Ejercicio No.2

tuberias l(m) D(cm) CH c Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m

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tuberias l(m) D(cm) CH c Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ

Circuito 1 12 23 34 45 56 500 200 400 300 200 30.48 25.4 25.4 25.4 25.4 100 100 100 100 100 0.0009461 0.00091962 0.00183925 0.00137943 0.00091962 60 60 90 -30 -60 1.84296434 1.79138772 7.58557343 -0.7453759 -1.7913877 0.03071607 0.02985646 0.08428415 0.02484586 0.02985646 -14.7965057084 45.2034943 45.2034943 37.5902608 -1.4498768 -74.796506 1.09145374 1.06090866 1.50844386 -0.0027426 -2.6933339 0.02414534 0.02346962 0.04012858 0.00189161 0.03600882 7.5006550625 52.7041494 52.7041494 55.1980582 7.16406397 -67.295851 1.44993994 1.40936238 3.07042719 0.05269216 -2.2150733 0.02751093 0.02674101 0.05562564 0.00735507 0.03291545 -2.9259945091 49.7781548 49.7781548 53.5814644 5.28236949 -70.221845 1.30454447 1.2680359 2.90614142 0.02998709 -2.396533 0.02620717 0.02547374 0.05423781 0.00567682 0.03412803 -0.4417887151 49.3363661 49.3363661 53.6012891 5.24928143 -70.663634 1.28320594 1.24729454 2.90813094 0.02964052 -2.4245007 0.02600933 0.02528144 0.05425487 0.00564659 0.03431044 -0.1456068689 49.1907593 49.1907593 53.8214499 5.12621538 -70.809241 1.27620853 1.24049295 2.93026738 0.02836777 -2.4337511 0.02594407 0.02521801 0.05444423 0.00553386 0.03437053 -0.1064117613 49.0843475 49.0843475 53.7353712 5.02123317 -70.915653 1.27110583 1.23553306 2.92160328 0.02730236 -2.4405217 0.02589636 0.02517163 0.05437021 0.00543738 0.03441443 -0.0059803444 49.0783672 49.0783672 53.730665 5.01534106 -70.921633 1.27081933 1.23525458 2.92112992 0.02724312 -2.4409024 0.02589368 0.02516902 0.05436616 0.00543196 0.0344169 -0.000371628 49.0779955 49.0779955 53.7303726 5.01497492 -70.922004 1.27080153 1.23523728 2.92110051 0.02723944 -2.4409261 0.02589351 0.02516886 0.05436591 0.00543162 0.03441705 -2.30792303586458E-05 49.0779724 49.0779724 53.7303544 5.01495218 -70.922028 1.27080043 1.2352362 2.92109868 0.02723922 -2.4409276 0.0258935 0.02516885 0.05436589 0.0054316 0.03441706 -1.43374630969385E-06

61 600 30.48 100 0.00113532 -60 -2.2115572 0.03685929 -74.796506 -3.3250546 0.04445468 -67.295851 -2.7346182 0.04063576 -70.221845 -2.9586392 0.04213275 -70.663634 -2.9931667 0.04235795 -70.809241 -3.0045868 0.04243213 -70.915653 -3.0129454 0.04248632 -70.921633 -3.0134154 0.04248937 -70.922004 -3.0134446 0.04248956 -70.922028 -3.0134465 0.04248957

Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ Q(LPS) hf(m) hf/q ΔQ

49.077971 49.077971 53.7303533 5.01495077 -70.922029 1.27080036 1.23523614 2.92109857 0.0272392 -2.4409277 0.0258935 0.02516885 0.05436589 0.0054316 0.03441706 -8.90683666065072E-08 49.0779709 49.0779709 53.7303532 5.01495068 -70.922029 1.27080035 1.23523613 2.92109856 0.0272392 -2.4409277 0.0258935 0.02516885 0.05436589 0.0054316 0.03441706 -5.53318293688708E-09 49.0779709 49.0779709 53.7303532 5.01495067 -70.922029 1.27080035 1.23523613 2.92109856 0.0272392 -2.4409277 0.0258935 0.02516885 0.05436589 0.0054316 0.03441706 -3.437559764862E-10 49.0779709 49.0779709 53.7303532 5.01495067 -70.922029 1.27080035 1.23523613 2.92109856 0.0272392 -2.4409277 0.0258935 0.02516885 0.05436589 0.0054316 0.03441706 -2.136273738448E-11 49.0779709 49.0779709 53.7303532 5.01495067 -70.922029 1.27080035 1.23523613 2.92109856 0.0272392 -2.4409277 0.0258935 0.02516885 0.05436589 0.0054316 0.03441706 -1.32574258933032E-12 49.0779709 49.0779709 53.7303532 5.01495067 -70.922029 1.27080035 1.23523613 2.92109856 0.0272392 -2.4409277 0.0258935 0.02516885 0.05436589 0.0054316 0.03441706 -8.18201790907825E-14 49.0779709 49.0779709 53.7303532 5.01495067 -70.922029 1.27080035 1.23523613 2.92109856 0.0272392 -2.4409277 0.0258935 0.02516885 0.05436589 0.0054316 0.03441706 1.15059626846413E-14 49.0779709 49.0779709 53.7303532 5.01495067 -70.922029 1.27080035 1.23523613 2.92109856 0.0272392 -2.4409277 0.0258935 0.02516885 0.05436589 0.0054316 0.03441706 1.15059626846413E-14 49.0779709 49.0779709 53.7303532 5.01495067 -70.922029 1.27080035 1.23523613 2.92109856 0.0272392 -2.4409277 0.0258935 0.02516885 0.05436589 0.0054316 0.03441706 -3.19610074573369E-14 49.0779709 49.0779709 53.7303532 5.01495067 -70.922029 1.27080035 1.23523613 2.92109856 0.0272392 -2.4409277 0.0258935 0.02516885 0.05436589 0.0054316 0.03441706 0 12

23

34

45

56

-70.922029 -3.0134466 0.04248957 -70.922029 -3.0134466 0.04248957 -70.922029 -3.0134466 0.04248957 -70.922029 -3.0134466 0.04248957 -70.922029 -3.0134466 0.04248957 -70.922029 -3.0134466 0.04248957 -70.922029 -3.0134466 0.04248957 -70.922029 -3.0134466 0.04248957 -70.922029 -3.0134466 0.04248957 -70.922029 -3.0134466 0.04248957

61

Circuito 2 37 78 89 94 750 400 250 500 20.32 25.4 20.32 20.32 100 100 100 100 0.01022334 0.00183925 0.00340778 0.00681556 -30 40 40 -120 6.47160464 -5.5241712 1.69219637 3.13532481 -47.861561 0.2364183 0.18413904 0.04230491 0.07838312 0.39884634 37.6132334541 7.61323345 77.6132335 77.6132335 -39.040138 -2.3603249 0.43701438 5.76794302 10.6869245 -5.9951152 0.17009865 0.05740194 0.07431649 0.13769462 0.15356286 -10.1071422507 -2.4939088 67.5060912 67.5060912 -48.033994 1.03273016 -0.0554398 4.45578527 8.25574051 -8.7976493 0.19078386 0.02223009 0.06600568 0.12229623 0.18315465 -1.3094007224 -3.8033095 66.1966905 66.1966905 -48.299095 0.15353668 -0.1210297 4.29721306 7.96193573 -8.8876857 0.18785632 0.0318222 0.06491583 0.12027695 0.1840135 -0.4616134251 -4.2649229 66.1966905 66.1966905 -48.352008 0.05060453 -0.1495989 4.29721306 7.96193573 -8.9057069 0.18786063 0.03507659 0.06491583 0.12027695 0.18418484 -0.3657676479 -4.6306906 65.8309228 65.8309228 -48.695234 0.03699876 -0.1741957 4.25338964 7.88073909 -9.0230114 0.18794283 0.03761765 0.06461082 0.11971181 0.18529557 -0.0203331419 -4.6510237 65.8105897 65.8105897 -48.714138 0.00207749 -0.1756134 4.25095954 7.87623657 -9.0294925 0.18777633 0.03775801 0.06459385 0.11968038 0.18535671 -0.001274133 -4.6522979 65.8093156 65.8093156 -48.715324 0.00012909 -0.1757024 4.25080728 7.87595447 -9.0298992 0.18776708 0.0377668 0.06459279 0.11967841 0.18536055 -7.9160128383277E-05 -4.652377 65.8092364 65.8092364 -48.715398 8.017E-06 -0.1757079 4.25079782 7.87593694 -9.0299244 0.18776651 0.03776735 0.06459272 0.11967829 0.18536079 -4.91777588242311E-06 -4.6523819 65.8092315 65.8092315 -48.715402 4.9804E-07 -0.1757083 4.25079724 7.87593585 -9.029926 0.18776647 0.03776738 0.06459272 0.11967828 0.1853608 -3.05506657290802E-07 ∑

