Perdidas De Energia Mecanica Por Friccion En Tuberias
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1,Recto Corrida 1 2 3 4 5 6 7 8 9 10
Corrida 1 2 3 4 5 6 7 8 9 10
Pe(PSIG) 38 35 32 29 26 23 20 18 15 12
Ps(cmHg) 21.9 19.4 17.8 15.8 13.8 12.2 9.9 8.8 6.5 4.3
Pe(kPa) 262.03 241.34 220.66 199.97 179.28 158.6 137.91 124.12 103.43 82.75
Ps(kPa) 29.19 25.86 23.73 21.06 18.39 16.26 13.2 11.73 8.66 5.73
Corrida 1 2 3 4 5 6 7 8 9 10
t1(s) 7.26 7.73 8.22 8.57 8.86 9.43 10.61 11.25 12.11 14.01
t2(s) 6.93 7.89 8.14 8.62 8.95 9.38 10.4 11.34 11.92 13.92
V(lt) 10 10 10 10 10 10 10 10 10 10
ΔP/γ(m) 23.73 21.97 20.07 18.24 16.4 14.51 12.71 11.46 9.66 7.85
t(s) 7.09 7.81 8.18 8.59 8.9 9.41 10.51 11.29 12.02 13.97
V(m3) 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01
Q(m3/s) 0 0 0 0 0 0 0 0 0 0
v(m/s) 9.16 8.32 7.95 7.57 7.3 6.91 6.19 5.76 5.41 4.65
hL(m) 23.73 21.97 20.07 18.24 16.4 14.51 12.71 11.46 9.66 7.85
LR(m) 3.02E+00 3.02E+00 3.02E+00 3.02E+00 3.02E+00 3.02E+00 3.02E+00 3.02E+00 3.02E+00 3.02E+00
v(m/s) 9.16 8.32 7.95 7.57 7.3 6.91 6.19 5.76 5.41 4.65
D (m) 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01
ƒ
Corrida 1 2 3 4 5 6 7 8 9
v(m/s) 9.16 8.32 7.95 7.57 7.3 6.91 6.19 5.76 5.41
D (m) 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01
0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.03
Re 159523.43 144936.79 138354.39 131735.41 127097.42 120327.36 107717.98 100211.53 94193.84
10
4.65
0.01
Número de Reynolds Vs. Factor de fricción
Factor de fricción
0.1
Column H
0.01 Row 31
Row 32
Row 33
Row 34
Row 35
Row 36
Row 37
Número de Reynolds
Row 38
Row 39
Row 40
81038.2
2,45° Corrida 1 2 3
Pe(PSIG) 38 35 30
Ps(cmHg) 13.2 12.2 10
t1(s) 8.86 9.36 10.06
t2(s) 8.33 9.36 9.89
V(lt) 10 10 10
No. de codos 12 12 12
Corrida 1 2 3
Pe(kPa) 262.03 241.34 206.86
Ps(kPa) 17.59 16.26 13.33
(Pe-Ps)/γ(m) 24.92 22.94 19.73
t(s) 8.59 9.36 9.97
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 7.56 6.95 6.52
Corrida 1 2 3
v(m/s) 7.56 6.95 6.52
D(m) 0.01 0.01 0.01
Re 131704.75 120944.58 113480.29
Corrida 1 2 3
hL(m) 2.49E+01 2.29E+01 1.97E+01
v(m/s) 7.56 6.95 6.52
D(m) 0.01 0.01 0.01
LR(m) 3.09 3.09 3.09
ƒ 0.03 0.03 0.03
Le(m) 1.04 1.58 1.53
K 2.16 3.16 3.03
3,180° 1 Corrida 1 2 3
Pe(PSIG) 40 37 34
