.855618 2045.33329 2052.77452 2054.13207 2061.52536 2062.89724
-61.1044826 -61.0838095 -23.2462015 -23.3863246 -23.4770735 -23.6177277 -23.708576
61104482.6 61083809.5 23246201.5 23386324.6 23477073.5 23617727.7 23708576
0.00737378 0.00737401 0.00841123 0.00840167 0.00839554 0.00838613 0.00838011
95.9749168 110.922479 126.738584 2055.93903 2063.37173 2064.74024 2072.71951
-61.1572748 -61.1665581 -61.1419786 -23.4081978 -23.547686 -23.6383458 -23.7900238
61157274.8 61166558.1 61141978.6 23408197.8 23547686 23638345.8 23790023.8
0.00737319 0.00737309 0.00737336 0.00840019 0.0083908 0.00838476 0.00837474
95.9865512 111.861707 126.81745 142.60831 2066.52983 2074.54753 2076.43276
-61.2405231 -61.2149585 -61.2243315 -61.1994443 -23.5693603 -23.7198581 -23.8203503
61240523.1 61214958.5 61224331.5 61199444.3 23569360.3 23719858.1 23820350.3
0.00737227 0.00737255 0.00737245 0.00737272 0.00838936 0.00837936 0.00837275
95.7882339 111.885518 127.73529 142.694932 159.053161 2078.20338 2086.18222
-61.3109002 -61.2978099 -61.2719427 -61.2813206 -61.2677552 -23.7512251 -23.9004525
61310900.2 61297809.9 61271942.7 61281320.6 61267755.2 23751225.1 23900452.5
0.00737149 0.00737163 0.00737192 0.00737182 0.00737197 0.00837729 0.00836752
95.8002768 111.670241 127.767044 144.181954 159.650909 175.954701 2089.86304
-61.3933966 -61.3673162 -61.3543166 -61.3397352 -61.3590341 -61.3445044 -23.9322033
61393396.6 61367316.2 61354316.6 61339735.2 61359034.1 61344504.4 23932203.3
0.00737058 0.00737086 0.00737101 0.00737117 0.00737096 0.00737112 0.00836546
95.7825035 111.690253 128.123274 144.723235 161.083683 176.592465 192.931485
-61.4585357 -61.4493375 -61.4345039 -61.4314759 -61.4159375 -61.4358701 -61.4221428
61458535.7 61449337.5 61434503.9 61431475.9 61415937.5 61435870.1 61422142.8
0.00736986 0.00736996 0.00737012 0.00737016 0.00737033 0.00737011 0.00737026
95.7903555 112.241211 128.651058 145.029741 161.665053 178.060387 193.787577
-61.5402142 -61.5251359 -61.5258594 -61.5100734 -61.5077621 -61.4930273 -61.5170923
61540214.2 61525135.9 61525859.4 61510073.4 61507762.1 61493027.3 61517092.3
0.00736896 0.00736912 0.00736912 0.00736929 0.00736932 0.00736948 0.00736921
96.3568923 112.755084 129.151725 145.597527 162.010902 178.859526 195.258375
-61.615169 -61.6161159 -61.6000898 -61.601513 -61.5865289 -61.5884205 -61.5738677
61615169 61616115.9 61600089.8 61601513 61586528.9 61588420.5 61573867.7
0.00736814 0.00736812 0.0073683 0.00736828 0.00736845 0.00736843 0.00736859
96.8610086 113.271453 129.705517 146.136656 162.79574 179.212547 195.874266
-61.7056938 -61.6895108 -61.6911543 -61.6759281 -61.681525 -61.6667233 -61.6649333
61705693.8 61689510.8 61691154.3 61675928.1 61681525 61666723.3 61664933.3
0.00736714 0.00736732 0.0073673 0.00736747 0.00736741 0.00736757 0.00736759
96.8130716 113.815386 130.260152 146.906784 163.341275 179.814848 196.224121
-
-61.7896381 -61.7801208 -61.7647356 -61.770537 -61.7554937 -61.7574079 -61.7425722
61789638.1 61780120.8 61764735.6 61770537 61755493.7 61757407.9 61742572.2
0.00736623 0.00736633 0.0073665 0.00736643 0.0073666 0.00736658 0.00736674
96.854539 113.807757 131.019692 147.467745 163.929575 180.35649 196.714384
-61.8894608 -61.8642095 -61.8588783 -61.8436761 -61.8458071 -61.830731 -61.8303607
61889460.8 61864209.5 61858878.3 61843676.1 61845807.1 61830731 61830360.7
0.00736514 0.00736541 0.00736547 0.00736564 0.00736561 0.00736578 0.00736578
96.8943807 114.066006 131.020536 148.04615 164.486602 180.83321 #NUM!
