Top Banner
moto laminare Re l 1.0E+02 0.640 2.0E+03 0.032 2.0E+03 0.032 6.0E+03 0.011 moto turbolento di transizione 0 0.01 1.1 1.01 Re l Re l Re 2.8E+09 0.004 8.3E+04 0.039 2.3E+05 1.1E+09 0.004 5.3E+04 0.039 1.2E+05 4.9E+08 0.005 3.9E+04 0.039 7.7E+04 2.2E+08 0.005 3.1E+04 0.040 5.6E+04 9.9E+07 0.006 2.5E+04 0.040 4.3E+04 4.7E+07 0.007 2.1E+04 0.041 3.5E+04 2.3E+07 0.007 1.8E+04 0.041 2.9E+04 1.2E+07 0.008 1.6E+04 0.041 2.4E+04 6.1E+06 0.009 1.4E+04 0.042 2.1E+04 3.3E+06 0.010 1.2E+04 0.042 1.8E+04 1.8E+06 0.011 1.1E+04 0.043 1.6E+04 1.0E+06 0.012 1.0E+04 0.043 1.4E+04 6.0E+05 0.013 9.2E+03 0.043 1.2E+04 3.5E+05 0.014 8.4E+03 0.044 1.1E+04 2.1E+05 0.015 7.8E+03 0.044 9.8E+03 1.3E+05 0.017 7.2E+03 0.045 8.8E+03 8.4E+04 0.019 6.7E+03 0.045 8.0E+03 5.4E+04 0.021 6.2E+03 0.046 7.2E+03 3.6E+04 0.023 5.8E+03 0.046 6.6E+03 2.4E+04 0.025 5.4E+03 0.047 6.0E+03 1.6E+04 0.027 5.1E+03 0.047 5.5E+03 1.1E+04 0.030 4.8E+03 0.048 5.0E+03 7.8E+03 0.033 4.5E+03 0.048 4.6E+03 5.5E+03 0.036 4.3E+03 0.049 4.3E+03 4.0E+03 0.040 4.0E+03 0.049 3.9E+03 8.3E+04 0.0385907 2.3E+05 1.3E+05 0.037869 3.6E+05 1.00E+08 0.037869 1.00E+08 e/D = moto purament e turbolen to 1.0E+02 1.0E+03 0.001 0.010 0.100 e/D = 0 0.05 0.02 0.01 0.003 0.001 0.0001 0.00001 l
27

948 Colebrook White

Jan 04, 2016

Download

Documents

Colebrook-white
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: 948 Colebrook White

mot

o la

min

are

Re l1.0E+02 0.6402.0E+03 0.032

2.0E+03 0.0326.0E+03 0.011

mot

o tu

rbol

ent

o d

i tra

nsiz

ione

0 0.01 0.0031.1 1.01 1.02

Re l Re l Re l2.8E+09 0.004 8.3E+04 0.039 2.3E+05 0.0271.1E+09 0.004 5.3E+04 0.039 1.2E+05 0.0274.9E+08 0.005 3.9E+04 0.039 7.7E+04 0.0282.2E+08 0.005 3.1E+04 0.040 5.6E+04 0.0289.9E+07 0.006 2.5E+04 0.040 4.3E+04 0.0294.7E+07 0.007 2.1E+04 0.041 3.5E+04 0.0302.3E+07 0.007 1.8E+04 0.041 2.9E+04 0.0301.2E+07 0.008 1.6E+04 0.041 2.4E+04 0.0316.1E+06 0.009 1.4E+04 0.042 2.1E+04 0.0313.3E+06 0.010 1.2E+04 0.042 1.8E+04 0.0321.8E+06 0.011 1.1E+04 0.043 1.6E+04 0.0331.0E+06 0.012 1.0E+04 0.043 1.4E+04 0.0336.0E+05 0.013 9.2E+03 0.043 1.2E+04 0.0343.5E+05 0.014 8.4E+03 0.044 1.1E+04 0.0352.1E+05 0.015 7.8E+03 0.044 9.8E+03 0.0351.3E+05 0.017 7.2E+03 0.045 8.8E+03 0.0368.4E+04 0.019 6.7E+03 0.045 8.0E+03 0.0375.4E+04 0.021 6.2E+03 0.046 7.2E+03 0.0373.6E+04 0.023 5.8E+03 0.046 6.6E+03 0.0382.4E+04 0.025 5.4E+03 0.047 6.0E+03 0.0391.6E+04 0.027 5.1E+03 0.047 5.5E+03 0.0401.1E+04 0.030 4.8E+03 0.048 5.0E+03 0.0417.8E+03 0.033 4.5E+03 0.048 4.6E+03 0.0415.5E+03 0.036 4.3E+03 0.049 4.3E+03 0.0424.0E+03 0.040 4.0E+03 0.049 3.9E+03 0.043

