Milk with a viscosity of μ-3 cP and density p=1060 kg/m³ flows through the pipeline from point 1 to point 2. An X NB (Nominal Bore) pipe is used at an elevation of 100 m at section A. Section B is at an elevation of 107 m, and the pipe size is increased by 50NB. The pipes used are stainless steel with a schedule of 40S. When a discharge of 500 GPM is passed through this pipe, the pressure at section A is observed to be 30 kPa. (a) As a general guideline, a suitable velocity for transferring milk is roughly within 1 to 4 m/s. Determine X NB and Y NB in a way that stays within the suitable range. (b) What is the minimum length for section A for flow to reach fully developed (entrance length)? (c) Calculate the pressure at point 2. Hint: The ID (internal diameter) of the pipe must be considered in the calculation (see the attached file). 2 Note: Y NB > X NB Y NB X NB 107.00 m 100.00 m B datum Nominal Dim 뾰 25 FEET 50 7.25" (184mm) REQUIRED NPSH 0 L/SEC 10 20 30 200 6.75" (171mm) 150 6.25" (159mm) 5.75" (146mm 100 5.25" (133mm 50 50 HEAD IN FEET 100 PUMP PERFORMANCE CURVES 200 400 600 68% 15HP(11.19KW) 74% 79% 82% 84% = 86% 86.5% ---20HP(14.91KW SHP(18.64KW) FLOW IN GALLONS PER MINUTE Nominal Pipe Size Wall Thickness (mm) Outside Stainless Steel Carbon Steel Diameter Sch Sch Sch Sch Sch Sch Sch Sch DN NPS (mm) STD 5S 10S 40S 80S 10 20 30 40 60 Sch Sch 80 O XS 6 18 10.3 1.24 1.73 2.41 1.24 1.45 1.73 1.73 2.41 2.41 8 14 13.7 1.65 2.24 3.02 1.65 1.85 2.24 2.24 3.02 3.02 10 3/8 17.1 1.65 2.31 3.20 1.65 1.85 2.31 2.31 3.20 3.20 15 1/2 21.3 1.65 2.11 2.77 3.73 2.11 2.41 2.77 2.77 3.73 3.73 20 3/4 26.7 1.65 2.11 2.87 3.91 2.11 2.41 2.87 2.87 3.91 3.91 25 1 33.4 1.65 2.77 3.38 4.55 2.77 2.90 3.38 3.38 4.55 4.55 32 1¼ 42.2 1.65 2.77 3.56 4.85 2.77 2.97 3.56 3.56 4.85 4.85 40 1½ 48.3 1.65 2.77 3.68 5.08 2.77 3.18 3.68 3.68 5.08 5.08 50 2 60.3 1.65 2.77 3.91 5.54 2.77 3.18 3.91 3.91 5.54 5.54 2½ 73.0 2.11 3.05 5.16 7.01 3.05 4.78 5.16 5.16 7.01 7.01 80 3 88.9 2.11 3.05 5.49 7.62 3.05 4.78 5.49 5.49 7.62 7.62 90 3½ 101.6 2.11 3.05 5.74 8.08 3.05 4.78 5.74 5.74 8.08 8.08 100 4 114.3 2.11 3.05 6.02 8.56 3.05 4.78 6.02 6.02 8.56 8.56 125 5 141.3 2.77 3.40 6.55 9.53 3.40 6.55 6.55 9.53 9.53 150 6 168.3 2.77 7.11 10.97 3.40 200 8 219.1 2.77 8.18 12.70 3.76 250 10 273.1 300 12 323.9 350 14 355.6 400 16 450 18 500 20 550 22 559 3.40 7.11 3.76 7.04 8.18 8.18 10.31 12.70 3.40 4.19 9.27 12.70 4.19 6.35 7.80 9.27 9.27 12.70 15.09 12.70 3.96 4.57 9.53 12.70 4.57 6.35 8.38 10.31 9.53 14.27 17.48 12.70 3.96 4.78 9.53 12.70 6.35 7.92 9.53 11.13 9.53 15.09 19.05 12.70 406.4 4.19 4.78 9.53 12.70 6.35 7.92 9.53 12.70 9.53 16.66 21.44 12.70 457 4.19 4.78 9.53 12.70 6.35 7.92 11.13 14.27 9.53 19.05 23.83 12.70 508 