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METODO TEORIA LINEAL v= 1.57E-06 m2/s KS= 0.0015 mm FORMULACION DE MATRIZ POR EL PRINCIPIO DE CONSERVACION DE MASA Y E Tuberi Dime!r" L"#$i!u% &mm' &m' 1 (1 100 100 (2 100 )00 () 100 100 (* 100 100 (5 100 )00 (6 100 100 (7 100 100 (+ 100 100 (, 100 100 (10 100 100 Tuberi Dime!r" L"#$i!u% &mm' &m' 2 (1 100 100 (2 100 )00 () 100 100 (* 100 100 (5 100 )00 (6 100 100 (7 100 100 (+ 100 100 (, 100 100 (10 100 100 Tuberi Dime!r" L"#$i!u% &mm' &m' ) (1 100 100 (2 100 )00 () 100 100 (* 100 100 (5 100 )00 (6 100 100 (7 100 100 (+ 100 100 (, 100 100 (10 100 100

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Hoja1METODO TEORIA LINEAL v=1.57E-06m2/sKS=0.0015mm

FORMULACION DE MATRIZ POR EL PRINCIPIO DE CONSERVACION DE MASA Y ENERGIATuberiaDiametroLongitudQKs/DAVRefaABS (a * Q)Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10(mm)(m)(l/s)(m2)(m/s)1P110010023.50.0000150.00785398162.9921129301190580.440.015812895513065.6985795292307.0439166189Q10-1-10000000Q1-0.008-0.4039578389-0.3972102863-0.4515165162-0.456804486-0.4243634012-0.3517356831-0.64826431690.00050331510.00028360510.001145555Q10.021251549621.252E10P21003007.750.0000150.00785398160.986760647262851.000.019801291949083.555616505380.3975560279Q200100100-10Q20-0.3334308346-0.3198780503-0.1044853509-0.0969503278-0.2121817006-0.17586784150.1758678415-0.00071719220.00015423520.0005727775Q20.00662577486.626E20P31001000.250.0000150.00785398160.03183098862027.450.05086133742025.124313982510.5062810785Q30001001-100Q30-0.66656916540.31987805030.10448535090.09695032780.21218170060.1758678415-0.17586784150.0007171922-0.0001542352-0.0005727775Q30.00137422521.374E31.9627608025P41001000.250.0000150.00785398160.03183098862027.450.05086133742025.124313982510.5062810785Q4000-1-100000Q4-0.0080.07052700430.0773322360.3470311653-0.64014584180.21218170060.1758678415-0.1758678415-0.0012205073-0.0001293698-0.0005727775Q40.00137422521.374P51003007.750.0000150.00785398160.986760647262851.000.019801291949083.555616505380.3975560279Q500000-1-1000XQ5-0.015-0.0705270043-0.077332236-0.3470311653-0.3598541582-0.2121817006-0.17586784150.17586784150.00122050730.00012936980.0005727775Q50.00662577486.626P61001007.50.0000150.00785398160.954929658660823.550.019942851616478.1514807743123.5861361058Q6000000011-1Q6-0.0080.1866387240.1917935387-0.1917935387-0.186638724-0.50-0-0.00049064120.0020032183-0Q60.00757.500P71001007.50.0000150.00785398160.954929658660823.550.019942851616478.1514807743123.5861361058Q7-1100100000Q7-0.008-0.186638724-0.19179353870.19179353870.186638724-0.5000.0004906412-0.00200321830Q70.00757.500P81001007.750.0000150.00785398160.986760647262851.000.019801291916361.1852055017126.7991853426Q80-380.397556027910.5062810785-10.5062810785380.3975560279-123.5861361058123.5861361058-126.7991853426126.79918534260Q80-0.1161117198-0.1144613027-0.461175296-0.4535071178-0.28781829940.1758678415-0.1758678415-0.0007298661-0.0021325881-0.0005727775Q80.00887422528.874P91001007.750.0000150.00785398160.986760647262851.000.019801291916361.1852055017126.7991853426Q900000123.5861361058-123.5861361058-126.7991853426126.79918534260Q90-0.4799304413-0.488328411-0.0873081878-0.0896883962-0.28781829940.1758678415-0.17586784150.0002265510.0018489831-0.0005727775Q90.00887422528.874P1010010023.50.0000150.00785398162.9921129301190580.440.015812895513065.6985795292307.0439166189Q10307.0439166189380.3975560279-10.506281078500000-126.7991853426-307.0439166189Q100-0.5960421611-0.6027897137-0.5484834838-0.543195514-0.5756365988-0.6482643169-0.3517356831-0.0005033151-0.0002836051-0.001145555Q100.025748450425.748

