aga table
DESCRIPTION
American Gas Association Table 8TRANSCRIPT
Appendix C
O r i f i c e M e t e r T a b l e s f o r N a t u r a l G a s
Table C-1 Fb Basic Orifice Factors—Flange Taps, page 304
Table C-2 "b" Values for Reynolds Number Factor Fr
Determination—Flange Taps, page 310
Table C-3 Y1 Expansion Factors—Flange Taps (Static PressureTaken from Upstream Taps), page 316
Table C-4 Y2 Expansion Factors—Flange Taps (Static PressureTaken from Downstream Taps), page 318
Table C-5 Ym Expansion Factors—Flange Taps (Static PressureMean of Upstream and Downstream), page 320
Table C-6 Fb Basic Orifice Factors—Pipe Taps, page 322
Table C-7 "b" Values for Reynolds Number Factor Fr
Determination—Pipe Taps, page 328
Table C-8 Y1 Expansion Factors—Pipe Taps (Static PressureTaken from Upstream Taps), page 334
Table C-9 Y2 Expansion Factors—Pipe Taps (Static PressureTaken from Downstream Taps), page 336
Previous Page
Table C-1 Fb Basic Orifice Factors—Flange Taps
Base temperature = 60 0FFlowing temperature = 60 0FBase pressure = 14.73 pslaSpecific gravity = 1.0
Pipe Sizes—Nominal and Published Inside Diameters, in
OrificeDiameter
(in)
0.250
0.375
0.500
0.625
0.750
0.875
1.000
1.125
1.250
1.375
1.500
1.625
1.750
1.875
2.000
2.125
2.250
2.375
2.500
1.689
12.695
28.474
50.777
80.090
117.09
162.95
219.77
290.99
385.78
2
1.939
12.707
28.439
50.587
79.509
115.62
159.56
212.47
276.20
353.58
448.57
2.067
12.711
28.428
50.521
79.311
115.14
158.47
210.22
271.70
345.13
433.50
542.26
2.300
12.714
28.411
50.435
79.052
114.52
157.12
207.44
266.35
335.12
415.75
510.86
623.91
3
2.626
12.712
28.393
50.356
78.818
113.99
156.00
205.18
262.06
327.39
402.18
487.98
586.82
701.27
834.88
2.900
12.708
28.382
50.313
78.686
113.70
155.41
204.04
259.95
323.63
395.80
477.36
569.65
674.44
793.88
930.65
1,091.2
3.068
12.705
28.376
50.292
78.625
113.56
155.14
203.54
259.04
322.03
393.09
472.96
562.58
663.42
777.18
906.01
1,052.5
1,223.2
4
3.152
12.703
28.373
50.284
78.598
113.50
155.03
203.33
258.65
321.37
391.97
471.14
559.72
658.96
770.44
896.06
1,038.1
1,199.9
3.438
12.697
28.364
50.258
78.523
113.33
154.71
202.75
257.63
319.61
389.03
466.39
552.31
647.54
753.17
870.59
1,001.4
1,147.7
1,311.7
1,498.4
OrificeDiameter
(in)0.2500.3750.5000.6250.7500.8751.0001.1251.2501.3751.5001.6251.7501.8752.0002.1252.2502.3752.5002.6252.7502.8753.0003.1253.2503.3753.5003.6253.7503.8754.0004.2504.5004.7505.0005.2505.5005.7506.000
4
3.826
12.68728.35350.23478.450113.15154.40202.20256.69318.03386.45462.27545.89637.84738.75849.41970.951,104.71,252.11,415.01,595.61,797.1
4.026
12.68328.34850.22478.421113.08154.27201.99256.33317.45385.51460.79543.61634.39733.68842.12960.481,089.91,231.71,387?1,558.21,746.71,955.52,194.9
4.897
50.19778.338112.87153.88201.34255.31315.83382.99456.93537.77625.73721.03823.99934.971,054.41,182.91,320.91,469.21,628.91,801.01,986.62,187.22,404.22,639.52,895.53,180.8
6
5.182
50.19178.321112.82153.78201.19255.08315.48382.47456.16536.64624.09718.69820.68930.351,048.11,174.21,309.31,453.91,608.71,774.51,952.42,143.42,348.82,569.82,808.13,065.33,345.53,657.7
5.761
50.18278.296112.75153.63200.96254.72314.95381.70455.03535.03621.79715.44816.13924.071,039.51,162.61,293.81,433.51,582.11,740.01,907.8P086 42,276.52,479.12,695.12,925.73,172.13,435.73,718.24,354.8
6.065
50.17878.287112.72153.56200.85254.56314.72381.37454.57534.38620.88714.19814.41921.711,036.31,158.31,288.21,426.01,572.31,727.51,891.92,066.12,250.82,446.82,654.92,876.03,111.23,361.53,628.24,216.64,900.9
7.625
153.34200.46253.99313.91380.25453.02532.27618.02710.32809.22914.791,027.11,146.21,272.31,405.41,545.71,693.41,848.62,011 62,182.62,361.82,654.92,746.52,952.63,168.33,394.33,879.44,412.85,000.75,650.06,369.37,170.9
8
7.981
153.31200.39253.69313.78380.06452.78531.95617.60709.77808.50913.861,025.91,144.71,270.31,402.91,542.51,689.31,843.52,005.22,174.62,352.02,537.72,731.82,934.83,146.93,368.53,842.34,360.54,928.15,551.16,236.46,992.07,830.0
8.071
153.31200.38253.87313.74380.02452.72531.87617.50709.64808.34913.641,025.61,144.31,269.81,402.31,541.81,688.41,842.32,003.82,172.92,349.92,535.02,728.62,930.83,142.13,362.93,834.24,349.04,912.25,529.56,207.36,953.67,777.88,706.9
OrificeDiameter
(in)
1,000
1.125
1.250
1.375
1.500
1.625
1.750
1.875
2.000
2.125
2.250
2.375
2.500
2.625
2.750
2.875
3.000
3.125
3.250
3.375
3.500
3.625
3.750
3.875
4.000
4.250
4.500
4.750
5.000
5.250
5.500
9.564
200.20
253.55
313.31
379.44
451.95
530.87
616.21
707.99
806.23
910.97
1,022.2
1,140.1
1,264.5
1,395.6
1,533.4
1,678.0
1,829.4
1,987.8
2,153.2
2,325.7
2,505.6
2,692.8
2,887 6
3,090.1
3,300.6
3,746.1
4,226.0
4,742.7
5,298.6
5,897 4
6,543.1
10
10.020
253.48
313.20
379.29
451.76
530.63
615.90
707.61
805.76
910.38
1,021.5
1,139.2
1,263.4
1,394.2
1,531.7
1,675.9
1,826.9
1,984.7
2,149.5
2,321.2
2,500.1
2,686.2
2,879.7
3,080.7
3,289.3
3,730.2
4,204.1
4,712.8
5,258.5
5,843.6
6,471.9
10.136
253.47
313.18
379.26
451.72
530.57
615.83
707.51
805.65
910.24
1,021.3
1,139.0
1,263.1
1,393.9
1,531.3
1,675.4
1,826.3
1,984.0
2,148.6
2,320.2
2,498.9
2,684.7
2,877.9
3,078.5
3,286.8
3,726.7
4,199.2
4,706.2
5,249.6
5,831.8
6,456.3
11.376
312.94
378.94
451.30
530.04
615.16
706.68
804.61
908.98
1,019.8
1,137.1
1,260.8
1,391.1
1,528.0
1,671.4
1,821.4
1,978.1
2,141.5
2,311.7
2,488.7
2,672.6
2,863.5
3,061.4
3,266.4
3,698.4
4,160.4
4,653.4
5,179.0
5,738.5
6,333.8
12
11.938
312.85
378.82
451.14
529.83
614.90
706.36
804.23
908.51
1,019.2
1,136.4
1,260.0
1,390.1
1,526.8
1,670.0
1,819.7
1,976.1
2,139.2
2,308.9
2,485.4
2,668.7
2,858.8
3,055.9
3,260.0
3,689.6
4,148.4
4,637.2
5,157.4
5,710.0
6,296.6
12.090
312.83
378.79
451.10
529.78
614.84
706.28
804.13
908.39
1,019.1
1,136.2
1,259.8
1,389.9
1,526.5
1,669.6
1,819.3
1,975.6
2,130.6
2,308.2
2,484.6
2,667.7
2,857.7
3,054.6
3,258.5
3,687.5
4,145.5
4,633.4
5,152.3
5,703.3
6,287.9
14.688
450.53
529.06
613.94
705.18
802.78
906.77
1,017.1
1,133.9
1,257.1
1,386.7
1,522.7
1,665.2
1,814.1
1,969.6
2,131.5
2,299.9
2,474.9
2,656.4
2,844.6
3,039.4
3,240.8
3,663.8
4,113.9
4,591.5
5,097.2
5,631.4
6,194.8
16
15.000
450.48
528.99
613.85
705.07
802.65
906.61
1,017.0
1,133.7
1,256.8
1,386.4
1,522.4
1,664.8
1,813.7
1,969.0
2,130.9
2,299.2
2,474.1
2,655.5
2,843.5
3,038.1
3,239.4
3,661.9
4,111.5
4,508.4
5,093.1
5,626.1
6,180.1
15.250
528.94
613.78
704.99
802.55
906.49
1,016.8
1,133.5
1,256.6
1,386.1
1,522.1
1,664.5
1,813.3
1,966.6
2,130.4
2,293.7
2,473.5
2,654.8
2,842.7
3,037.2
3,238.3
3,660.5
4,109.7
4,586.0
5,090.1
5,622.3
6,183.1
OrificeDiameter
(in)
5.750
6.000
6.250
6.500
6.750
7.000
7.250
7.500
7.750
8.000
8.250
8.500
8.750
9.000
9.250
9.500
9.750
10.000
10.250
10.500
10.750
11.000
11.250
9.564
7,240.0
7,993.3
8,808.9
9,693 3
10,654
11,711
10
10.020
7,146.9
7,873.0
8,654.8
9,498.1
10,409
11,394
12,467
13,656
10.136
7,126.5
7,846.6
8,621.1
9,455.3
10,355
11,327
12,381
13,541
11.376
6,966.9
7,640.4
8,357.3
9,121.0
9,935.2
10,804
11,732
12,725
13,787
14,927
16,156
17,505
12
11.938
6,919.0
7,579.0
8,278.9
9,021.7
9,810.5
10,649
11,540
12,489
13,500
14,578
15,730
16,962
18,296
12.090
6,907.8
7,564.7
8,260.7
8,998.7
9,781.6
10,613
11,496
12,434
13,433
14,498
15,633
16,845
18,148
19,565
14.688
6,788.1
7,412.3
8,060.4
8,757.3
9,480.4
10,239
11,035
11,869
12,745
13,664
14,628
15,642
16,706
17,826
19,004
20,245
21,552
22,930
24,385
25,924
27,567
29,331
16
15.000
6,779.5
7,401.5
8,054.8
8,740.3
9,459.4
10,213
11,003
11,831
12,698
13,607
14,560
15,560
16,609
17,711
18,868
20,085
21,365
22,712
24,132
25,628
27,210
28,899
30,710
15.250
6,773.3
7,393.6
8,044.8
8,727.9
9,444.0
10,194
10,980
11,803
12,664
13,566
14,511
15,501
16,539
17,628
18,770
19,969
21,230
22,555
23,948
25,416
26,962
28,600
30,348
OrificeDiameter
(in)
2.0002.1252.2502.3752.5002.6252.7502.8753.0003.1253.2503.3753.5003.6253.7503.8754.0004.2504.5004.7505.0005.2505.5005.7506.0006.2506.5006.7507.0007.2507.5007.7508.0008.2508.500
18.814
801.40905.111,015.21,131.61,254.41,383.61,519.11,661.01,809.41,964.12,125.32,292.92,466.92,647 32,834 ?3,027.53,227.53,646.74,092.14,563.75,061.85,586.66,138.26,717.07,323.47,957 58,620.09,311.110,03110,78211,56212,37413,21814,09515,005
20
19.000
801.35905.061,015.11,131.51,254.31,383.51,519.01,660.91,809.21,963.92,125 12,292.62,466.62,647.02,833.93,027.33,227.13,646.24,091.54,562.95,060.85,585.46,136.76,715.27,321.17,954.78,616.59,306.910,02610,77611,55512,36513,20714,08214,990
19.250
801.29904.981,015.01,131.41,254.21,383.31,518.81,660.71,809.01,963.72,124.82,292.32,466.32,646.62,833.53,026.83,226.53,645.64,090.64,561.95,050.65,583.86,134.86,712.37,318.27,951.28,612?9,301.610,02010,76811,54612,35413,19414,06614,971
22.626
1,130.21,252.81,381.71,517.01,658 61,806 61,961 02,121.72,280.92,462.42,642.42,828.73,021.53,220.63,638.34,081.84,551.15,046.45,567.76,115.36,689.17,289.47,916.48,570.29,251.19,959.310,69511,45912,25013,07113,92014,799
24
23.000
1,130.11,252.61,381.51,516.81,658.41,806.41,960.72,121.52,288.62,462 12,642.02,828.33,021.03,220.13,637.74,081.04,550.15,045.25,566.46,113.66,687.27,287.17,913.68,566.99,247.29,954.610,66911,45212,24313,06213,91014,787
23.250
1,130.01,252.61,381.41,516.71,658.31,806.21,960.62,121.32,288.42,461.82,641.72,828.03,020.73,219.83,637.24,080.54,549.55,044.55,565 56,112.66,685.97,285.67,911.98,564.89,244.79,951.710,68611,44812,23813,05613,90314,779
28.628
1,656.01,803.71,957.72,118.02,284.82,457.82,637.32,823.13,015.23,213.83,630.14,071.94,539.45,032.55,551.36,095.86,666.27,262.57,864.78,533.09,207.49,908.010,63511,38812,16812,97513,80914,669
30
29.000
1,803.51,957.52,117.92,284.52,457.62,637.02,822.83,014.93,213.53,629.74,071.44,538.85,031.85,550.56,094.96,665.27,261.37,883.48,531.49,205.69,905.910,63311,38612,16512,97113,80514,665
29.250
