coef. de friccion

7/23/2019 Coef. de Friccion

1/72

Re 469911.50

k (m) 0.003

D (m) 0.3

g 9.81

N f1 F(f1)

1 0.03 0.645

2 0.03670 0.09

3 0.03797 0.00

4 0.03800 0.00

5 0.03800 0.00

6 0.03800 0.00

7 0.03800 0.00

8 0.03800 0.00

HF (perd carga)

f(3ra ieraci!") 0.03800 6.06763696

f (4a ieraci!") 0.03800 6.0676310173

f(5a ieraci!") 0.03800 6.0676310281

f(6a ieraci!") 0.03800 6.0676310281


2/72


3/72

#$%& $

' m3 0.125

*i. +i"e. (m2) 0.00000113

,!"g. (m) 300

-e,. (m) 1.77

F(f1) f2 err!r

/96.218 0.03670 18.255587662

/71.110 0.03797 3.3396027196

/67.578 0.03800 0.0822733111

/67.494 0.03800 9.794055061/005

/67.494 0.03800 1.770821450/007

/67.494 0.03800 3.200196456/010

/67.494 0.03800 0

/67.494 0.03800 0


4/72


5/72


6/72


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8/72


9/72

1ra p!ici!" f

f 46.6

Re 95618.6174

k (m) 0.00025

,!"g. (m) 400

D (m) 0.2

N f1 F(f1)

1 0.02 0.507

2 0.02287 0.029

3 0.02307 /0.0014 0.02306 0.000

5 0.02306 0.000

6 0.02306 0.000

7 0.02306 0.000

8 0.02306 0.000

9 0.02306 0.000

f(3ra ieraci!") 0.02306

f (4a ieraci!") 0.02306

f(5a ieraci!") 0.02306f(6a ieraci!") 0.02306

3ra p!ici!" f

f 46.6

Re 88771.4682

k (m) 0.00025

,!"g. (m) 400

D (m) 0.2

N f1 F(f1)

1 0.02320 0.001

2 0.02321 0.000

3 0.02321 0.000


10/72

4 0.02321 0.000

5 0.02321 0.000

6 0.02321 0.000

7 0.02321 0.000

8 0.02321 0.000

9 0.02321 0.000

f(3ra ieraci!") 0.02321

f (4a ieraci!") 0.02321

f(5a ieraci!") 0.02321

f(6a ieraci!") 0.02321

5a p!ici!" f

f 46.6

Re 88758.4981

k (m) 0.00025

,!"g. (m) 400

D (m) 0.2

N f1 F(f1)