-61.9720181 -61.9675158 -61.9424851 -61.9335394 -61.9183053 -61.9181592 #NUM!
61972018.1 61967515.8 61942485.1 61933539.4 61918305.3 61918159.2 #NUM!
0.00736424 0.00736429 0.00736456 0.00736466 0.00736482 0.00736483 #NUM!
-
-0.157 -0.314 -0.4887
82.16 92.43 102.7
56.84 53.97 51.2
14.82 14.82 14.82
14820000 14820000 14820000
0.00929 0.00929 0.00929
56.6288 53.8038 808.5154
14.8580 14.8570 -47.1137
14858031.5 14856952.4 47113715.36
0.00928557 0.00928574 0.007572732
56.4671 2007.9681 810.2290
14.8955 -23.4494 -47.1636
14895523 23449433.5 47163615.99
0.00927962 0.00839741 0.007571826
2009.5154 2010.9620 814.6654
-23.3857 -23.4739 -47.2926
23385730.7 23473943.2 47292562.02
0.00840171 0.00839575 0.007569494
2012.5050 2019.1593 816.4136
-23.4103 -23.5284 -47.3433
23410254 23528391.6 47343278.94
0.00840005 0.0083921 0.00756858
2020.6086 2022.1908 821.8440
-23.4664 -23.5537 -47.5005
23466391.8 23553653.3 47500470.34
0.00839626 0.00839041 0.007565758
2023.6359 2031.5158 823.5917
-23.4917 -23.6336 -47.5509
23491664 23633567.3 47550949.59
0.00839 0.00839 0.007564856
2032.940 2034.541 828.856
-23.5718 -23.6587 -47.7027
23571764 23658708.2 47702665.77
0.00838919 0.00838341 0.007562155
2035.96 2043.64 830.60
-23.597 -23.734 -47.753
23596949.9 23734427.7 47752921.42
0.00838751 0.0083784 0.007561264
2045.28 2046.65 835.85
-23.668 -23.759 -47.904
23668063.6 23759491.3 47903504.72
0.00838279 0.00837675 0.007558605
2048.50 2055.95 837.59
-23.6891 -23.8299 -47.9534
23689090.5 23829857.5 47953439.51
-
0.00838139 0.00837213 0.007557726
2057.75629 2059.1579 843.3099277
-23.759909 -23.8506861 -48.11680883
23759909 23850686.1 48116808.83
0.00837672 0.00837077 0.007554864
2060.97633 2068.9875 845.464308
-23.7805374 -23.9324516 -48.17823096
23780537.4 23932451.6 48178230.96
0.00837536 0.00836544 0.007553793
2070.80882 2072.70734 851.1388721
-23.8620147 -23.9628161 -48.33964124
23862014.7 23962816.1 48339641.24
0.00837003 0.00836348 0.007550989
2074.6089 2082.48191 853.315703
-23.8907188 -24.0428804 -48.40141731
23890718.8 24042880.4 48401417.31
0.00836816 0.00835831 0.007549921
2084.37329 2086.30683 859.0217297
-23.9707551 -24.0719742 -48.56297511
23970755.1 24071974.2 48562975.11
0.00836296 0.00835644 0.00754714
2088.11146 2096.10333 861.3682355
-24.0014678 -24.1523679 -48.62925725
24001467.8 24152367.9 48629257.25
0.00836098 0.00835129 0.007546004
2097.89297 2100.04528 867.0795176
-24.0819263 -24.1869737 -48.79020847
24081926.3 24186973.7 48790208.47
0.0083558 0.00834909 0.007543257
2101.77734 2109.8268 869.2629716
-24.1175626 -24.2671573 -48.85160088
24117562.6 24267157.3 48851600.88
0.00835351 0.008344 0.007542214
210.130341 2113.51134 874.9699962
-61.5035436 -24.2987507 -49.01170271
61503543.6 24298750.7 49011702.71
0.00736936 0.008342 0.007539505
210.802315 227.137777 877.0491395
-61.5941527 -61.5805647 -49.06990007
61594152.7 61580564.7 49069900.07
0.00736837 0.00736851 0.007538524
212.265624 227.69664 -2899.74277
-61.6503453 -61.6682589 #NUM!
