• Author / Uploaded
• CarlosColqueBlass

Citation preview

MÉTODO DE HARDY CROSS PARA EL BALANCE DE PÉRDIDAS coeficiente de hazen williams CHW 130 para acero N 1.851

Circuito I

Tramo 1-2 2-4 4-3 3-1

II

4-6 6-5 5-3 3-4

�_��=�_��/(0.279�_��� �_

D (m) 0.200 0.150 0.125 0.200

L (m) 1000 800 500 800

a 3280.61 10647.86 16166.16 2624.49

Q (m3/s) 0.03 0.021 -0.005 -0.02

0.125 0.125 0.150 0.125

500 500 500 500

16166.16 16166.16 6654.91 16166.16

0.011 -0.009 -0.015 0.005

�_��=�_��/(0.279�_��� �_��^2.63 )^�

Δ�=−(∑_1^�▒(�_�� |�_�� | ^(�−1) �_�� ) )/(�∑_1^�▒(�_�� | �_�� |^(�−1) ) ) 1

H (m) a*|Q|^N-1 a*Q*|Q|^N-1 4.9786 165.9528 4.9786 8.3501 397.6225 8.3501 -0.8900 178.0043 -0.8900 -1.8804 94.0201 -1.8804 10.5582 835.5997 10.5582 3.8302 348.2027 -2.6419 293.5400 -2.7995 186.6362 0.8900 178.0043 -0.7212 1006.3832

Tramo 1-2 2-4 4-3 3-1

4-6 6-5 5-3 3-4

z1-z2=3.03 z3-z1=-3.29

H (m) 3.0316 3.9150 -3.6576 -3.2890 0.0000 3.0214 -3.4054 -3.2737 3.6576 0.0000

3.8302 -2.6419 -2.7995 0.8900 -0.7212

Q (m) Otros Circuitos -0.0068 -0.0068 -0.0068 -0.0004 -0.0068 -0.0273 0.0004 0.0004 0.0004 0.0004 0.0015

a*|Q|^N-1 a*Q*|Q|^N-1 132.1117 3.0316 280.6924 3.9150 340.8995 -3.6576 121.5771 -3.2890 875.2806 0.0000 312.2273 329.8809 200.5562 340.8995 1183.5638

3.0214 -3.4054 -3.2737 3.6576 0.0000

0.0068

Q (m3/s) 0.0232 0.0142 -0.0122 -0.0268

0.0114 -0.0086 -0.0146 0.0122

DQ (m) Otros Circuitos 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

0.0000

_�� | ^�▒(�_�� | �_��=�_�� �_��^� 2 H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.0872 133.2187 3.0872 4.0333 284.5602 4.0333 -4.6488 380.6329 -4.6488 -3.2383 120.7118 -3.2383 -0.7667 919.1236 -0.7667 4.0835 358.6043 -2.4354 282.7599 -2.6673 182.5292 4.6488 380.6329 3.6297 1204.5263

13 Q (m3/s) 0.0229 0.0139 -0.0107 -0.0271

0.0097 -0.0103 -0.0163 0.0107

4.0835 -2.4354 -2.6673 4.6488 3.6297

Q (m) Otros Circuitos 0.0005 0.0005 0.0005 0.0016 0.0005 0.0018 -0.0016 -0.0016 -0.0016 -0.0016 -0.0065

-0.0005

Q (m3/s) 0.0236 0.0146 -0.0101 -0.0264

0.0098 -0.0102 -0.0162 0.0101

3 H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.1992 135.4201 3.1992 4.2738 292.2413 4.2738 -3.2914 324.7563 -3.2914 -3.1383 118.9840 -3.1383 1.0434 871.4018 1.0434 3.0691 314.4831 -3.3553 327.6440 -3.2432 199.6963 3.2914 324.7563 -0.2381 1166.5796