Ps(cmHg) 2.8 2.1 1.6
t1(s) 14.83 15.38 16.01
t2(s) 14.94 15.18 15.98
V(lt) 10 10 10
No. de codos 4 4 4
Corrida 1 2 3
Pe(kPa) 275.82 255.13 234.45
Ps(kPa) 3.73 2.8 2.13
(Pe-Ps)/γ(m) 27.74 25.72 23.68
t(s) 14.89 15.28 16
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 4.37 4.25 4.06
Corrida 1 2 3
v(m/s) 4.37 4.25 4.06
D(m) 0.01 0.01 0.01
Re 76024.51 74052.15 70755.79
Corrida 1 2 3
hL(m) 27.74 25.72 23.68
v(m/s) 4.37 4.25 4.06
D(m) 0.01 0.01 0.01
LR(m) 14.86 14.86 14.86
ƒ 0.03 0.03 0.03
Le(m) -2.54 -2.87 -2.86
K -5.89 -6.68 -6.7
4,180° 2 Corrida 1 2 3
Pe(PSIG) 40 37 34
Ps(cmHg) 3.6 2.7 1.9
t1(s) 12.69 13.5 14.44
t2(s) 12.65 12.92 14.33
V(lt) 10 10 10
No. de codos 16 16 16
Corrida 1 2 3
Pe(kPa) 275.82 255.13 234.45
Ps(kPa) 4.8 3.6 2.53
(Pe-Ps)/γ(m) 27.63 25.64 23.64
t(s) 12.67 13.21 14.39
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 5.13 4.92 4.52
Corrida 1 2 3
v(m/s) 5.13 4.92 4.52
D(m) 0.01 0.01 0.01
Re 89317.26 85663.17 78672.2
Corrida 1 2 3
hL(m) 27.63 25.64 23.64
v(m/s) 5.13 4.92 4.52
D(m) 0.01 0.01 0.01
LR(m) 3.23 3.23 3.23
ƒ 0.03 0.03 0.03
Le(m) 5.92 5.93 6.63
K 13.33 13.46 15.28
5, Val. Globo Corrida 1 2 3
Pe(PSIG) 39 36 34
Ps(cmHg) 1.6 1 0.7
t1(s) 15.71 16.56 18.08
t2(s) 15.51 16.54 17.75
V(lt) 10 10 10
No.de Val. 5 5 5
Corrida 1 2 3
Pe(kPa) 268.92 248.24 234.45
Ps(kPa) 21.33 13.33 9.33
(Pe-Ps)/γ(m) 25.24 23.95 22.95
t(s) 15.61 16.55 17.92
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 4.16 3.93 3.63
Corrida 1 2 3
v(m/s) 4.16 3.93 3.63
D(m) 0.01 0.01 0.01
Re 72505.54 68391.28 63169.18
Corrida 1 2 3
hL(m) 25.24 23.95 22.95
v(m/s) 4.16 3.93 3.63
D(m) 0.01 0.01 0.01
LR(m) 2.64 2.64 2.64
ƒ 0.03 0.03 0.03
Le(m) 9.59 10.28 11.71
K 22.39 24.23 27.92
6, Val. Comp Corrida 1 2 3
Pe(PSIG) 30 25 20
Ps(cmHg) 17.6 13.8 10.4
t1(s) 8.3 9.34 10.55
t2(s) 7.94 9.23 10.61
V(lt) 10 10 10
No.de Val. 5 5 5
Corrida 1 2 3
Pe(kPa) 206.86 172.39 137.91
Ps(kPa) 23.46 18.39 13.86
(Pe-Ps)/γ(m) 18.7 15.7 12.64
t(s) 8.12 9.28 10.58
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 8 7 6.14
Corrida 1 2 3
v(m/s) 8 7 6.14
D(m) 0.01 0.01 0.01
Re 139350.97 121895.52 106989.88
Corrida 1 2 3
hL(m) 18.7 15.7 12.64
v(m/s) 8 7 6.14
D(m) 0.01 0.01 0.01
LR(m) 2.74 2.74 2.74
ƒ 0.03 0.03 0.03
Le(m) 2.87 3.02 3.04