1,803.41,957.42,117.72,284.42,457.52,636.82,822.63,014.73,213.23,629.44,071.14,538.45,031.45,550.06,094.46,664.57,260.57,882.58,530.49,204.49,904.610,63111,38412,16312,96913,80214,661
OrificeDiameter
(in)
8.750
9.000
9.250
9.500
9.750
10.000
10.250
10.500
10.750
11.000
11.250
11.500
11.750
12.000
12.500
13.000
13.500
14.000
14.500
15.000
15.500
16.000
16.500
17.000
17.500
18,000
18.500
19.000
19.500
20.000
20.500
21.000
21.500
18.814
15,950
16,932
17,950
19,007
20,104
21,243
22,426
23,654
24,931
26,257
27,636
29,070
30,562
32,116
35,417
39,003
42,913
47,244
20
19.000
15,933
16,911
17,926
18,979
20,071
21,205
22,332
23,603
24,672
26,190
27,559
28,982
30,462
32,001
35,270
38,817
42,673
46,921
19.250
15,911
16,885
17,895
18,943
20,030
21,157
22,326
23,538
24,797
26,104
27,460
28,870
30,334
31,856
35,084
38,581
42,375
46,523
22.626
15,708
16,648
17,618
18,620
19,655
20,723
21,825
22,926
24,134
25,344
26,592
27,878
29,205
30,574
33,444
36,502
39,762
43,241
46,958
50,934
55,192
59,759
64,701
24
23.000
15,693
16,630
17,596
18,597
19,628
20,692
21,789
22,921
24,087
25,290
26,531
27,809
29,126
30,485
33,330
36,357
39,581
43,015
46,679
50,591
54,774
59,251
64,060
69,288
23.250
15,684
16,620
17,585
18,582
19,611
20,672
21,767
22,895
24,058
25,257
26,492
27,766
29,077
30,429
33,259
36,267
39,467
42,874
46,505
50,378
54,513
58,935
63,670
68,792
28.628
15,557
16,473
17,416
18,387
19,386
20,414
21,471
22,556
23,672
24,817
25,992
27,199
28,437
29,706
32,343
35,114
38,025
41,082
44,291
47,622
51,202
54,923
58,835
62,950
67,282
71,844
76,653
81,725
87,079
92,734
98,728
105,130
30
29.000
15,552
16,466
17,409
18,379
19,377
20,403
21,458
22,542
23,656
24,799
25,972
27,176
28,411
29,677
32,306
35,068
37,968
41,012
44,206
47,557
51,075
54,769
58,649
62,728
67,017
71,530
76,282
81,289
86,568
92,140
98,025
104,280
110,980
29.250
15,548
16,462
17,404
18,373
19,371
20,396
21,450
22,533
23,646
24,787
25,959
27,161
28,394
29,659
32,283
35,039
37,932
40,968
44,151
47,490
50,993
54,671
58,531
62,586
66,848
71,330
76,046
81,012
86,244
91,761
97,564
103,750
110,340
Table C-2 "f>" Values for Reynolds Number Factor F, Determination-Flange Taps
Pipe Sizes—Nominal and Published Inside Diameters, in
OrificeDiameter
(in)
0.250
0.375
0.500
0.625
0.750
0.875
1.000
1.125
1.250
1.375
1.500
1.625
1.750
1.875
2.000
2.125
2.250
2.375
2.500
1.689
0.0879
0.0677
0.0562
0.0520
0.0536
0.0595
0.0677
0.0762
0.0824
2
1.939
0.0911
0.0709
0.0576
0.0505
0.0485
0.0506
0.0559
0.0630
0.0707
0.0772
2.067
0.0926
0.0726
0.0588
0.0506
0.0471
0.0478
0.0515
0.0574
0.0646
0.0715
0.0773
2.3
0.0950
0.0755
0.0612
0.0516
0.0462
0.0445
0.0458
0.0495
0.0550
0.0614
0.0679
0.0735
3
2.626
0.0979
0.0792
0.0648
0.0541
0.0470
0.0429
0.0416
0.0427
0.0456
0.0501
0.0554
0.0613
0.0669
0.0717
2.9
0.0999
0.0820
0.0677
0.0566
0.0486
0.0433
0.0403
0.0396
0.0408
0.0435
0.0474
0.0522
0.0575
0.0628
0.0676
0.0715
3.068
0.1010
0.0836
0.0695
0.0583
0.0498
0.0438
0.0402
0.0386
0.0388
0.0406
0.0436
0.0477
0.0524
0.0574
0.0624
0.0669
0.0706
3.152
0.1014
0.0844
0.0703
0.0591
0.0504
0.0442
0.0403
0.0383
0.0381
0.0394
0.0420
0.0457
0.0500
0.0549
0.0598
0.0642
0.0685
4
3.438
0.1030
0.0867
0.0728
0.0618
0.0528
0.0460
0.0411
0.0380
0.0365
0.0365
0.0378
0.0402
0.0434
0.0473
0.0517
0.0563
0.0607
0.0648
0.0683
OrificeDiameter
(in)
0.250
0.375
0.500
0.625
0.750
0.875
1.000
1.125
1.250
1.375
1.500
1.625
1.750
1.875
2.000
2.125
2.250
2.375
2.500
2.625
2.750
2.875
3.000
3.125
3.250
3.375
3.500
3.625
3.750
3.875
4.000
4.250
4.500
4
3.826
0.1047
0.0894
0.0763
0.0653
0.0561
0.0487
0.0430
0.0388
0.0361
0.0347
0.0345
0.0354
0.0372
0.0398
0.0430
0.0467
0.0507
0.0548
0.0589
0.0626
0.0659
4.026
0.1054
0.0907
0.0779
0.0670
0.0578
0.0502
0.0442
0.0396
0.0364
0.0344
0.0336
0.0338
0.0350
0.0370
0.0395
0.0427
0.0462
0.0501
0.0540
0.0579
0.0615
0.0647
0.0673
4.897
0.0836
0.0734
0.0645
0.0567
0.0500
0.0444
0.0399
0.0363
0.0336
0.0318
0.0307
0.0305
0.0308
0.0318
0.0334
0.0354
0.0378
0.0406
0.0436
0.0468
0.0500
0.0533
0.0564
0.0594
0.0620
0.0643
6
5.189
0.0852
0.0753
0.0665
0.0587
0.0520
0.0462
0.0414
0.0375
0.0344
0.0322
0.0306
0.0298
0.0296
0.0300
0.0310
0.0324
0.0342
0.0365
0.0391
0.0418
0.0448
0.0479
0.0510
0.0541
0.0569
0.0597
0.0621
0.0640
5.761
0.0880
0.0785
0.0701
0.0625
0.0557
0.0498
0.0447
0.0403
0.0367
0.0337
0.0314
0.0298
0.0287
0.0281
0.0281
0.0286
0.0295
0.0308
0.0324
0.0343
0.0366
0.0389
0.0416
0.0443
0.0472
0.0500
0.0527
0.0553
0.0578
0.0620
6.065
0.0892
0.0801
0.0718
0.0643
0.0576
0.0517
0.0464
0.0419
0.0381
0.0348
0.0322
0.0303
0.0288
0.0278
0.0274
0.0274
0.0279
0.0287
0.0300
0.0314
0.0332
0.0353
0.0375
0.0400
0.0426
0.0452
0.0479
0.0505
0.0531
0.0579
0.0618
7.625
0.0723
0.0660
0.0602
0.0549
0.0518
0.0457
0.0418
0.0383
0.0353
0.0327
0.0304
0.0286
0.0271
0.0259
0.0251
0.0246
0.0244
0.0245
0.0248
0.0254
0.0263
0.0273
0.0286
0.0300
0.0316
0.0334
0.0372
0.0414
8
7.981
0.0738
0.0676
0.0517
0.0566
0.0518
0.0474
0.0435
0.0399
0.0366
0.0340
0.0315
0.0295
0.0278
0.0264
0.0253
0.0245
0.0240
0.0238
0.0239
0.0242
0.0248
0.0255
0.0265
0.0274
0.0289
0.0304
0.0338
0.0386
8.071
0.0742
0.0680
0.0623
0.0571
0.0523
0.0479
0.0439
0.0403
0.0371
0.0343
0.0318
0.0297
0.0280
0.0265
0.0254
0.0245
0.0240
0.0237
0.0237
0.0240
0.0244
0.0251
0.0260
0.0271
0.0283
0.0297
0.0330
0.0366
OrificeDiameter
(in)
4.750
5.000
5.250
5.500
5.750
6.000
OrificeDiameter-
(in)
1
1.125
1.25
1.375
1.5
1.625
1.75
1.875
2
2.125
2.25
2.375
2.5
2.625
2.75
2.875
3
3.125
3.25
3.375
3.5
3.625
3.75
3.875
4
4
3.826
9.564
0.0738
0.0685
0.0635
0.0588
0.0545
0.0504
0.0467
0.0433
0.0401
0.0372
0.0346
0.0322
0.0302
0.0283
0.0267
0.0254
0.0243
0.0234
0.0226
0.0221
0.0219
0.0218
0.0218
0.0221
0.0225
4.026
10
10.02
0.0701
0.0652
0.0606
0.0563
0.0523
0.0485
0.0451
0.0419
0.0389
0.0362
0.0337
0.0315
0.0296
0.0278
0.0263
0.025
0.0239
0.023
0.0223
0.0218
0.0214
0.0213
0.213
0.0214
4.897
10.136
0.0705
0.0656
0.061
0.0568
0.0527
0.049
0.0455
0.0414
0.0383
0.0356
0.033
0.0308
0.0287
0.0269
0.0253
0.0252
0.0241
0.0231
0.0224
0.0218
0.0214
0.0212
0.0211
0.0212
5.189
11.376
0.0698
0.0654
0.0612
0.0573
0.0536
0.0501
0.0469
0.0438
0.041
0.0383
0.0359
0.0336
0.0316
0.0297
0.0278
0.0264
0.0251
0.0239
0.0229
0.0221
0.0214
0.0208
0.0204
6
5.761
12
11.938
0.0714
0.0671
0.0631
0.0592
0.0555
0.0521
0.0488
0.0458
0.0429
0.0402
0.0377
0.0354
0.0332
0.0312
0.0294
0.0278
0.0263
0.025
0.0238
0.0226
0.0219
0.0212
0.0206
6.065
12.09
0.0718
0.676
0.0635
0.0597
0.056
0.0526
0.0492
0.0463
0.0434
0.0407
0.0382
0.0358
0.0336
0.0317
0.0298
0.0282
0.0266
0.0253
0.0241
0.023
0.0221
0.0213
0.0207
7.625
0.0457
0.0500
0.0539
0.0574
14.688
0.0706
0.067
0.0636
0.0604
0.0572
0.0542
0.0514
0.0467
0.0461
0.0436
0.0413
0.0391
0.037
0.035
0.0331
0.0314
0.0298
0.0282
0.0268
0.0255
0.0243
8
7.981
0.0416
0.0457
0.0497
0.0535
0.0569
16
15
0.0713
0.0678
0.0644
0.0612
0.0581
0.0551
0.0523
0.0496
0.047
0.0445
0.0422
0.0399
0.0378
0.0358
0.0339
0.0321
0.0305
0.029
0.0275
0.0262
0.0249
8.071
0.0405
0.0446
0.0487
0.0524
0.0559
0.0588
15.25
0.0684
0.065
0.0618
0.0587
0.0558
0.0529
0.0502
0.0476
0.0452
0.0428
0.0406
0.0385
0.0365
0.0346
0.0328
0.0311
0.0295
0.0281
0.0267
0.0254
OrificeDiameter
(in)
4.25
4.5
4.75
5
5.25
5.5
5.75
6
6.25
6.5
6.75
7
7.25
7.5
7.75
8
8.25
8.5
8.75
9
9.25
9.5
9.75
10
10.25
10.5
10.75
11
11.25
9.564
0.0238
0.0256
0.0279
0.0307
0.0337
0.037
0.0404
0.0438
0.0473
0.0505
0.0536
0.0562
10
10.02
0.0222
0.0236
0.0254
0.0277
0.0303
0.0332
0.0363
0.396
0.0437
0.0462
0.0493
0.0523
0.055
0.0572
10.136
0.0219
0.0231
0.0249
0.027
0.0295
0.0323
0.0354
0.0386
0.0418
0.0451
0.0483
0.0513
0.054
0.0564
11.376
0.02
0.0201
0.0207
0.0217
0.0231
0.0249
0.027
0.0294
0.032
0.0347
0.0376
0.0406
0.0435
0.0463
0.0491
0.0517
0.054
0.056
12
11.938
0.0198
0.0195
0.0196
0.0202
0.0212
0.0226
0.0243
0.0263
0.0285
0.0309
0.0335
0.0362
0.039
0.0418
0.0446
0.0473
0.0498
0.0522
0.0543
12.09
0.0198
0.0194
0.0194
0.0199
0.0208
0.0221
0.0237
0.0255
0.0277
0.03
0.0325
0.0351
0.0379
0.0407
0.0434
0.0461
0.0487
0.0511
0.0534
0.0533
14.688
0.0223
0.0206
0.0193
0.0184
0.0178
0.0176
0.0176
0.018
0.0186
0.0195
0.0206
0.022
0.0235
0.0252
0.0271
0.0291
0.0312
0.0334
0.0357
0.038
0.0402
0.0425
0.0447
0.0469
0.0489
0.0508
0.0526
0.0541
16
15
0.0228
0.021
0.0196
0.0185
0.0178
0.0174
0.0174
0.0176
0.016
0.0188
0.0198
0.021
0.0224
0.024
0.0257
0.0276
0.0296
0.0317
0.0338
0.0361
0.0383
0.0406
0.0427
0.0449
0.047
0.049
0.0509
0.0526
0.0541
15.25
0.0232
0.0213
0.0198
0.0187
0.0179
0.0174
0.0172
0.0173
0.0177
0.0183
0.0192
0.0202
0.0216
0.023
0.0246
0.0264
0.0288
0.0303
0.0324
0.0346
0.0368
0.039
0.0412
0.0434
0.0455
0.0475
0.0495
0.0513
0.0528
OrificeDiameter
(in)
2
2.125
2.25
2.375
2.5
2.625
2.75
2.875
3
3.125
3.25
3.375
3.5
3.625
3.75
3.875
4
4.25
4.5
4.75
5
5.25
5.5
5.75
6
6.25
6.5
6.75
7
7.25
7.5
7.75
8
18.814
0.0667
0.064
0.0614
0.0588
0.0563
0.054
0.0517
0.0494
0.0473
0.0452
0.0433
0.0414
0.0395
0.0378
0.0361
0.0345
0.0329
0.0301
0.0275
0.0252
0.0232
0.0214
0.0199
0.0186
0.0176
0.0167
0.0161
0.0157
0.0155
0.0155
0.0157
0.016
0.0166
20
19
0.0671
0.0644
0.0618
0.0592
0.0568
0.0544
0.0521
0.0499
0.0477
0.0457
0.0437
0.0418
0.0399
0.0382
0.0365
0.0349
0.0333
0.0304
0.0279
0.0256
0.0235
0.0217
0.0201
0.0188
0.0177
0.0168
0.0162
0.0157
0.0155
0.0154
0.0155
0.0158
0.0163
19.25
0.0676
0.0649
0.0622
0.0597
0.0573
0.0549
0.0526
0.0504
0.0483
0.0462
0.0442
0.0423
0.0405
0.0387
0.037
0.0354
0.0339
0.031
0.0283
0.026
0.0239
0.022
0.0204
0.0191
0.0179
0.017
0.0163
0.0157
0.0154
0.0153
0.0154
0.0156
0.016
22.626
0.0659
0.0636
0.0614
0.0592
0.0571
0.0551
0.0531
0.0511
0.0493
0.0474
0.0457
0.044
0.0423
0.0407
0.0376
0.0348
0.0322
0.0297
0.0275
0.0254
0.0236
0.0219
0.0204
0.0191
0.0179
0.0169
0.0161
0.0154
0.0148
0.0144
24
23
0.0665
0.0642
0.062
0.0599
0.0578
0.0557
0.0538
0.052
0.05
0.0481
0.0464
0.0447
0.043
0.0414
0.0384
0.0355
0.0328
0.0304
0.0281
0.026
