Friction loss calculation

7/30/2019 Friction loss calculation

1/50

Hydraulic Radius of Partially Filled Circular Conduits (Pipes)

Method-1 Method-2

Inputs

Percent filling of pipe = 37.87802 % 37.87802 %

Pipe Inside Diameter, d = 558.8 mm 558.8 mm

Calculations

Pipe Radius, r = 0.2794 m 0.2794 m

Flow Depth, H = 0.211662 m 0.211662 m

h = 0.211662 m

Central Angle, = 2.652 rad 2.652 rad

Circular Segment Area, k = 0.0851 m2

Arc Length, s = 0.7409 m

Flow Area, A = 0.0851 m2

0.0851

Wetted Perimeter, PW = 0.7409 m 0.7409

Hydraulic Radius, RH = 0.114918 m 0.114918

4.524345 in

18.09738

h = 0.15 m = H

h = 0.05 m

Flow depth"H"

h = H if H < r

h = 2r-H if H > r

h = H

H is flow depth


2/50


3/50

Page 5, Brannan Rules of thumb Chem Engrs

Partially full horizantal pipe

Q (m3/Hr) 400 0.111111

BPD 60384

lt/min 6667 6

Q (GPM) 1754.386 0.1524D (in) 22 0.018241

0.772802 20.10072

-0.25773

H/D 37.878%

H= 8.333164 0.211662

De/D 0.812574

De= 17.87663


4/50

Total DP : 149 Psi (Tight)91+4+29=124 Psig Pipe line

20 Psi (inside GC-10)

OPTION-1 5 Psi (inside NTF)

New line 6" 2Km Sh-40

Note:

For actual flow, pump performance curves will be required.

Actual flow from NTF will be less & from STF will be more.

It may be 3000 BPD from NTF, 5000 BPD from STF.

Valve may have to be throttled at STF.

Note:

1 6" jump ov

2 RTRP line

3 20 Psia pre

4 5 Psia pres

Total DP : 152 Psi (2 Pumps)

119 Psi


STF4000 BPD

6" Sh-402 Km4000 BPD

NTF4000 BPD

4" Sh-402.7 Km

4000 BPD

6" Sh-402 Km

4000 BPD

GC-10

6" Sh-808 .7Km

8000 BPDDP 91 Psi

DP 29 Psi

DP 3.5 Psi

DP 3.2 PsiD

D

NEW LINE

NTF6000 BPD

GC-10

6" Sh-808.7 Km

4" Sh-402 .7 Km

RTRP

DP 59 Psi

DP 52 Psi

6" Sh-402 KmDP 8 Psi


5/50


New line 6" 2 Km Sh-40

Option:

Continue STF effluent water towards EWD-1.

Divert only NTF water to GC-10.


6/50

Total DP : 125 Psi100 Psi



New line 6" 9Km Sh-40

Cost implications

er near GC-22 from 6" STF line to 6" flow line is not indicated here.

oughness factor (surface finishing) considered as new clean carbon steel pipe..

ssure drop is considered inside GC-10 including tank elevation and other frictional losses.

sure drop is considered inside tank form areas.

STF8000 BPD

GC-10

NTF6000 BPD

GC-10

6" Sh-409 KmNEW LINE

4" Sh-402.7 KmRTRP

DP 59 Psi

DP 41 Psi

6" Sh-808.7 Km

6" Sh-402 KmRTRP

12 Psi

91 Psi


7/50

Six Thousand Five Hundred Sixty Five

6,565 Nominal Dia 2 3.5

Schedule 40

D (in.) 2.067D (m.) 0.0525018

Vol flow (m3/Hr) 8.64

V (m/sec) 1.11 3.637123

W (Kg/Hr) 8640

0.000235 W (lb/Hr) 19115.0442

0.00074 r 1000 Kg/m3

0.001523 r (lb/ft3) 62.65 juj

0.001758 m 6.157 2

568.8618 e 0.00004572 meter

6.343637 Re 9453.18187 78

44.15172 e/d 0.000871

0.000513 L 10.30000 0.000457L/D 196.18375

123.201 Friction factor 0.03263 0.007707

5.975898 0.007621 3

0.032867 Diff Pr.head F (N/m2) 0.40 f (L/D) u /2gc

Fr/10197.2 * 14.5 0.0393 Bar

0.57024523 Psia

10197.16 1.8709 0.999467

0.39316954 meter

dP psi /per 100 ft 1.78969345 214%

1.21747854

-6.37397391

2.30258509

5.5363634

5.5363634


8/50

Goudar & Sonnad Haaland Equn.