K 5.73 6.28 6.57
7, codo90° largo Corrida Pe(PSIG) 1 30 2 25 3 20
Ps(cmHg) 7.1 5.3 3.1
t1(s) 11.33 12.66 14.25
t2(s) 11.15 12.15 14.14
V(lt) 10 10 10
No. de codos 12 12 12
t(s) 11.24 12.4 14.19
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 5.78 5.24 4.58
LR(m) 4.27 4.27 4.27
ƒ 0.03 0.03 0.03
Le(m) 1.12 1.11 1.28
K 2.44 2.48 2.95
Corrida 1 2 3
Pe(kPa) 206.86 172.39 137.91
Ps(kPa) 9.46 7.06 4.13
(Pe-Ps)/γ(m) 20.12 16.85 13.64
Corrida 1 2 3
v(m/s) 5.78 5.24 4.58
D(m) 0.01 0.01 0.01
Re 100710.92 91250.87 79733.62
Corrida 1 2 3
hL(m) 20.12 16.85 13.64
v(m/s) 5.78 5.24 4.58
D(m) 0.01 0.01 0.01
8, codos90°corto Corrida Pe(PSIG) 1 35 2 30 3 25
Ps(cmHg) 7 5.2 3.4
t1(s) 11.8 13.3 14.03
t2(s) 11.57 12.99 13.93
V(lt) 10 10 10
No. de codos 12 12 12
t(s) 11.69 13.15 13.98
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 5.56 4.94 4.65
LR(m) 4.4 4.4 4.4
ƒ 0.03 0.03 0.03
Le(m) 2.38 2.82 2.37
K 5.27 6.39 5.45
Corrida 1 2 3
Pe(kPa) 241.34 206.86 172.39
Ps(kPa) 9.33 6.93 4.53
(Pe-Ps)/γ(m) 23.65 20.38 17.11
Corrida 1 2 3
v(m/s) 5.56 4.94 4.65
D(m) 0.01 0.01 0.01
Re 96841.56 86096.53 80959.94
Corrida 1 2 3
hL(m) 23.65 20.38 17.11
v(m/s) 5.56 4.94 4.65
D(m) 0.01 0.01 0.01
Corrida 1 2 3 4 5 6 7 8 9 10
Pe(PSIG) 38 35 32 29 26 23 20 18 15 12
Ps(cmHg) 21.9 19.4 17.8 15.8 13.8 12.2 9.9 8.8 6.5 4.3
Pe(kPa) 262.03 241.34 220.66 199.97 179.28 158.6 137.91 124.12 103.43 82.75
Ps(kPa) 29.19 25.86 23.73 21.06 18.39 16.26 13.2 11.73 8.66 5.73
Corrida 1 2 3 4 5 6 7 8 9 10
t1(s) 7.26 7.73 8.22 8.57 8.86 9.43 10.61 11.25 12.11 14.01
t2(s) 6.93 7.89 8.14 8.62 8.95 9.38 10.4 11.34 11.92 13.92
V(lt) 10 10 10 10 10 10 10 10 10 10
ΔP/γ(m) 23.73 21.97 20.07 18.24 16.4 14.51 12.71 11.46 9.66 7.85
t(s) 7.09 7.81 8.18 8.59 8.9 9.41 10.51 11.29 12.02 13.97
V(m3) 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01
Q(m3/s) 0 0 0 0 0 0 0 0 0 0
v(m/s) 9.16 8.32 7.95 7.57 7.3 6.91 6.19 5.76 5.41 4.65
hL(m) 23.73 21.97 20.07 18.24 16.4 14.51 12.71 11.46 9.66 7.85
LR(m) 3.02E+00 3.02E+00 3.02E+00 3.02E+00 3.02E+00 3.02E+00 3.02E+00 3.02E+00 3.02E+00 3.02E+00
v(m/s) 9.16 8.32 7.95 7.57 7.3 6.91 6.19 5.76 5.41 4.65
D (m) 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01
ƒ
Corrida 1 2 3 4 5 6 7 8 9
v(m/s) 9.16 8.32 7.95 7.57 7.3 6.91 6.19 5.76 5.41