1 0.02321 0.000

2 0.02321 /0.0223 0.02305 0.001

4 0.02306 0.000

5 0.02306 0.000

6 0.02306 0.000

7 0.02306 0.000

8 0.02306 0.000

9 0.02306 0.000

f(3ra ieraci!") 0.02306

f (4a ieraci!") 0.02306f(5a ieraci!") 0.02306

f(6a ieraci!") 0.02306


11/72


12/72

#$%& $$

0.02

*i. +i"e. (m2) 0.00001

-e,. (m) 4.7809

F(f1) f2 err!r

/176.760 0.02287 12.5494475194

/144.548 0.02307 0.8550860957

/142.697 0.02306 0.033031582/142.768 0.02306 0.0014898148

/142.765 0.02306 6.682560623/005

/142.765 0.02306 2.998207996/006

/142.765 0.02306 1.345165756/007

/142.765 0.02306 0.000000006

/142.765 0.02306 2.707850847/010

' m3 0.1501212294

#$%& $$

0.02320

*i. +i"e. (m2) 0.00001

-e,. (m) 4.4385734

F(f1) f2 err!r

/141.436 0.02321 0.0292757565

/141.373 0.02321 0.0013740605

/141.376 0.02321 6.479358200/005


13/72

/141.376 0.02321 3.054662031/006

/141.376 0.02321 0.000000144

/141.376 0.02321 6.789456645/009

/141.376 0.02321 3.200873250/010

/141.376 0.02321 1.508210101/011

/141.376 0.02321 0

' m3 0.1393712051

#$%& $$

0.02321

*i. +i"e. (m2) 0.00001

-e,. (m) 4.4379249

F(f1) f2 err!r

/141.374 0.02321 5.902810773/005

/141.373 0.02305 0.6880299091/142.835 0.02306 0.034226407

/142.762 0.02306 0.0015271733

/142.765 0.02306 6.853440710/005

/142.765 0.02306 3.074808693/006

/142.765 0.02306 0.000000138

/142.765 0.02306 6.189390559/009

/142.765 0.02306 2.777209622/010

' m3 0.139350842


14/72


15/72


16/72

4 0.02321 0.000

5 0.02321 0.000

6 0.02321 0.000

7 0.02321 0.000

8 0.02321 0.000

9 0.02321 0.000

f(3ra ieraci! 0.02321

f (4a ieraci! 0.02321

f(5a ieraci! 0.02321



17/72


18/72

0.02306

*i. +i"e. (m2) 0.00001

,!"g. (m) 400

-e,. (m) 4.4524

F(f1) f2 err!r

/142.765 0.02321 0.647703633

/141.380 0.02320 0.0274313769

/141.438 0.02320 0.0012959829

/141.435 0.02320 6.09614520388428/005/141.436 0.02320 2.86814510750604/006

/141.436 0.02320 1.34940626035429/007

/141.436 0.02320 6.34872405197635/009

/141.436 0.02320 2.98691188671853/010

/141.436 0.02320 1.40396969596451/011

' m3 0.139806457

#$%& $$

0.02321

*i. +i"e. (m2) 0.00001

-e,. (m) 4.437953

F(f1) f2 err!r

/141.376 0.02321 0.0013147598

/141.373 0.02321 6.19776579349625/005

/141.374 0.02321 2.92223251134681/006


19/72

/141.374 0.02321 1.37781259674902/007

/141.374 0.02321 6.49628306944959/009

/141.374 0.02321 3.06286869553161/010

/141.374 0.02321 1.44242266906817/011

/141.374 0.02321 0

/141.374 0.02321 0

' m3 0.1393517


20/72


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33/72

1ra p!ici!" f

f (m) 10

Re 57126.3213

k (m) 0.00025

,!"g. (m) 900

D (m) 0.0668983397

N f1 F(f1)

1 0.02 1.311

2 0.02742 0.249

3 0.02968 0.0074 0.02975 0.000

5 0.02975 0.000

6 0.02975 0.000

7 0.02975 0.000

8 0.02975 0.000

9 0.02975 0.000

f(3ra ieraci!") 0.02975

f (4a ieraci!") 0.02975


3ra p!ici!" f

f (m) 10

Re 52765.4257

k (m) 0.00025

,!"g. (m) 900

D (m) 0.072427276

N f1 F(f1)

1 0.02975 /0.039

2 0.02934 0.002

3 0.02936 0.000

4 0.02936 0.000

5 0.02936 0.0006 0.02936 0.000

7 0.02936 0.000


34/72

8 0.02936 0.000

9 0.02936 0.000

f(3ra ieraci!") 0.02936

f (4a ieraci!") 0.02936

f(5a ieraci!") 0.02936

f(6a ieraci!") 0.02936

5a p!ici!" f

f (m) 10

Re 52899.2031k (m) 0.00025

,!"g. (m) 900

D (m) 0.0722441139

N f1 F(f1)

1 0.02937 0.000

2 0.02937 0.000

3 0.02937 0.000

4 0.02937 0.000

5 0.02937 0.0006 0.02937 0.000

7 0.02937 0.000

8 0.02937 0.000

9 0.02937 0.000

f(3ra ieraci!") 0.02937

f (4a ieraci!") 0.02937

f(5a ieraci!") 0.02937

f(6a ieraci!") 0.02937


35/72

#$%& $$

0.02

'(m3) 0.003

*i. +i"e. (m2) 0.000001

-e,. (m) 0.8539

F(f1) f2 err!r

/176.760 0.02742 27.0502357321

/110.122 0.02968 7.6149477933

/97.782 0.02975 0.2506500133/97.415 0.02975 0.0071814599

/97.425 0.02975 0.0002192994

/97.425 0.02975 6.6849038973/006

/97.425 0.02975 2.0378691647/007

/97.425 0.02975 6.2123754402/009

/97.425 0.02975 1.8935432863/010

' m3 0.003

#$%& $$

0.02975

'(m3) 0.003

*i. +i"e. (m2) 0.000001

-e,. (m) 0.7285

F(f1) f2 err!r

/97.425 0.02934 1.3749167432

/99.442 0.02936 0.0607418607

/99.351 0.02936 0.0020654889

/99.354 0.02936 7.1177614680/005

/99.354 0.02936 2.4517073567/006/99.354 0.02936 8.4450118600/008

/99.354 0.02936 2.9089051375/009


36/72

/99.354 0.02936 1.0022354661/010

/99.354 0.02936 3.4384640491/012

' m3 0.003

#$%& $$

0.02937

'(m3) 0.003*i. +i"e. (m2) 0.000001

-e,. (m) 0.7322

F(f1) f2 err!r

/99.293 0.02937 0.0013155208

/99.295 0.02937 4.5153116503/005

/99.295 0.02937 1.5493617381/006

/99.295 0.02937 5.3164553808/008

/99.295 0.02937 1.8243009440/009/99.295 0.02937 6.2612052236/011

/99.295 0.02937 2.1969141135/012

/99.295 0.02937 0

/99.295 0.02937 0

' m3 0.003


37/72

2da p!ici!" f

f (m) 10

Re 285403.1066

k (m) 0.00025

,!"g. (m) 900

D (m) 0.223173

N f1 F(f1)