2.067 inch

1304.294 BPD

1

Two 6.157 cp

Seventy 9515.98

0.000871

9.408929 S -1.8 log { (e/3.7d)1.11+ 6.9/Re ) }5.520013 Error 5.556102 Error

0.032819 -0.6% 0.032394 0.71%

Three

0.4033 0.3981

0.0396 0.0000 0.0390

0.573628 0 0.566201

58.08


9/50

Enter the valus in shaded area

Input:

PARAMETER UNIT VALUENominal Dia inch 2

Schedule 40

Upstream pressure barg 22

Volumetric flow m3/Hr 3.6

Density Kg/m3 1050

Orifice dia mm 10

Orifice coeffecient (Default : 0.62) 0.62

Output:

inch 2.067

meter 0.053

mm. 52.5Pipe velocity, V m/sec 0.46

Orifice/ pipe area, A0/A1 0.036

Diff head N/m2 210.59

Diff pressure bar 21.68

Pressure at vena contracta barg 0.32

Pressure recovery bar 0.79

Final pressure barg 1.10

http://www.physicsforums.com/showthread.php?t=287777

Pipe inside dia


10/50

.

10


11/50

Pipe Inside Diameter Table in InchesPipe

Nominal

Dia.,

inches

10 20 30 40 60 80 100 120 140 160 STD XS XXS

0.125 NA NA NA 0.269 NA 0.215 NA NA NA NA 0.269 0.215 NA



0.5 0.674 NA NA 0.622 NA 0.546 NA NA NA 0.464 0.622 0.546 0.252

0.75 0.884 NA NA 0.824 NA 0.742 NA NA NA 0.612 0.824 0.742 0.434

1 1.097 NA NA 1.049 NA 0.957 NA NA NA 0.815 1.049 0.957 0.599

1.25 NA NA NA 1.38 NA 1.278 NA NA NA 1.16 1.38 1.278 0.896

1.5 1.682 NA NA 1.61 NA 1.5 NA NA NA 1.338 1.61 1.5 1.1

2 2.157 NA NA 2.067 NA 1.939 NA NA NA 1.689 2.067 1.939 1.503

2.5 2.635 NA NA 2.469 NA 2.323 NA NA NA 2.125 2.469 2.323 1.771

3 3.26 NA NA 3.068 NA 2.9 NA NA NA 2.624 3.068 2.9 2.3

3.5 3.76 NA NA 3.548 NA 3.364 NA NA NA NA 3.548 3.364 2.728

4 4.26 NA NA 4.026 NA 3.826 NA 3.624 NA 3.438 4.026 3.826 3.152

5 NA NA NA 5.047 NA 4.813 NA 4.563 NA 4.313 5.047 4.813 4.063

6 6.357 NA NA 6.065 NA 5.761 NA 5.486 NA 5.187 6.065 5.761 4.897

8 8.329 8.125 8.071 7.981 7.813 7.625 7.437 7.187 7.001 6.813 7.981 7.625 6.875

10 10.42 10.25 10.136 10.02 9.75 9.564 9.312 9.062 8.75 8.5 10.02 9.75 8.75

12 12.39 12.25 12.09 11.938 11.626 11.376 11.062 10.75 10.5 10.126 12 11.75 10.75

14 13.5 13.376 13.25 13.126 12.812 12.5 12.124 11.812 11.5 11.188 13.25 13 NA

16 15.5 15.376 15.25 15 14.688 14.314 13.938 13.562 13.124 12.812 15.25 15 NA

18 17.5 17.376 17.126 16.876 16.5 16.126 15.688 15.25 14.876 14.438 17.25 17 NA

20 19.5 19.25 19 18.814 18.376 17.938 17.438 17 16.5 16.062 19.25 19 NA

22 21.5 21.25 21 NA 20.25 19.75 19.25 18.75 18.25 17.75 21.25 21 NA

24 23.5 23.25 22.876 22.626 22.062 21.564 20.938 20.376 19.876 19.312 23.25 23 NA

26 25.376 25 NA NA NA NA NA NA NA NA 25.25 25 NA

28 27.376 27 26.75 NA NA NA NA NA NA NA 27.25 27 NA

30 29.376 29 28.75 NA NA NA NA NA NA 29 29.25 29 NA

32 31.376 31 30.75 30.624 NA NA NA NA NA NA 31.25 31 NA

34 33.376 33 32.75 32.624 NA NA NA NA NA NA 33.25 33 NA36 35.376 35 34.75 34.5 NA NA NA NA NA NA 35.25 35 NA

38 NA NA NA NA NA NA NA NA NA NA 37.25 37 NA






1 2 3 4 5 6 7 8 9 10 11 12 13 14

Pipe Schedule


12/50

Note:

Tank elevations are not direct measurements.

GC-16 dry tank elevation evaluated from GC-16 FG M/F elevation. GC-28 tank elevation evaluated from HEISCO 22" LCO line profile dwg.

