Cálculo de curva de remanso

DatosQ (m3/s) 0.8Forma TrapezoidalMaterial concreto, n= 0.014 0.014z 2B (m) 0.8S 5 por 10000 0.0005

Llega hasta una caída libre. Calcular el perfil de flujo hasta 0.95 yn

Calcular las condiciones de bordeTirante normal

y (m) A (m2) P (m) R (m) AR^(2/3) S^(1/2)/n0 0.000 0.800 0.000 0.000

0.1 0.100 1.247 0.080 0.0300.2 0.240 1.694 0.142 0.1040.3 0.420 2.142 0.196 0.2260.4 0.640 2.589 0.247 0.4030.5 0.900 3.036 0.296 0.6390.6 1.200 3.483 0.345 0.942

0.55 1.045 3.260 0.321 0.7820.575 1.121 3.371 0.333 0.860

0.5625 1.083 3.316 0.327 0.8200.55625 1.064 3.288 0.324 0.801

Tirante crítico yc (m)Q (m3/s) 0.8Fr =U / (g D)^0.5 = 1

y (m) A (m2) T (m) D= A/T (m) U(m/s) = Q /A Fr 0 0.000 0.8 0 N.D.

0.1 0.100 1.2 0.0833333 8 8.849824650.2 0.240 1.6 0.15 3.333333333 2.748445760.3 0.420 2 0.21 1.904761905 1.327348930.4 0.640 2.4 0.2666667 1.25 0.77300037

0.35 0.525 2.2 0.2386364 1.523809524 0.996130940.325 0.471 2.1 0.2244048 1.697612732 1.14439683

0.3375 0.498 2.15 0.2315407 1.60703076 1.066509130.34375 0.511 2.175 0.2350934 1.564553094 1.03044342

0.346875 0.518 2.1875 0.2368661 1.543970749 1.013075230.3484375 0.522 2.19375 0.2377515 1.533838247 1.00455096

UNI-FIC-Mecánica de Fluidos II HH-224 J. Julio Kuroiwa Z.

Condiciones de bordeAguas abajo yc (m) 0.348Aguas arriba yn (m) 0.556Q (m3/s) 0.8Forma Trapezoidaln 0.014z 2B (m) 0.8So 5 por 10000 0.0005

Usando la Ecuación 10

1 2 3 4 5 6 7 8 9 10 11 12 13

y (m) A (m2) P (m) R (m) u(m/s)=Q /A u^2/(2 g) (m) Es(m)

Sf= (n^2.u^2)/(R^

(4/3)Sf m = (Sf0 +

Sf1)/2 So - Sfm ΔE (m) Δx (m) x (m)0.348 0.521 2.356 0.221 1.53666482 0.12040275 0.46840275 0.00346504 0.000

0.00324469 -0.00274469 0.00058204 -0.212 -0.2120.360 0.547 2.410 0.227 1.4619883 0.1089848 0.4689848 0.00302434

0.00272788 -0.00222788 0.00387799 -1.741 -1.9530.380 0.593 2.499 0.237 1.34952767 0.09286278 0.47286278 0.00243142

0.00220263 -0.00170263 0.00680783 -3.998 -5.9510.400 0.640 2.589 0.247 1.25 0.07967061 0.47967061 0.00197384

0.00159503 -0.00109503 0.02609099 -23.827 -29.7780.450 0.765 2.812 0.272 1.04575163 0.0557616 0.5057616 0.00121622

0.00099987 -0.00049987 0.03452616 -69.071 -98.8490.500 0.900 3.036 0.296 0.88888889 0.04028776 0.54028776 0.00078351

0.00069811 -0.00019811 0.02329223 -117.570 -216.4190.53 0.986 3.170 0.311 0.81152364 0.03357998 0.56357998 0.00061272

UNI-FIC-Mecánica de Fluidos II HH-224 J. Julio Kuroiwa

Condiciones de bordeAguas abajo yc (m) 0.348Aguas arriba yn (m) 0.556Q (m3/s) 0.8Forma Trapezoidaln 0.014z 2B (m) 0.8So 5 por 10000 0.0005

Usando la Ecuación 10

1 2 3 4 5 6 7 8 9 10 11 12 13

y (m) A (m2) P (m) R (m) u(m/s)=Q /A u^2/(2 g) (m) Es(m)