D (m) 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01
0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.03
Re 159523.43 144936.79 138354.39 131735.41 127097.42 120327.36 107717.98 100211.53 94193.84
10
4.65
0.01
Número de Reynolds Vs. Factor de fricción
Factor de fricción
0.1
Column H
0.01 Row 31
Row 32
Row 33
Row 34
Row 35
Row 36
Row 37
Número de Reynolds
Row 38
Row 39
Row 40
81038.2
2,45° Corrida 1 2 3
Pe(PSIG) 38 35 30
Ps(cmHg) 13.2 12.2 10
t1(s) 8.86 9.36 10.06
t2(s) 8.33 9.36 9.89
V(lt) 10 10 10
No. de codos 12 12 12
Corrida 1 2 3
Pe(kPa) 262.03 241.34 206.86
Ps(kPa) 17.59 16.26 13.33
(Pe-Ps)/γ(m) 24.92 22.94 19.73
t(s) 8.59 9.36 9.97
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 7.56 6.95 6.52
Corrida 1 2 3
v(m/s) 7.56 6.95 6.52
D(m) 0.01 0.01 0.01
Re 131704.75 120944.58 113480.29
Corrida 1 2 3
hL(m) 2.49E+01 2.29E+01 1.97E+01
v(m/s) 7.56 6.95 6.52
D(m) 0.01 0.01 0.01
LR(m) 3.09 3.09 3.09
ƒ 0.03 0.03 0.03
Le(m) 1.04 1.58 1.53
K 2.16 3.16 3.03
3,180° 1 Corrida 1 2 3
Pe(PSIG) 40 37 34
Ps(cmHg) 2.8 2.1 1.6
t1(s) 14.83 15.38 16.01
t2(s) 14.94 15.18 15.98
V(lt) 10 10 10
No. de codos 4 4 4
Corrida 1 2 3
Pe(kPa) 275.82 255.13 234.45
Ps(kPa) 3.73 2.8 2.13
(Pe-Ps)/γ(m) 27.74 25.72 23.68
t(s) 14.89 15.28 16
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 4.37 4.25 4.06
Corrida 1 2 3
v(m/s) 4.37 4.25 4.06
D(m) 0.01 0.01 0.01
Re 76024.51 74052.15 70755.79
Corrida 1 2 3
hL(m) 27.74 25.72 23.68
v(m/s) 4.37 4.25 4.06
D(m) 0.01 0.01 0.01
LR(m) 14.86 14.86 14.86
ƒ 0.03 0.03 0.03
Le(m) -2.54 -2.87 -2.86
K -5.89 -6.68 -6.7
4,180° 2 Corrida 1 2 3
Pe(PSIG) 40 37 34
Ps(cmHg) 3.6 2.7 1.9
t1(s) 12.69 13.5 14.44
t2(s) 12.65 12.92 14.33
V(lt) 10 10 10
No. de codos 16 16 16
Corrida 1 2 3
Pe(kPa) 275.82 255.13 234.45
Ps(kPa) 4.8 3.6 2.53
(Pe-Ps)/γ(m) 27.63 25.64 23.64
t(s) 12.67 13.21 14.39
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 5.13 4.92 4.52
Corrida 1 2 3
v(m/s) 5.13 4.92 4.52
D(m) 0.01 0.01 0.01
Re 89317.26 85663.17 78672.2
Corrida 1 2 3
hL(m) 27.63 25.64 23.64
v(m/s) 5.13 4.92 4.52
D(m) 0.01 0.01 0.01
LR(m) 3.23 3.23 3.23
ƒ 0.03 0.03 0.03
Le(m) 5.92 5.93 6.63
K 13.33 13.46 15.28
5, Val. Globo Corrida 1 2 3
Pe(PSIG) 39 36 34
Ps(cmHg) 1.6 1 0.7
t1(s) 15.71 16.56 18.08
t2(s) 15.51 16.54 17.75