43 ∑ 9 10 400 300 25.4 20.32 100 100 0.00183925 0.00408934 -75.203494 160 -5.4410174 -53.999228 48.8961617 0.07235059 0.776024 0.30560101 -45.090916 116.653371 -2.1120516 8.78471515 27.2529045 0.04683985 0.46981576 0.23362295 -52.272064 115.540085 -2.7761225 1.08231416 26.7736922 0.0531091 0.44679575 0.23172644 -53.139676 114.495785 -2.8619678 0.38846569 26.3277276 0.05385746 0.45488594 0.22994495 -53.455682 114.087085 -2.893533 0.31030995 26.1541309 0.05412957 0.45858377 0.22924708 -53.715038 114.064544 -2.9195584 0.01736326 26.144572 0.05435272 0.46158857 0.22920858 -53.729391 114.063114 -2.9210018 0.00108842 26.1439658 0.05436506 0.46175402 0.22920614 -53.730293 114.063026 -2.9210925 6.7624E-05 26.1439284 0.05436584 0.46176439 0.22920599 -53.730349 114.063021 -2.9210982 4.2011E-06 26.1439261 0.05436589 0.46176504 0.22920598 -53.730353 114.06302 -2.9210985 2.6098E-07 26.143926 0.05436589 0.46176508 0.22920598

-4.6523823 65.8092312 65.8092312 -48.715402 -53.730353 3.0939E-08 -0.1757083 4.2507972 7.87593578 -9.0299261 -2.9210986 0.18776647 0.03776738 0.06459272 0.11967828 0.1853608 0.05436589 -0.000000019 -4.6523823 65.8092312 65.8092312 -48.715403 -53.730353 1.9221E-09 -0.1757083 4.2507972 7.87593578 -9.0299261 -2.9210986 0.18776647 0.03776738 0.06459272 0.11967828 0.1853608 0.05436589 -1.17904716789153E-09 -4.6523823 65.8092312 65.8092312 -48.715403 -53.730353 1.1941E-10 -0.1757083 4.2507972 7.87593578 -9.0299261 -2.9210986 0.18776647 0.03776738 0.06459272 0.11967828 0.1853608 0.05436589 -7.32264825528631E-11 -4.6523823 65.8092312 65.8092312 -48.715403 -53.730353 7.4207E-12 -0.1757083 4.2507972 7.87593578 -9.0299261 -2.9210986 0.18776647 0.03776738 0.06459272 0.11967828 0.1853608 0.05436589 -4.55387926510712E-12 -4.6523823 65.8092312 65.8092312 -48.715403 -53.730353 4.6052E-13 -0.1757083 4.2507972 7.87593578 -9.0299261 -2.9210986 0.18776647 0.03776738 0.06459272 0.11967828 0.1853608 0.05436589 -2.69281901749463E-13 -4.6523823 65.8092312 65.8092312 -48.715403 -53.730353 2.8422E-14 -0.1757083 4.2507972 7.87593578 -9.0299261 -2.9210986 0.18776647 0.03776738 0.06459272 0.11967828 0.1853608 0.05436589 -4.62665815747144E-14 -4.6523823 65.8092312 65.8092312 -48.715403 -53.730353 -3.9968E-15 -0.1757083 4.2507972 7.87593578 -9.0299261 -2.9210986 0.18776647 0.03776738 0.06459272 0.11967828 0.1853608 0.05436589 1.03969846235313E-14 -4.6523823 65.8092312 65.8092312 -48.715403 -53.730353 -3.9968E-15 -0.1757083 4.2507972 7.87593578 -9.0299261 -2.9210986 0.18776647 0.03776738 0.06459272 0.11967828 0.1853608 0.05436589 1.03969846235313E-14 -4.6523823 65.8092312 65.8092312 -48.715403 -53.730353 1.1102E-14 -0.1757083 4.2507972 7.87593578 -9.0299261 -2.9210986 0.18776647 0.03776738 0.06459272 0.11967828 0.1853608 0.05436589 -2.85917077147112E-14 -4.6523823 65.8092312 65.8092312 -48.715403 -53.730353 0 -0.1757083 4.2507972 7.87593578 -9.0299261 -2.9210986 0.18776647 0.03776738 0.06459272 0.11967828 0.1853608 0.05436589 1.87145723223564E-14 ∑