1 0.02975 /1.107

2 0.01839 0.503

3 0.02090 0.0374 0.02112 0.000

5 0.02112 0.000

6 0.02112 0.000

7 0.02112 0.000

8 0.02112 0.000

9 0.02112 0.000

f(3ra ieraci!") 0.02112

f (4a ieraci!") 0.02112


4a p!ici!" f

f (m) 10

Re 52903.5124

k (m) 0.00025

,!"g. (m) 900

D (m) 0.0722382291

N f1 F(f1)

1 0.02936 0.001

2 0.02937 0.000

3 0.02937 0.000

4 0.02937 0.000

5 0.02937 0.0006 0.02937 0.000

7 0.02937 0.000


38/72

8 0.02937 0.000

9 0.02937 0.000

f(3ra ieraci!") 0.02937

f (4a ieraci!") 0.02937

f(5a ieraci!") 0.02937

f(6a ieraci!") 0.02937

6a p!ici!" f

f (m) 10

Re 52899.3376k (m) 0.00025

,!"g. (m) 900

D (m) 0.0722439301

N f1 F(f1)

1 0.02937 0.000

2 0.02937 0.000

3 0.02937 0.000

4 0.02937 0.000

5 0.02937 0.0006 0.02937 0.000

7 0.02937 0.000

8 0.02937 0.000

9 0.02937 0.000

f(3ra ieraci!") 0.02937

f (4a ieraci!") 0.02937

f(5a ieraci!") 0.02937

f(6a ieraci!") 0.02937


39/72

#$%& $$

0.02975

'(m3) 0.05

*i. +i"e. (m2) 0.000001

-e,. (m) 1.2788

F(f1) f2 err!r

/97.426 0.01839 61.7771978765

/200.502 0.02090 12.0102550081

/165.484 0.02112 1.0494521494/162.885 0.02112 0.0139859

/162.919 0.02112 0.0002976435

/162.918 0.02112 6.3031249654/006

/162.918 0.02112 1.3349383149/007

/162.918 0.02112 2.8272632801/009

/162.918 0.02112 5.9901803871/011

' m3 0.05

#$%& $$

0.02936

'(m3) 0.003

*i. +i"e. (m2) 0.000001

-e,. (m) 0.7323

F(f1) f2 err!r

/99.354 0.02937 0.0421052993

/99.291 0.02937 0.0014317456

/99.293 0.02937 4.9137497880/005

/99.293 0.02937 1.6858707247/006

/99.293 0.02937 5.7841579800/008/99.293 0.02937 0.000000002

/99.293 0.02937 6.8115282552/011


40/72

/99.293 0.02937 2.3149983319/012

/99.293 0.02937 0

' m3 0.003

#$%& $$

0.02937

'(m3) 0.003*i. +i"e. (m2) 0.000001

-e,. (m) 0.7322

F(f1) f2 err!r

/99.295 0.02937 4.1076124593/005

/99.295 0.02937 1.4094616756/006

/99.295 0.02937 4.8363852054/008

/99.295 0.02937 1.6595317264/009

/99.295 0.02937 5.6918951122/011/99.295 0.02937 1.9488746493/012

/99.295 0.02937 0

/99.295 0.02937 0

/99.295 0.02937 0

' m3 0.003


41/72

1ra p!ici!" f

f 14

Re 1179223.2613

k (m) 0.0000015

,!"g. (m) 900

D (m) 0.45

N f1 F(f1)

1 0.02 /2.523

2 0.00572 4.143

3 0.00931 1.0844 0.01126 0.066

5 0.01142 /0.005

6 0.01141 0.000

7 0.01141 0.000

8 0.01141 0.000

9 0.01141 0.000

f(3ra ieraci!") 0.01126

f (4a ieraci!") 0.01142


3ra p!ici!" f

f 14

Re 1596969.8091

k (m) 0.0000015

,!"g. (m) 900

D (m) 0.45

N f1 F(f1)