61650345.3 61668258.9 #NUM!
0.00736775 0.00736755 #NUM!
212.769019 #NUM! -2903.621083
-
-61.738504 #NUM! #NUM!
61738504 #NUM! #NUM!
0.00736678 #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
#NUM! #NUM! #NUM!
-
Longitud 217.09 a 150 h 0
Lx 212.489 b 22 k 30
Tramos 50 Vo 18.72 D 2
x 4.24978 f 0.0114
x dx xi zi dz
1 4.24978 4.24978 -145.75022 5.19968679 5.19968679
2 4.24978 8.49956 -141.50044 7.30044362 2.10075683
3 4.24978 12.74934 -137.25066 8.87576491 1.5753213
4 4.24978 16.99912 -133.00088 10.1727538 1.2969889
5 4.24978 21.2489 -128.7511 11.2877646 1.11501076
6 4.24978 25.49868 -124.50132 12.2705065 0.98274192
7 4.24978 29.74846 -120.25154 13.1506662 0.88015971
8 4.24978 33.99824 -116.00176 13.9476774 0.79701121
9 4.24978 38.24802 -111.75198 14.6750939 0.72741647
10 4.24978 42.4978 -107.5022 15.3428175 0.66772356
11 4.24978 46.74758 -103.25242 15.9583428 0.61552537
12 4.24978 50.99736 -99.00264 16.527503 0.56916018
13 4.24978 55.24714 -94.75286 17.0549405 0.52743754
14 4.24978 59.49692 -90.50308 17.5444188 0.48947823
15 4.24978 63.7467 -86.2533 17.9990348 0.45461605
16 4.24978 67.99648 -82.00352 18.4213699 0.42233512
17 4.24978 72.24626 -77.75374 18.8135982 0.39222828
18 4.24978 76.49604 -73.50396 19.177567 0.36396881
19 4.24978 80.74582 -69.25418 19.5148576 0.33729059
20 4.24978 84.9956 -65.0044 19.8268316 0.31197395
21 4.24978 89.24538 -60.75462 20.1146669 0.28783532
22 4.24978 93.49516 -56.50484 20.3793864 0.2647195
23 4.24978 97.74494 -52.25506 20.6218803 0.2424939
24 4.24978 101.99472 -48.00528 20.8429244 0.22104406
25 4.24978 106.2445 -43.7555 21.0431945 0.20027017
26 4.24978 110.49428 -39.50572 21.2232789 0.18008438
27 4.24978 114.74406 -35.25594 21.3836875 0.16040859
28 4.24978 118.99384 -31.00616 21.5248602 0.14117268
29 4.24978 123.24362 -26.75638 21.6471733 0.12231313
30 4.24978 127.4934 -22.5066 21.750945 0.10377173
31 4.24978 131.74318 -18.25682 21.8364397 0.08549468
32 4.24978 135.99296 -14.00704 21.9038714 0.06743164
33 4.24978 140.24274 -9.75726 21.9534064 0.04953505
34 4.24978 144.49252 -5.50748 21.9851659 0.03175943
35 4.24978 148.7423 -1.2577 21.9992267 0.0140608
36 4.24978 152.99208 2.99208 21.9956228 -0.00360389
37 4.24978 157.24186 7.24186 21.9743455 -0.02127727
38 4.24978 161.49164 11.49164 21.9353434 -0.03900209
39 4.24978 165.74142 15.74142 21.8785217 -0.05682169
40 4.24978 169.9912 19.9912 21.8037411 -0.07478061
41 4.24978 174.24098 24.24098 21.710816 -0.09292511
-
42 4.24978 178.49076 28.49076 21.5995122 -0.11130378
43 4.24978 182.74054 32.74054 21.4695439 -0.12996829
44 4.24978 186.99032 36.99032 21.3205698 -0.14897414
45 4.24978 191.2401 41.2401 21.1521882 -0.16838155
46 4.24978 195.48988 45.48988 20.9639316 -0.18825659
47 4.24978 199.73966 49.73966 20.7552592 -0.20867244
48 4.24978 203.98944 53.98944 20.5255482 -0.22971096
49 4.24978 208.23922 58.23922 20.2740837 -0.25146458