8.3E+04 0.038591 2.3E+05 0.0267341.3E+05 0.037869 3.6E+05 0.026145

1.00E+08 0.037869 1.00E+08 0.026145

e/D =

mot

o pu

ram

ente

tu

rbo

len

to

1.0E+02 1.0E+03 1.0E+04 1.0E+05 1.0E+06 1.0E+07 1.0E+080.001

0.010

0.100

e/D = 00.050.020.010.0030.0010.00010.00001

Re

l

Page 2: 948 Colebrook White

0.001 0.0001 0.000011.03 1.051 1.069

Re l Re l Re l5.5E+05 0.020 1.3E+07 0.012 2.6E+09 0.0082.5E+05 0.021 2.2E+06 0.013 1.9E+07 0.0091.5E+05 0.021 1.0E+06 0.013 7.5E+06 0.0091.1E+05 0.022 6.2E+05 0.014 3.9E+06 0.0107.9E+04 0.023 4.1E+05 0.015 2.3E+06 0.0116.1E+04 0.023 2.8E+05 0.016 1.4E+06 0.0114.9E+04 0.024 2.1E+05 0.016 9.2E+05 0.0124.0E+04 0.025 1.5E+05 0.017 6.1E+05 0.0133.3E+04 0.026 1.1E+05 0.018 4.1E+05 0.0142.8E+04 0.026 8.8E+04 0.019 2.9E+05 0.0152.3E+04 0.027 6.8E+04 0.020 2.0E+05 0.0162.0E+04 0.028 5.3E+04 0.021 1.4E+05 0.0171.7E+04 0.029 4.2E+04 0.022 1.0E+05 0.0181.5E+04 0.030 3.4E+04 0.023 7.4E+04 0.0191.3E+04 0.031 2.7E+04 0.024 5.5E+04 0.0211.1E+04 0.031 2.2E+04 0.026 4.0E+04 0.0221.0E+04 0.032 1.8E+04 0.027 3.0E+04 0.0238.8E+03 0.033 1.4E+04 0.028 2.3E+04 0.0257.8E+03 0.034 1.2E+04 0.030 1.7E+04 0.0276.9E+03 0.035 9.8E+03 0.031 1.3E+04 0.0296.2E+03 0.036 8.1E+03 0.033 1.0E+04 0.0315.5E+03 0.038 6.8E+03 0.034 8.1E+03 0.0334.9E+03 0.039 5.7E+03 0.036 6.3E+03 0.0354.4E+03 0.040 4.8E+03 0.038 5.0E+03 0.0374.0E+03 0.041 4.0E+03 0.040 4.0E+03 0.040