4.78 5.54 9.53 12.70 4.78 5.54 7.11 10.97 10.97 6.35 12.70 600 24 610 5.54 6.35 9.53 12.70 650 26 660 6.35 9.53 12.70 15.09 9.53 20.62 26.19 12.70 6.35 9.53 12.70 9.53 22.23 28.58 6.35 9.53 14.27 17.48 9.53 24.61 30.96 7.92 12.70 9.53 12.70 12.70 12.70 700 28 711 750 30 762 6.35 7.92 7.92 12.70 15.88 7.92 12.70 15.88 9.53 12.70 9.53 12.70 • Atlas Steels www.atlassteels.com.au 86% 50 84% 82% 79% 74% 68% 30HP(22.37KW)fengenden 1000 1200 These dimensions are nominal - substantial tolerances apply - refer to Atlas TechNote 12 and the star Stainless steel pipe nominal dimensions based on ASTM A312M and ASME B36.19M-2004. Carbon steel pipe nominal dimensions based on ASTM A106M and ASME B36.10M-2004. For other wal above DN 750 up to DN 2000 consult ASME B36.10M. 503 40HP(29.83KW). 60 70 70 60 20 22 50 40 50 HEAD IN METERS 10 100 200 - 500 HEAD IN KILOPASCALS 0 20 -200 METERS 10100 009- 01 KPA
Milk with a viscosity of μ-3 cP and density p=1060 kg/m³ flows through the pipeline from point 1 to point 2. An X NB (Nominal Bore) pipe is used at an elevation of 100 m at section A. Section B is at an elevation of 107 m, and the pipe size is increased by 50NB. The pipes used are stainless steel with a schedule of 40S. When a discharge of 500 GPM is passed through this pipe, the pressure at section A is observed to be 30 kPa. (a) As a general guideline, a suitable velocity for transferring milk is roughly within 1 to 4 m/s. Determine X NB and Y NB in a way that stays within the suitable range. (b) What is the minimum length for section A for flow to reach fully developed (entrance length)? (c) Calculate the pressure at point 2. Hint: The ID (internal diameter) of the pipe must be considered in the calculation (see the attached file). 2 Note: Y NB > X NB Y NB X NB 107.00 m 100.00 m B datum Nominal Dim 뾰 25 FEET 50 7.25" (184mm) REQUIRED NPSH 0 L/SEC 10 20 30 200 6.75" (171mm) 150 6.25" (159mm) 5.75" (146mm 100 5.25" (133mm 50 50 HEAD IN FEET 100 PUMP PERFORMANCE CURVES 200 400 600 68% 15HP(11.19KW) 74% 79% 82% 84% = 86% 86.5% ---20HP(14.91KW SHP(18.64KW) FLOW IN GALLONS PER MINUTE Nominal Pipe Size Wall Thickness (mm) Outside Stainless Steel Carbon Steel Diameter Sch Sch Sch Sch Sch Sch Sch Sch DN NPS (mm) STD 5S 10S 40S 80S 10 20 30 40 60 Sch Sch 80 O XS 6 18 10.3 1.24 1.73 2.41 1.24 1.45 1.73 1.73 2.41 2.41 8 14 13.7 1.65 2.24 3.02 1.65 1.85 2.24 2.24 3.02 3.02 10 3/8 17.1 1.65 2.31 3.20 1.65 1.85 2.31 2.31 3.20 3.20 15 1/2 21.3 1.65 2.11 2.77 3.73 2.11 2.41 2.77 2.77 3.73 3.73 20 3/4 26.7 1.65 2.11 2.87 3.91 2.11 2.41 2.87 2.87 3.91 3.91 25 1 33.4 1.65 2.77 3.38 4.55 2.77 2.90 3.38 3.38 4.55 4.55 32 1¼ 42.2 1.65 2.77 3.56 4.85 2.77 2.97 3.56 3.56 4.85 4.85 40 1½ 48.3 1.65 2.77 3.68 5.08 2.77 