50 4.24978 212.489 62.489 20.0000449 -0.27403872
L
0
0.01896
0.03791
0.05687
0.07583
0.09478
0.11374
0.13270
0.15166
0.17061
0.18957
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0.00120757
0.00128966
-
prom(dl) 4.46045151 a 200 t
cr 0.85
dl Hi lk
6.71545775 -0.885586501 50 6.71545775
4.74065494 -0.459094347 49.3163038 11.4561127
4.5323578 -0.354980563 48.8336609 15.9884705
4.44328823 -0.296211121 48.3722247 20.4317587
4.39361799 -0.256585823 47.9198565 24.8253767
4.36192752 -0.227250859 47.4725453 29.1873042
4.33996672 -0.2042199 47.0284604 33.527271
4.32387059 -0.185388289 46.5866113 37.8511416
4.31158495 -0.169522873 46.146401 42.1627265
4.30191641 -0.155845466 45.7074414 46.4646429
4.29412407 -0.143836771 45.2694662 50.758767
4.28772356 -0.133134759 44.8322844 55.0464905
4.2823849 -0.123477976 44.3957542 59.3288754
4.27787552 -0.114672018 43.9597675 63.606751
4.27402688 -0.106568749 43.5242399 67.8807778
4.27071388 -0.099052886 43.0891041 72.1514917
4.26784174 -0.09203306 42.6543056 76.4193335
4.26533742 -0.085435673 42.2197995 80.6846709
4.26314379 -0.079200583 41.7855484 84.9478147
4.26121553 -0.07327799 41.3515207 89.2090302
4.25951631 -0.067626183 40.9176892 93.4685465
4.25801673 -0.062209789 40.4840307 97.7265632
4.25669277 -0.056998535 40.0505249 101.983256
4.25552471 -0.05196623 39.6171539 106.238781
4.25449623 -0.047089995 39.1839019 110.493277
4.25359383 -0.042349653 38.7507545 114.746871
4.25280625 -0.037727241 38.317699 118.999677
4.25212415 -0.033206611 37.8847237 123.251801
4.25153979 -0.028773106 37.4518178 127.503341
4.25104677 -0.024413291 37.0189714 131.754388
4.25063988 -0.020114724 36.5861752 136.005028
4.25031494 -0.015865759 36.1534205 140.255343
4.25006868 -0.011655383 35.7206988 144.505411
4.24989867 -0.007473056 35.2880022 148.75531
4.24980326 -0.003308583 34.8553229 153.005113
4.24978153 0.000848018 34.4226533 157.254895
4.24983326 0.005006635 33.9899859 161.504728
4.24995897 0.009177179 33.5573133 165.754687
4.25015985 0.013369706 33.1246279 170.004847
4.25043788 0.017594534 32.691922 174.255285
4.25079582 0.021862379 32.2591878 178.50608
-
4.2512373 0.026184495 31.8264171 182.757318
4.2517669 0.030572829 31.3936016 187.009085
4.25239031 0.035040204 30.960732 191.261475
4.25311443 0.039600525 30.5277991 195.514589
4.25394765 0.04426902 30.0947924 199.768537
4.25490003 0.049062536 29.6617009 204.023437
4.25598369 0.053999887 29.2285124 208.279421
4.25721323 0.059102287 28.7952136 212.536634
4.25860626 0.064393885 28.3617896 216.79524
216.79524
0
0.01896
0.03791
0.05687
0.07583
0.09478
0.11374
0.13270
0.15166
0.17061
0.18957
0.20853
0.22748
0.24644
0.26540
0.28435
-0.8855865
-0.24230456
-0.12293789
-0.07614988
-0.05242573
-0.03852183
-0.0295781
-0.02343843
-0.01901612
-0.01571066
-0.01316624
-0.01116012
-0.00954658
-0.00822677
-
-0.00713148
-0.00621105
-0.00542899
-0.00475797
-0.00417717
-0.00367046
-0.0032252