Diff pressure for GC-28 LCO metring package (with filter) and FCV is not taken into account. That will further raise the diff pressure and GC-28 tank level

* Taking into account 0.1 Psig for piping losses inside GC-16 (24" line)

** Taking into account 0.1 Psig for piping losses inside GC-28 (except FCV-4151 & metering package)

GC-16 Dry tank and GC-28 Dry LCO Tank

Ele :~ 188 m

TP- 05

Ele : 176 m

3 Km

1.5 Km

Tank level (with 22" line):

9 ft + 9.4 m -1.3 m = 10.8 m80% of LAHH

Diff Pr:

2.05 Psig *@ 60 MBPD Diff Pr (22")

0.45 Psig **@ 35 MBPDDiff Pr (20")

0.67 Psig **@ 35 MBPD

Extra 0.20 mfor 22" -> 20"

GC-16 Dry tank

GC-28 Dry LCO tank

Tank level:8-9 ft (25-28%)

Ele Diff: ~ 9.4 meter

Capacity: 50,000 Barrels

Tank Ht: 14.63 m

LAHH: 13.60 m

Capacity: 32,000 Barrels

Tank Ht: 10 m

To CMM


13/50

2-K method for excess head loss in pipe fittings

where where

K = excess head loss in pipe fitting, dimensionless Le = equivalent length of fitting,

K1 = constant, dimensionless f = friction factor, dimensionl

K = constant, dimensionless

d = ID of the pipe, inches

NRe = Reynolds no., dimensionless

Friction factor f for laminar flow (NRe < 2000)

Friction factor f for turbulent flow (f = Ft) (NRe > 4000)

Pipe Friction Data for Clean Commercial Steel Pipe with Flow in Zone of Complete Turbulence

Line NB Ft (From A-26, Crane Technical Paper N

inch

1 0.023

1.5 0.021

2 0.019

3 0.018

4 0.017

6 0.015

8 0.014

10 0.014

12 0.013

14 0.013

16 0.013

18 0.012

20 0.012

24 0.012

30 0.011

36 0.011

K1 K NRe

Std (R/D =1), welded 800 0.25 1

(Reference: Hooper W.B, "The The two-K Method Predicts Head Loss in Pipe Fittings," Chem E

Fitting Type

Elbow 90


14/50

2

3

4

5

10

15

2025

50

75

100

125

150

175

200

300

400

500

600700

1100

1500

2099.9

4100

6000

10000

15000

20000

25000

35000

45000

55000

70000

90000

110000

150000

200000

250000

300000

350000

400000

450000

500000

1000000

Long-radius (R/D = 1.5), all types

800 0.2 1

2

3

4

5

10


15/50

15

20

25

50

75

100

125150

175

200

300

400

40000000

Std (R/D =1), all types 500 0.2 1

2

3

4

510

15

20

25

50

75

100

125

150

175

200

300

400

500

Long-radius (R/D =1.5), all types 500 0.15 1

2

3

4

5

10

15

20

25

5075

100

125

150

175

200

300

400

Elbow 45


16/50

500

Std (R/D =1), welded 1000 0.35 1

2

3

45

10

15

20

25

50

75

100

125

150

175

200300

400

500

Long-radius (R/D =1.5), all types 1000 0.3 1

2

3

4

5

10

15

20

25

50

75

100

125

150

175

200

300

400

500

Flow straight thru, welded or flanged 150 0.05 1

2

3

4

5

10

15

20

Elbow 180

Tee-Equal


17/50

25

50

75

100

125

150

175200

300

400

500

Flow thru side outlet, std., flanged/welded 800 0.8 1

2

3

4

5

10

1520

25

50

75

100

125

150

175

200

300

400

500

Gate, Ball, plug (Full bore) ( = 1) 300 0.1 1

2

3

4

5

10

15

20

25

50

75100

125

150

175

200

300

400

500

Valves


18/50

Gate, Ball, plug (Reducedl bore) ( = 0.9) 500 0.15 1

2

3

4

5

1015

20

25

50

75

100

125

150

175

200

300

400500

Gate, Ball, plug (Reducedl bore) ( = 0.8) 1000 0.25 1

2

3

4

5

10

15

20

25

50

75

100

125

150

175

200

300

400

500

Globe, standard 1500 4 1

2

34

5

10

15

20

25

50

75


19/50

100

125

150

175

200

300

400500

Globe, angle or Y-type 1000 2 1

2

3

4

5

10

15

20

25

5075

100

125

150

175

200

300

400

500

Butterfly 800 0.25 1

2

3

4

5

10

15

20

25

50

75

100

125

150

175200

300

400

500

Check, Lift type 2000 10 1

2

3


20/50

4

5

10

15

20

25

5075

100

125

150

175

200

300

400

500

Check, Swing type 1500 1.5 1

23

4

5

10

15

20

25

50

75

100

125

150

175

200

300

400

500

Check, Tilting Disk 1000 0.5 1

2

3

4

5

10

1520

25

50

75

100

125

150

175


21/50

200

300

400

500

Prepared by: Ankur SrivastavaChemical Engineer

e-mail: [email protected]

Disclaimer: The information and methods included within this spreadsheet are presented for c

(Le) of fittings/valves using '2-K method' for excess head loss in pipe fittings. It is intended to b

own discretion. I do not warrant the suitability or accuracy of these methods.