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Q)Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10(mm)(m)(l/s)(m2)(m/s)10P110010022.25147244470.0000150.00785398162.8331454645180455.130.015977529113201.730181423293.7579353545Q10-1-10000000Q1-0.008-0.4329052175-0.4169689485-0.472211761-0.4845703451-0.4445903548-0.3673116788-0.66303989870.00050101430.00027751510.0011470672Q10.022251472422.251E10P21003007.12573622240.0000150.00785398160.907276914457788.340.020167021449990.1279666031356.2164656119Q200100100-10Q20-0.3670882041-0.3349274312-0.1096629236-0.0916495773-0.2222951774-0.18365583940.1684800507-0.00073025720.00018110920.0005735336Q20.00712573627.126E2-0.0431311513P31001000.87426377760.0000150.00785398160.11131472147090.110.034147180628214.742121930624.6671270327Q30001001-100Q30-0.63291179590.33492743120.10966292360.09164957730.22229517740.1836558394-0.16848005070.0007302572-0.0001811092-0.0005735336Q30.00087426380.874E30.0431311532P41001000.87426377760.0000150.00785398160.11131472147090.110.034147180628214.742121930624.6671270327Q4000-1-100000Q4-0.0080.06581701340.08204151740.3625488374-0.60707923210.22229517740.1836558394-0.1684800507-0.0012312715-0.0000964059-0.0005735336Q40.00087426380.874P51003007.12573622240.0000150.00785398160.907276914457788.340.020167021449990.1279666031356.2164656119Q500000-1-1000XQ5-0.015-0.0658170134-0.0820415174-0.3625488374-0.3929207679-0.2222951774-0.18365583940.16848005070.00123127150.00009640590.0005735336Q50.00712573627.126P61001007.50.0000150.00785398160.954929658660823.550.019942851616478.1514807743123.5861361058Q6000000011-1Q6-0.0080.1822253880.1948440545-0.1948440545-0.182225388-0.500-0.0005115580.0019576182-0Q60.00757.500P71001007.50.0000150.00785398160.954929658660823.550.019942851616478.1514807743123.5861361058Q7-1100100000Q7-0.008-0.182225388-0.19484405450.19484405450.182225388-0.5-000.000511558-0.00195761820Q70.00757.500P81001008.37426377760.0000150.00785398161.0662443867913.650.019473002716089.9301505346134.7413192444Q80-356.216465611924.6671270327-24.6671270327356.2164656119-123.5861361058123.5861361058-134.7413192444134.74131924440Q80-0.1164083746-0.1128025372-0.442607108-0.4248538441-0.27770482260.1836558394-0.1684800507-0.0007197135-0.002054024-0.0005735336Q80.00837426388.374P91001008.37426377760.0000150.00785398161.0662443867913.650.019473002716089.9301505346134.7413192444Q900000123.5861361058-123.5861361058-134.7413192444134.74131924440Q90-0.4506864079-0.4702285143-0.0851811309-0.0905758108-0.27770482260.1836558394-0.16848005070.00021869920.0017765089-0.0005735336Q90.00837426388.374P1010010024.74852755530.0000150.00785398163.1510803957200705.760.015659405312938.8744565353320.218091022Q10293.7579353545356.2164656119-24.667127032700000-134.7413192444-320.218091022Q100-0.5670947825-0.5830310515-0.527788239-0.5154296549-0.5554096452-0.6326883212-0.3369601013-0.0005010143-0.0002775151-0.0011470672Q100.024748527624.749TuberiaDiametroLongitudQKs/DAVRefaABS (a * Q)Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10(mm)(m)(l/s)(m2)(m/s)11P110010022.25147244370.0000150.00785398162.8331454644180455.130.015977529113201.7301815426293.7579353432Q10-1-10000000Q1-0.008-0.4329052175-0.4169689485-0.4722117611-0.4845703452-0.4445903548-0.3673116788-0.66303989870.00050101430.00027751510.0011470672Q10.022251472422.251E10P21003007.12573622180.0000150.00785398160.907276914357788.340.020167021449990.127967416356.2164655912Q200100100-10Q20-0.3670882041-0.3349274312-0.1096629236-0.0916495772-0.2222951774-0.18365583940.1684800507-0.00073025720.00018110920.0005735336Q20.00712573627.126E2-0.0431311514P31001000.87426377820.0000150.00785398160.11131472157090.110.034147180628214.742117008424.6671270434Q30001001-100Q30-0.63291179590.33492743120.10966292360.09164957720.22229517740.1836558394-0.16848005070.0007302572-0.0001811092-0.0005735336Q30.00087426380.874E30.0431311516P41001000.87426377820.0000150.00785398160.11131472157090.110.034147180628214.742117008424.6671270434Q4000-1-100000Q4-0.0080.06581701340.08204151740.3625488374-0.60707923210.22229517740.1836558394-0.1684800507-0.0012312715-0.0000964059-0.0005735336Q40.00087426380.874P51003007.12573622180.0000150.00785398160.907276914357788.340.020167021449990.127967416356.2164655912Q500000-1-1000XQ5-0.015-0.0658170134-0.0820415174-0.3625488374-0.3929207679-0.2222951774-0.18365583940.16848005070.00123127150.00009640590.0005735336Q50.00712573627.126P61001007.50.0000150.00785398160.954929658660823.550.019942851616478.1514807743123.5861361058Q6000000011-1Q6-0.0080.1822253880.1948440545-0.1948440545-0.182225388-0.500-0.0005115580.0019576182-0Q60.00757.500P71001007.50.0000150.00785398160.954929658660823.550.019942851616478.1514807743123.5861361058Q7-1100100000Q7-0.008-0.182225388-0.19484405450.19484405450.182225388-0.5-000.000511558-0.00195761820Q70.00757.500P81001008.37426377820.0000150.00785398161.0662443867913.650.019473002716089.9301503162134.7413192511Q80-356.216465591224.6671270434-24.6671270434356.2164655912-123.5861361058123.5861361058-134.7413192511134.74131925110Q80-0.1164083746-0.1128025372-0.442607108-0.4248538441-0.27770482260.1836558394-0.1684800507-0.0007197135-0.002054024-0.0005735336Q80.00837426388.374P91001008.37426377820.0000150.00785398161.0662443867913.650.019473002716089.9301503162134.7413192511Q900000123.5861361058-123.5861361058-134.7413192511134.74131925110Q90-0.4506864079-0.4702285143-0.0851811309-0.0905758108-0.27770482260.1836558394-0.16848005070.00021869920.0017765089-0.0005735336Q90.00837426388.374P1010010024.74852755630.0000150.00785398163.1510803959200705.760.015659405312938.8744564315320.2180910331Q10293.7579353432356.2164655912-24.667127043400000-134.7413192511-320.2180910331Q100-0.5670947825-0.5830310515-0.5277882389-0.5154296548-0.5554096452-0.6326883212-0.3369601013-0.0005010143-0.0002775151-0.0011470672Q100.024748527624.749CARGA DE PRESION EN LOS NUDOS