V(lt) 10 10 10
No.de Val. 5 5 5
Corrida 1 2 3
Pe(kPa) 268.92 248.24 234.45
Ps(kPa) 21.33 13.33 9.33
(Pe-Ps)/γ(m) 25.24 23.95 22.95
t(s) 15.61 16.55 17.92
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 4.16 3.93 3.63
Corrida 1 2 3
v(m/s) 4.16 3.93 3.63
D(m) 0.01 0.01 0.01
Re 72505.54 68391.28 63169.18
Corrida 1 2 3
hL(m) 25.24 23.95 22.95
v(m/s) 4.16 3.93 3.63
D(m) 0.01 0.01 0.01
LR(m) 2.64 2.64 2.64
ƒ 0.03 0.03 0.03
Le(m) 9.59 10.28 11.71
K 22.39 24.23 27.92
6, Val. Comp Corrida 1 2 3
Pe(PSIG) 30 25 20
Ps(cmHg) 17.6 13.8 10.4
t1(s) 8.3 9.34 10.55
t2(s) 7.94 9.23 10.61
V(lt) 10 10 10
No.de Val. 5 5 5
Corrida 1 2 3
Pe(kPa) 206.86 172.39 137.91
Ps(kPa) 23.46 18.39 13.86
(Pe-Ps)/γ(m) 18.7 15.7 12.64
t(s) 8.12 9.28 10.58
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 8 7 6.14
Corrida 1 2 3
v(m/s) 8 7 6.14
D(m) 0.01 0.01 0.01
Re 139350.97 121895.52 106989.88
Corrida 1 2 3
hL(m) 18.7 15.7 12.64
v(m/s) 8 7 6.14
D(m) 0.01 0.01 0.01
LR(m) 2.74 2.74 2.74
ƒ 0.03 0.03 0.03
Le(m) 2.87 3.02 3.04
K 5.73 6.28 6.57
7, codo90° largo Corrida Pe(PSIG) 1 30 2 25 3 20
Ps(cmHg) 7.1 5.3 3.1
t1(s) 11.33 12.66 14.25
t2(s) 11.15 12.15 14.14
V(lt) 10 10 10
No. de codos 12 12 12
t(s) 11.24 12.4 14.19
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 5.78 5.24 4.58
LR(m) 4.27 4.27 4.27
ƒ 0.03 0.03 0.03
Le(m) 1.12 1.11 1.28
K 2.44 2.48 2.95
Corrida 1 2 3
Pe(kPa) 206.86 172.39 137.91
Ps(kPa) 9.46 7.06 4.13
(Pe-Ps)/γ(m) 20.12 16.85 13.64
Corrida 1 2 3
v(m/s) 5.78 5.24 4.58
D(m) 0.01 0.01 0.01
Re 100710.92 91250.87 79733.62
Corrida 1 2 3
hL(m) 20.12 16.85 13.64
v(m/s) 5.78 5.24 4.58
D(m) 0.01 0.01 0.01
8, codos90°corto Corrida Pe(PSIG) 1 35 2 30 3 25
Ps(cmHg) 7 5.2 3.4
t1(s) 11.8 13.3 14.03
t2(s) 11.57 12.99 13.93
V(lt) 10 10 10
No. de codos 12 12 12
t(s) 11.69 13.15 13.98
V(m3) 0.01 0.01 0.01
Q(m3/s) 0 0 0
v(m/s) 5.56 4.94 4.65
LR(m) 4.4 4.4 4.4
ƒ 0.03 0.03 0.03
Le(m) 2.38 2.82 2.37
K 5.27 6.39 5.45
Corrida 1 2 3
Pe(kPa) 241.34 206.86 172.39
Ps(kPa) 9.33 6.93 4.53
(Pe-Ps)/γ(m) 23.65 20.38 17.11
Corrida 1 2 3
v(m/s) 5.56 4.94 4.65
D(m) 0.01 0.01 0.01
Re 96841.56 86096.53 80959.94
Corrida 1 2 3
hL(m) 23.65 20.38 17.11
v(m/s) 5.56 4.94 4.65
D(m) 0.01 0.01 0.01
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