22/50

, m

ss

. 410M)

Nom. Pipe

Size,

inches Schedule

Pipe ID,

inches K f Le, m 2"

Le/D K/Ft

36 40 34.5 800.26 64.00 10.96 12.5058 42124.79

g., August 24, 1981, pp. 96-100)


23/50

400.26 32.00 10.96 12.5116 21072.16

266.92 21.33 10.96 12.5174 14054.61

200.26 16.00 10.97 12.5232 10545.84

160.26 12.80 10.97 12.5290 8440.58

80.26 6.40 10.99 12.5580 4230.05

53.59 4.27 11.01 12.5869 2826.54

40.26 3.20 11.02 12.6159 2124.7932.26 2.56 11.04 12.6449 1703.73

16.26 1.28 11.13 12.7898 861.63

10.92 0.85 11.22 12.9347 580.93

8.26 0.64 11.31 13.0796 440.58

6.66 0.51 11.39 13.2245 356.37

5.59 0.43 11.48 13.3694 300.23

4.83 0.37 11.57 13.5143 260.13

4.26 0.32 11.66 13.6592 230.05

2.92 0.21 12.01 14.2388 159.87

2.26 0.16 12.36 14.8184 124.79

1.86 0.1280 12.71 15.3980 103.73

1.59 0.1067 13.07 15.9776 89.701.40 0.0914 13.42 16.5572 79.67

0.98 0.0582 14.83 18.8757 57.80

0.79 0.0427 16.24 21.1941 47.59

0.64 0.0305 18.35 24.6712 39.57

0.45 0.0397 9.99 13.9766 29.79

0.39 0.0356 9.62 13.7991 26.54

0.34 0.0310 9.54 14.0075 23.73

0.31 0.0279 9.75 14.4375 22.33

0.30 0.0260 10.02 14.8393 21.63

0.29 0.0246 10.28 15.1879 21.21

0.28 0.0228 10.76 15.7481 20.73

0.28 0.0216 11.17 16.1756 20.46

0.27 0.0207 11.53 16.5126 20.29

0.27 0.0196 11.99 16.9039 20.13

0.27 0.0187 12.50 17.2873 19.99

0.26 0.0179 12.93 17.5708 19.91

0.26 0.0169 13.61 17.9638 19.80

0.26 0.0161 14.26 18.2763 19.73

0.26 0.0154 14.77 18.4842 19.69

0.26 0.0150 15.19 18.6328 19.66

0.26 0.0146 15.55 18.7444 19.64

0.26 0.0143 15.85 18.8313 19.63

0.26 0.0141 16.12 18.9009 19.62

0.26 0.0139 16.36 18.9579 19.61

0.26 0.0127 17.82 19.2305 19.5712.51

24.67

12 40 11.938 800.2 64.00 3.79

400.2 32.00 3.79

266.9 21.33 3.79

200.2 16.00 3.79

160.2 12.80 3.80

80.2 6.40 3.80


24/50

53.6 4.27 3.81

40.2 3.20 3.81

32.2 2.56 3.82

16.2 1.28 3.84

10.9 0.85 3.87

8.2 0.64 3.89

6.6 0.51 3.925.6 0.43 3.94

4.8 0.37 3.97

4.2 0.32 4.00

2.9 0.21 4.10

2.2 0.16 4.20

0.2 0.0130 5.05

2 40 2.067 500.3 64.00 0.41

250.3 32.00 0.41

167.0 21.33 0.41

125.3 16.00 0.41

100.3 12.80 0.4150.3 6.40 0.41

33.6 4.27 0.41

25.3 3.20 0.42

20.3 2.56 0.42

10.3 1.28 0.42

7.0 0.85 0.43

5.3 0.64 0.43

4.3 0.51 0.44

3.6 0.43 0.45

3.2 0.37 0.45

2.8 0.32 0.46

2.0 0.21 0.48

1.5 0.16 0.51

1.3 0.13 0.53

2 40 2.067 500.2 64.00 0.41

250.2 32.00 0.41

166.9 21.33 0.41

125.2 16.00 0.41

100.2 12.80 0.41

50.2 6.40 0.41

33.6 4.27 0.41

25.2 3.20 0.41

20.2 2.56 0.41

10.2 1.28 0.426.9 0.85 0.42

5.2 0.64 0.43

4.2 0.51 0.43

3.6 0.43 0.44

3.1 0.37 0.44

2.7 0.32 0.45

1.9 0.21 0.46

1.5 0.16 0.48


25/50

1.2 0.13 0.50

2 40 2.067 1000.5 64.00 0.82

500.5 32.00 0.82

333.9 21.33 0.82

250.5 16.00 0.82200.5 12.80 0.82

100.5 6.40 0.82

67.2 4.27 0.83

50.5 3.20 0.83

40.5 2.56 0.83

20.5 1.28 0.84