5.5E+05 0.020169 1.3E+07 0.012123 2.6E+09 0.0080658.6E+05 0.019623 2.0E+07 0.011974 4.1E+09 0.00806

1.00E+08 0.019623 1.00E+08 0.011974 1.00E+08 0.00806

1.0E+02 1.0E+03 1.0E+04 1.0E+05 1.0E+06 1.0E+07 1.0E+080.001

0.010

0.100

e/D = 00.050.020.010.0030.0010.00010.00001

Re

l

Page 3: 948 Colebrook White

0.02 0.051.006 1.003

Re l Re l4.9E+04 0.049 1.2E+05 0.0723.5E+04 0.050 5.6E+04 0.0722.8E+04 0.050 3.7E+04 0.0722.3E+04 0.050 2.7E+04 0.0721.9E+04 0.051 2.2E+04 0.0731.6E+04 0.051 1.8E+04 0.0731.4E+04 0.051 1.5E+04 0.0731.3E+04 0.051 1.3E+04 0.0731.1E+04 0.052 1.2E+04 0.0731.0E+04 0.052 1.0E+04 0.0749.5E+03 0.052 9.5E+03 0.0748.7E+03 0.053 8.6E+03 0.0748.0E+03 0.053 7.9E+03 0.0747.4E+03 0.053 7.3E+03 0.0756.9E+03 0.054 6.8E+03 0.0756.5E+03 0.054 6.4E+03 0.0756.1E+03 0.054 6.0E+03 0.0755.7E+03 0.055 5.6E+03 0.0755.4E+03 0.055 5.3E+03 0.0765.1E+03 0.055 5.0E+03 0.0764.8E+03 0.056 4.8E+03 0.0764.6E+03 0.056 4.5E+03 0.0764.4E+03 0.056 4.3E+03 0.0774.1E+03 0.057 4.1E+03 0.0774.0E+03 0.057 3.9E+03 0.077

4.9E+04 0.049377 1.2E+05 0.0716597.6E+04 0.048587 1.8E+05 0.071461

1.00E+08 0.048587 1.00E+08 0.071461

1.0E+02 1.0E+03 1.0E+04 1.0E+05 1.0E+06 1.0E+07 1.0E+080.001

0.010

0.100

e/D = 00.050.020.010.0030.0010.00010.00001

Re

l

Page 4: 948 Colebrook White

DATI PARAMETRI DI CALCOLO valori per il grafico

fluido r = 1000 punti

m = 0.001 5.9E+05

A = 0.01766condotta D = 0.15 m 0.00067 - 1.0E+00

e = 0.0001 m ok

L = 300 m V = 3.963 m/s

0.801 m

portata Q = 0.070 Re = 5.9E+05 -

RISULTATI

0.0178differenza = 3.7%

l = 0.0185

OKerr = 4.9E-05

J = 9.9% -J L = 29.618 m

valore della scabrezza relativa per la condotta di calcolo

di Reynolds di calcolose l'equazione non è risolta correttamente il punto diventa bianco, e non giace sulla curva

kg/m3

Ns/m2

m2

e/D =

V2/2g =

m3/s

l infinito =

la curva rossa sull'abaco corrisponde al

il punto rosso corrisponde al valore del numero

risolvi

1.0E+02 1.0E+03 1.0E+04 1.0E+05 1.0E+06 1.0E+07 1.0E+08

0.001

0.010

0.100

e/D = 0

0.05

0.02

0.01

0.003

0.001

0.0001

0.00001

0.00067

Re

l

Page 5: 948 Colebrook White

valori per il grafico

punti righe orizzontali curva

0.018498 100 0.018498 Re -1.8E+05 -1.8E+05 -1.7E+05

5.9E+05 0.018498 Re plot #N/A #N/A #N/A1.0E+00 lambda 0.006 0.0063 0.006615

5.9E+05 0.018498 lam. plot 99 99 99

5.9E+05 0.00001

Re plot 6.7E+05 3.3E+06 1.00E+08

lambda 0.018429 0.017821 0.0178209

1.0E+02 1.0E+03 1.0E+04 1.0E+05 1.0E+06 1.0E+07 1.0E+08

0.001

0.010

0.100

e/D = 0

0.05

0.02

0.01

0.003

0.001

0.0001

0.00001

0.00067

Re

l

Page 6: 948 Colebrook White

-1.7E+05 -1.6E+05 -1.6E+05 -1.6E+05 -1.6E+05 -1.5E+05 -1.5E+05 -1.5E+05 -1.5E+05

#N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A0.006946 0.007293 0.007658 0.008041 0.008443 0.008865 0.009308 0.009773 0.010262