0.0241
0.0224
0.0208
0.0195
0.0183
0.0172
0.0163
0.0156
0.015
0.0145
23.25
0.0669
0.0646
0.0624
0.0603
0.0582
0.0562
0.0542
0.0523
0.0504
0.0486
0.0468
0.0451
0.0435
0.0419
0.0388
0.036
0.0333
0.0308
0.0285
0.0264
0.0245
0.0228
0.0212
0.0198
0.0185
0.0174
0.0165
0.0157
0.0151
0.0146
28.628
0.0662
0.0644
0.0626
0.0608
0.059
0.0574
0.0557
0.0541
0.0525
0.0509
0.0479
0.045
0.0423
0.0397
0.0373
0.0349
0.0327
0.0306
0.0287
0.0269
0.0252
0.0236
0.0221
0.0208
0.0195
0.0184
30
29
0.0649
0.0631
0.0613
0.0596
0.0579
0.0562
0.0546
0.53
0.0515
0.0485
0.0456
0.0429
0.0403
0.0378
0.0355
0.0333
0.0312
0.0292
0.0274
0.0257
0.024
0.0226
0.0212
0.019
0.0187
29.25
0.0652
0.0634
0.0616
0.0599
0.0582
0.0566
0.055
0.0534
0.0518
0.0488
0.046
0.0433
0.0407
0.0382
0.0359
0.0337
0.0316
0.0296
0.0277
0.026
0.0244
0.0229
0.0215
0.0202
0.019
OrificeDiameter
(in)
8.25
8.5
8.75
9
9.25
9.5
9.75
10
10.25
10.5
10.75
11
11.25
11.5
11.75
12
12.5
13
13.5
14
14.5
15
15.5
16
16.5
17
17.5
18
18.5
19
19.5
20
20.5
21
21.5
18.814
0.0172
0.018
0.019
0.0201
0.0213
0.0226
0.024
0.0256
0.0271
0.0288
0.0305
0.0322
0.034
0.0358
0.0376
0.0394
0.0429
0.0463
0.0494
0.052
20
19
0.0169
0.0177
0.0186
0.0196
0.0208
0.022
0.0234
0.0249
0.0264
0.028
0.0297
0.0314
0.0332
0.0349
0.0367
0.0385
0.042
0.0454
0.0485
0.0512
19.25
0.0165
0.0172
0.018
0.019
0.0201
0.0213
0.0226
0.024
0.0255
0.027
0.0286
0.0303
0.032
0.0338
0.0355
0.0373
0.0408
0.0442
0.0474
0.0502
22.626
0.0142
0.0141
0.0141
0.0143
0.0146
0.015
0.0155
0.0161
0.0168
0.0176
0.0185
0.0194
0.0205
0.0216
0.0228
0.0241
0.0267
0.0296
0.0326
0.0356
0.0386
0.0415
0.0443
0.047
0.0494
24
23
0.0142
0.014
0.014
0.0141
0.0143
0.0146
0.015
0.0155
0.0162
0.0169
0.0176
0.0186
0.0196
0.0207
0.0218
0.023
0.0255
0.0282
0.0311
0.0341
0.037
0.04
0.0426
0.0455
0.048
0.0503
23.25
0.0142
0.014
0.0139
0.014
0.0141
0.0144
0.0147
0.0152
0.0158
0.0164
0.0172
0.0181
0.019
0.02
0.0211
0.0223
0.0248
0.0274
0.0302
0.0331
0.036
0.039
0.0418
0.0446
0.0471
0.0494
28.628
0.0174
0.0164
0.0156
0.0149
0.0143
0.0138
0.0133
0.013
0.0128
0.0126
0.0125
0.0125
0.0126
0.0128
0.013
0.0134
0.0142
0.0153
0.0166
0.0182
0.0199
0.0218
0.0239
0.026
0.0283
0.0307
0.0331
0.0355
0.0379
0.0402
0.0424
0.0446
0.0466
0.0485
30
29
0.0177
0.0168
0.0159
0.0152
0.0145
0.0139
0.0135
0.0131
0.0128
0.0126
0.0125
0.0124
0.0125
0.0126
0.0128
0.0131
0.0138
0.0148
0.016
0.0175
0.0192
0.0209
0.023
0.025
0.0273
0.0296
0.0319
0.0343
0.0366
0.039
0.0412
0.0434
0.0455
0.0475
0.0492
29.25
0.0179
0.017
0.0161
0.0153
0.0146
0.0141
0.0136
0.0132
0.0128
0.0126
0.0125
0.0124
0.0124
0.0125
0.0127
0.0129
0.0136
0.0145
0.0157
0.0171
0.0187
0.0204
0.0224
0.0244
0.0266
0.0288
0.0312
0.0335
0.0358
0.0382
0.0404
0.0426
0.0448
0.0467
0.0485
Table C-3 Y1 Expansion Factors—Flange Taps (Static Pressure Taken from Upstream Taps)
0.750.740.730.720.710.70.690.680.670.660.650.640.630.620.610.600.580.560.540.520.500.450.40.30.20.1K
1.0000
0.9986
0.9971
0.9957
0.9942
0.9928
0.9913
0.9899
0.9884
0.987
0.9855
0.9841
0.9826
0.9812
0.9798
0.9783
0.9769
0.9754
0.974
1.0000
0.9986
0.9971
0.9957
0.9943
0.9929
0.9914
0.99
0.9886
0.9871
0.9857
0.9843
0.9828
0.9814
0.98
0.9786
0.9771
0.9757
0.9743
1.0000
0.9986
0.9972
0.9958
0.9943
0.9929
0.9915
0.9901
0.9887
0.9873
0.9859
0.9844
0.983
0.9816
0.9802
0.9788
0.9774
0.976
0.9745
1.0000
0.9986
0.9972
0.9958
0.9944
0.993
0.9916
0.9902
0.9888
0.9874
0.986
0.9846
0.9832
0.9818
0.9804
0.979
0.9776
0.9762
0.9748
1.0000
0.9986
0.9972
0.9958
0.9945
0.9931
0.9917
0.9903
0.9889
0.9875
0.9861
0.9848
0.9834
0.982
0.9806
0.9792
0.9778
0.9764
0.9751
1.0000
0.9986
0.9973
0.9959
0.9945
0.9931
0.9918
0.9904
0.989
0.9877
0.9863
0.9849
0.9835
0.9822
0.9808
0.9794
0.9781
0.9767
0.9753
1.0000
0.9986
0.9973
0.9959
0.9946
0.9932
0.9918
0.9905
0.9891
0.9878
0.9864
0.9851
0.9837
0.9823
0.981
0.9796
0.9783
0.9769
0.9755
1.0000
0.9987
0.9973
0.996
0.9946
0.9933
0.9919
0.9906
0.9892
0.9879
0.9865
0.9852
0.9838
0.9825
0.9812
0.9798
0.9785
0.9771
0.9758
1.0000
0.9987
0.9973
0.996
0.9947
0.9933
0.992
0.9907
0.9893
0.988
0.9867
0.9853
0.984
0.9827
0.9813
0.98
0.9787
0.9773
0.976
1.0000
0.9987
0.9974
0.996
0.9947
0.9934
0.9921
0.9907
0.9894
0.9881
0.9868
0.9854
0.9841
0.9828
0.9815
0.9802
0.9788
0.9775
0.9762
1.0000
0.9987
0.9974
0.9961
0.9948
0.9934
0.9921
0.9908
0.9895
0.9882
0.9869
0.9856
0.9843
0.9829
0.9816
0.9803
0.979
0.9777
0.9764
1.0000
0.9987
0.9974
0.9961
0.9948
0.9935
0.9922
0.9909
0.9896
0.9883
0.987
0.9857
0.9844
0.9831
0.9818
0.9805
0.9792
0.9779
0.9766
1.0000
0.9987
0.9974
0.9961
0.9948
0.9935
0.9923
0.9910
0.9897
0.9884
0.9871
0.9858
0.9845
0.9832
0.9819
0.9806
0.9793
0.9780
0.9768
1.0000
0.9987
0.9974
0.9962
0.9949
0.9936
0.9923
0.9910
0.9897
0.9885
0.9872
0.9859
0.9846
0.9833
0.9821
0.9808
0.9795
0.9782
0.9769
1.0000
0.9987
0.9975
0.9962
0.9949
0.9936
0.9924
0.9911
0.9898
0.9885
0.9873
0.9860
0.9847
0.9835
0.9822
0.9809
0.9796
0.9784
0.9771
1.0000
0.9987
0.9975
0.9962
0.9949
0.9937
0.9924
0.9912
0.9899
0.9886
0.9874
0.9861
0.9848
0.9836
0.9823
0.9810
0.9798
0.9785
0.9772
1.0000
0.9988
0.9975
0.9963
0.9950
0.9938
0.9925
0.9913
0.9900
0.9888
0.9875
0.9863
0.9850
0.9838
0.9825
0.9813
0.9800
0.9788
0.9775
1.0000
0.9988
0.9975
0.9963
0.9951
0.9938
0.9926
0.9914
0.9901
0.9889
0.9877
0.9864
0.9852
0.9840
0.9827
0.9815
0.9803
0.9790
0.9778
1.0000
0.9988
0.9976
0.9963
0.9951
0.9939
0.9927
0.9915
0.9902
0.9890
0.9878
0.9866
0.9853
0.9841
0.9829
0.9817
0.9805
0.9792
0.9780
1.0000
0.9988
0.9976
0.9964
0.9952
0.9940
0.9927
0.9915
0.9903
0.9891
0.9879
0.9867
0.9855
0.9843
0.9831
0.9819
0.9806
0.9794
0.9782
1.0000
0.9988
0.9976
0.9964
0.9952
0.9940
0.9928
0.9916
0.9904
0.9892
0.9880
0.9868
0.9856
0.9844
0.9832
0.9820
0.9808
0.9796
0.9784
1.0000
0.9988
0.9976
0.9965
0.9953
0.9941
0.9929
0.9918
0.9906
0.9894
0.9882
0.9870
0.9859
0.9847
0.9835
0.9823
0.9811
0.9800
0.9788
1.0000
0.9988
0.9977
0.9965
0.9953
0.9942
0.9930
0.9919
0.9907
0.9895
0.9884
0.9872
0.9860
0.9849
0.9837
0.9826
0.9814
0.9802
0.9791
1.0000
0.9989
0.9977
0.9966
0.9954
0.9943
0.9931
0.9920
0.9908
0.9897
0.9885
0.9874
0.9862
0.9851
0.9840
0.9828
0.9817
0.9805
0.9794
1.0000
0.9989
0.9977
0.9966
0.9954
0.9943
0.9932
0.9920
0.9909
0.9897
0.9886
0.9875
0.9863
0.9852
0.9840
0.9829
0.9818
0.9806
0.9795
1.0000
0.9989
0.9977
0.9966
0.9954
0.9943
0.9932
0.9920
0.9909
0.9898
0.9886
0.9875
0.9863
0.9852
0.9841
0.9829
0.9818
0.9806
0.9795
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
0.750.740.730.720.710.70.690.680.670.660.650.640.630.620.610.600.580.560.540.520.500.450.40.30.20.1K
0.9725
0.9711
0.9696
0.9682
0.9667
0.9653
0.9639
0.9624
0.961
0.9595
0.9581
0.9566
0.9552
0.9537
0.9523
0.9508
0.9494
0.948
0.9465
0.9451
0.9436
0.9422
0.9728
0.9714
0.97
0.9685
0.9671
0.9657
0.9643
0.9628
0.9614
0.96
0.9585
0.9571
0.9557
0.9542
0.9528
0.9514
0.95
0.9485
0.9471
0.9457
0.9442
0.9428
0.9731
0.9717
0.9703
0.9689
0.9675
0.9661
0.9646
0.9632
0.9618
0.9604
0.959
0.9576
0.9562
0.9547
0.9533
0.9519
0.9505
0.9491
0.9477
0.9463
0.9448
0.9434
0.9734
0.972
0.9706
0.9692
0.9678
0.9664
0.965
0.9636
0.9622
0.9608
0.9594
0.958
0.9566
0.9552
0.9538
0.9524
0.951
0.9496
0.9482
0.9468
0.9454
0.944
0.9737
0.9723
0.9709
0.9659
0.9681
0.9668
0.9654
0.964
0.9626
0.9612
0.9598
0.9584
0.9571
0.9557
0.9543
0.9529
0.9515
0.9501
0.9487
0.9474
0.946
0.9446
0.9739
0.9726
0.9712
0.9698
0.9685
0.9671
0.9657
0.9643
0.963
0.9616
0.9602
0.9588
0.9575
0.9561
0.9547
0.9534
0.952
0.9506
0.9492
0.9479
0.9465
0.9451
0.9742
0.9728
0.9715
0.9701
0.9688
0.9674
0.966
0.9647
0.9633
0.962
0.9606
0.9592
0.9579
0.9565
0.9552
0.9538
0.9524
0.9511
0.9497
0.9484
0.947
0.9457
0.9744
0.9731
0.9717
0.9704
0.969
0.9677
0.9663
0.965
0.9637
0.9623
0.961
0.9596
0.9583
0.9569
0.9556
0.9542
0.9529
0.9515
0.9502
0.9488
0.9475
0.9462
0.9747
0.9733
0.972
0.9706
0.9693
0.968
0.9666
0.9653
0.964
0.9626
0.9613
0.96
0.9586
0.9573
0.956
0.9546
0.9533
0.952
0.9506
0.9493
0.948
0.9465
0.9749
0.9735
0.9722
0.9709
0.9696
0.9683
0.9669
0.9656
0.9643
0.963
0.9616
0.9603
0.959
0.9577
0.9564
0.955
0.9537
0.9524
0.9511
0.9497
0.9484
0.9471
0.9751
0.9738
0.9725
0.9711
0.9698
0.9685
0.9672
0.9659
0.9646
0.9633
0.962
0.9606
0.9593
0.958
0.9567
0.9554
0.9541
0.9528
0.9515
0.9502
0.9488
0.9475
0.9753
0.974
0.9727
0.9714
0.9701
0.9688
0.9675
0.9662
0.9649
0.9636
0.9623
0.961
0.9597
0.9584
0.9571
0.9558
0.9545
0.9532
0.9518
0.9505
0.9492
0.9479
0.9755
0.9742
0.9729
0.9716
0.9703
0.9690
0.9677
0.9664
0.9651
0.9638
0.9625
0.9613
0.96
0.9587
0.9574
0.9561
0.9548
0.9535
0.9522
0.9509
0.9496
0.9483
0.9756
0.9744
0.9731
0.9718
0.9705
0.9692
0.9680
0.9667
0.9654
0.9641
0.9628
0.9615
0.9603
0.959
0.9577
0.9564
0.9551
0.9538
0.9526
0.9513
0.95
0.9487
0.9758
0.9745
0.9733
0.9720
0.9707
0.9694
0.9682
0.9669
0.9656
0.9644
0.9631
0.9618
0.9605
0.9593
0.958
0.9567
0.9554
0.9542
0.9529
0.9516
0.9504
0.9491
0.9760
0.9747
0.9734
0.9722
0.9709
0.9697
0.9684
0.9671
0.9659
0.9646
0.9633
0.9621
0.9608
0.9595
0.9583
0.957
0.9558
0.9545
0.9532
0.952
0.9507
0.9494
0.9763
0.9750
0.9738
0.9725
0.9713
0.9700
0.9688
0.9675
0.9663
0.9650
0.9638
0.9626
0.9613
0.9601
0.9588
0.9576
0.9563
0.9551
0.9538
0.9526
0.9513
0.9501
0.9766
0.9753
0.9741
0.9729
0.9716
0.9704
0.9692
0.9679
0.9667
0.9654
0.9642
0.9630
0.9617
0.9605
0.9593
0.958
0.9568
0.9556
0.9543
0.9531
0.9519
0.9506
0.9768
0.9756
0.9744
0.9731
0.9719
0.9707
0.9695
0.9683
0.9670
0.9658
0.9646
0.9634
0.9622
0.9609
0.9597
0.9585
0.9573
0.956
0.9548
0.9536
0.9524
0.9512
0.9770
0.9758
0.9746
0.9734
0.9722
0.9710
0.9698
0.9686
0.9673
0.9661
0.9649
0.9637
0.9625
0.9613
0.9601
0.9589
0.9577
0.9565
0.9553
0.954
0.9528
0.9516
0.9772
0.9760
0.9748
0.9736
0.9724
0.9712
0.9700
0.9688
0.9676
0.9664
0.9652
0.9640
0.9628
0.9616
0.9604
0.9592
0.958
0.9568
0.9556
0.9544
0.9532
0.952
0.9776
0.9764
0.9753
0.9741
0.9729
0.9717
0.9705