-0.00283136
-0.00248088
-0.00216721
-0.00188499
-0.00162981
-0.00139797
-0.00118639
-0.00099245
-0.00081394
-0.00064895
-0.00049585
-0.00035321
-0.0002198
-9.4531E-05
2.3556E-05
0.00013532
0.00024151
0.00034283
0.00043991
0.00053331
0.00062358
0.00071122
0.00079669
0.00088047
0.000963
0.00104472
0.00112609
0.00120757
0.00128966
-
0.01896
-
tiempo H/V 4.24978 8.49956 12.74934 16.99912 21.2489
0
0.01896
0.03791
0.05687
0.07583
0.09478
0.11374
0.13270
0.15166
0.17061
0.18957
0.20853
0.22748
0.24644
0.26540
0.28435
0.30331
0.32227
0.34122
0.36018
z1Ho 50
z2 10
f 0.025
L 200
D 1
g 9.81
x 40
-
a 200
t 0.17
-0.10016742
-
25.49868 29.74846 33.99824 38.24802
-
DATOS DEL PROBLEMA
(radianes) -0.885586501
x 4.24978 Tiempo Variable 0
a= 200 H 50
diametro= 2 0 V 16.69
Vo= 16.69 Re 33380000
t= 0.0190 f 0.0167
v= 0.000001 (viscosidad) H 49.999987
e/D= 0.0005 0.01895692 V 16.6895
Lx 212.489 Re 33378920.14
dl(prom) 5.521134715 f 0.0167
CALCULOS H 49.999678
0.03791384 V 16.6873
a/g= 20.38735984 Re 33374628.78(a.t)/(2.g.D) = 0.096620382 f 0.0167
H 49.998956
tiempo final = 30 segundos 0.05687076 V 16.6860
Re 33371912.1
f 0.0114 f 0.0167
H 49.997821
t 0.07582768 V 16.6848
0 Re 33369676.85
0.046 f 0.0167
0.092 H 49.996275
0.138 0.09478459 V 16.6838
0.184 Re 33367676.35
0.23 f 0.0167
0.276 H 49.994315
0.322 0.11374151 V 16.6829
0.368 Re 33365719.56
0.414 f 0.0167
0.46 H 50.000000
0.506 0.13269843 V 16.6819
0.552 Re 33363816.5
0.598 f 0.0167
0.644 H 50.000000
0.69 0.15165535 V 16.6813
0.736 Re 33362664.23
0.782 f 0.0167
0.828 H 50.000000
0.874 0.17061227 V 16.6805
0.92 Re 33361003.58
0.966 f 0.0167
1.012 H 50.000000
1.058 0.18956919 V 16.6797
1.104 Re 33359320.66
-
f 0.0167
H 50.000000
Para hallar f se utilizo la aproximacion de CHEN 0.20852611 V 16.6788
Re 33357674.65
f 0.0167
H 50.000000
0.22748303 V 16.6780
Re 33355999.3
f 0.0167
H 50.000000
0.24643995 V 16.6772
Re 33354356.28
f 0.0167
H 50.000000
0.26539686 V 16.6763
Re 33352681.91
f 0.0167
H 50.000000
0.28435378 V 16.6755
Re 33351038.56
f 0.0167
H 50.000000
0.3033107 V 16.6747
Re 33349363.71
f 0.0167
H 50.000000
0.32226762 V 16.6739
Re 33347719.78
f 0.0167
H 50.000000
0.34122454 V 16.6730
Re 33346044.93
f 0.0167
H 50.000000
0.36018146 V 16.6722
Re 33344401.41
f 0.0167
H 50.000000
0.37913838 V 16.6714
Re 33342727.83
f 0.0167
H 50.000000
0.3980953 V 16.6705
Re 33341086.15
f 0.0167
H 50.000000
-
0.41705222 V 16.6697
Re 33339415.36
f 0.0167
H 50.000000
0.43600914 V 16.6689
Re 33337777.14
f 0.0167
H 50.000000
0.45496605 V 16.6681
Re 33336110.76
f 0.0167
H 50.000000
0.47392297 V 16.6672
Re 33334477.64
f 0.0167
H 50.000000
0.49287989 V 16.6664
Re 33332817.32
f 0.0167
H 50.000000
0.51183681 V 16.6656
Re 33331190.93
f 0.0167
H 50.000000
0.53079373 V 16.6648
Re 33329538.3
f 0.0167
H 50.000000
0.54975065 V 16.6640
Re 33327920.29
f 0.0167
H 50.000000
0.56870757 V 16.6631
Re 33326276.98
f 0.0167
H 50.000000