13.9 0.85 0.85

10.5 0.64 0.86

8.5 0.51 0.87

7.2 0.43 0.88

6.2 0.37 0.89

5.5 0.32 0.913.9 0.21 0.95

3.0 0.16 0.99

2.5 0.13 1.03

2 40 2.067 1000.4 64.00 0.82

500.4 32.00 0.82

333.8 21.33 0.82

250.4 16.00 0.82

200.4 12.80 0.82

100.4 6.40 0.82

67.1 4.27 0.83

50.4 3.20 0.83

40.4 2.56 0.83

20.4 1.28 0.84

13.8 0.85 0.85

10.4 0.64 0.86

8.4 0.51 0.87

7.1 0.43 0.88

6.2 0.37 0.88

5.4 0.32 0.89

3.8 0.21 0.93

2.9 0.16 0.97

2.4 0.13 1.00

2 40 2.067 150.1 64.00 0.12

75.1 32.00 0.12

50.1 21.33 0.12

37.6 16.00 0.12

30.1 12.80 0.12

15.1 6.40 0.12

10.1 4.27 0.12

7.6 3.20 0.12


26/50

6.1 2.56 0.12

3.1 1.28 0.13

2.1 0.85 0.13

1.6 0.64 0.13

1.3 0.51 0.13

1.1 0.43 0.13

0.9 0.37 0.130.8 0.32 0.14

0.6 0.21 0.14

0.4 0.16 0.15

0.4 0.13 0.15

2 40 2.067 801.2 64.00 0.66

401.2 32.00 0.66

267.9 21.33 0.66

201.2 16.00 0.66

161.2 12.80 0.66

81.2 6.40 0.67

54.5 4.27 0.6741.2 3.20 0.68

33.2 2.56 0.68

17.2 1.28 0.70

11.9 0.85 0.73

9.2 0.64 0.75

7.6 0.51 0.78

6.5 0.43 0.80

5.8 0.37 0.83

5.2 0.32 0.85

3.9 0.21 0.95

3.2 0.16 1.05

2.8 0.13 1.14

2 40 2.067 300.1 64.00 0.25

150.1 32.00 0.25

100.1 21.33 0.25

75.1 16.00 0.25

60.1 12.80 0.25

30.1 6.40 0.25

20.1 4.27 0.25

15.1 3.20 0.25

12.1 2.56 0.25

6.1 1.28 0.25

4.1 0.85 0.263.1 0.64 0.26

2.5 0.51 0.26

2.1 0.43 0.26

1.9 0.37 0.27

1.6 0.32 0.27

1.1 0.21 0.28

0.9 0.16 0.29

0.7 0.13 0.31


27/50

2 40 2.067 500.2 64.00 0.41

250.2 32.00 0.41

166.9 21.33 0.41

125.2 16.00 0.41

100.2 12.80 0.41

50.2 6.40 0.4133.6 4.27 0.41

25.2 3.20 0.41

20.2 2.56 0.41

10.2 1.28 0.42

6.9 0.85 0.42

5.2 0.64 0.43

4.2 0.51 0.43

3.6 0.43 0.44

3.1 0.37 0.44

2.7 0.32 0.45

1.9 0.21 0.46

1.5 0.16 0.481.2 0.13 0.50

2 40 2.067 1000.4 64.00 0.82

500.4 32.00 0.82

333.7 21.33 0.82

250.4 16.00 0.82

200.4 12.80 0.82

100.4 6.40 0.82

67.0 4.27 0.82

50.4 3.20 0.83

40.4 2.56 0.83

20.4 1.28 0.84

13.7 0.85 0.84

10.4 0.64 0.85

8.4 0.51 0.86

7.0 0.43 0.87

6.1 0.37 0.87

5.4 0.32 0.88

3.7 0.21 0.91

2.9 0.16 0.94

2.4 0.13 0.97

2 40 2.067 1505.9 64.00 1.24

755.9 32.00 1.24

505.9 21.33 1.25380.9 16.00 1.25

305.9 12.80 1.25

155.9 6.40 1.28

105.9 4.27 1.30

80.9 3.20 1.33

65.9 2.56 1.35

35.9 1.28 1.47

25.9 0.85 1.60


28/50

20.9 0.64 1.72

17.9 0.51 1.84

15.9 0.43 1.96

14.5 0.37 2.08

13.4 0.32 2.20

10.9 0.21 2.69

9.7 0.16 3.188.9 0.13 3.66

2 40 2.067 1003.0 64.00 0.82

503.0 32.00 0.83

336.3 21.33 0.83

253.0 16.00 0.83

203.0 12.80 0.83

103.0 6.40 0.84

69.6 4.27 0.86

53.0 3.20 0.87

43.0 2.56 0.88

23.0 1.28 0.9416.3 0.85 1.00

13.0 0.64 1.06

11.0 0.51 1.12

9.6 0.43 1.19

8.7 0.37 1.25

8.0 0.32 1.31

6.3 0.21 1.55

5.5 0.16 1.79

5.0 0.13 2.04

2 40 2.067 800.4 64.00 0.66

400.4 32.00 0.66

267.0 21.33 0.66

200.4 16.00 0.66

160.4 12.80 0.66

80.4 6.40 0.66