0.9694
0.9682
0.9670
0.9658
0.9647
0.9635
0.9623
0.9611
0.9599
0.9588
0.9576
0.9561
0.9552
0.954
0.9529
0.9779
0.9767
0.9756
0.9744
0.9732
0.9721
0.9709
0.9698
0.9686
0.9674
0.9663
0.9651
0.9639
0.9628
0.9616
0.9604
0.9593
0.9581
0.957
0.9558
0.9546
0.9535
0.9782
0.9771
0.9759
0.9748
0.9736
0.9725
0.9713
0.9702
0.9691
0.9679
0.9668
0.9656
0.9645
0.9633
0.9622
0.961
0.9599
0.9587
0.9576
0.9564
0.9533
0.9542
0.9783
0.9772
0.9761
0.9749
0.9738
0.9726
0.9715
0.9704
0.9692
0.9681
0.9669
0.9658
0.9647
0.9635
0.9624
0.9612
0.9601
0.959
0.9578
0.9567
0.9555
0.9544
0.9784
0.9772
0.9761
0.9750
0.9738
0.9727
0.9715
0.9704
0.9693
0.9681
0.9670
0.9658
0.9647
0.9636
0.9624
0.9613
0.9602
0.959
0.9579
0.9567
0.9556
0.9545
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
4
Table C-4 Y2 Expansion Factors—Flange Taps (Static Pressure Taken from Downstream Taps)
0.750.740.730.720.710.70.690.680.670.660.650.640.630.620.610.600.580.560.540.520.500.450.400.30.20.1KPf2
1.0000
1.0004
1.0007
1.0011
1.0014
1.0018
1.0022
1.0026
1.0029
1.0033
1.0037
1.0041
1.0044
1.0048
1.0052
1.0056
1.006
1.0064
1.0068
1.0071
1.0000
1.0004
1.0008
1.0011
1.0015
1.0019
1.0023
1.0027
1.003
1.0034
1.0038
1.0042
1.0046
1.005
1.0054
1.0058
1.0062
1.0066
1.007
1.0074
1.0000
1.0004
1.0008
1.0012
1.0016
1.002
1.0024
1.0028
1.0032
1.0036
1.004
1.0044
1.0048
1.0052
1.0056
1.006
1.0065
1.0069
1.0073
1.0077
1.0000
1.0004
1.0008
1.0012
1.0016
1.002
1.0025
1.0029
1.0033
1.0037
1.0041
1.0046
1.005
1.0054
1.0058
1.0063
1.0067
1.0071
1.0076
1.008
1.0000
1.0004
1.0008
1.0013
1.0017
1.0021
1.0025
1.003
1.0034
1.0038
1.0043
1.0047
1.0052
1.0056
1.006
1.0065
1.0069
1.0074
1.0078
1.0083
1.0000
1.0004
1.0009
1.0013
1.0017
1.0022
1.0026
1.0031
1.0035
1.004
1.0044
1.0049
1.0053
1.0058
1.0062
1.0067
1.0071
1.0076
1.008
1.0085
1.0000
1.0004
1.0009
1.0013
1.0018
1.0022
1.0027
1.0032
1.0036
1.0041
1.0045
1.005
1.0055
1.0059
1.0064
1.0069
1.0073
1.0078
1.0083
1.0088
1.0000
1.0004
1.0009
1.0014
1.0018
1.0023
1.0028
1.0032
1.0037
1.0042
1.0047
1.0051
1.0056
1.0061
1.0066
1.007
1.0075
1.008
1.0085
1.009
1.0000
1.0005
1.0009
1.0014
1.0019
1.0024
1.0028
1.0033
1.0038
1.0043
1.0048
1.0053
1.0058
1.0062
1.0067
1.0072
1.0077
1.0082
1.0087
1.0092
1.0000
1.0005
1.001
1.0014
1.0019
1.0024
1.0029
1.0034
1.0039
1.0044
1.0049
1.0054
1.0059
1.0064
1.0069
1.0074
1.0079
1.0084
1.0089
1.0094
1.0000
1.0005
1.001
1.0015
1.002
1.0025
1.003
1.0035
1.004
1.0045
1.005
1.0055
1.006
1.0065
1.007
1.0076
1.0081
1.0086
1.0091
1.0096
1.0000
1.0005
1.001
1.0015
1.002
1.0025
1.003
1.0036
1.0041
1.0046
1.0051
1.0056
1.0061
1.0066
1.0072
1.0077
1.0082
1.0088
1.0093
1.0098
1.0000
1.0005
1.0010
1.0015
1.0021
1.0026
1.0031
1.0036
1.0042
1.0047
1.0052
1.0057
1.0062
1.0068
1.0073
1.0078
1.0084
1.0089
1.0094
1.0100
1.0000
1.0005
1.0010
1.0016
1.0021
1.0026
1.0032
1.0037
1.0042
1.0048
1.0053
1.0058
1.0064
1.0069
1.0074
1.0080
1.0085
1.0091
1.0096
1.0102
1.0000
1.0005
1.0011
1.0016
1.0021
1.0027
1.0032
1.0038
1.0043
1.0048
1.0054
1.0059
1.0065
1.0070
1.0076
1.0081
1.0087
1.0092
1.0098
1.0103
1.0000
1.0005
1.0011
1.0016
1.0022
1.0027
1.0033
1.0038
1.0044
1.0049
1.0055
1.0060
1.0066
1.0071
1.0077
1.0082
1.0088
1.0094
1.0099
1.0105
1.0000
1.0006
1.0011
1.0017
1.0022
1.0028
1.0034
1.0039
1.0045
1.0050
1.0056
1.0062
1.0068
1.0073
1.0079
1.0085
1.0090
1.0096
1.0102
1.0108
1.0000
1.0006
1.0011
1.0017
1.0023
1.0029
1.0034
1.0040
1.0046
1.0052
1.0058
1.0063
1.0069
1.0075
1.0081
1.0087
1.0093
1.0099
1.0104
1.0110
1.0000
1.0006
1.0012
1.0018
1.0023
1.0029
1.0035
1.0041
1.0047
1.0053
1.0059
1.0065
1.0071
1.0077
1.0083
1.0089
1.0095
1.0101
1.0107
1.0113
1.0000
1.0006
1.0012
1.0018
1.0024
1.0030
1.0036
1.0042
1.0048
1.0054
1.0060
1.0066
1.0072
1.0078
1.0084
1.0090
1.0096
1.0103
1.0109
1.0115
1.0000
1.0006
1.0012
1.0018
1.0024
1.0030
1.0036
1.0043
1.0049
1.0055
1.0061
1.0067
1.0073
1.0080
1.0086
1.0092
1.0098
1.0104
1.0111
1.0117
1.0000
1.0006
1.0012
1.0019
1.0025
1.0031
1.0038
1.0044
1.0050
1.0057
1.0063
1.0069
1.0076
1.0082
1.0089
1.0095
1.0101
1.0108
1.0114
1.0121
1.0000
1.0006
1.0013
1.0019
1.0026
1.0032
1.0039
1.0045
1.0052
1.0058
1.0065
1.0071
1.0078
1.0084
1.0091
1.0097
1.0104
1.0110
1.0117
1.0123
1.0000
1.0006
1.0013
1.0020
1.0026
1.0033
1.0040
1.0046
1.0053
1.0060
1.0066
1.0073
1.0080
1.0086
1.0093
1.0100
1.0106
1.0113
1.0120
1.0126
1.0000
1.0007
1.0013
1.0020
1.0027
1.0033
1.0040
1.0047
1.0053
1.0060
1.0067
1.0074
1.0080
1.0087
1.0094
1.0101
1.0107
1.0114
1.0121
1.0128
1.0000
1.0007
1.0013
1.0020
1.0027
1.0033
1.0040
1.0047
1.0054
1.0060
1.0067
1.0074
1.0080
1.0087
1.0094
1.0101
1.0108
1.0114
1.0121
1.0128
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
0.750.740.730.720.710.70.690.680.670.660.650.640.630.620.610.600.580.560.540.520.500.450.400.30.20.1KPf2
1.00751.00791.00831.00871.00911.00951.00991.01031.01071.01111.01161.012
1.01241.01321.01321.01361.0141.01441.01481.01531.0157
1.00781.00831.00871.00911.00951.00991.01031.01071.01121.01161.0121.01241.01281.01371.01371.01411.01461.0151.01541.01591.0163
1.00811.00861.0091.00941.00981.01031.01071.01111.01161.0121.01241.01291.01331.01421.01421.01461.01511.01551.0161.01641.0169
1.00841.00891.00931.00981.01021.01061.01111.01151.012
1.01241.01291.01331.01381.01471.01471.01511.01561.0161.01651.0171.0174
1.00871.00921.00961.01011.01051.0111.01141.01191.01241.01281.01331.01371.01421.01511.01511.01561.01611.01651.0171.01751.018
1.0091.00941.00991.01041.01081.01131.01181.01221.01271.01321.01371.01411.01461.01561.01561.0161.01651.0171.01751.0181.0185
1.00921.00971.01021.01061.01111.01161.01211.01261.01311.01361.0141.01451.0151.0161.0161.01651.0171.01751.0181.01851.019
1.00951.01
1.01041.01091.01141.01191.01241.01291.01341.01391.01441.01491.01541.01641.01641.01691.01741.01791.01841.01891.0194
1.00971.01021.01071.01121.01171.01221.01271.01321.01371.01421.01471.01521.01581.01681.01681.01731.01781.01831.01881.01941.0199
1.00991.01041.01091.01141.012
1.01251.0131.01351.0141.01451.0151.01561.01611.01711.01711.01771.01821.01871.01921.01981.0203
1.01011.01061.01121.01171.01221.01271.01331.01381.01431.01481.01541.01591.01641.01751.01751.0181.01861.01911.01961.02021.0207
1.01031.01091.01141.01191.01241.0131.01351.014
1.01461.01511.01571.01621.01671.01731.01781.01841.01891.01951.02
1.02061.0211
1.01051.01111.01161.01211.01271.01321.01381.01431.01481.01541.01601.01651.01701.01761.01811.01871.01921.01981.02041.02091.0215
1.01071.01121.01181.01241.01291.01341.01401.01461.01511.01571.01621.01681.01731.01791.01841.09101.01961.02011.02071.02131.0218
1.01091.01141.01201.01261.01311.01371.01421.01481.01541.01591.01651.01701.01761.01821.01871.01931.01991.02041.02101.02161.0222
1.01101.01161.01221.01271.01331.01391.01441.01501.01561.01621.01671.01731.01791.01841.01901.01961.02021.02071.02131.02191.0225
1.01141.01191.01251.01311.01371.01421.01481.01541.01601.01661.01721.01781.01841.01891.01951.02011.02071.02131.02191.02251.0231
1.01161.01221.01281.01341.01401.01461.01521.01581.01641.01701.01761.01821.01881.01941.02001.02161.02121.02181.02241.02301.0236
1.01191.01251.01311.01371.01431.01491.01551.01611.01671.01731.01801.01861.01921.01981.02041.02101.02161.02221.02291.02351.0241
1.01211.01271.01331.01401.01461.01521.01581.01641.01701.01771.01831.01891.01951.02021.02081.02141.02201.02261.02331.02391.0245
1.01231.01291.01361.01421.01481.01541.01611.01671.01731.01801.01861.01921.01981.02051.02111.02171.02241.02301.02361.02431.0249
1.01271.01341.01401.01461.01531.01591.01661.01721.01791.01851.01921.01981.02051.02111.02181.02241.02311.02371.02441.02501.0257
1.01301.01361.01431.01501.01561.01631.01701.01761.01831.01891.01961.02031.02091.02161.02231.02291.02361.0243102491.02561.0263
1.01331.01401.01471.01541.01601.01671.01741.01801.01871.01941.02011.02081.02141.02211.02281.02351.02421.02481.02551.02621.0269
1.01341.01411.01481.01551.01621.01681.01751.01821.01891.01961.02031.02101.02161.02231.02301.02371.02441.02511.02581.02641.0271
1.01351.01421.01481.01551.01621.01691.01761.01821.01891.01961.02031.02101.02171.02241.02301.02371.02441.02511.02581.02651.0272
2.02.12.22.32.42.52.62.72.82.93.03.13.23.33.43.53.63.73.83.94.0
Table C-5 Ym Expansion Factors—Flange Taps (Static Pressure Mean of Upstream and Downstream)
P D
0.750.740.730.720.710.70.690.680.670.660.650.640.630.620.610.600.580.560.540.520.500.450.400.30.20.1KPf2
1
0.9994
0.9989
0.9984
0.9978
0.9973
0.9968
0.9962
0.9957
0.9952
0.9946
0.9941
0.9936
0.9931
0.9926
0.992
0.9915
0.991
0.9905
1
0.9995
0.9989
0.9984
0.9979
0.9974
0.9969
0.9964
0.9958
0.9953
0.9948
0.9943
0.9938
0.9933
0.9928
0.9923
0.9918
0.9913
0.9908
1
0.9995
0.999
0.9985
0.998
0.9975
0.997
0.9964
0.996
0.9955
0.995
0.9945
0.994
0.9935
0.993
0.9925
0.992
0.9915
0.991
1
0.9995
0.999
0.9985
0.998
0.9975
0.997
0.9966
0.9961
0.9956
0.9951
0.9946
0.9942
0.9937
0.9932
0.9927
0.9922
0.9918
0.9913
1
0.9995
0.999
0.9986
0.9981
0.9976
0.9971
0.9966
0.9962
0.9957
0.9952
0.9948
0.9943
0.9939
0.9934
0.9929
0.9925
0.992
0.9916
1
0.9995
0.9991
0.9986
0.9981
0.9977
0.9972
0.9968
0.9963
0.9958
0.9954
0.9949
0.9945
0.994
0.9936
0.9931
0.9927
0.9922
0.9918
1
0.9995
0.9991
0.9986
0.9982
0.9977
0.9973
0.9968
0.9964
0.996
0.9955
0.9951
0.9946
0.9942
0.9938
0.9933
0.9929
0.9925
0.992
1
0.9996
0.9991
0.9987
0.9982
0.9978
0.9974
0.9969
0.9965
0.9961
0.9956
0.9952
0.9948
0.9944
0.9939
0.9935
0.9931
0.9927
0.9923
1
0.9996
0.9991
0.9987
0.9983
0.9979
0.9974
0.997
0.9966
0.9962
0.9958
0.9953
0.9949
0.9945
0.9941
0.9937
0.9933
0.9929
0.9925
1
0.9996
0.9992
0.9987
0.9983
0.9979
0.9975
0.9971
0.9967
0.9963
0.9959
0.9955
0.9951
0.9947
0.9943
0.9939
0.9935
0.9931
0.9927
1
0.9996
0.9992
0.9988
0.9984
0.998
0.9976
0.9972
0.9968
0.9964
0.996
0.9956
0.9952
0.9948
0.9944
0.994
0.9936
0.9932
0.9929
1
0.9996
0.9992
0.9988
0.9984
0.9980
0.9976