TramoijTuberiaDLQAVRefhfCota (m)P/Y (m)HGL (m)(m)(m)(m3/s)(m2)(m/s)(m)ijijijR-1J-7P-10.11000.02225147240.00785398162.8331454644180455.130.01597752916.53654660348060013.468073.46J-7J-1P-20.13000.00712573620.00785398160.907276914357788.340.02016702142.5383045717605013.4620.9373.463453396670.93J-7J-4P-30.11000.00087426380.00785398160.11131472157090.110.03414718060.0215655757606513.468.4473.463453396673.44J-1J-2P-40.11000.00087426380.00785398160.11131472157090.110.03414718060.0215655757505520.9315.9070.925148824970.90J-4J-3P-50.13000.00712573620.00785398160.907276914357788.340.02016702142.538304571765608.4410.9073.441887820970.90J-2J-5P-60.11000.00750.00785398160.954929658660823.550.01994285160.9268960208555515.9014.9870.903583249269.98J-3J-5P-70.11000.00750.00785398160.954929658660823.550.01994285160.9268960208605510.9014.9870.903583249269.98J-2J-6P-80.11000.00837426380.00785398161.0662443867913.650.01947300271.1283593492555515.9014.7870.903583249269.78J-3J-6P-90.11000.00837426380.00785398161.0662443867913.650.01947300271.1283593492605510.9014.7870.903583249269.78J-6R-2P-100.11000.02474852760.00785398163.1510803959200705.760.01565940537.92492625558014.78-18.1569.775223961.85

Resumen:

ZP/YHGL(m)(m)(m)J-15020.92570.925J-25515.90470.904J-36010.90470.904J-4658.44273.442J-55514.97769.977J-65514.77569.775J-76013.4673.463