53.7 4.27 0.66

40.4 3.20 0.66

32.4 2.56 0.66

16.4 1.28 0.67

11.0 0.85 0.68

8.4 0.64 0.69

6.8 0.51 0.69

5.7 0.43 0.70

4.9 0.37 0.714.4 0.32 0.72

3.0 0.21 0.75

2.4 0.16 0.78

2.0 0.13 0.81

2 40 2.067 2014.8 64.00 1.65

1014.8 32.00 1.67

681.5 21.33 1.68


29/50

514.8 16.00 1.69

414.8 12.80 1.70

214.8 6.40 1.76

148.2 4.27 1.82

114.8 3.20 1.88

94.8 2.56 1.94

54.8 1.28 2.2541.5 0.85 2.55

34.8 0.64 2.86

30.8 0.51 3.16

28.2 0.43 3.47

26.3 0.37 3.77

24.8 0.32 4.08

21.5 0.21 5.29

19.8 0.16 6.51

18.8 0.13 7.73

2 40 2.067 1502.2 64.00 1.23

752.2 32.00 1.23502.2 21.33 1.24

377.2 16.00 1.24

302.2 12.80 1.24

152.2 6.40 1.25

102.2 4.27 1.26

77.2 3.20 1.27

62.2 2.56 1.28

32.2 1.28 1.32

22.2 0.85 1.37

17.2 0.64 1.41

14.2 0.51 1.46

12.2 0.43 1.50

10.8 0.37 1.55

9.7 0.32 1.60

7.2 0.21 1.78

6.0 0.16 1.96

5.2 0.13 2.14

2 40 2.067 1000.7 64.00 0.82

500.7 32.00 0.82

334.1 21.33 0.82

250.7 16.00 0.82

200.7 12.80 0.82

100.7 6.40 0.83

67.4 4.27 0.8350.7 3.20 0.83

40.7 2.56 0.84

20.7 1.28 0.85

14.1 0.85 0.87

10.7 0.64 0.88

8.7 0.51 0.90

7.4 0.43 0.91

6.5 0.37 0.93


30/50

5.7 0.32 0.94

4.1 0.21 1.00

3.2 0.16 1.06

2.7 0.13 1.12

lculation of 'K' factor & Equivalent Length

used by technically skilled persons at their


31/50

4" 6" 8" 10" 12"

Le/D K/Ft Le/D K/Ft Le/D K/Ft Le/D K

12.5049 47077.18 12.5046 53352.75 12.5044 57162.95 12.5043 57162.50 12.50


32/50

12.5098 23547.77 12.5091 26686.08 12.5088 28591.52 12.5086 28591.07 12.51

12.5146 15704.63 12.5137 17797.19 12.5132 19067.71 12.5129 19067.26 12.51

12.5195 11783.06 12.5182 13352.75 12.5176 14305.81 12.5172 14305.35 12.52

12.5244 9430.12 12.5228 10686.08 12.5220 11448.67 12.5215 11448.21 12.52

12.5488 4724.24 12.5455 5352.75 12.5440 5734.38 12.5430 5733.93 12.54

12.5731 3155.61 12.5683 3574.97 12.5659 3829.62 12.5644 3829.16 12.56

12.5975 2371.30 12.5910 2686.08 12.5879 2877.24 12.5859 2876.78 12.5812.6219 1900.71 12.6138 2152.75 12.6099 2305.81 12.6074 2305.35 12.61

12.7438 959.54 12.7275 1086.08 12.7198 1162.95 12.7148 1162.50 12.71

12.8657 645.81 12.8413 730.53 12.8297 782.00 12.8222 781.54 12.82

12.9877 488.95 12.9550 552.75 12.9396 591.52 12.9296 591.07 12.92

13.1096 394.83 13.0688 446.08 13.0495 477.24 13.0370 476.78 13.03

13.2315 332.08 13.1825 374.97 13.1594 401.05 13.1444 400.59 13.14

13.3534 287.27 13.2963 324.18 13.2692 346.63 13.2518 346.17 13.24

13.4753 253.65 13.4101 286.08 13.3791 305.81 13.3592 305.35 13.35

13.9630 175.22 13.8651 197.19 13.8187 210.57 13.7888 210.12 13.77

14.4506 136.01 14.3201 152.75 14.2583 162.95 14.2184 162.50 14.19

14.9383 112.48 14.7752 126.08 14.6978 134.38 14.6480 133.93 14.62

15.4259 96.79 15.2302 108.30 15.1374 115.33 15.0777 114.88 15.0415.9136 85.59 15.6852 95.61 15.5770 101.73 15.5073 101.27 15.46