99 99 99 99 99 99 99 99 99

Page 7: 948 Colebrook White

-1.5E+05 -1.5E+05 -1.5E+05 -1.5E+05 -1.6E+05 -1.7E+05 -1.9E+05 -2.2E+05 -2.8E+05

#N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A0.010775 0.011314 0.01188 0.012474 0.013097 0.013752 0.01444 0.015162 0.01592

99 99 99 99 99 99 99 99 99

Page 8: 948 Colebrook White

-4.4E+05 -1.7E+06 6.7E+05 2.4E+05 1.3E+05 8.7E+04 6.1E+04 4.4E+04 3.3E+04

#N/A #N/A 6.7E+05 2.4E+05 1.3E+05 8.7E+04 6.1E+04 4.4E+04 3.3E+040.016716 0.017552 0.018429 0.019351 0.020318 0.021334 0.022401 0.023521 0.024697

99 99 0.018429 0.019351 0.020318 0.021334 0.022401 0.023521 0.024697

Page 9: 948 Colebrook White

2.6E+04 2.0E+04 1.6E+04 1.3E+04 1.0E+04 8.6E+03 7.1E+03 5.9E+03 4.9E+03

2.6E+04 2.0E+04 1.6E+04 1.3E+04 1.0E+04 8.6E+03 7.1E+03 5.9E+03 4.9E+030.025932 0.027228 0.02859 0.030019 0.03152 0.033096 0.034751 0.036488 0.038313

0.025932 0.027228 0.02859 0.030019 0.03152 0.033096 0.034751 0.036488 0.038313

Page 10: 948 Colebrook White

4.1E+03 3.5E+03 2.9E+03 2.5E+03 2.1E+03 1.8E+03 1.6E+03 1.4E+03 1.2E+03

4.1E+03 #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A0.040229 0.04224 0.044352 0.04657 0.048898 0.051343 0.05391 0.056606 0.059436

0.040229 99 99 99 99 99 99 99 99

Page 11: 948 Colebrook White

1.0E+03 8.9E+02 7.8E+02 6.9E+02 6.0E+02 5.3E+02 4.7E+02 4.2E+02 3.7E+02

#N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A0.062408 0.065528 0.068804 0.072245 0.075857 0.07965 0.083632 0.087814 0.092204

99 99 99 99 99 99 99 99 99

Page 12: 948 Colebrook White

3.3E+02 2.9E+02

#N/A #N/A0.096815 0.101655

99 99

Page 13: 948 Colebrook White

DATI valori per il grafico

fluido r = 1000 punti

m = 0.001 3.2E+05

condotta D = 0.02 m 3.2E+05

e = 2.0E-04 m

L = 50 m

portata Q = 0.005

PARAMETRI DI CALCOLO

A = 0.00031

0.01000 -

ok

V = 15.924 m/s

12.930 m

Re = 3.2E+05 -

RISULTATI

0.0379differenza = -114.3%

l = 0.0177

<-- premi !!!err = 1.4E+02

J = 1141.9% -J L = 570.941 m

valore della scabrezza relativa per la condotta di calcolo

di Reynolds di calcolose l'equazione non è risolta correttamente il punto diventa bianco, e non giace sulla curva

kg/m3

Ns/m2

m3/s

m2

e/D =

V2/2g =

l infinito =

la curva rossa sull'abaco corrisponde al

il punto rosso corrisponde al valore del numero

risolvi

1.0E+02 1.0E+03 1.0E+04 1.0E+05 1.0E+06 1.0E+07 1.0E+08

0.001

0.010

0.100

e/D = 0

0.05

0.02

0.01

0.003

0.001

0.0001

0.00001

0.01000

Re

l

Page 14: 948 Colebrook White

valori per il grafico

punti righe orizzontali curva

0.017671 100 0.017671 Re -1.2E+04 -1.2E+04 -1.1E+043.2E+05 0.017671 Re plot #N/A #N/A #N/A