3.18 3.68 3.68 5.08 5.08 50 2 60.3 1.65 2.77 3.91 5.54 2.77 3.18 3.91 3.91 5.54 5.54 2½ 73.0 2.11 3.05 5.16 7.01 3.05 4.78 5.16 5.16 7.01 7.01 80 3 88.9 2.11 3.05 5.49 7.62 3.05 4.78 5.49 5.49 7.62 7.62 90 3½ 101.6 2.11 3.05 5.74 8.08 3.05 4.78 5.74 5.74 8.08 8.08 100 4 114.3 2.11 3.05 6.02 8.56 3.05 4.78 6.02 6.02 8.56 8.56 125 5 141.3 2.77 3.40 6.55 9.53 3.40 6.55 6.55 9.53 9.53 150 6 168.3 2.77 7.11 10.97 3.40 200 8 219.1 2.77 8.18 12.70 3.76 250 10 273.1 300 12 323.9 350 14 355.6 400 16 450 18 500 20 550 22 559 3.40 7.11 3.76 7.04 8.18 8.18 10.31 12.70 3.40 4.19 9.27 12.70 4.19 6.35 7.80 9.27 9.27 12.70 15.09 12.70 3.96 4.57 9.53 12.70 4.57 6.35 8.38 10.31 9.53 14.27 17.48 12.70 3.96 4.78 9.53 12.70 6.35 7.92 9.53 11.13 9.53 15.09 19.05 12.70 406.4 4.19 4.78 9.53 12.70 6.35 7.92 9.53 12.70 9.53 16.66 21.44 12.70 457 4.19 4.78 9.53 12.70 6.35 7.92 11.13 14.27 9.53 19.05 23.83 12.70 508 4.78 5.54 9.53 12.70 4.78 5.54 7.11 10.97 10.97 6.35 12.70 600 24 610 5.54 6.35 9.53 12.70 650 26 660 6.35 9.53 12.70 15.09 9.53 20.62 26.19 12.70 6.35 9.53 12.70 9.53 22.23 28.58 6.35 9.53 14.27 17.48 9.53 24.61 30.96 7.92 12.70 9.53 12.70 12.70 12.70 700 28 711 750 30 762 6.35 7.92 7.92 12.70 15.88 7.92 12.70 15.88 9.53 12.70 9.53 12.70 • Atlas Steels www.atlassteels.com.au 86% 50 84% 82% 79% 74% 68% 30HP(22.37KW)fengenden 1000 1200 These dimensions are nominal - substantial tolerances apply - refer to Atlas TechNote 12 and the star Stainless steel pipe nominal dimensions based on ASTM A312M and ASME B36.19M-2004. Carbon steel pipe nominal dimensions based on ASTM A106M and ASME B36.10M-2004. For other wal above DN 750 up to DN 2000 consult ASME B36.10M. 503 40HP(29.83KW). 60 70 70 60 20 22 50 40 50 HEAD IN METERS 10 100 200 - 500 HEAD IN KILOPASCALS 0 20 -200 METERS 10100 009- 01 KPA
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
Transcribed Image Text:Milk with a viscosity of μ-3 cP and density p=1060 kg/m³ flows through the pipeline from point 1 to
point 2. An X NB (Nominal Bore) pipe is used at an elevation of 100 m at section A. Section B is at an
elevation of 107 m, and the pipe size is increased by 50NB. The pipes used are stainless steel with a
schedule of 40S. When a discharge of 500 GPM is passed through this pipe, the pressure at section
A is observed to be 30 kPa.
(a) As a general guideline, a suitable velocity for transferring milk is roughly within 1 to 4 m/s.
Determine X NB and Y NB in a way that stays within the suitable range.
(b) What is the minimum length for section A for flow to reach fully developed (entrance
length)?
(c) Calculate the pressure at point 2.
Hint: The ID (internal diameter) of the pipe must be considered in the calculation (see the attached
file).