0.9972
0.9968
0.9965
0.9961
0.9957
0.9953
0.9949
0.9946
0.9942
0.9938
0.9934
0.993
1
0.9996
0.9992
0.9988
0.9984
0.9981
0.9977
0.9973
0.9969
0.9966
0.9962
0.9958
0.9954
0.9951
0.9947
0.9943
0.9940
0.9936
0.9932
1
0.9996
0.9992
0.9989
0.9985
0.9981
0.9977
0.9974
0.9970
0.9966
0.9963
0.9959
0.9955
0.9952
0.9948
0.9945
0.9941
0.9938
0.9934
1
0.9996
0.9993
0.9989
0.9985
0.9982
0.9978
0.9974
0.9971
0.9967
0.9964
0.9960
0.9956
0.9953
0.9950
0.9946
0.9942
0.9939
0.9936
1
0.9996
0.9993
0.9989
0.9986
0.9982
0.9978
0.9975
0.9971
0.9968
0.9964
0.9961
0.9958
0.9954
0.9951
0.9946
0.9944
0.9940
0.9937
1
0.9996
0.9993
0.9990
0.9986
0.9983
0.9979
0.9976
0.9973
0.9969
0.9966
0.9963
0.9959
0.9956
0.9952
0.9950
0.9946
0.9943
0.9940
1
0.9997
0.9993
0.9990
0.9987
0.9984
0.9980
0.9977
0.9974
0.9971
0.9968
0.9964
0.9961
0.9958
0.9955
0.9952
0.9949
0.9946
0.9942
1
0.9997
0.9994
0.9990
0.9987
0.9984
0.9981
0.9978
0.9975
0.9972
0.9969
0.9966
0.9963
0.9960
0.9957
0.9954
0.9951
0.9948
0.9945
1
0.9997
0.9994
0.9991
0.9988
0.9985
0.9982
0.9979
0.9976
0.9973
0.9970
0.9967
0.9964
0.9961
0.9958
0.9955
0.9952
0.9950
0.9947
1
0.9997
0.9994
0.9991
0.9988
0.9985
0.9982
0.9980
0.9977
0.9974
0.9971
0.9968
0.9965
0.9962
0.9960
0.9957
0.9954
0.9951
0.9949
1
0.9997
0.9994
0.9992
0.9989
0.9986
0.9984
0.9981
0.9978
0.9976
0.9973
0.9970
0.9968
0.9965
0.9963
0.9960
0.9957
0.9955
0.9952
1
0.9997
0.9995
0.9992
0.9990
0.9987
0.9984
0.9982
0.9980
0.9977
0.9974
0.9972
0.9970
0.9967
0.9965
0.9962
0.9960
0.9957
0.9955
1
0.9998
0.9995
0.9993
0.9990
0.9988
0.9986
0.9983
0.9981
0.9978
0.9976
0.9974
0.9972
0.9969
0.9967
0.9965
0.9962
0.9960
0.9958
1
0.9998
0.9995
0.9993
0.9990
0.9988
0.9986
0.9984
0.9981
0.9979
0.9977
0.9975
0.9972
0.9970
0.9968
0.9966
0.9964
0.9961
0.9959
1
0.9998
0.9995
0.9993
0.9991
0.9988
0.9986
0.9984
0.9982
0.9979
0.9977
0.9975
0.9972
0.9970
0.9968
0.9966
0.9964
0.9962
0.9959
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
0.750.740.730.720.710.70.690.680.670.660.650.640.630.620.610.600.580.560.540.520.500.450.400.30.20.1KPf2
0.99
0.9895
0.989
0.9885
0.9988
0.9874
0.987
0.9864
0.986
0.9854
0.985
0.9845
0.984
0.9835
0.983
0.9825
0.982
0.9815
0.981
0.9806
0.9801
0.9796
0.9903
0.9898
0.9893
0.9888
0.9883
0.9878
0.9873
0.9868
0.9864
0.9859
0.9854
0.9849
0.9844
0.984
0.9835
0.983
0.9826
0.9821
0.9816
0.9812
0.9807
0.9802
0.9906
0.9901
0.9896
0.9891
0.9887
0.9882
0.9877
0.9872
0.9868
0.9863
0.9858
0.9854
0.9849
0.9845
0.984
0.9835
0.9831
0.9826
0.9822
0.9817
0.9813
0.9808
0.9908
0.9904
0.9899
0.9895
0.989
0.9885
0.9881
0.9876
0.9872
0.9867
0.9863
0.9858
0.9854
0.9849
0.9845
0.984
0.9836
0.9831
0.9827
0.9823
0.9818
0.9814
0.9911
0.9907
0.9902
0.9898
0.9893
0.9889
0.9884
0.988
0.9875
0.9871
0.9867
0.9862
0.9858
0.9854
0.9849
0.9845
0.9841
0.9836
0.9832
0.9828
0.9824
0.9819
0.9914
0.9909
0.9905
0.9901
0.9896
0.9892
0.9888
0.9883
0.9879
0.9875
0.987
0.9866
0.9862
0.9858
0.9854
0.985
0.9845
0.9841
0.9837
0.9833
0.9829
0.9825
0.9916
0.9912
0.9908
0.9903
0.9899
0.9895
0.9891
0.9887
0.9882
0.9878
0.9874
0.987
0.9866
0.9862
0.9858
0.9854
0.985
0.9846
0.9842
0.9838
0.9834
0.983
0.9918
0.9914
0.991
0.9906
0.9902
0.9898
0.9894
0.989
0.9886
0.9882
0.9878
0.9874
0.987
0.9866
0.9862
0.9858
0.9854
0.985
0.9846
0.9842
0.9838
0.9835
0.9921
0.9917
0.9913
0.9909
0.9905
0.9901
0.9897
0.9893
0.9889
0.9885
0.9881
0.9877
0.9873
0.987
0.9866
0.9862
0.9858
0.9854
0.985
0.9847
0.9843
0.9839
0.9923
0.9919
0.9915
0.9911
0.9907
0.9903
0.99
0.9896
0.9892
0.9888
0.9884
0.9881
0.9877
0.9873
0.9869
0.9866
0.9862
0.9858
0.9855
0.9851
0.9847
0.9844
0.9925
0.9921
0.9917
0.9914
0.991
0.9906
0.9902
0.9898
0.9895
0.9891
0.9887
0.9884
0.988
0.9876
0.9873
0.9869
0.9866
0.9862
0.9858
0.9855
0.9851
0.9848
0.9927
0.9923
0.9919
0.9916
0.9912
0.9908
0.9905
0.9901
0.9898
0.9894
0.989
0.9887
0.9883
0.988
0.9876
0.9873
0.9869
0.9866
0.9862
0.9859
0.9855
0.9852
0.9929
0.9925
0.9922
0.9918
0.9914
0.9911
0.9907
0.9904
0.9900
0.9897
0.9893
0.9890
0.9886
0.9883
0.9879
0.9876
0.9872
0.9869
0.9866
0.9862
0.9859
0.9856
0.9930
0.9927
0.9923
0.9920
0.9916
0.9913
0.9910
0.9906
0.9903
0.9899
0.9896
0.9892
0.9889
0.9886
0.9882
0.9879
0.9876
0.9872
0.9869
0.9866
0.9863
0.9859
0.9932
0.9929
0.9925
0.9922
0.9918
0.9915
0.9912
0.9908
0.9905
0.9902
0.9898
0.9895
0.9892
0.9889
0.9885
0.9882
0.9879
0.9876
0.9872
0.9869
0.9866
0.9863
0.9934
0.9930
0.9927
0.9924
0.9920
0.9917
0.9914
0.9911
0.9907
0.9904
0.9901
0.9898
0.9894
0.9891
0.9888
0.9885
0.9882
0.9879
0.9876
0.9872
0.9869
0.9866
0.9937
0.9934
0.9930
0.9927
0.9924
0.9921
0.9918
0.9915
0.9912
0.9908
0.9905
0.9902
0.9899
0.9896
0.9893
0.9890
0.9887
0.9884
0.9881
0.9878
0.9875
0.9872
0.9939
0.9936
0.9933
0.9930
0.9927
0.9924
0.9921
0.9918
0.9915
0.9912
0.9910
0.9906
0.9904
0.9901
0.9898
0.9895
0.9892
0.9889
0.9886
0.9884
0.9881
0.9878
0.9942
0.9939
0.9936
0.9933
0.9930
0.9927
0.9924
0.9922
0.9919
0.9916
0.9913
0.9910
0.9908
0.9905
0.9902
0.9899
0.9896
0.9894
0.9891
0.9888
0.9886
0.9883
0.9944
0.9941
0.9938
0.9936
0.9933
0.9930
0.9927
0.9924
0.9922
0.9919
0.9916
0.9914
0.9911
0.9908
0.9906
0.9903
0.9900
0.9898
0.9895
0.9893
0.989
0.9887
0.9946
0.9943
0.9940
0.9938
0.9935
0.9932
0.9930
0.9927
0.9924
0.9922
0.9919
0.9917
0.9914
0.9912
0.9909
0.9906
0.9904
0.9901
0.9899
0.9896
0.9894
0.9891
0.9950
0.9947
0.9945
0.9942
0.9940
0.9937
0.9935
0.9932
0.9930
0.9928
0.9925
0.9923
0.9920
0.9918
0.9916
0.9913
0.9911
0.9909
0.9906
0.9904
0.9902
0.9899
0.9953
0.9950
0.9948
0.9946
0.9943
0.9941
0.9939
0.9936
0.9934
0.9932
0.9929
0.9927
0.9925
0.9923
0.9920
0.9918
0.9916
0.9914
0.9912
0.991
0.9907
0.9905
0.9956
0.9954
0.9951
0.9949
0.9947
0.9945
0.9943
0.9941
0.9938
0.9936
0.9934
0.9932
0.9930
0.9928
0.9926
0.9924
0.9922
0.992
0.9918
0.9916
0.9914
0.9912
0.9957
0.9955
0.9953
0.9951
0.9948
0.9946
0.9944
0.9942
0.9940
0.9938
0.9936
0.9934
0.9932
0.9930
0.9928
0.9926
0.9924
0.9922
0.992
0.9918
0.9916
0.9914
0.9957
0.9955
0.9953
0.9951
0.9949
0.9947
0.9945
0.9943
0.9940
0.9938
0.9936
0.9934
0.9932
0.9930
0.9928
0.9926
0.9924
0.9922
0.9921
0.9919
0.9917
0.9915
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
4
Table C-6 Fb Basic Orifice Factors—Pipe Taps
Basic temperature = 60 0FFlowing temperature = 60 0FBase pressure = 14.73 psiaSpecific gravity = 1.0
Pipe Sizes—Nominal and Published Inside Diameters, in
OrificeDiameter
(in)
0.250
0.375
0.500
0.625
0.750
0.875
1.000
1.125
1.250
1.375
1.500
1.625
1.750
1.875
2.000
2.125
2.250
2.375
1.689
12.850
29.359
53.703
87.212
132.23
192.74
275.45
391.93
2
1.939
12.813
29.097
52.816
84.919
126.86
181.02
251.10
342.98
465.99
2.067
12.800
29.005
52.401
84.083
124.99
177.08
243.27
327.98
437.99
583.96
2.300
12.782
28.882
52.019
82.922
122.45
171.92
233.30
309.43
404.52
524.68
679.10
3
2.626
12.765
28.771
51.591
81.795
120.06
167.23
224.56
293.79
377.36
478.68
602.45
755.34
946.99
2.900
12.753
28.710
51.353
81.142
118.67
164.58
219.76
285.48
363.41
455.82
565.79
697.43
856.37
1,050.4
1,290.7
3,068
12.748
28.682
51.243
80.835
118.00
163.31
217.52
281.66
357.12
445.74
549.94
672.95
819.05
993.98
1,205.6
1,465.1
4
3.152
12.745
28.669
51.196
80.703
117.70
162.76
216.55
280.02
354.45
441.48
543.31
662.81
803.77
971.19
1,171.8
1,415.0
3.430
12.737
28.634
51.064
80.332
116.86
161.17
213.79
275.42
347.03
429.83
525.40
635.76
763.51
911.98
1,085.5
1,289.7
1,532.0
1,822.8
OrificeDiameter
(in)
0.2500.3750.5000.6250.7500.8751.0001.1251.2501.3751.5001.6251.7501.8752.0002.1252.2502.3752.5002.6252.7502.8753.0003.1253.2503.3753.5003.6253.7503.8754.0004.2504.5004.7505.0005.2505.500
4
3.826
12.72726.59850.93679.974116.05159.57211.03270.90339.87418.79508.76611.11727.54860.171,011.71,185.31,385.41,617.21,887.62,206.0
4.026
12.72228.58450.88679.835115.73158,94209.91269.10337.05414.51502.38601.80714.16841.19985.041,148.41,334.41,547.31,792.32,075,92,407.0
4.897
50.73979.436114.81157.11206.62263.71328.73402.06484.20575.73677.38789.99914.571,052.31,204.71,373.41,560.51,768.31,999.82,258.52,548.62,875.23,244.83,665.6
5.189
50.70579.349114.61156.71205.91262.51326.85399.30480.23570.14669.63779.40900.281,033.21,179.41,340.21,517.21,712.31,927.62,165,92,430.22,724.43,052.83,420.93,835.74,305.7
6
5.761
50.65279.217114.32156.13204.84260.71324.02395.08474.20561.73658.08763.77879.381,005.61,143.21,293.11,456.41,634.31,828.32,039.92,271.22,524.32,801.83,106.93,443.03,914.44,226.34,684.95,197.7
6.065
50.62879.162114.20155.89204.41259.98322.86393.33471.69558.24653.33757.39870.93994.521,128.81,274.61,432.71,604.31,790.31,992.22,211.62,450.12,709.92,993.33,303.03,642.34,014.84,425.14,878.4
7.625
155.10203.00257.62319.10387.62463.39546.61637.51736.34843.34958.781,083.01,216.31,359.21,512.01,675.41,849.92,036.02,234.72,446.52,672.52,913.73,171.13,446.03,739.94,054.24,751.45,554.76,485.37,571.48,850.3
8
7.981
154.99202.80257.28318.56386.81462.19544.92635.19733.23839.29953.581,076.41,208.01,348.81,499.21,659.71,830.62,012.72,206.42,412.42,631.62,864.73,112.73,376.63,657.63,957.04,616.65,369.06,231.17,224.38,376.39,723.8
8.071
154.96202.75257.20318.44386.62461.92544.53634.65732.52838.35952.381,074.91,206.11,346.51,496.31,656.11,826.32,007.32,199.92,404.72,622.32,853.73,099.63,361.03,639.23,935.24,586.65,327.96,175.27,148.78,274.09,585.1
OrificeDiameter
(in)
1.0001.1251.2501.3751.5001.6251.7501.8752.0002.1252.2502.3752.5002.6252.7502.8753.0003.1253.2503.3753.5003.6253.7503.8754.0004.2504.5004.7505.0005.2505.5005.7506.0006.2506.500
9.564
202.16256.22316.90384.29458.52539.72628.03723.61826.63937.281,055.71,182.21,316.91,460.01,611.81,772.51,942.52,122.12,311.62,511.52,722.32,944.33,178.13,424.33,683.54,243.84,865.15,554.96,322.27,177.78,134.19,207.010,41511,78313,340
10
10.020
256.01316.56383.79457.79538.69626.61721.70824.12934.021,051.61,177.01,310.51,452.11,602.31,761.01,928.82,10572,292.22,488.62,695.32,912.73,141.23,381.33,633.54,176.84,776.25,437.96,169.26,978.97,877.28,876.39,991.211,24012,644