17.8642 61.14 17.5053 67.90 17.3353 72.04 17.2257 71.59 17.16

19.8148 49.73 19.3255 54.97 19.0935 58.19 18.9441 57.73 18.85

22.7402 40.77 22.0552 44.81 21.7305 47.31 21.5214 46.85 21.39

12.6572 29.84 12.1827 32.42 11.9566 34.03 11.8105 33.58 11.72

12.3586 26.20 11.8386 28.30 11.5904 29.62 11.4299 29.16 11.33

12.4219 23.06 11.8458 24.75 11.5700 25.81 11.3915 25.35 11.28

12.7620 21.50 12.1493 22.97 11.8554 23.90 11.6648 23.45 11.54

13.1197 20.71 12.4882 22.08 12.1846 22.95 11.9875 22.50 11.86

13.4482 20.24 12.8074 21.55 12.4988 22.38 12.2984 21.93 12.17

14.0056 19.70 13.3617 20.94 13.0513 21.73 12.8495 21.27 12.72

14.4544 19.40 13.8187 20.60 13.5123 21.36 13.3130 20.91 13.19

14.8234 19.21 14.2016 20.38 13.9023 21.13 13.7078 20.68 13.58

15.2704 19.03 14.6745 20.18 14.3890 20.91 14.2040 20.46 14.09

15.7302 18.88 15.1725 20.01 14.9081 20.73 14.7380 20.27 14.63

16.0863 18.79 15.5672 19.90 15.3249 20.61 15.1706 20.16 15.07

16.6061 18.67 16.1598 19.77 15.9608 20.48 15.8384 20.02 15.76

17.0450 18.59 16.6780 19.68 16.5286 20.38 16.4438 19.93 16.40

17.3521 18.55 17.0519 19.63 16.9461 20.32 16.8956 19.87 16.87

17.5799 18.52 17.3361 19.59 17.2687 20.29 17.2489 19.83 17.25

17.7560 18.49 17.5603 19.57 17.5265 20.26 17.5343 19.80 17.55

17.8964 18.48 17.7421 19.55 17.7380 20.24 17.7707 19.78 17.81

18.0110 18.46 17.8926 19.53 17.9149 20.22 17.9700 19.77 18.03

18.1064 18.45 18.0195 19.52 18.0654 20.21 18.1408 19.75 18.21

18.5836 18.41 18.6777 19.47 18.8678 20.15 19.0741 19.70 19.2512.36 11.84 11.57 11.39 11.28

22.74 22.06 21.73 21.52 21.39


33/50


34/50


35/50


36/50


37/50


38/50


39/50


40/50

14 16 18 20

61559.30 12.5042 61559.16 12.5042 61558.97 12.50 66688.73 12.50 66688.61


41/50

30790.07 12.5084 30789.93 12.5083 30789.74 12.51 33355.40 12.51 33355.27

20533.66 12.5126 20533.52 12.5125 20533.33 12.51 22244.29 12.51 22244.16

15405.46 12.5168 15405.31 12.5167 15405.13 12.52 16688.73 12.52 16688.61

12328.53 12.5210 12328.39 12.5208 12328.21 12.52 13355.40 12.52 13355.27

6174.69 12.5420 6174.54 12.5417 6174.36 12.54 6688.73 12.54 6688.61

4123.41 12.5631 4123.26 12.5625 4123.08 12.56 4466.51 12.56 4466.39

3097.76 12.5841 3097.62 12.5833 3097.44 12.58 3355.40 12.58 3355.272482.38 12.6051 2482.23 12.6042 2482.05 12.60 2688.73 12.60 2688.61

1251.61 12.7102 1251.47 12.7083 1251.28 12.71 1355.40 12.71 1355.27

841.35 12.8153 841.21 12.8125 841.03 12.81 910.96 12.81 910.83

636.23 12.9204 636.08 12.9167 635.90 12.91 688.73 12.91 688.61

513.15 13.0255 513.00 13.0208 512.82 13.02 555.40 13.01 555.27

431.10 13.1306 430.95 13.1250 430.77 13.12 466.51 13.12 466.39

372.49 13.2357 372.34 13.2292 372.16 13.22 403.02 13.22 402.89

328.53 13.3408 328.39 13.3333 328.21 13.33 355.40 13.32 355.27

225.97 13.7612 225.82 13.7500 225.64 13.74 244.29 13.73 244.16

174.69 14.1815 174.54 14.1667 174.36 14.16 188.73 14.15 188.61

143.92 14.6019 143.77 14.5833 143.59 14.57 155.40 14.56 155.27

123.41 15.0223 123.26 15.0000 123.08 14.98 133.18 14.97 133.05108.75 15.4427 108.61 15.4167 108.42 15.40 117.31 15.38 117.18

