1. Tarea domiciliaria:
Villanueva Portella Jhon Gesell
Elaborar la gráfica de variación de energía específica vs el tirante para un canal
rectangular de 4m de ancho de la base, pendiente 0.0008, n=0.016 y para un caudal de
10 m3/s y 20 m3/s.
Solución:
Q1=10 m3/s
S=0.0008
N=0.016
Q1=10m3/s
Q2=20m3/s
b=4m
H=2.5
y A (Q/A)=V (V^2)/2g y+((v^2)/2g)=E
0.1 0.4 25 31.8552497452 31.9552497452
0.2 0.8 12.5 7.9638124363 8.1638124363
0.3 1.2 8.3333333333 3.5394721939 3.8394721939
0.4 1.6 6.25 1.9909531091 2.3909531091
0.5 2 5 1.2742099898 1.7742099898
0.6 2.4 4.1666666667 0.8848680485 1.4848680485
0.7 2.8 3.5714285714 0.6501071377 1.3501071377
0.8 3.2 3.125 0.4977382773 1.2977382773
0.9 3.6 2.7777777778 0.3932746882 1.2932746882
1 4 2.5 0.3185524975 1.3185524975
1.1 4.4 2.2727272727 0.2632665268 1.3632665268
1.2 4.8 2.0833333333 0.2212170121 1.4212170121
1.3 5.2 1.9230769231 0.188492602 1.488492602
1.4 5.6 1.7857142857 0.1625267844 1.5625267844
1.5 6 1.6666666667 0.1415788878 1.6415788878
1.6 6.4 1.5625 0.1244345693 1.7244345693
1.7 6.8 1.4705882353 0.1102257777 1.8102257777
1.8 7.2 1.3888888889 0.0983186721 1.8983186721
1.9 7.6 1.3157894737 0.088241689 1.988241689
2 8 1.25 0.0796381244 2.0796381244
2.1 8.4 1.1904761905 0.0722341264 2.1722341264
2.2 8.8 1.1363636364 0.0658166317 2.2658166317
2.3 9.2 1.0869565217 0.0602178634 2.3602178634
2.4 9.6 1.0416666667 0.055304253 2.455304253
2.5 10 1 0.0509683996 2.5509683996

2. Q2=20 m3/s
y A (Q/A)=V (V^2)/2g y+((v^2)/2g)=E
0.1 0.4 50 127.4209989806 127.5209989806
0.2 0.8 25 31.8552497452 32.0552497452
0.3 1.2 16.6666666667 14.1578887756 14.4578887756
0.4 1.6 12.5 7.9638124363 8.3638124363
0.5 2 10 5.0968399592 5.5968399592
0.6 2.4 8.3333333333 3.5394721939 4.1394721939
0.7 2.8 7.1428571429 2.6004285506 3.3004285506
0.8 3.2 6.25 1.9909531091 2.7909531091
0.9 3.6 5.5555555556 1.5730987528 2.4730987528
1 4 5 1.2742099898 2.2742099898
1.1 4.4 4.5454545455 1.0530661073 2.1530661073
1.2 4.8 4.1666666667 0.8848680485 2.0848680485
1.3 5.2 3.8461538462 0.7539704082 2.0539704082
1.4 5.6 3.5714285714 0.6501071377 2.0501071377
1.5 6 3.3333333333 0.566315551 2.066315551
1.6 6.4 3.125 0.4977382773 2.0977382773
1.7 6.8 2.9411764706 0.4409031107 2.1409031107
1.8 7.2 2.7777777778 0.3932746882 2.1932746882
1.9 7.6 2.6315789474 0.3529667562 2.2529667562
2 8 2.5 0.3185524975 2.3185524975
2.1 8.4 2.380952381 0.2889365056 2.3889365056
2.2 8.8 2.2727272727 0.2632665268 2.4632665268
2.3 9.2 2.1739130435 0.2408714536 2.5408714536
2.4 9.6 2.0833333333 0.2212170121 2.6212170121
2.5 10 2 0.2038735984 2.7038735984

3. Tabla de Valores de E e Y para Q1 y Q2:
Q1 Q2
E1 Y E2 Y
31.955249745 0.1 127.5209989806 0.1
8.1638124363 0.2 32.0552497452 0.2
3.8394721939 0.3 14.4578887756 0.3
2.3909531091 0.4 8.3638124363 0.4
1.7742099898 0.5 5.5968399592 0.5
1.4848680485 0.6 4.1394721939 0.6
1.3501071377 0.7 3.3004285506 0.7
1.2977382773 0.8 2.7909531091 0.8
1.2932746882 0.9 2.4730987528 0.9
1.3185524975 1 2.2742099898 1
1.3632665268 1.1 2.1530661073 1.1
1.4212170121 1.2 2.0848680485 1.2
1.488492602 1.3 2.0539704082 1.3
1.5625267844 1.4 2.0501071377 1.4
1.6415788878 1.5 2.066315551 1.5
1.7244345693 1.6 2.0977382773 1.6
1.8102257777 1.7 2.1409031107 1.7
1.8983186721 1.8 2.1932746882 1.8
1.988241689 1.9 2.2529667562 1.9
2.0796381244 2 2.3185524975 2
2.1722341264 2.1 2.3889365056 2.1
2.2658166317 2.2 2.4632665268 2.2
2.3602178634 2.3 2.5408714536 2.3
2.455304253 2.4 2.6212170121 2.4
2.5509683996 2.5 2.7038735984 2.5

4. 0 20 40 60 80 100 120 140
0
0.5
1
1.5
2
2.5
3
E vs Y
Para: Q1=10 m/s ; Q2=20m/s
Columna B
Columna D
E
Y