0.58766449 V 16.6623
Re 33324668.99
f 0.0167
H 50.000000
0.60662141 V 16.6615
Re 33323036.67
f 0.0167
H 50.000000
0.62557832 V 16.6607
Re 33321440.38
-
f 0.0167
H 50.000000
0.64453524 V 16.6599
Re 33319820.77
f 0.0167
H 50.000000
0.66349216 V 16.6591
Re 33318237.96
f 0.0167
H 50.000000
0.68244908 V 16.6583
Re 33316632.87
f 0.0167
H 50.000000
0.701406 V 16.6575
Re 33315065.41
f 0.0167
H 50.000000
0.72036292 V 16.6567
Re 33313476.82
f 0.0167
H 50.000000
0.73931984 V 16.6560
Re 33311926.8
f 0.0167
H 50.000000
0.75827676 V 16.6552
Re 33310356.89
f 0.0167
H 50.000000
0.77723368 V 16.6544
Re 33308826.62
f 0.0167
H 50.000000
0.79619059 V 16.6536
Re 33307277.87
f 0.0167
H 50.000000
0.81514751 V 16.6529
Re 33305770.02
f 0.0167
H 50.000000
0.83410443 V 16.6521
Re 33304245.32
f 0.0167
H 50.000000
-
0.85306135 V 16.6514
Re 33302763.05
f 0.0167
H 50.000000
0.87201827 V 16.6506
Re 33301265.84
f 0.0167
H 50.000000
0.89097519 V 16.6499
Re 33299812.93
f 0.0167
H 50.000000
0.90993211 V 16.6492
Re 33298347.42
f 0.0167
H 50.000000
0.92888903 V 16.6485
Re 33296928.57
f 0.0167
H 50.000000
0.94784595 V 16.6478
Re 33295500.04
f 0.0167
H 50.000000
0.96680286 V -15.6076
Re 31215287.14
f 0.0167
H 50.000000
0.98575978 V -15.6068
Re 31213658.64
f 0.0167
H 50.000000
1.0047167 V -15.5971
Re 31194283.82
f 0.0167
H 50.000000
1.02367362 V -15.5963
Re 31192646.66
f 0.0167
H 50.000000
1.04263054 V -15.5946
Re 31189292.81
f 0.0167
H 50.000000
1.06158746 V -15.5938
Re 31187651.66
-
f 0.0167
H 50.000000
1.08054438 V -15.5939
Re 31187790.58
f 0.0167
H 50.000000
1.0995013 V -15.5931
Re 31186149.89
f 0.0167
H 50.000000
1.11845822 V -15.5938
Re 31187663.59
f 0.0167
H 50.000000
1.13741514 V -15.5930
Re 31186027.35
f 0.0167
H 50.000000
1.15637205 V -15.5941
Re 31188234.1
f 0.0167
H 50.000000
1.17532897 V -15.5933
Re 31186606.01
f 0.0167
H 50.000000
1.19428589 V -15.5946
Re 31189216.39
f 0.0167
H 50.000000
1.21324281 V -15.5938
Re 31187600.03
f 0.0167
H 50.000000
1.23219973 V -15.5952
Re 31190469.37
f 0.0167
H 50.000000
1.25115665 V -15.5944
Re 31188868.36
f 0.0167
H 50.000000
1.27011357 V -15.5960
Re 31191916.51
f 0.0167
H 50.000000
-
1.28907049 V -15.5952
Re 31190334.63
f 0.0167
H 50.000000
1.30802741 V -15.5968
Re 31193514.13
f 0.0167
H 50.000000
1.32698432 V -15.5960
Re 31191955.52
f 0.0167
H 50.000000
1.34594124 V -15.5976
Re 31195237.33
f 0.0167
H 50.000000
1.36489816 V -15.5969
Re 31193706.67
f 0.0167
H 50.000000
1.38385508 V -15.5985
Re 31197073.04
f 0.0167
H 50.000000
1.402812 V -15.5978
Re 31195575.85
f 0.0167
H 50.000000
1.42176892 V -15.5995
Re 31199016.66
f 0.0167
H 50.000000
1.44072584 V -15.5988
Re 31197559.64
f 0.0167
H 50.000000
1.45968276 V -15.6005
Re 31201070.54
f 0.0167
H 50.000000
1.47863968 V -15.5998
Re 31199662.12
f 0.0167
H 50.000000
1.49759659 V -15.6016
Re 31203243.77
-
f 0.0167
H 50.000000
1.51655351 V -15.6009
Re 31201894.89
f 0.0167