2
Note: Y NB > X NB
Y NB
X NB
107.00 m
100.00 m B
datum
Transcribed Image Text:Nominal Dim
뾰 25
FEET
50
7.25" (184mm)
REQUIRED NPSH
0 L/SEC
10
20
30
200
6.75" (171mm)
150
6.25" (159mm)
5.75" (146mm
100 5.25" (133mm
50
50
HEAD IN FEET
100
PUMP PERFORMANCE CURVES
200
400
600
68%
15HP(11.19KW)
74%
79%
82%
84%
=
86%
86.5%
---20HP(14.91KW
SHP(18.64KW)
FLOW IN GALLONS PER MINUTE
Nominal
Pipe Size
Wall Thickness (mm)
Outside
Stainless Steel
Carbon Steel
Diameter
Sch
Sch Sch Sch
Sch
Sch
Sch
Sch
DN
NPS
(mm)
STD
5S
10S
40S
80S
10
20
30
40
60
Sch Sch
80
O
XS
6
18
10.3
1.24
1.73
2.41
1.24
1.45
1.73
1.73
2.41
2.41
8
14
13.7
1.65 2.24
3.02
1.65
1.85 2.24 2.24
3.02 3.02
10
3/8
17.1
1.65 2.31
3.20
1.65
1.85 2.31
2.31
3.20 3.20
15
1/2
21.3
1.65
2.11
2.77
3.73
2.11
2.41
2.77
2.77
3.73 3.73
20
3/4
26.7
1.65
2.11
2.87 3.91
2.11
2.41
2.87
2.87
3.91 3.91
25
1
33.4
1.65
2.77
3.38
4.55
2.77
2.90
3.38
3.38
4.55 4.55
32
1¼
42.2
1.65
2.77
3.56 4.85
2.77
2.97
3.56
3.56
4.85 4.85
40
1½
48.3
1.65
2.77
3.68
5.08 2.77
3.18
3.68
3.68
5.08 5.08
50
2
60.3
1.65
2.77
3.91 5.54
2.77
3.18
3.91 3.91
5.54
5.54
2½
73.0
2.11
3.05
5.16
7.01
3.05
4.78 5.16
5.16
7.01
7.01
80
3
88.9
2.11
3.05
5.49
7.62 3.05
4.78
5.49
5.49
7.62
7.62
90
3½
101.6
2.11
3.05 5.74
8.08 3.05
4.78
5.74
5.74
8.08
8.08
100
4
114.3 2.11
3.05 6.02 8.56 3.05
4.78
6.02
6.02
8.56 8.56
125
5
141.3 2.77
3.40
6.55 9.53 3.40
6.55 6.55
9.53
9.53
150
6
168.3 2.77
7.11 10.97 3.40
200
8
219.1
2.77
8.18 12.70 3.76
250
10
273.1
300
12
323.9
350
14
355.6
400
16
450
18
500 20
550 22
559
3.40
7.11
3.76
7.04 8.18 8.18 10.31 12.70
3.40 4.19 9.27 12.70 4.19
6.35
7.80 9.27 9.27 12.70 15.09 12.70
3.96 4.57 9.53 12.70 4.57 6.35 8.38 10.31 9.53 14.27 17.48 12.70
3.96 4.78 9.53 12.70 6.35 7.92 9.53 11.13 9.53 15.09 19.05 12.70
406.4 4.19 4.78 9.53 12.70 6.35 7.92 9.53 12.70 9.53 16.66 21.44 12.70
457 4.19 4.78 9.53 12.70 6.35 7.92 11.13 14.27 9.53 19.05 23.83 12.70
508
4.78
5.54 9.53 12.70
4.78 5.54
7.11
10.97 10.97
6.35
12.70
600
24
610
5.54
6.35 9.53 12.70
650
26
660
6.35 9.53 12.70 15.09 9.53 20.62 26.19 12.70
6.35 9.53 12.70
9.53 22.23 28.58
6.35 9.53 14.27
17.48 9.53 24.61 30.96
7.92 12.70
9.53
12.70
12.70
12.70
700
28
711
750
30
762 6.35
7.92
7.92 12.70 15.88
7.92 12.70 15.88
9.53
12.70
9.53
12.70
•
Atlas
Steels
www.atlassteels.com.au
86%
50
84%
82%
79%
74%
68%
30HP(22.37KW)fengenden
1000
1200
These dimensions are nominal - substantial tolerances apply - refer to Atlas TechNote 12 and the star
Stainless steel pipe nominal dimensions based on ASTM A312M and ASME B36.19M-2004.
Carbon steel pipe nominal dimensions based on ASTM A106M and ASME B36.10M-2004. For other wal
above DN 750 up to DN 2000 consult ASME B36.10M.
503
40HP(29.83KW).
60
70
70
60
20
22
50
40 50
HEAD IN METERS
10
100
200
- 500
HEAD IN KILOPASCALS
0
20
-200
METERS
10100
009-
01
KPA
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