10.136
255.96316.49383.68457.63538.45626.29721.27823.54933.271,050.61,175.81,309.01,450.31,600.11,758.41,925.62,102.02,287.82,483.42,689.12,905.53,132.73,371.53,622.14,161.64,756.15,411.56,134.96,934.47,820.08,803.19,897.811,12112,492
11.376
315.84382.66456.16536.38623.44717.43818.48926.721,042.31,165.31,295.91,434.31,580.71,735.11,897.82,069.02,248.92,437.72,635.62,843.03,060.23,287.43,524.94,032.84,587.15,191.55,850.66,569.47,354.18,211.49,149.510,17811,307
12
11.938
315.57382.30455.64535.66622.45716.10816.73924.441,039.41,161.61,291.41,428.71,573.91,726.91,888.12,057.52,235.42,421.82,617.22,821.63,035.33,258.73,492.03,989.54,530.85,119.05,757.86,451.57,205.18,024.28,915.49,886.110,945
12.090
315.51382.22455.52535.48622.20715.78816.30923.881,038.71,160.71,290.21,427.41,572.21,724.91,885.72,054.72,232.12,418.02,612.62,816.33,029.33,251.73,483.93,979.04,517.25,119.05,757,86,451.57,205.18,024.28,915.49,886.110,945
14.688
453.92533.27619.18711.73810.99917.011,029.91,149.71.276.51,410.51,551.71,700.11,856.12,019.52,190.72,369.62,556.52,751.42,954.53,165.93,385.83,851.64,353.44,892.95,471.96,092.56,757.07,468.08,228.59,041.69,911.2
18
15.000
453.78533.07618.92711.39810.53916.431,092.61,148.81.275.41,409.11,549.91,698.11,853.62,016.62,187.22,365.52,551.72,745.92,948.13,158.63,377.53,840.94,339.84,875.85,450.56,065.96,724.17,427.68,179.28,981.79,838.7
15.250
532.93618.73711.13810.19915.991,028.61,148.11,274.51,408.01,548.61,696.51,851.72,014.32,184.52,362.42,548.12,741.72,943.33,153.13,371.23,832.84,329.64,862.95,434.36,045.96,699.47,397.48,142.38,937.09,764.7
OrificeDiameter
(in)
6.750
7.000
7.250
7.500
7.750
8.000
8.250
8.500
8.750
9.000
9.250
9.500
9.750
10.000
10.250
10.500
OrificeDiameter
(in)
2.000
2.125
2.250
2.375
2.500
2.625
2.750
2.875
3.000
3.125
3.250
3.375
3.500
9.564
18.814
806.71
911.51
1,022.9
1,141.0
1,265.7
1,397.2
1,535.5
1,680.7
1,832.7
1,991.8
2,158.0
2,331.3
2,511.9
10
10.020
14,230
16,035
20
19.000
806.57
911.35
1,022.7
1,140.7
1,265.4
1,396.8
1,535.0
1,680.1
1,832.1
1,991.0
2,157.0
2,330.2
2,510.6
10.136
14,038
15,790
19.250
806.40
911.13
1,022.4
1,140.4
1,265.0
1,396.3
1,534.4
1,679.3
1,831.2
1,990.0
2,155.8
2,328.7
2,508.8
11.376
12,550
13,923
15,442
17,131
19,017
22.626
1,136.8
1,260.6
1,390.9
1,527.9
1,671.5
1,821.9
1,978.9
2,142.8
2,313.5
2,491.2
12
11.938
12,103
13,923
14,762
16,294
17,986
19,861
21,947
24
23.000
1,136.5
1,260.2
1,390.5
1,527.3
1,670.9
1,821.1
1,978.0
2,141.7
2,312.3
2,489.7
12.090
12,103
13,371
14,604
16,101
17,750
19,572
21,593
23.250
1,136.3
1,259.9
1,390.2
1,527.0
1,670.4
1,820.6
1,977.4
2,141.0
2,311.5
2,488.8
14.688
10,841
11,837
12,902
14,044
15,268
16,583
17,996
19,517
21,156
22,926
24,841
26,917
29,172
31,629
34,315
28.628
1,663.8
1,812.7
1,968.1
2,130.2
2,298.8
2,474.1
18
15.000
10,754
11,732
12,777
13,894
15,090
16,371
17,746
19,221
20,807
22,515
24,356
26,346
28,501
30,839
33,383
36,160
30
29.000
1,812.3
1,967.7
2,129.6
2,298.2
2,473.3
15.250
10,689
11,654
12,684
13,783
14,959
16,216
17,561
19,003
20,551
22,214
24,003
25,932
28,014
30,268
32,713
35,372
29.250
1,812.0
1,967.4
2,129.3
2,297.7
2,472.9
OrificeDiameter
(in)
3.625
3.750
3,875
4.000
4.250
4.500
4.750
5.000
5.250
5.500
5.750
6.000
6.250
6.500
6.750
7.000
7.250
7.500
7.750
8.000
8.250
8.500
8.750
9.000
9.250
9.500
9,750
10.000
10.250
10.500
10.750
18.814
2,699.7
2,895.0
3,097.7
3,308.0
3,751.6
4,226.8
4,734.1
5,274.6
5,849.0
6,458.6
7,104.4
7,787.9
8,510.4
9,273.4
10,079
10,928
11,823
12,767
13,762
14,810
15,914
17,078
18,305
19,598
20,963
22,402
23,923
25,529
27,227
29,023
30,925
20
19.000
2,698.2
2,893.2
3,095.7
3,305.7
3,748.7
4,223.0
4,729.4
5,268.7
5,841.9
6,449.9
7,094.0
7,775.4
8,495.4
9,255.6
10,058
10,903
11,794
12,733
13,722
14,763
15,860
17,015
18,232
19,515
20,866
22,292
23,796
25,384
27,061
28,834
30,709
19.250
2,696.2
2,890.9
3,093.0
3,302.7
3,744.8
4,218.1
4,723.3
5,261.1
5,832.6
6,438.7
7,080.4
7,759.1
8,476.0
9,232.5
10,030
10,871
11,756
12,689
13,670
14,703
15,791
16,935
18,129
19,408
20,743
22,151
23,634
25,198
26,849
28,592
30,434
22.626
2,675.8
2,867.4
3,066.0
3,271.8
3,705.0
4,167.6
4,660.0
5,183.0
5,737.1
6,322.9
6,941.3
7,592.8
8,278.3
8,998.8
9,755.0
10,548
11,379
12,249
13,160
14,113
15,109
16,150
17,237
18,373
19,560
20,800
22,094
23,447
24,859
26,335
27,878
24
23.000
2,674.0
2,865.4
3,063.8
3,269.2
3,701.7
4,163.4
4,654.8
5,176.4
5,729.1
6,313.2
6,929.7
7,579.0
8,262.0
8,979.5
9,732.4
10,522
11,348
12,214
13,119
14,065
15,054
16,087
17,166
18,292
19,468
20,695
21,976
23,312
24,708
26,164
27,685
23.250
2,673.0
2,864.1
3,062.3
3,267.6
3,699.6
4,160.7
4,651.4
5,172.3
5,723.9
6,307.0
6,922.2
7,570.1
8,251.5
8,967.1
9,717.9
10,505
11,329
12,191
13,093
14,035
15,020
16,048
17,121
18,241
19,409
20,628
21,900
23,227
24,612
26,056
27,563
28.628
2,656.0
2,844.6
3,040.0
3,242.2
3,666.9
4,119.3
4,599.6
5,108.2
5,645.4
6,211.8
6,807.7
7,433.6
8,089.9
8,777.2
9,496.0
10,247
11,030
11,847
12,697
13,582
14,501
15,457
16,450
17,480
18,548
19,656
20,805
21,995
23,228
24,505
25,827
30
29.000
2,655.2
2,843.7
3,038.9
3,240.9
3.665.3
4,117.3
4,597.1
5,105.0
5,641.4
6,207.2
6,802.1
7,426.9
8,082.0
8,768.0
9,485.2
10,234
11,016
11,830
12,678
13,560
14,477
15,429
16,418
17,444
18,508
19,611
20,754
21,938
23,165
24,434
25,749
29.250
2.654.6
2,843.0
3,038.2
3,240.1
3,664.3
4,116.0
4,595.4
5,103.0
5,639.1
6,204.2
6,798.5
7,422.6
8,076.9
8,761.9
9,478.1
10,226
11,006
11,819
12,665
13,546
14,461
15,411
16,397
17,421
18,482
19,582
20,721
21,901
23,124
24,358
25,698
OrificeDiameter
(in)
11.000
11.250
11.500
11.750
12.000
12.500
13.000
13.500
14.000
14.500
15.000
15.500
16.000
16.500
17.000
17.500
18.000
18.500
19.000
19.500
20.000
18.814
32,940
35,078
37,348
39,761
42,330
47,991
54,463
20
19.000
32,694
34,798
37,030
39,400
41,920
47,461
53,778
19.250
32,381
34,443
36,626
38,941
41,399
46,790
52,914
22.626
29,490
31,175
32,938
34,783
36,714
40,855
45,406
50,420
55,959
62,099
68,929
76,562
24
23.000
29,273
30,932
32,666
34,478
36,373
40,429
44,877
49,763
55,147
61,094
67,687
75,025
83,231
23.250
29,136
30,779
32,494
34,285
36,158
40,161
44,544
49,352
54,638
60,468
66,915
74,074
82,055
28.628
27,196
28,613
30,080
31,598
33,169
36,478
40,024
43,823
47,898
52,271
56,967
62,017
67,453
73,314
79,641
86,485
93,900
101,950
110,720
120,300
130,780
30
29.000
27,109
28,156
29,972
31,479
33,038
36,318
39,829
43,589
47,615
51,932
56,562
61,533
66,878
72,630
78,831
85,525
92,765
100,610
109,130
118,420
128,560
29.250
27,052
28,453
29,903
31,402
32,953
36,215
39,704
43,437
47,433
51,714
56,301
61,223
66,509
72,193
78,313
84,913
92,042
99,758
108,130
117,230
127,150
Table C-7 "b" Values for Reynolds Number Factor Fr Determination—Pipe Taps
Pipe Sizes—Nominal and Published Inside Diameters, in
OrificeDiameter
(in)
0.250
0.375
0.500
0.625
0.750
0.875
1.000
1.125
1.250
1.375
1.500
1.625
1.750
1.875
2.000
2.125
2.250
2.375
1.689
0.1105
0.0890
0.0758
0.0693
0.0675
0.0684
0.0702
0.0708
2
1.939
0.1091
0.0878
0.0734
0.0647
0.0608
0.0602
0.0614
0.0635
0.0650
2.067
0.1087
0.0877
0.0729
0.0635
0.0586
0.0570
0.0576
0.0595
0.0616
0.0629
2.300
0.1081
0.0879
0.0728
0.0624
0.0559
0.0528
0.0522
0.0532
0.0552
0.0574
0.0590
3
2.626
0.1078
0.0888
0.0737
0.0624
0.0546
0.0497
0.0473
0.0469
0.0478
0.0496
0.0518
0.0539
0.0553
2.900
0.1078
0.0898
0.0750
0.0634
0.0548
0.0488
0.0452
0.0435
0.0434
0.0443
0.0460
0.0482
0.0504
0.0521
0.0532
3.068
0.1080
0.0905
0.0758
0.0642
0.0552
0.0488
0.0445
0.0422
0.0414
0.0418
0.0431
0.0450
0.0471
0.0492
0.0508
0.0519
4
3.152
0.1081
0.0908
0.0763
0.0646
0.0555
0.0489
0.0443
0.0417
0.0406
0.0408
0.0418
0.0435
0.0456
0.0477
0.0495
0.0509
3.438
0.1084
0.0918
0.0778
0.0662
0.0568
0.0496
0.0443
0.0407
0.0387
0.0379
0.0382
0.0392
0.0408
0.0427
0.0448
0.0467
0.0483
0.0494
OrificeDiameter
(in)
0.250
0.375
0.500
0.625
0.750
0.875
1.000
1.125
1.250
1.375
1.500
1.625
1.75
1.875
2
2.125
2.25
2.375
2.5
2.625
2.75
2.875
3
3.125
3.25
3.375
3.5
3.625
3.75
3.875
4
4.25
4.5
4.75
5
5.25
5.5
4
3.826
0.1087
0.0932
0.0799
0.0685
0.0590
0.0513
0.0453
0.0408
0.0376
0.0358
0.0350
0.0351
0.0358
0.0371
0.0388
0.0407
0.0427
0.0445
0.046
0.0472
4.026
0.1091
0.0939
0.0810
0.0697
0.0602
0.0524
0.0461
0.0412
0.0377
0.0353
0.0340
0.0336
0.034
0.0349
0.0363
0.036
0.0398
0.0417
0.0435
0.045
0.0462
4.897
0.0850
0.0747
0.0655
0.0575
0.0506
0.0448
0.0401
0.0363
0.0334
0.0313
0.03
0.0293
0.0292
0.0297
0.0305
0.0316
0.033
0.0345
0.0362
0.0379
0.0395
0.041
0.0422
0.0432
€
5.189
0.0862
0.0762
0.0672
0.0592
0.0523
0.0464
0.0413
0.0373
0.0340
0.0315
0.0298
0.0287
0.0281
0.0281
0.0285
0.0293
0.0304
0.0317
0.0331
0.0347
0.0364
0.038
0.0394
0.0408
0.0419
0.0428
>
5.761
0.0883
0.0789
0.0703
0.0625
0.0556
0.0495
0.0442
0.0397
0.0360
0.0329
0.0304
0.0285
0.0273
0.0265
0.0261
0.0262
0.0267
0.0274
0.0264
0.0295
0.0308
0.0323
0.0338
0.0353
0.0367
0.0381
0.0393
0.0404
0.0413
6.065
0.0895
0.0802
0.0718
0.0642
0.0573
0.0512
0.0458
0.0412
0.0372
0.0339
0.0311
0.029
0.0273
0.0262
0.0258
0.0253
0.0254
0.0258
0.0265
0.0274
0.0285
0.0297
0.0311
0.0325
0.0339
0.0354
0.0367
0.038
0.0391
7.625
0.0716
0.0652
0.0592
0.0538
0.0489
0.0445
0.0404
0.0369
0.0338
0.0311
0.0288
0.0268
0.0252
0.0239
0.023
0.0224
0.022
0.0219
0.022
0.0223
0.0228
0.0235
0.0243
0.0252
0.0262
0.0273
0.0296
0.0321
0.0344
0.0364
0.0381
8
7.981
0.0730
0.0668
0.0609
0.0555
0.0506
0.0462
0.0421
0.0384
0.0352
0.0323
0.0298
0.0277
0.0259
0.0244
0.0232
0.0224
0.0218
0.0214
0.0213
0.0214
0.0216
0.0221
0.0227
0.0234
0.0243
0.0252
0.0273
0.0296
0.032
0.0342
0.0361
0.0377
8.071
0.0733
0.0662
0.0613
0.0560
0.0510
0.0466
0.0425
0.0388
0.0355
0.0327
0.0301
0.028
0.0261
0.0246
0.0233
0.0224
0.0218
0.0213
0.0211
0.0212
0.0214
0.0218
