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Schmidt SS 20.600 - Calculation of Volume Flow

Schmidt SS 20.600
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Instructions for Use SCHMIDT
®
Flow Sensor SS 20.600 Page 14
Calculation of volume flow
A quasi-parabolic speed profile is formed over the pipe’s cross-section
under laminar conditions. Whereas the flow velocity at the pipe walls re-
mains almost zero, in the middle of the pipe it reaches the optimum meas-
uring point, its maximum w
N
.
This measured variable can be converted into an average flow velocity
N
w
that is constant over the pipe cross-section with the aid of a correction
factor the so-called profile factor.
The profile factor PF depends on the inner pipe diameter
8
D and is shown
in Table 2.
PF
Pipe Ø
Volume flow [m
3
/h]
Inner
Outer
Min. @
@ Sensor measuring range
[mm]
[mm]
0.2 m/s
10 m/s
20 m/s
60 m/s
90 m/s
140 m/s
220 m/s
0.796
26.0
31.2
0.3
15.2
30.4
91.3
136.9
213.0
334.7
0.748
39.3
44.5
0.7
32.7
65.3
196.0
294.0
457.3
718.6
0.772
51.2
57.0
1.1
57.2
114.4
343.3
515.0
801.1
1258
0.786
70.3
76.1
2.2
109.8
219.7
659.0
988.5
1537
2416
0.797
82.5
88.9
3.1
153.4
306.8
920.3
1380
2147
3374
0.804
100.8
108.0
4.6
231.0
462.0
1385
2078
3233
5081
0.812
125.0
133.0
7.2
358.7
717.5
2152
3228
5022
7892
0.817
150.0
159.0
10.4
519.8
1039
3118
4677
7276
11434
0.829
206.5
219.1
20.0
999.5
1999
5997
8995
13993
21989
0.835
260.4
273.0
32.0
1600
3201
9605
14408
22412
35219
0.840
309.7
323.9
45.6
2278
4556
13668
20502
31892
50116
0.841
339.6
345.6
54.8
2742
5484
16454
24681
38393
60331
0.845
388.8
406.4
72.2
3611
7223
21669
32504
50562
79455
0.847
437.0
457.0
91.5
4573
9146
27440
41160
64027
100614
0.850
486.0
508.0
113.5
5676
11353
34059
51088
79471
124883
0.852
534.0
559.0
137.4
6869
13738
41216
61824
96170
151125
0.854
585.0
610.0
165.3
8263
16526
49580
74371
115688
181796
0.860
800.0
311.2
15562
31124
93373
140059
217870
342368
0.864
1000
488.6
24429
48858
146574
219861
342006
537438
0.872
1500
1109
55474
110948
332845
499268
776639
1220433
0.877
2000
1983
99186
198372
595118
892677
1388609
2182100
Table 2 Profile factors and volume flows
8
Both inner air friction and sensor locking are responsible.

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