1.8E-02 lambda 0.006 0.0063 0.006615

3.2E+05 0.017671 lam. plot 99 99 99

3.2E+05 0.00001

Re plot 1.4E+05 6.8E+05 1.00E+08

lambda 0.038313 0.037869 0.0378691

1.0E+02 1.0E+03 1.0E+04 1.0E+05 1.0E+06 1.0E+07 1.0E+08

0.001

0.010

0.100

e/D = 0

0.05

0.02

0.01

0.003

0.001

0.0001

0.00001

0.01000

Re

l

Page 15: 948 Colebrook White

-1.1E+04 -1.1E+04 -1.1E+04 -1.0E+04 -1.0E+04 -9.9E+03 -9.7E+03 -9.5E+03 -9.2E+03#N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A

0.006946 0.007293 0.007658 0.008041 0.008443 0.008865 0.009308 0.009773 0.010262

99 99 99 99 99 99 99 99 99

Page 16: 948 Colebrook White

-9.0E+03 -8.8E+03 -8.6E+03 -8.4E+03 -8.3E+03 -8.1E+03 -8.0E+03 -7.8E+03 -7.7E+03#N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A

0.010775 0.011314 0.01188 0.012474 0.013097 0.013752 0.01444 0.015162 0.01592

99 99 99 99 99 99 99 99 99

Page 17: 948 Colebrook White

-7.6E+03 -7.5E+03 -7.4E+03 -7.4E+03 -7.4E+03 -7.4E+03 -7.5E+03 -7.6E+03 -7.8E+03#N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A

0.016716 0.017552 0.018429 0.019351 0.020318 0.021334 0.022401 0.023521 0.024697

99 99 99 99 99 99 99 99 99

Page 18: 948 Colebrook White

-8.2E+03 -8.6E+03 -9.3E+03 -1.0E+04 -1.2E+04 -1.5E+04 -2.2E+04 -4.6E+04 1.4E+05#N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A 1.4E+05

0.025932 0.027228 0.02859 0.030019 0.03152 0.033096 0.034751 0.036488 0.038313

99 99 99 99 99 99 99 99 0.038313

Page 19: 948 Colebrook White

2.4E+04 1.2E+04 7.8E+03 5.5E+03 4.1E+03 3.1E+03 2.5E+03 2.0E+03 1.7E+032.4E+04 1.2E+04 7.8E+03 5.5E+03 4.1E+03 #N/A #N/A #N/A #N/A0.040229 0.04224 0.044352 0.04657 0.048898 0.051343 0.05391 0.056606 0.059436

0.040229 0.04224 0.044352 0.04657 0.048898 99 99 99 99

Page 20: 948 Colebrook White

1.4E+03 1.2E+03 9.8E+02 8.4E+02 7.2E+02 6.3E+02 5.4E+02 4.7E+02 4.2E+02#N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A

0.062408 0.065528 0.068804 0.072245 0.075857 0.07965 0.083632 0.087814 0.092204

99 99 99 99 99 99 99 99 99

Page 21: 948 Colebrook White

3.7E+02 3.2E+02#N/A #N/A

0.096815 0.101655

99 99

Page 22: 948 Colebrook White

caso 1

Page 22

0.150.0001

300

0.07

Page 23: 948 Colebrook White

caso 2

Page 23

0.050.001

300

0.02

Page 24: 948 Colebrook White

tubo1

Page 24

0.150.0001

300

Page 25: 948 Colebrook White

tubo2

Page 25

0.30

500