3.0691 -3.3553 -3.2432 3.2914 -0.2381

Q (m) Otros Circuitos -0.0006 -0.0006 -0.0006 -0.0001 -0.0006 -0.0026 0.0001 0.0001 0.0001 0.0001 0.0004

0.0006

Q (m3/s) 0.0230 0.0140 -0.0109 -0.0270

0.0099 -0.0101 -0.0161 0.0109

4 H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.0389 132.2580 3.0389 3.9305 281.2038 3.9305 -3.7609 345.2915 -3.7609 -3.2822 121.4629 -3.2822 -0.0737 880.2162 -0.0737 3.1336 317.5047 -3.2888 324.6390 -3.2026 198.5417 3.7609 345.2915 0.4032 1185.9770

3.1336 -3.2888 -3.2026 3.7609 0.4032

Q (m) Otros Circuitos 0.0000 0.0000 0.0000 0.0002 0.0000 0.0002 -0.0002 -0.0002 -0.0002 -0.0002 -0.0007

0.0000

Q (m3/s) 0.0230 0.0140 -0.0107 -0.0270

0.0097 -0.0103 -0.0163 0.0107

5 H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.0500 132.4795 3.0500 3.9541 281.9780 3.9541 -3.6159 339.1070 -3.6159 -3.2721 121.2898 -3.2721 0.1161 874.8544 0.1161 3.0265 312.4699 -3.4000 329.6406 -3.2704 200.4637 3.6159 339.1070 -0.0279 1181.6812

3.0265 -3.4000 -3.2704 3.6159 -0.0279

Q (m) Otros Circuitos Q (m3/s) -0.0001 0.0230 -0.0001 0.0140 -0.0001 0.0000 -0.0107 -0.0001 -0.0270 -0.0003 0.0000 0.0000 0.0000 0.0000 0.0001

0.0001

0.0097 -0.0103 -0.0163 0.0107

6 H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.0325 132.1284 3.0325 3.9167 280.7507 3.9167 -3.6691 341.3915 -3.6691 -3.2882 121.5641 -3.2882 -0.0081 875.8346 -0.0081 3.0339 312.8204 -3.3922 329.2933 -3.2657 200.3302 3.6691 341.3915 0.0452 1183.8354

3.0339 -3.3922 -3.2657 3.6691 0.0452

Q (m) Otros Circuitos Q (m3/s) 0.0000 0.0230 0.0000 0.0140 0.0000 0.0000 -0.0107 0.0000 -0.0270 0.0000 0.0000 0.0000 0.0000 0.0000 -0.0001

0.0000

0.0097 -0.0103 -0.0163 0.0107

7 H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.0337 132.1529 3.0337 3.9193 280.8363 3.9193 -3.6530 340.6989 -3.6530 -3.2871 121.5450 -3.2871 0.0130 875.2330 0.0130 3.0220 312.2543 -3.4048 329.8541 -3.2733 200.5459 3.6530 340.6989 -0.0031 1183.3531

3.0220 -3.4048 -3.2733 3.6530 -0.0031

Q (m) Otros Circuitos Q (m3/s) 0.0000 0.0229 0.0000 0.0139 0.0000 0.0000 -0.0107 0.0000 -0.0271 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

0.0000

0.0097 -0.0103 -0.0163 0.0107

8 H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.0317 132.1135 3.0317 3.9152 280.6987 3.9152 -3.6589 340.9549 -3.6589 -3.2889 121.5757 -3.2889 -0.0009 875.3428 -0.0009 3.0228 312.2938 -3.4039 329.8150 -3.2728 200.5308 3.6589 340.9549 0.0051 1183.5945

3.0228 -3.4039 -3.2728 3.6589 0.0051

Q (m) Otros Circuitos Q (m3/s) 0.0000 0.0229 0.0000 0.0139 0.0000 0.0000 -0.0107 0.0000 -0.0271 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

