metodo de Wood Charles

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Ejemplo de solucion de una red cerrada de un sistema de agua potable, utilizando el metodo de wood charles presentado en clases de ingenieria sanitarias, autor: ingeniero Orlando Rojas, docente de la facultad nacional de ingenieria, Oruro, Bolivia

Transcript of metodo de Wood Charles

Hoja1En la ecuacin:hf=KfLQ1,852Con L = Cte.DescomponiendoAhora sea:Entonces:

Hoja2Ecuaciones:123456789101112Nodo A+Q1(-)Q3=qa=9.6Nodo B+Q1+Q2+Q4=Qo -Qb=105.1Nodo C+Q2(-)Q5=qc=8.6Nodo D+Q3+Q6(-)Q8=qd=11.7Nodo E+Q4(-)Q6(-)Q7(-)Q9=qe=15.5Nodo F+Q5+Q7(-)Q10=qf=9.8Nodo G+Q8+Q11=qg=10.2Nodo H+Q9(-)Q11(-)Q12=qh=14.4Anillo I-R1Q1-R3Q3+R4Q4+R6Q6=0=0Anillo II+R2Q2-R4Q4+R5Q5-R7Q7=0=0Anillo III-R6Q6-R8Q8+R9Q9+R11Q11=0=0Anillo IV+R7Q7-R9Q9+R10Q10-R12Q12=0=0000000000000Tramos123456789101112Qi0.01810.01830.00850.06880.00970.00940.01060.00610.03330.01040.00410.0149Li800850700750800820900100010007507001000Di0.1500.1500.1000.3000.1500.1000.1250.1250.2000.1250.0750.150Matrices:Nodo A10-1000000000Q1qaNodo B110100000000Q2Qo -QbNodo C0100-10000000Q3qcNodo D0010010-10000Q4qdNodo E00010-1-10-1000*Q5qeNodo F000010100-100Q6=qfNodo G000000010010Q7qgNodo H0000000010-1-1Q8qhAnillo I-305.20-1010.430.5201289.5971984741000000Q90Anillo II0327.30-30.52179.40-528.915921787300000Q100Anillo III00000-1289.60-367.0158.002203.80Q110Anillo IV000000528.90-158.0433.70-323.2Q120Operaciones matriciales:0.83850.0239-0.01550.3828-0.0109-0.01100.32930.0082-0.0005-0.0000-0.0001-0.00000.0096Q1 =0.01810-0.22640.23420.3898-0.2007-0.19990.1837-0.1916-0.13690.00000.00110.00000.00040.1051Q2 =0.01822-0.16150.0239-0.01550.3828-0.0109-0.01100.32930.0082-0.0005-0.0000-0.0001-0.00000.0086Q3 =0.00850-0.61210.7420-0.3742-0.18210.2108-0.1727-0.13770.12870.0004-0.00110.0001-0.00040.0117Q4 =0.06878-0.22640.2342-0.6102-0.2007-0.19990.1837-0.1916-0.13690.00000.00110.00000.0004*0.0155Q5 =0.009620.08640.0068-0.00700.3948-0.0161-0.00710.33920.00530.00030.0000-0.0002-0.00000.0098=Q6 =0.00932-0.18160.18160.0558-0.1818-0.20370.1859-0.1756-0.1386-0.0000-0.00070.00000.00040.0102Q7 =0.01057-0.07510.0306-0.0225-0.2223-0.0269-0.01800.66860.0135-0.0001-0.0000-0.0003-0.00000.0144Q8 =0.00612-0.51690.5536-0.4231-0.3951-0.5695-0.3516-0.30130.26210.0001-0.00040.0003-0.00080Q9 =0.03339-0.40800.4157-0.5544-0.3825-0.4036-0.6304-0.3672-0.27550.00000.00040.00000.00090Q10 =0.010390.0751-0.03060.02250.22230.02690.01800.3314-0.01350.00010.00000.00030.00000Q11=0.00408-0.59200.5843-0.4456-0.6175-0.5964-0.3696-0.6328-0.7245-0.0000-0.0004-0.0000-0.00090Q12 =0.01491Clculo de PresionesAduccin T - BPT/ ZTZBhfPB/ Presin en B02674.32636.81.6035.90QLDhfANILLOTRAMOP1/ Z1Z2hfP2/ hfQ1 =0.018108000.1505.526I435.902636.82630.12.09940.500.0925Q2 =0.018228500.1505.942640.502630.12632.711.92825.97Q3 =0.008507000.1008.594135.902636.82635.95.52631.27Q4 =0.068787500.3002.099331.272635.92632.78.59425.88Q5 =0.009628000.1501.713II235.902636.82637.35.94229.460.0201Q6 =0.009328200.10011.928529.462637.32638.41.71326.65Q7 =0.010579000.1255.576435.902636.82630.12.09940.50Q8 =0.0061210000.1252.253740.502630.12638.45.57626.62Q9 =0.0333910000.2005.288III940.502630.12633.95.28831.410.0541Q10 =0.010397500.1254.5011131.412633.92629.68.94826.77Q11=0.004087000.0758.948640.502630.12632.711.92825.97Q12 =0.0149110000.1504.823825.972632.72629.62.25326.82IV740.502630.12638.45.57626.620.03341026.622638.42639.24.50121.32940.502630.12633.95.28831.411231.412633.92639.24.82321.29

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