76.79 17.1242 76.64 17.0833 76.46 17.05 82.67 17.03 82.55

61.87 18.8058 61.72 18.7500 61.54 18.71 66.51 18.67 66.39

50.15 21.3277 50.00 21.2496 49.82 21.19 53.82 21.14 53.69

35.85 11.6749 35.71 11.6202 35.52 11.58 38.33 11.54 38.20

31.10 11.2808 30.95 11.2206 30.77 11.17 33.18 11.14 33.05

27.00 11.2254 26.85 11.1583 26.67 11.11 28.73 11.06 28.61

24.94 11.4873 24.80 11.4156 24.62 11.36 26.51 11.31 26.39

23.92 11.8039 23.77 11.7296 23.59 11.67 25.40 11.62 25.27

23.30 12.1115 23.16 12.0359 22.97 11.98 24.73 11.93 24.61

22.60 12.6612 22.45 12.5849 22.27 12.53 23.97 12.48 23.85

22.21 13.1271 22.06 13.0518 21.88 12.99 23.55 12.94 23.42

21.96 13.5265 21.81 13.4531 21.63 13.40 23.28 13.35 23.15

21.72 14.0320 21.57 13.9625 21.39 13.91 23.02 13.86 22.89

21.53 14.5807 21.38 14.5174 21.20 14.47 22.81 14.43 22.68

21.40 15.0292 21.26 14.9728 21.07 14.93 22.67 14.89 22.55

21.25 15.7299 21.11 15.6876 20.92 15.66 22.51 15.63 22.39

21.15 16.3751 21.00 16.3505 20.82 16.33 22.40 16.32 22.27

21.09 16.8641 20.94 16.8563 20.76 16.85 22.33 16.85 22.21

21.05 17.2516 20.90 17.2595 20.72 17.27 22.29 17.28 22.16

21.02 17.5684 20.87 17.5910 20.69 17.61 22.26 17.63 22.13

21.00 17.8335 20.85 17.8696 20.67 17.90 22.23 17.93 22.11

20.98 18.0592 20.83 18.1079 20.65 18.15 22.22 18.19 22.09

20.96 18.2542 20.82 18.3147 20.64 18.37 22.20 18.42 22.07

20.90 19.3516 20.76 19.4951 20.57 19.62 22.13 19.74 22.0111.23 11.16 11.11 11.06

21.33 21.25 21.19 21.14


42/50


43/50


44/50


45/50


46/50


47/50


48/50


49/50

24 30 36

12.50 66688.42 12.50 72750.66 12.50 74790.40


50/50

12.51 33355.09 12.51 37407.22

12.51 22243.98 12.51 24946.16

12.52 16688.42 12.52 18715.63

12.52 13355.09 12.52 14977.31

12.54 6688.42 12.54 7500.68

12.56 4466.20 12.56 5008.47

12.58 3355.09 12.58 3762.3612.60 2688.42 12.60 3014.70

12.70 1355.09 12.70 1519.37

12.81 910.64 12.80 1020.93

12.91 688.42 12.90 771.71

13.01 555.09 13.00 622.17

13.11 466.20 13.10 522.48

13.21 402.71 13.20 451.28

13.32 355.09 13.30 397.87

13.72 243.98 13.71 273.26

14.13 188.42 14.11 210.96

14.54 155.09 14.51 173.57

14.95 132.87 14.91 148.6515.36 116.99 15.31 130.85

16.99 82.36 16.92 92.01

18.62 66.20 18.53 73.89

21.07 53.50 20.94 59.65

11.49 38.01 11.40 42.28

11.08 32.87 10.98 36.50

11.00 28.42 10.89 31.52

11.25 26.20 11.13 29.03

11.55 25.09 11.43 27.78

11.86 24.42 11.73 27.03

12.40 23.66 12.28 26.18

12.87 23.24 12.75 25.70

13.28 22.97 13.16 25.40

13.80 22.71 13.69 25.11

14.37 22.49 14.27 24.87

14.84 22.36 14.75 24.72

15.59 22.20 15.53 24.54

16.30 22.09 16.27 24.42

16.85 22.02 16.86 24.34

17.30 21.98 17.34 24.29

17.67 21.94 17.74 24.26

17.99 21.92 18.09 24.23

18.26 21.90 18.40 24.21

18.50 21.89 18.67 24.19

19.93 21.82 20.34 24.1211.00 10.89

21.07 20.94

Documents

Friction loss calculation