H 50.000000
1.53551043 V -15.6028
Re 31205553.07
f 0.0167
H 50.000000
1.55446735 V -15.6021
Re 31204278.44
f 0.0167
H 50.000000
1.57342427 V -15.6040
Re 31208025.1
f 0.0167
H 50.000000
1.59238119 V -15.6034
Re 31206845.36
f 0.0167
H 50.000000
1.61133811 V -15.6054
Re 31210700.97
f 0.0167
H 50.000000
1.63029503 V -15.6048
Re 31209646.36
f 0.0167
H 50.000000
1.64925195 V -15.6068
Re 31213644.8
f 0.0167
H 50.000000
1.66820886 V -15.6064
Re 31212762.31
f 0.0167
H 50.000000
1.68716578 V -15.6085
Re 31216960.76
f 0.0167
H 50.000000
1.7061227 V -15.6082
Re 31216329.04
f 0.0167
H 50.000000
-
1.72507962 V -15.6104
Re 31220830.54
f 0.0167
H 50.000000
1.74403654 V -15.6103
Re 31220595.57
f 0.0167
H 50.000000
1.76299346 V -15.6128
Re 31225607.71
f 0.0167
H 50.000000
1.78195038 V -15.6130
Re 31226085.7
f 0.0167
H 50.000000
1.8009073 V -15.6161
Re 31232114.7
f 0.0167
H 50.000000
1.81986422 V -15.6171
Re 31234197.28
f 0.0167
H 50.000000
1.83882114 V -15.6215
Re 31243027.97
f 0.0167
H 50.000000
1.85777805 V -15.6256
Re 31251191.81
f 0.0167
H 50.000000
1.87673497 V -15.6409
Re 31281787.98
f 0.0167
H 50.000000
1.89569189 V -15.6630
Re 31325956.52
f 0.0167
50.000000
-15.6649
31329876.66
0.0167
50.000000
-15.6629
31325828.65
-
0.0167
50.000000
-15.6641
31328134.99
0.0167
50.000000
-15.6630
31325952.03
0.0167
-
-0.8855865 -0.24230456 -0.12293789 -0.07614988 -0.05242573 -0.03852183 -0.0295781
4.24978 8.49956 12.74934 16.99912 21.2489 25.49868 29.74846
49.3163 48.8337 48.3722 47.9199 47.4725 47.0285 46.5866
16.69 16.69 16.69 16.69 16.69 16.69 16.69
33380000 33380000 33380000 33380000 33380000 33380000 33380000
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5773 48.9862 48.4268 47.9501 47.4923 47.0425 46.5972
16.7007 16.6962 16.6916 16.6906 16.6901 16.6898 16.6897
33401383.2 33392302 33383246.9 33381100.9 33380187.7 33379691.1 33379380.8
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5855 49.2362 48.5751 48.0028 47.5216 47.0618 46.6111
16.6997 16.7074 16.6980 16.6923 16.6907 16.6900 16.6895
33399497.4 33414718.2 33395929.5 33384520.2 33381374 33379923.4 33379095.6
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5746 49.2404 48.8230 48.1500 47.5738 47.0909 46.6302
16.6981 16.7066 16.7092 16.6986 16.6924 16.6906 16.6897
33396253 33413229.8 33418494.9 33397273.4 33384833.5 33381131.3 33379339.1
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5701 49.2277 48.8264 48.3972 47.7206 47.1429 46.6592
16.6970 16.7051 16.7085 16.7099 16.6988 16.6923 16.6903
33393913.3 33410165.8 33417095.1 33419854.8 33397593.5 33384597.9 33380550.5
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5674 49.2223 48.8133 48.4003 47.9674 47.2896 46.7112
16.6959 16.7040 16.7070 16.7092 16.7101 16.6987 16.6920
33391836.2 33407915 33414079.9 33418480.2 33420157.5 33397346.4 33384013.8
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5652 49.2192 48.8077 48.3872 47.9705 47.5360 46.8577