1 0.01091 /0.018

2 0.01086 0.002

3 0.01087 0.000


42/72

4 0.01087 0.000

5 0.01087 0.000

6 0.01087 0.000

7 0.01087 0.000

8 0.01087 0.000

9 0.01087 0.000

f(3ra ieraci!") 0.01087

f (4a ieraci!") 0.01087

f(5a ieraci!") 0.01087

f(6a ieraci!") 0.01087

5a p!ici!" f

f 14

Re 1600032.3225

k (m) 0.0000015

,!"g. (m) 900

D (m) 0.45

N f1 F(f1)

1 0.01086 0.000

2 0.01086 0.2523 0.01143 /0.012

4 0.01141 0.001

5 0.01141 0.000

6 0.01141 0.000

7 0.01141 0.000

8 0.01141 0.000

9 0.01141 0.000

f(3ra ieraci!") 0.01141

f (4a ieraci!") 0.01141f(5a ieraci!") 0.01141

f(6a ieraci!") 0.01141


43/72


44/72

#$%& $$

0.02

*i. +i"e. (m2) 0.000001

-e,. (m) 2.6205

F(f1) f2 err!r

/176.759 0.00572 249.4157399481

/1154.614 0.00931 38.5357493341

/556.373 0.01126 17.3063989535/418.379 0.01142 1.3801020502

/409.748 0.01141 0.108975125

/410.418 0.01141 0.0097586136

/410.358 0.01141 0.0008658562

/410.363 0.01141 7.688894127/005

/410.363 0.01141 6.827316409/006

' m3 0.4165606171

#$%& $$

0.01091

*i. +i"e. (m2) 0.000001

-e,. (m) 3.5488218

F(f1) f2 err!r

/439.054 0.01086 0.3874374987

/441.608 0.01087 0.0341523761

/441.382 0.01087 0.0029110442


45/72

/441.401 0.01087 0.0002488795

/441.399 0.01087 2.127246459/005

/441.399 0.01087 1.818260208/006

/441.399 0.01087 1.554151604/007

/441.399 0.01087 1.328405751/008

/441.399 0.01087 1.135462120/009

' m3 0.5641295851

#$%& $$

0.01086

*i. +i"e. (m2) 0.000001

-e,. (m) 3.5556274

F(f1) f2 err!r

/441.585 0.01086 0.0023888659

/441.600 0.01143 4.9930143652/408.942 0.01141 0.2525616187

/410.492 0.01141 0.022866289

/410.351 0.01141 0.0020267864

/410.364 0.01141 0.0001799971

/410.363 0.01141 1.598262507/005

/410.363 0.01141 1.419179744/006

/410.363 0.01141 0.000000126

' m3 0.5652114179


46/72


47/72

2da p!ici!" f

HF 14Re 1561392.56884974

k (m) 0.0000015

D (m) 0.45

g 9.81

N f1 F(f1)

1 0.01141 /0.232

2 0.01084 0.030

3 0.01091 /0.002

4 0.01090 0.0005 0.01091 0.000

6 0.01091 0.000

7 0.01091 0.000

8 0.01091 0.000

9 0.01091 0.000


f (4a ieraci! 0.01091



4a p!ici!" f

f 14

Re 1599808.6456

k (m) 0.0000015

,!"g. (m) 900

D (m) 0.45

N f1 F(f1)

1 0.01087 /0.001

2 0.01086 0.000

3 0.01086 0.000


48/72

4 0.01086 0.000

5 0.01086 0.000

6 0.01086 0.000

7 0.01086 0.000

8 0.01086 0.000

9 0.01086 0.000


f (4a ieraci! 0.01086




49/72


50/72

0.01141

*i. +i"e. (m2) 0.000001

,!"g. (m) 900

-e,. (m) 3.4698

F(f1) f2 err!r

/410.358 0.01084 5.2099590273

/442.842 0.01091 0.6171171122

/438.749 0.01090 0.0502220472

/439.080 0.01091 0.0043228484/439.051 0.01091 0.0003704496

/439.054 0.01091 0.000031758

/439.054 0.01091 2.72247587841492/006

/439.054 0.01091 2.33386409772695/007

/439.054 0.01091 0.00000002

' m3 0.5515619249

#$%& $$

0.01087

*i. +i"e. (m2) 0.000001

-e,. (m) 3.555130

F(f1) f2 err!r

/441.399 0.01086 0.0303619168

/441.600 0.01086 0.0026009818

/441.583 0.01086 0.0002222194


51/72

/441.585 0.01086 1.89900715467448/005

/441.585 0.01086 1.62279114113153/006

/441.585 0.01086 1.38675364091337/007

/441.585 0.01086 1.18504744073207/008

/441.585 0.01086 0.000000001

/441.585 0.01086 8.65336152481851/011

' m3 0.5651324


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1ra p!ici!" f

f (m) 60

Re 45857.6724

k (m) 0.25

,!"g. (m) 600

D (m) 0.0277791105

N f1 F(f1)