37

78

89

94

43

114.06302 1.6213E-08 26.1439259 0.46176508 0.22920598 114.06302 1.0072E-09 26.1439259 0.46176508 0.22920598 114.06302 6.2555E-11 26.1439259 0.46176508 0.22920598 114.06302 3.8902E-12 26.1439259 0.46176508 0.22920598 114.06302 2.3004E-13 26.1439259 0.46176508 0.22920598 114.06302 3.9524E-14 26.1439259 0.46176508 0.22920598 114.06302 -8.8818E-15 26.1439259 0.46176508 0.22920598 114.06302 -8.8818E-15 26.1439259 0.46176508 0.22920598 114.06302 2.4425E-14 26.1439259 0.46176508 0.22920598 114.06302 -1.5987E-14 26.1439259 0.46176508 0.22920598



9 10

1.-2 2.-3 3.-4 4.-5 5.-6 6.-1

Cicuito 1 49.0779709 lps 49.0779709 lps 53.7303532 lps 5.01495067 lps -70.922029 lps -70.922029 lps

3.-7 7.-8 8.-9 9.-4 4.-3

Circuito 2 -4.6523823 lps 65.8092312 lps 65.8092312 lps -48.715403 lps -53.730353 lps

9.-10 10.-11 11.-12 12.-5 5.-4 4.-9

Circuito 3 114.06302 lps 116.220606 lps 46.220606 lps -74.823694 lps -5.0149507 lps 48.7154025 lps

Circuito 3 10 11 11 12 12 5 54 500 500 700 300 20.32 15.24 15.24 25.4 100 100 100 100 0.00681556 0.02766643 0.03873301 0.00137943 160 90 -30 44.7965057 81.4936028 114.104255 -20.929341 1.56495803 0.50933502 1.26782506 0.6976447 0.03493482 -43.3466289002 116.653371 46.6533711 -73.346629 -6.0507783 45.4215075 33.8366068 -109.40433 -0.0385524 0.38937158 0.72527678 1.49160684 0.00637148 -1.113285712 116.653371 46.6533711 -73.346629 -4.2380695 45.4215075 33.8366068 -109.40433 -0.0199509 0.38937158 0.72527678 1.49160684 0.00470754 -1.0443000333 116.653371 46.6533711 -74.390929 -4.8405808 45.4215075 33.8366068 -112.30348 -0.025513 0.38937158 0.72527678 1.50963939 0.00527065 -0.4087006535 116.24467 46.2446704 -74.79963 -5.1036746 45.1275436 33.2902704 -113.44757 -0.0281374 0.38821172 0.71987258 1.5166863 0.00551317 -0.022540817 116.22213 46.2221296 -74.82217 -5.0198036 45.1113563 33.2602575 -113.51083 -0.027288 0.38814773 0.71957432 1.51707478 0.00543607 -0.0014295519 116.2207 46.2207001 -74.8236 -5.0152528 45.1103297 33.2583545 -113.51484 -0.0272422 0.38814368 0.7195554 1.51709942 0.00543188 -8.82408859189949E-05 116.220612 46.2206118 -74.823688 -5.0149694 45.1102664 33.258237 -113.51509 -0.0272394 0.38814343 0.71955424 1.51710094 0.00543162 -5.4820700708667E-06 116.220606 46.2206064 -74.823694 -5.0149518 45.1102624 33.2582297 -113.5151 -0.0272392 0.38814341 0.71955416 1.51710104 0.0054316 -3.40554821368773E-07 116.220606 46.220606 -74.823694 -5.0149507 45.1102622 33.2582293 -113.5151 -0.0272392 0.38814341 0.71955416 1.51710104 0.0054316 -2.11562556028115E-08