Sf= (n^2.u^2)/(R^

(4/3)Sf m = (Sf0 +

Sf1)/2 So - Sfm ΔE (m) Δx (m) x (m)0.348 0.521 2.356 0.221 1.53666482 0.12040275 0.46840275 0.00346504 0.000

0.00271944 -0.00221944 0.01126786 -5.077 -5.0770.400 0.640 2.589 0.247 1.25 0.07967061 0.47967061 0.00197384

0.00159503 -0.00109503 0.02609099 -23.827 -28.9040.450 0.765 2.812 0.272 1.04575163 0.0557616 0.5057616 0.00121622

0.00099987 -0.00049987 0.03452616 -69.071 -97.9740.500 0.900 3.036 0.296 0.88888889 0.04028776 0.54028776 0.00078351

0.00069811 -0.00019811 0.02329223 -117.570 -215.5450.530 0.986 3.170 0.311 0.81152364 0.03357998 0.56357998 0.00061272

0.00056813 -6.8128E-05 0.01630311 -239.301 -454.8460.550 1.045 3.260 0.321 0.76555024 0.02988309 0.57988309 0.00052354

UNI-FIC-Mecánica de Fluidos II HH224-J. Julio Kuroiwa Z.

Condiciones de bordeAguas abajo yc (m) 0.348Aguas arriba yn (m) 0.556Q (m3/s) 0.8Forma Trapezoidaln 0.014z 2B (m) 0.8So 5 por 10000 0.0005

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

Estación (m) Z (msnm) y (m) A (m2) P (m) R (m) u(m/s)

=Q /Au^2/(2 g) (m) H1 (m)

Sf= (n^2.u^2)/(R

^(4/3)

Sf m = (Sf0 + Sf1)/2

DX (m) hf(m) H (m) T (m) D(m) Fr2 DY2 (m)

0 100 0.348 0.521 2.356 0.221 1.537 0.120 100.468 0.00346504 100.46820 100.01 0.348 0.521 2.356 0.221 1.537 0.120 100.478 0.00346504 0.00347 20 0.069 100.538 2.192 0.238 1.007 -0.1299

100.01 0.478 0.839 2.937 0.286 0.953 0.046 100.534 0.0009471 0.00221 20 0.044 100.513 2.712 0.309 0.547 0.0271100.01 0.451 0.767 2.816 0.272 1.043 0.055 100.516 0.001208 0.00234 20 0.047 100.515 2.603 0.295 0.614 0.0014

40 100.02 0.451 0.768 2.817 0.272 1.042 0.055 100.526 0.00120509 0.00121 20 0.024 100.540 2.604 0.295 0.613 -0.0185100.02 0.469 0.816 2.899 0.282 0.980 0.049 100.538 0.00102008 0.00111 20 0.022 100.539 2.678 0.305 0.567 -0.0001100.02 0.470 0.817 2.900 0.282 0.980 0.049 100.538 0.00101917 0.00111 20 0.022 100.538 2.678 0.305 0.567 0.0000

60 100.03 0.470 0.818 2.902 0.282 0.978 0.049 100.549 0.00101513 0.00102 20 0.020 100.559 2.680 0.305 0.566 -0.0127100.03 0.483 0.852 2.959 0.288 0.939 0.045 100.558 0.00090789 0.00096 20 0.019 100.558 2.731 0.312 0.537 -0.0001

80 100.04 0.483 0.853 2.960 0.288 0.9379 0.045 100.568 0.00090582 0.00091 20 0.018 100.576 2.732 0.312 0.536 -0.0099100.04 0.493 0.880 3.004 0.293 0.909 0.042 100.575 0.00083235 0.00087 20 0.017 100.575 2.771 0.318 0.515 -0.0001

100 100.05 0.490 0.872 2.991 0.292 0.9172 0.043 100.583 0.00085285 0.00084 20 0.017 100.617 2.760 0.316 0.521 -0.0419100.05 0.532 0.991 3.179 0.312 0.8069 0.033 100.615 0.00060341 0.00072 20 0.014 100.589 2.928 0.339 0.443 0.0299100.05 0.502 0.906 3.045 0.297 0.8834 0.040 100.592 0.0007704 0.0008 20 0.016 100.591 2.808 0.323 0.497 0.0009

UNI-FIC-Mecánica de Fluidos II HH-224J- Julio Kuroiwa Z,