0.0224
0.023
0.0238
0.0246
0.0268
0.029
0.0314
0.0336
0.0356
0.0372
OrificeDiameter
(in)
1
1.125
1.25
1.375
1.5
1.625
1.75
1.875
2
2.125
2.25
2.375
2.5
2.625
2.75
2.875
3
3.125
3.25
3.375
3.5
3.625
3.75
3.875
4
4.25
4.5
4.75
5
5.25
5.5
5.75
6
6.25
6.5
9.564
0.0728
0.0674
0.0624
0.0576
0.0532
0.049
0.0452
0.0417
0.0385
0.0355
0.0329
0.0305
0.0283
0.0265
0.0248
0.0234
0.0222
0.0212
0.0204
0.0199
0.0195
0.0193
0.0192
0.0193
0.0195
0.0203
0.0215
0.023
0.0248
0.0267
0.0287
0.0307
0.0326
0.0343
0.0358
10
10.02
0.069
0.0641
0.0594
0.055
0.0509
0.0471
0.0436
0.0403
0.0372
0.0345
0.032
0.0298
0.0277
0.026
0.0244
0.023
0.0218
0.0209
0.0201
0.0195
0.0191
0.0188
0.0187
0.0187
0.0192
0.02
0.0212
0.0228
0.0244
0.0263
0.0282
0.0302
0.032
0.0336
10.136
0.0694
0.0646
0.0599
0.0555
0.0514
0.0476
0.044
0.0407
0.0377
0.0349
0.0324
0.0301
0.0281
0.0262
0.0246
0.0232
0.022
0.0221
0.0202
0.0196
0.0191
0.0188
0.0186
0.0186
0.0189
0.0197
0.0208
0.0223
0.0239
0.0257
0.0276
0.0295
0.0316
0.0331
11.376
0.0687
0.0643
0.0601
0.0561
0.0523
0.0488
0.0454
0.0423
0.0394
0.0367
0.0342
0.0319
0.0298
0.0279
0.0262
0.0244
0.0232
0.022
0.021
0.02
0.0193
0.0187
0.0182
0.0176
0.0175
0.0178
0.0185
0.0194
0.0207
0.0221
0.0231
0.0253
0.027
12
11.938
0.0704
0.0661
0.062
0.058
0.0543
0.0508
0.0475
0.0443
0.0414
0.0387
0.0361
0.0337
0.0316
0.0295
0.0277
0.026
0.0245
0.0232
0.022
0.0209
0.02
0.0192
0.0185
0.0196
0.0172
0.0171
0.0174
0.0181
0.019
0.0202
0.0215
0.023
0.0246
12.09
0.0708
0.0666
0.0625
0.0585
0.0548
0.0513
0.048
0.0449
0.0419
0.0392
0.0366
0.0342
0.032
0.03
0.0281
0.0264
0.0249
0.0235
0.0222
0.0212
0.0202
0.0194
0.0187
0.0177
0.0171
0.017
0.0173
0.0178
0.0186
0.0197
0.021
0.0224
0.0239
14.688
0.0697
0.0662
0.0628
0.0594
0.0563
0.0532
0.0503
0.0475
0.0449
0.0424
0.04
0.0378
0.0356
0.0336
0.0317
0.03
0.0263
0.0368
0.0254
0.024
0.0228
0.0207
0.019
0.0176
0.0166
0.016
0.0156
0.0155
0.0157
0.0161
0.0167
16
15
0.0705
0.067
0.0636
0.0603
0.0572
0.0541
0.0512
0.0484
0.0458
0.0433
0.0409
0.0387
0.0365
0.0345
0.0326
0.0308
0.0291
0.0275
0.0261
0.0247
0.0235
0.0213
0.0194
0.018
0.0168
0.0161
0.0156
0.0154
0.0154
0.0157
0.0162
15.25
0.0676
0.0642
0.061
0.0578
0.0548
0.0519
0.0492
0.0466
0.044
0.0417
0.0394
0.0372
0.0352
0.0332
0.0314
0.0297
0.0281
0.0267
0.0253
0.024
0.0217
0.0198
0.0182
0.017
0.0162
0.0156
0.0153
0.0153
0.0154
0.0159
OrificeDiameter
(in)
6.75
7
7.25
7.5
7.75
8
8.25
8.5
8.75
9
9.25
9.5
9.75
10
10.25
10.5
OrificeDiameter -
(in)
2
2.125
2.25
2.375
2.5
2.625
2.75
2.875
3
3.125
3.25
3.375
3.5
3.625
3.75
3.875
9.564
18.814
0.0663
0.0635
0.0309
0.0583
0.0558
0.0534
0.051
0.0488
0.0466
0.0445
0.0425
0.0406
0.0387
0.0369
0.0352
0.0336
10
10.02
0.0351
0.0363
20
19
0.0667
0.0639
0.0613
0.0588
0.0562
0.0539
0.0515
0.0492
0.047
0.0449
0.0429
0.041
0.0391
0.0373
0.0356
0.034
10.136
0.0346
0.0359
19.25
0.0672
0.0644
0.0618
0.0593
0.0568
0.0544
0.052
0.0498
0.0476
0.0455
0.0435
0.0416
0.0397
0.0379
0.0362
0.0346
11.376
0.0288
0.0304
0.032
0.0334
0.0347
22.626
0.0658
0.0635
0.0613
0.0591
0.057
0.0549
0.0529
0.0509
0.049
0.0471
0.0454
0.0436
0.0419
12
11.938
0.0262
0.0279
0.0295
0.031
0.0325
0.0338
0.0349
24
23
0.0665
0.0642
0.062
0.0598
0.0577
0.0556
0.0536
0.0516
0.0497
0.0479
0.0461
0.0444
0.0427
12.09
0.0256
0.0272
0.0288
0.0304
0.0318
0.0332
0.0344
23.25
0.0669
0.0646
0.0624
0.0603
0.0582
0.0561
0.0541
0.0521
0.0502
0.0484
0.0466
0.0449
0.0432
14.688
0.0174
0.0184
0.0195
0.0206
0.0219
0.0232
0.0246
0.0259
0.0273
0.0286
0.0299
0.0311
0.0322
0.0332
0.0341
28.628
0.0667
0.0649
0.063
0.0613
0.0595
0.0578
0.0561
0.0545
0.0528
16
15
0.0169
0.0177
0.0187
0.0198
0.0209
0.0222
0.0235
0.0248
0.0262
0.0276
0.0288
0.03
0.0312
0.0323
0.0333
0.0341
30
29
0.0654
0.0636
0.0616
0.0601
0.0584
0.0567
0.055
0.0534
15.25
0.0164
0.0172
0.0181
0.0191
0.0202
0.0214
0.0227
0.024
0.0253
0.0267
0.028
0.0292
0.0304
0.0315
0.0326
0.0335
29.25
0.0657
0.0639
0.0622
0.0604
0.0587
0.0571
0.0554
0.0538
OrificeDiameter
(in)
4
4.25
4.5
4.75
5
5.25
5.5
5.750
6.000
6.250
6.500
6.750
7.000
7.250
7.500
7.750
8.000
8.250
8.500
8.750
9.000
9.250
9.500
9.750
10.000
10.250
10.500
10.750
11.000
11.250
11.500
11.750
12.000
12.500
13.000
18.814
0.032
0.0291
0.0265
0.0242
0.0221
0.0203
0.0188
0.0175
0.0164
0.0155
0.0148
0.0143
0.0141
0.0141
0.0140
0.0142
0.0146
0.0151
0.0156
0.0163
0.0171
0.0180
0.0189
0.0198
0.0209
0.0219
0.0230
0.0241
0.0252
0.0263
0.0273
0.0284
0.0293
0.0312
0.0327
20
19
0.0324
0.0295
0.0269
0.0246
0.0225
0.0206
0.019
0.0177
0.0165
0.0156
0.0149
0.0144
0.0141
0.0140
0.0140
0.0141
0.0144
0.0148
0.0154
0.0160
0.0168
0.0176
0.0185
0.0194
0.0204
0.0214
0.0225
0.0236
0.0247
0.0261
0.0268
0.0278
0.0288
0.0307
0.0323
19.25
0.033
0.0301
0.0274
0.025
0.0229
0.021
0.0194
0.0180
0.0168
0.0158
0.0150
0.0145
0.0141
0.0139
0.0139
0.0140
0.0142
0.0146
0.0151
0.0157
0.0163
0.0171
0.0180
0.0189
0.0198
0.0208
0.0219
0.0229
0.0240
0.0251
0.0262
0.0272
0.0282
0.0301
0.0318
22.626
0.0403
0.0372
0.0343
0.0316
0.0292
0.0269
0.248
0.0230
0.0212
0.0197
0.0184
0.0172
0.0162
0.0153
0.0146
0.0140
0.0136
0.0133
0.0132
0.0131
0.0131
0.0133
0.0136
0.0139
0.0143
0.0148
0.0154
0.0160
0.0168
0.0175
0.0183
0.0191
0.0200
0.0218
0.0236
24
23
0.0411
0.038
0.0351
0.0324
0.0299
0.0276
0.0255
0.0236
0.0218
0.0202
0.0189
0.0176
0.0166
0.0156
0.0148
0.0142
0.0138
0.0134
0.0132
0.0130
0.0130
0.0130
0.0133
0.0136
0.0140
0.0144
0.0150
0.0155
0.0162
0.0169
0.0176
0.0184
0.0192
0.0210
0.0228
23.25
0.0416
0.0385
0.0356
0.0328
0.0303
0.028
0.0259
0.0240
0.0222
0.0206
0.0192
0.0179
0.0168
0.0158
0.0150
0.0144
0.0138
0.0132
0.0130
0.0130
0.0130
0.0133
0.0132
0.0134
0.0135
0.0142
0.0147
0.0152
0.0158
0.0165
0.0172
0.0180
0.0190
0.0204
0.0222
28.628
0.0513
0.0482
0.0453
0.0425
0.0399
0.0374
0.035
0.0328
0.0307
0.0287
0.0269
0.0252
0.0236
0.0221
0.0207
0.0195
0.0183
0.0173
0.0164
0.0155
0.0148
0.0142
0.0136
0.0132
0.0128
0.0125
0.0123
0.0122
0.0121
0.0122
0.0122
0.0124
0.0126
0.0132
0.0140
30
29
0.0518
0.0488
0.0459
0.0431
0.0405
0.038
0.0356
0.0334
0.0313
0.0293
0.0274
0.0257
0.0241
0.0226
0.0212
0.0199
0.0187
0.0177
0.0167
0.0158
0.0151
0.0144
0.0138
0.0133
0.0129
0.0126
0.0124
0.0122
0.0121
0.0121
0.0121
0.0123
0.0124
0.0130
0.0137
29.25
0.0522
0.0492
0.0463
0.0435
0.0409
0.0384
0.036
0.0338
0.0317
0.0297
0.0278
0.026
0.0244
0.0229
0.0215
0.0202
0.019
0.0179
0.0169
0.0161
0.0153
0.0146
0.014
0.0134
0.013
0.0127
0.0124
0.0122
0.0121
0.0121
0.0122
0.0122
0.0123
0.0128
0.0135
OrificeDiameter
(in)
13.500
14.000
14.500
15.000
15.500
16.000
16.500
17.000
17.500
18.000
18.500
19.000
19.500
20.000
18.814
20
19 19.25 22.626
0.0254
0.0272
0.0289
0.0304
0.0310
24
23
0.0246
0.0264
0.0280
0.0296
0.0311
0.0323
23.25
0.0240
0.0258
0.0275
0.0291
0.0306
0.0318
28.628
0.0150
0.0161
0.0173
0.0166
0.0200
0.0215
0.0230
0.0244
0.0259
0.0272
0.0286
0.0298
0.0309
0.0318
30
29
0.0146
0.0156
0.0168
0.0181
0.0194
0.0209
0.0223
0.0238
0.0252
0.0266
0.0279
0.0292
0.0303
0.0313
29.25
0.0143
0.0153
0.0165
0.0177
0.0190
0.0204
0.0219
0.0233
0.0248
0.0261
0.0275
0.0288
0.0299
0.0310
Table C-8 Y1 Expansion Factors-—Pipe Taps (Static Pressure Taken from Upstream Taps)
H D
0.700.690.680.670.660.650.640.630.620.610.600.580.560.540.520.500.450.400.300.200.10Kpfi
0.9968
0.9935
0.9903
0.9871
0.9839
0.9806
0.9774
0.9742
0.971
0.9677
0.9645
0.9613
0.9581
0.9548
0.9516
0.9484
0.9452
0.9419
0.9387
0.9355
0.9323
0.9969
0.9938
0.9907
0.9876
0.9845
0.9814
0.9784
0.9753
0.9722
0.9691
0.966
0.9629
0.9598
0.9567
0.9536
0.9505
0.9474
0.9443
0.9412
0.9381
0.9351
0.997
0.9941
0.9911
0.9881
0.9851
0.9822
0.9792
0.9762
0.9733
0.9703
0.9673
0.9643
0.9614
0.9584
0.9554
0.9525
0.9495
0.9465
0.9435
0.9406
0.9376
0.9971
0.9943
0.9914
0.9886
0.9857
0.9828
0.98
0.9771
0.9742
0.9714
0.9685
0.9757
0.9628
0.9599
0.9571
0.9542
0.9514
0.9485
0.9456
0.9428
0.9399
0.9972
0.9945
0.9917
0.989
0.9862
0.9834
0.9807
0.9779
0.9752
0.9724
0.9696
0.9669
0.9641
0.9614
0.9586
0.9558
0.9531
0.9503
0.9476
0.9448
0.942
0.9973
0.9947
0.992
0.9893
0.9867
0.984
0.9813
0.9787
0.976
0.9733
0.9707
0.968
0.9653
0.9627
0.96
0.9573
0.9547
0.952
0.9493
0.9467
0.944
0.9974
0.9948
0.9923
0.9897
0.9871
0.9845
0.9819
0.9794
0.9768
0.9742
0.9716
0.969
0.9664
0.9639
0.9613
0.9587
0.9561
0.9535
0.951
0.9484
0.9458
0.9975
0.995
0.9925
0.99
0.9875
0.985
0.9825
0.98
0.9775
0.975
0.9725
0.97
0.9675
0.965
0.9625
0.96
0.9575
0.955
0.9525
0.95
0.9475
0.9976
0.9951
0.9927
0.9903
0.9879
0.9854
0.983
0.9806
0.9782
0.9757
0.9733
0.9709
0.9685
0.966
0.9636
0.9612
0.9587
0.9563
0.9539
0.9515
0.949
0.9976
0.9953
0.9929
0.9906
0.9882
0.9859
0.9835
0.9811
0.9788
0.9764
0.9741
0.9717
0.9694
0.967
0.9646
0.9623
0.9599
0.9576
0.9552
0.9529
0.9505
0.9977
0.9954
0.9931
0.9908
0.9885
0.9862
0.984
0.9817
0.9794
0.9771
0.9748
0.9725
0.9702
0.9679
0.9656
0.9633
0.961
0.9587
0.9565
0.9542
0.9519
0.9978
0.9957
0.9935
0.9913
0.9891
0.987
0.9848
0.9826
0.9805
0.9783
0.9761
0.9739
0.9718
0.9696
0.9674
0.9652
0.9631
0.9609
0.9587
0.9566
0.9544
0.9979
0.9959
0.9938
0.9917
0.9897
0.9876
0.9856
0.9835
0.9814
0.9794
0.9773
0.9752
0.9732
0.9711
0.969
0.967
0.9649
0.9628
0.9608
0.9587
0.9566
0.998
0.9961
0.9941
0.9921
0.9902
0.9882
0.9862
0.9843
0.9823
0.9803
0.9784
0.9764
0.9744
0.9725
0.9705
0.9685
0.9666
0.9646
0.9626
0.9607
0.9587
0.9981
0.9962
0.9944
0.9925
0.9906
0.9887
0.9869
0.985
0.9831
0.9812
0.9794
0.9775
0.9756
0.9737
0.9719
0.97
0.9681
0.9662
0.9643
0.9625
0.9606
0.9982
0.9964
0.9946
0.9928
0.991
0.9892
0.9874
0.9857
0.9839
0.9821
0.9803
0.9785
0.9767
0.9749
0.9731
0.9713
0.9695
0.9677
0.9659
0.9641
0.9623
0.9984
0.9968
0.9952
0.9936
0.9919
0.9903
0.9887
0.9871
0.9855
0.9839
0.9823
0.9807
0.9791
0.9775
0.9758
0.9742
0.9726
0.971
0.9694
0.9678
0.9662
0.9985
0.9971
0.9956
0.9942
0.9927
0.9913
0.9898
0.9883
0.9869
0.9854
0.984
0.9825
0.9811
0.9796
0.9782
0.9767