49 ∑ 500 20.32 100 0.00681556 82.3867665 23.8691992 248.998836 0.28972128 3.10506189 49.1472799 9.17858217 6.24671478 0.18675667 3.0330063 49.3433949 9.24645476 5.85397665 0.18738992 3.0300791 48.7607083 9.0454684 2.30232102 0.18550732 3.04501067 48.7177753 9.0307398 0.12697386 0.18536848 3.04489933 48.7155676 9.02998273 0.0080525 0.18536134 3.04480282 48.7154122 9.02992943 0.00049705 0.18536083 3.04479735 48.7154031 9.02992632 3.088E-05 0.1853608 3.04479701 48.7154026 9.02992613 1.9183E-06 0.1853608 3.04479699 48.7154025 9.02992611 1.1917E-07 0.1853608 3.04479699

116.220606 46.220606 -74.823694 -5.0149507 45.1102622 33.2582293 -113.5151 -0.0272392 0.38814341 0.71955416 1.51710104 0.0054316 -1.31428139567026E-09 116.220606 46.220606 -74.823694 -5.0149507 45.1102622 33.2582293 -113.5151 -0.0272392 0.38814341 0.71955416 1.51710104 0.0054316 -8.16454887187661E-11 116.220606 46.220606 -74.823694 -5.0149507 45.1102622 33.2582293 -113.5151 -0.0272392 0.38814341 0.71955416 1.51710104 0.0054316 -5.0854196642679E-12 116.220606 46.220606 -74.823694 -5.0149507 45.1102622 33.2582293 -113.5151 -0.0272392 0.38814341 0.71955416 1.51710104 0.0054316 -2.7309769498053E-13 116.220606 46.220606 -74.823694 -5.0149507 45.1102622 33.2582293 -113.5151 -0.0272392 0.38814341 0.71955416 1.51710104 0.0054316 -4.03654791657134E-14 116.220606 46.220606 -74.823694 -5.0149507 45.1102622 33.2582293 -113.5151 -0.0272392 0.38814341 0.71955416 1.51710104 0.0054316 -1.76598971349996E-14 116.220606 46.220606 -74.823694 -5.0149507 45.1102622 33.2582293 -113.5151 -0.0272392 0.38814341 0.71955416 1.51710104 0.0054316 2.39670032546424E-14 116.220606 46.220606 -74.823694 -5.0149507 45.1102622 33.2582293 -113.5151 -0.0272392 0.38814341 0.71955416 1.51710104 0.0054316 -3.02741093742851E-14 116.220606 46.220606 -74.823694 -5.0149507 45.1102622 33.2582293 -113.5151 -0.0272392 0.38814341 0.71955416 1.51710104 0.0054316 2.27055820307138E-14 116.220606 46.220606 -74.823694 -5.0149507 45.1102622 33.2582293 -113.5151 -0.0272392 0.38814341 0.71955416 1.51710104 0.0054316 -3.02741093742851E-14 10 11

11 12

12 5

54

48.7154025 9.02992611 7.4032E-09 0.1853608 3.04479699 48.7154025 9.02992611 4.599E-10 0.1853608 3.04479699 48.7154025 9.02992611 2.8646E-11 0.1853608 3.04479699 48.7154025 9.02992611 1.5383E-12 0.1853608 3.04479699 48.7154025 9.02992611 2.2737E-13 0.1853608 3.04479699 48.7154025 9.02992611 9.9476E-14 0.1853608 3.04479699 48.7154025 9.02992611 -1.35E-13 0.1853608 3.04479699 48.7154025 9.02992611 1.7053E-13 0.1853608 3.04479699 48.7154025 9.02992611 -1.279E-13 0.1853608 3.04479699 48.7154025 9.02992611 1.7053E-13 0.1853608 3.04479699

49