16.6950 16.7029 16.7059 16.7077 16.7094 16.7099 16.6984
33389903.3 33405884.7 33411855.1 33415480.7 33418789.7 33419882.4 33396744.9
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5630 49.2168 48.8044 48.3816 47.9574 47.5391 47.1039
16.6940 16.7020 16.7049 16.7066 16.7079 16.7093 16.7096
33387972.4 33403976.8 33409839.1 33413263.7 33415795.6 33418515.7 33419249.7
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5647 49.2145 48.8020 48.3783 47.9518 47.5261 47.1070
16.6932 16.7010 16.7040 16.7056 16.7068 16.7078 16.7089
33386468.7 33402059.5 33407938.5 33411251.7 33413580.8 33415523.7 33417882.4
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5674 49.2161 48.7997 48.3759 47.9486 47.5205 47.0940
16.6925 16.7003 16.7030 16.7047 16.7058 16.7067 16.7074
33385049.8 33400562.1 33406024.9 33409352.8 33411569.6 33413309.4 33414891.8
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5674 49.2189 48.8014 48.3737 47.9463 47.5174 47.0885
16.6917 16.6996 16.7023 16.7037 16.7048 16.7056 16.7063
33383395.3 33399145.9 33404528.6 33407439.8 33409670.8 33411298.3 33412677.9
-
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5674 49.2189 48.8041 48.3754 47.9441 47.5151 47.0855
16.6909 16.6987 16.7016 16.7030 16.7039 16.7047 16.7053
33381715 33397492.1 33403112.2 33405943 33407757.7 33409399.5 33410667.2
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5674 49.2189 48.8042 48.3782 47.9458 47.5130 47.0832
16.6900 16.6979 16.7007 16.7023 16.7031 16.7037 16.7044
33380069.3 33395811.5 33401458 33404525.9 33406260.3 33407486.7 33408768.9
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5674 49.2190 48.8043 48.3783 47.9487 47.5147 47.0811
16.6892 16.6971 16.6999 16.7014 16.7024 16.7030 16.7034
33378393.2 33394164.8 33399776.9 33402871.3 33404842.8 33405989.2 33406857
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5675 49.2191 48.8044 48.3784 47.9488 47.5176 47.0829
16.6884 16.6962 16.6991 16.7006 16.7016 16.7023 16.7027
33376748.8 33392487.7 33398129.7 33401190 33403188.3 33404572 33405360.2
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5675 49.2191 48.8045 48.3786 47.9490 47.5178 47.0858
16.6875 16.6954 16.6982 16.6998 16.7008 16.7015 16.7020
33375073 33390842.3 33396452.3 33399542.8 33401507.5 33402918.3 33403943.9
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5676 49.2192 48.8046 48.3788 47.9492 47.5180 47.0860
16.6867 16.6946 16.6974 16.6989 16.6999 16.7006 16.7011
33373428.2 33389165.7 33394806.8 33397865.9 33399861.2 33401238.9 33402292
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
49.5676 49.2193 48.8048 48.3789 47.9494 47.5182 47.0863
16.6859 16.6938 16.6966 16.6981 16.6991 16.6998 16.7003
33371752.1 33387520.3 33393130.5 33396221.2 33398185.6 33399594.2 33400614.8
0.0167 0.0167 0.0167 0.0167 0.0167 0.0167 0.0167
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