1 0.02 7.841

2 0.06435 4.712

3 0.21820 2.9114 0.81151 1.880

5 3.56002 1.300

6 21.02281 0.988

7 211.60970 0.838

8 5416.63549 0.783

9 798269.42934 0.771

f(3ra ieraci!") 0.81151

f (4a ieraci!") 3.56002


3ra p!ici!" f

f (m) 60

Re -

k (m) 0.25

,!"g. (m) 600

D (m) -

N f1 F(f1)

1 -

2 - -

3 -

4 - -

5 - -6 - -

7 - -


66/72

8 - -

9 - -

f(3ra ieraci!") -

f (4a ieraci!")

f(5a ieraci!")

f(6a ieraci!")

5a p!ici!" f

f (m) 60

Re -k (m) 0.25

,!"g. (m) 600

D (m) -

N f1 F(f1)

1 -

2 - -

3 -

4 - -

5 - -6 - -

7 - -

8 - -

9 - -

f(3ra ieraci!") -

f (4a ieraci!")

f(5a ieraci!")

f(6a ieraci!")


67/72

#$%& $$

0.02

'(m3) 0.001

*i. +i"e. (m2) 0.000001

-e,. (m) 1.6508

F(f1) f2 err!r

/176.777 0.06435 68.9223227069

/30.626 0.21820 70.5063642544

/4.906 0.81151 73.1120610522/0.684 3.56002 77.2048206041

/0.074 21.02281 83.0659148699

/0.005 211.60970 90.0652876604

0.000 5416.63549 96.0933369312

0.000 798269.42934 99.3214527217

0.000 /35501406.66530 102.2485571822

' m3 0.001

#$%& $$

'(m3) 0.001

*i. +i"e. (m2) 0.000001

-e,. (m) -

F(f1) f2 err!r

- - -

- - -

- - -

- - -

- - -- - -

- - -


68/72

- - -

- - -

' m3 -

#$%& $$

'(m3) 0.001*i. +i"e. (m2) 0.000001

-e,. (m) -

F(f1) f2 err!r

- - -

- - -

- - -

- - -

- - -- - -

- - -

- - -

- - -

' m3 -


69/72

2da p!ici!" f

f (m) 60

Re 75143.7554

k (m) 0.25

,!"g. (m) 600

D (m) 0.8476322108

N f1 F(f1)

1 211.60970 /2.131

2 /15300.86272 rr502

3 -4 - -

5 - -

6 - -

7 - -

8 - -

9 - -

f(3ra ieraci!") -

f (4a ieraci!")

f(5a ieraci!")f(6a ieraci!")

4a p!ici!" f

f (m) 60

Re -

k (m) 0.25

,!"g. (m) 600

D (m) -

N f1 F(f1)

1 -

2 - -

3 -

4 - -

5 - -6 - -

7 - -


70/72

8 - -

9 - -

f(3ra ieraci!") -

f (4a ieraci!")

f(5a ieraci!")

f(6a ieraci!")

6a p!ici!" f

f (m) 60

Re -k (m) 0.25

,!"g. (m) 600

D (m) -

N f1 F(f1)

1 -

2 - -

3 -

4 - -

5 - -6 - -

7 - -

8 - -

9 - -

f(3ra ieraci!") -

f (4a ieraci!")

f(5a ieraci!")

f(6a ieraci!")


71/72

#$%& $$

211.60970

'(m3) 0.05

*i. +i"e. (m2) 0.000001

-e,. (m) 0.0887

F(f1) f2 err!r

0.000 /15300.86272 101.3829919392

rr502 rr502 rr502

- - -- - -

- - -

- - -

- - -

- - -

- - -

' m3 0.05

#$%& $$

'(m3) 0.001

*i. +i"e. (m2) 0.000001

-e,. (m) -

F(f1) f2 err!r

- - -

- - -

- - -

- - -

- - -- - -

- - -


72/72

- - -

- - -

' m3 -

#$%& $$

'(m3) 0.001*i. +i"e. (m2) 0.000001

-e,. (m) -

F(f1) f2 err!r

- - -

- - -

- - -

- - -

- - -- - -

- - -

- - -

- - -

' m3 -

coef. de friccion

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