0.9752
0.9738
0.9723
0.9709
0.9694
0.9988
0.9976
0.9964
0.9951
0.9939
0.9927
0.9915
0.9903
0.9891
0.9878
0.9866
0.9854
0.9842
0.983
0.9818
0.9805
0.9793
0.9781
0.9769
0.9757
0.9745
0.9989
0.9979
0.9968
0.9958
0.9947
0.9937
0.9926
0.9916
0.9905
0.9895
0.9884
0.9874
0.9863
0.9853
0.9842
0.9832
0.9821
0.9811
0.98
0.979
0.9778
0.999
0.9981
0.9971
0.9962
0.9952
0.9943
0.9933
0.9923
0.9914
0.9904
0.9895
0.9885
0.9876
0.9866
0.9857
0.9847
0.9837
0.9828
0.9818
0.9809
0.9799
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2
2.1
0.700.690.680.670.660.650.640.630.620.56 0.58 0.60 0.610.540.520.500.450.400.300.200.10Kpfi
0.929
0.9258
0.9226
0.9194
0.9161
0.9129
0.9097
0.9064
0.9032
0.9000
0.8968
0.8935
0.8903
0.8871
0.8839
0.8806
0.8774
0.8742
0.8710
0.932
0.9289
0.9258
0.9227
0.9196
0.9165
0.9134
0.9103
0.9072
0.9041
0.9010
0.8979
0.8948
0.8918
0.8887
0.8856
0.8825
0.8794
0.9763
0.9346
0.9317
0.9287
0.9257
0.9227
0.9198
0.9168
0.9138
0.9108
0.9079
0.9049
0.9019
0.8990
0.8960
0.8930
0.8900
0.8871
0.8841
0.8811
0.9371
0.9342
0.9313
0.9285
0.9256
0.9277
0.9199
0.9170
0.9142
0.9113
0.9084
0.9056
0.9027
0.8999
0.8970
0.8941
0.8913
0.8884
0.8826
0.9393
0.9365
0.9338
0.931
0.9282
0.9255
0.9227
0.9200
0.9172
0.9144
0.9117
0.9089
0.9062
0.9034
0.9006
0.8979
0.8951
0.8924
0.8896
0.9413
0.9387
0.936
0.9333
0.9307
0.9280
0.9253
0.9227
0.9200
0.9173
0.9147
0.9120
0.9093
0.9067
0.9040
0.9013
0.8987
0.8960
0.8933
0.9432
0.9406
0.9381
0.9355
0.9329
0.9303
0.9277
0.9252
0.9226
0.9200
0.9174
0.9148
0.9122
0.9097
0.9071
0.9045
0.9019
0.8993
0.8968
0.945
0.9425
0.94
0.9375
0.9350
0.9325
0.9300
0.9275
0.9250
0.9225
0.9200
0.9175
0.9150
0.9125
0.9100
0.9075
0.9050
0.9025
0.9000
0.9466
0.9442
0.9418
0.9393
0.9369
0.9345
0.9321
0.9296
0.9272
0.9248
0.9223
0.9199
0.9175
0.9151
0.9126
0.9102
0.9078
0.9054
0.9029
0.9546 0.9522 0.9496 0.9481
0.95 0.95 0.9473 0.9458
0.9505 0.9479 0.945 0.9434
0.9484 0.9457 0.9427 0.9411
0.9463 0.9435 0.9404 0.9387
0.9443 0.9414 0.9381 0.9364
0.9422 0.9392 0.9358 0.9340
0.9401 0.9370 0.9335 0.9316
0.9381 0.9348 0.9312 0.9293
0.9360 0.9327 0.9290 0.9269
0.9339 0.9305 0.9267 0.9246
0.9319 0.9283 0.9244 0.9222
0.9298 0.9261 0.9221 0.9199
0.9277 0.9240 0.9198 0.9175
0.9257 0.9218 0.9175 0.9151
0.9236 0.9196 0.9152 0.9128
0.9216 0.9175 0.9129 0.9104
0.9195 0.9153 0.9106 0.9081
0.9174 0.9131 0.9083 0.9057
0.9567
0.9548
0.9528
0.9508
0.9489
0.9469
0.9449
0.9430
0.9410
0.9390
0.9371
0.9351
0.9331
0.9312
0.9292
0.9272
0.9253
0.9233
0.9213
0.9587
0.9568
0.955
0.9531
0.9512
0.9493
0.9475
0.9456
0.9437
0.9418
0.9400
0.9381
0.9362
0.9343
0.9324
0.9306
0.9287
0.9268
0.9249
0.9605
0.9587
0.957
0.9552
0.9534
0.9516
0.9498
0.9480
0.9462
0.9444
0.9426
0.9408
0.9390
0.9372
0.9354
0.9336
0.9318
0.9301
0.9283
0.9646
0.963
0.9613
0.9597
0.9581
0.9565
0.9549
0.9533
0.9517
0.9501
0.9485
0.9469
0.9452
0.9436
0.9420
0.9404
0.9388
0.9372
0.9356
0.968
0.9665
0.965
0.9636
0.9621
0.9607
0.9592
0.9578
0.9563
0.9549
0.9534
0.9519
0.9505
0.9490
0.9476
0.9461
0.9447
0.9432
0.9417
0.9732
0.972
0.9708
0.9696
0.9684
0.9672
0.9659
0.9647
0.9635
0.9623
0.9611
0.9599
0.9587
0.9574
0.9562
0.9550
0.9538
0.9526
0.9514
0.9768
0.9758
0.9747
0.9737
0.9726
0.9716
0.9705
0.9695
0.9684
0.9674
0.9663
0.9653
0.9642
0.9632
0.9621
0.9611
0.9600
0.9590
0.9579
0.979
0.978
0.977
0.9761
0.9751
0.9742
0.9732
0.9723
0.9713
0.9704
0.9694
0.9684
0.9675
0.9665
0.9656
0.9646
0.9637
0.9627
0.9617
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
4.0
Table C-9 Y2 Expansion Factors—Pipe Taps (Static Pressure Taken from Downstream Taps)
H D
0.700.690.680.670.660.650.640.630.620.610.600.580.560.540.520.500.450.400.300.200.10K
0.9986
0.9972
0.9958
0.9944
0.993
0.9916
0.9902
0.9889
0.9875
0.9862
0.9848
0.9835
0.9822
0.9809
0.9796
0.9783
0.977
0.9757
0.9744
0.9987
0.9974
0.9962
0.9949
0.9936
0.9924
0.9912
0.9899
0.9887
0.9875
0.9863
0.9851
0.9839
0.9827
0.9815
0.9804
0.9792
0.978
0.9769
0.9988
0.9977
0.9965
0.9954
0.9942
0.9931
0.992
0.9909
0.9898
0.9887
0.9876
0.9865
0.9854
0.9844
0.9833
0.9822
0.9812
0.9801
0.9791
0.9989
0.9979
0.9969
0.9958
0.9948
0.9938
0.9928
0.9918
0.9908
0.9898
0.9888
0.9878
0.9868
0.9859
0.9849
0.984
0.983
0.9821
0.9811
0.999
0.9981
0.9972
0.9962
0.9953
0.9944
0.9935
0.9926
0.9917
0.9908
0.9899
0.989
0.9881
0.9872
0.9864
0.9855
0.9847
0.9838
0.983
0.9991
0.9983
0.9974
0.9966
0.9958
0.9949
0.9941
0.9933
0.9925
0.9917
0.9909
0.9901
0.9893
0.9885
0.9877
0.987
0.9862
0.9854
0.9847
0.9992
0.9985
0.9977
0.9969
0.9962
0.9954
0.9947
0.994
0.9932
0.9925
0.9918
0.9911
0.9904
0.9897
0.989
0.9883
0.9876
0.987
0.9863
0.9993
0.9986
0.9979
0.9972
0.9966
0.9959
0.9953
0.9946
0.994
0.9933
0.9927
0.992
0.9914
0.9908
0.9902
0.9896
0.9889
0.9883
0.9877
0.9994
0.9988
0.9982
0.9976
0.997
0.9964
0.9958
0.9952
0.9946
0.994
0.9935
0.9929
0.9924
0.9918
0.9912
0.9907
0.9902
0.9896
0.9891
0.9994
0.9989
0.9984
0.9978
0.9973
0.9968
0.9962
0.9957
0.9952
0.9947
0.9942
0.9937
0.9932
0.9928
0.9923
0.9918
0.9913
0.9908
0.9904
0.9995
0.999
0.9986
0.9981
0.9976
0.9972
0.9967
0.9962
0.9958
0.9954
0.9949
0.9945
0.9941
0.9936
0.9932
0.9928
0.9924
0.992
0.9916
0.9996
0.9993
0.9989
0.9986
0.9982
0.9979
0.9975
0.9972
0.9969
0.9965
0.9962
0.9959
0.9956
0.9953
0.995
0.9947
0.9944
0.9941
0.9938
0.9997
0.9995
0.9992
0.999
0.9988
0.9985
0.9983
0.998
0.9978
0.9976
0.9974
0.9972
0.997
0.9968
0.9966
0.9964
0.962
0.996
0.9958
0.9998
0.9997
0.9995
0.9994
0.9992
0.9991
0.999
0.9988
0.9987
0.9986
0.9984
0.9983
0.9982
0.9981
0.998
0.9979
0.9978
0.9977
0.9976
0.9999
0.9999
0.9998
0.9997
0.9997
0.9996
0.9996
0.9995
0.9995
0.9994
0.9994
0.9994
0.9994
0.9993
0.9993
0.9993
0.9992
0.9992
0.9992
1.0000
1.0000
1.0000
1.0001
1.0001
1.0001
1.0002
1.0002
1.0002
1.0003
1.0003
1.0004
1.0004
1.0004
1.0005
1.0006
1.0006
1.0007
1.0008
1.0002
1.0004
1.0006
1.0008
1.001
1.0012
1.0014
1.0016
1.0018
1.0021
1.0023
1.0025
1.0027
1.003
1.0032
1.0034
1.0036
1.0039
1.0041
1.0003
1.0007
1.001
1.0014
1.0018
1.0021
1.0025
1.0028
1.0032
1.0036
1.0039
1.0043
1.0047
1.0051
1.0054
1.0058
1.0062
1.0066
1.007
1.0006
1.0012
1.0018
1.0024
1.003
1.0036
1.0041
1.0047
1.0053
1.0059
1.0065
1.0071
1.0077
1.0083
1.0089
1.0096
1.0102
1.0108
1.0114
1.0008
1.0015
1.0023
1.003
1.0038
1.0045
1.0053
1.006
1.0068
1.0075
1.0083
1.0091
1.0098
1.0106
1.0113
1.0121
1.0128
1.0136
1.0144
1.0008
1.0017
1.0025
1.0034
1.0042
1.0051
1.0059
1.0068
1.0076
1.0085
1.0093
1.0102
1.011
1.0119
1.0127
1.0136
1.0144
1.0153
1.0161
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
0.700.690.680.670.660.650.640.630.620.610.600.580.560.540.520.500.450.400.300.200.10K
0.9732
0.9719
0.9706
0.9694
0.9681
0.9669
0.9657
0.9644
0.9632
0.9620
0.9608
0.9596
0.9584
0.9572
0.9561
0.9549
0.9537
0.9526
0.9514
0.9503
0.9491
0.9757
0.9746
0.9734
0.9723
0.9712
0.9701
0.9690
0.9679
0.9668
0.9657
0.9646
0.9636
0.9625
0.9614
0.9603
0.9593
0.9582
0.9572
0.9562
0.9551
0.9541
0.9781
0.977
0.976
0.975
0.974
0.973
0.9720
0.9710
0.9700
0.9690
0.9681
0.9671
0.9661
0.9652
0.9642
0.9633
0.9623
0.9614
0.9605
0.9596
0.9586
0.9802
0.9793
0.9784
0.9774
0.9765
0.9756
0.9747
0.9738
0.9730
0.9721
0.9712
0.9703
0.9695
0.9686
0.9678
0.9669
0.9661
0.9652
0.9644
0.9636
0.9628
0.9822
0.9813
0.9805
0.9797
0.9789
0.978
0.9772
0.9764
0.9757
0.9749
0.9741
0.9733
0.9725
0.9718
0.9710
0.9702
0.9695
0.9688
0.9680
0.9673
0.9665
0.984
0.9832
0.9825
0.9817
0.981
0.9803
0.9796
0.9788
0.9781
0.9774
0.9767
0.9760
0.9754
0.9747
0.9740
0.9733
0.9727
0.9720
0.9713
0.9707
0.9700
0.9856
0.9849
0.9843
0.9836
0.983
0.9823
0.9817
0.9811
0.9804
0.9798
0.9792
0.9786
0.9780
0.9774
0.9768
0.9762
0.9756
0.9750
0.9744
0.9738
0.9732
0.9872
0.9866
0.986
0.9854
0.9848
0.9842
0.9837
0.9831
0.9826
0.982
0.9815
0.9809
0.9804
0.9798
0.9793
0.9788
0.9783
0.9778
0.9772
0.9767
0.9762
0.9886
0.9881
0.9876
0.987
0.9865
0.986
0.9855
0.9850
0.9846
0.9841
0.9836
0.9831
0.9826
0.9822
0.9817
0.9812
0.9808
0.9803
0.9799
0.9794
0.9790
0.9899
0.9895
0.989
0.9886
0.9881
0.9877
0.9873
0.9868
0.9864
0.9860
0.9856
0.9852
0.9848
0.9843
0.9839
0..9835
0.9832
0.9828
0.9824
0.9820
0.9816
0.9912
0.9908
0.9904
0.99
0.9896
0.9893
0.9889
0.9885
0.9882
0.9878
0.9874
0.9871
0.9867
0.9864
0.9860
0.9857
0.9854
0.9850
0.9847
0.9844
0.9840
0.9935
0.9932
0.9929
0.9927
0.9924
0.9921
0.9919
0.9916
0.9914
0.9911
0.9908
0.9906
0.9904
0.9901
0.9899
0.9896
0.9894
0.9892
0.9890
0.9888
0.9885
0.9956
0.9954
0.9952
0.995
0.9949
0.9947
0.9945
0.9944
0.9942
0.9941
0.9939
0.9938
0.9936
0.9935
0.9933
0.9932
0.9931
0.9929
0.9928
0.9927
0.9926
0.9975
0.9974
0.9973
0.9972
0.9971
0.9971
0.9970
0.9969
0.9968
0.9968
0.9967
0.9966
0.9966
0.9965
0.9965
0.9964
0.9964
0.9963
0.9963
0.9963
0.9962
0.9992
0.9992
0.9992
0.9992
0.9992
0.9992
0.9992
0.9992
0.9992
0.9992
0.9993
0.9993
0.9993
0.9993
0.9994
0.9994
0.9994
0.9994
0.9995
0.9995
0.9996
1.0008
1.0009
1.001
1.001
1.0011
1.0012
1.0013
1.0014
1.0014
1.0015
1.0016
1.0017
1.0018
1.0019
1.0020
1.0021
1.0022
1.0024
1.0025
1.0026
1.0027
1.0044
1.0046
1.0048
1.0051
1.0053
1.0056
1.0058
1.0061
1.0063
1.0066
1.0068
1.0071
1.0074
1.0076
1.0079
1.0082
1.0084
1.0087
1.0090
1.0093
1.0095
1.0073
1.0077
1.0081
1.0085
1.0089
1.0093
1.0097
1.0101
1.0104
1.0108
1.0112
1.0116
1.0120
1.0124
1.0128
1.0133
1.0137
1.0141
1.0145
1.0149
1.0153
1.012
1.0126
1.0132
1.0138
1.0144
1.015
1.0156
1.0162
1.0169
1.0175
1.0181
1.0187
1.0193
1.0199
1.0206
1.0212
1.0218
1.0224
1.0230
1.0237
1.0243
1.0151
1.0159
1.0167
1.0174
1.0182
1.0189
1.0197
1.0205
1.0212
1.0220
1.0228
1.0235
1.0243
1.0250
1.0258
1.0266
1.0273
1.0281
1.0289
1.0296
1.0304
1.017
1.0178
1.0187
1.0195
1.0204
1.0212
1.0221
1.0229
1.0238
1.0246
1.0255
1.0246
1.0272
1.0280
1.0289
1.0298
1.0306
1.0314
1.0323
1.0332
1.0340
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
4.0
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