0.0000

0.0097 -0.0103 -0.0163 0.0107

9 H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.0319 132.1163 3.0319 3.9155 280.7083 3.9155 -3.6571 340.8772 -3.6571 -3.2887 121.5736 -3.2887 0.0015 875.2754 0.0015 3.0215 312.2303 -3.4053 329.8779 -3.2736 200.5550 3.6571 340.8772 -0.0004 1183.5404

3.0215 -3.4053 -3.2736 3.6571 -0.0004

Q (m) Otros Circuitos Q (m3/s) 0.0000 0.0229 0.0000 0.0139 0.0000 0.0000 -0.0107 0.0000 -0.0271 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

0.0000

0.0097 -0.0103 -0.0163 0.0107

H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.0316 132.1118 3.0316 3.9150 280.6929 3.9150 -3.6578 340.9059 -3.6578 -3.2889 121.5770 -3.2889 -0.0001 875.2877 -0.0001 3.0216 312.2347 -3.4052 329.8735 -3.2736 200.5533 3.6578 340.9059 0.0006 1183.5675

3.0216 -3.4052 -3.2736 3.6578 0.0006

10 Q (m) Otros Circuitos Q (m3/s) 0.0000 0.0229 0.0000 0.0139 0.0000 0.0000 -0.0107 0.0000 -0.0271 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

0.0000

0.0097 -0.0103 -0.0163 0.0107

H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.0317 132.1122 3.0317 3.9150 280.6940 3.9150 -3.6576 340.8972 -3.6576 -3.2889 121.5768 -3.2889 0.0002 875.2801 0.0002 3.0214 312.2276 -3.4054 329.8806 -3.2737 200.5560 3.6576 340.8972 0.0000 1183.5614

3.0214 -3.4054 -3.2737 3.6576 0.0000

11 Q (m) Otros Circuitos Q (m3/s) 0.0000 0.0229 0.0000 0.0139 0.0000 0.0000 -0.0107 0.0000 -0.0271 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

0.0000

0.0097 -0.0103 -0.0163 0.0107

H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.0316 132.1117 3.0316 3.9150 280.6922 3.9150 -3.6577 340.9004 -3.6577 -3.2890 121.5771 -3.2890 0.0000 875.2815 0.0000 3.0214 312.2281 -3.4054 329.8801 -3.2737 200.5559 3.6577 340.9004 0.0001 1183.5645

3.0214 -3.4054 -3.2737 3.6577 0.0001

12 Q (m) Otros Circuitos Q (m3/s) 0.0000 0.0229 0.0000 0.0139 0.0000 0.0000 -0.0107 0.0000 -0.0271 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

0.0000

0.0097 -0.0103 -0.0163 0.0107

H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.0316 132.1117 3.0316 3.9150 280.6924 3.9150 -3.6576 340.8995 -3.6576 -3.2890 121.5771 -3.2890 0.0000 875.2806 0.0000 3.0214 312.2273 -3.4054 329.8809 -3.2737 200.5562 3.6576 340.8995 0.0000 1183.5638

3.0214 -3.4054 -3.2737 3.6576 0.0000

13 Q (m) Otros Circuitos Q (m3/s) 0.0000 0.0229 0.0000 0.0139 0.0000 0.0000 -0.0107 0.0000 -0.0271 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

0.0000

0.0097 -0.0103 -0.0163 0.0107

H (m) a*|Q|^N-1 a*Q*|Q|^N-1 3.0316 132.1116 3.0316 3.9150 280.6922 3.9150 -3.6577 340.8998 -3.6577 -3.2890 121.5772 -3.2890 0.0000 875.2808 0.0000 3.0214 312.2273 -3.4054 329.8808 -3.2737 200.5561 3.6577 340.8998 0.0000 1183.5641

3.0214 -3.4054 -3.2737 3.6577 0.0000

14 Q (m) Otros Circuitos Q (m3/s) 0.0000 0.0229 0.0000 0.0139 0.0000 0.0000 -0.0107 0.0000 -0.0271 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

0.0000

0.0097 -0.0103 -0.0163 0.0107