hotpipe user manual - opimsoft
TRANSCRIPT
HotPIPETM
User Manual
HotPIPE®
User Manual For Version: 1.0.4
Copyright © 2010-2016 OPIMsoft Technology Co., Ltd. All Rights Reserved.
HotPIPETM
User Manual
INDEX
1 FUNCTION ....................................................................................................................... 1
2 INSTALLATION ................................................................................................................. 2
3 HOW TO USE ................................................................................................................... 3
4 THEORY ABSTRACT ....................................................................................................... 8
5 FORMULATION .............................................................................................................. 10
5.1 Abstract of Analysis Models ............................................................................. 10
5.2 Analytical Model and Explanation of Symbols ................................................. 11
5.3 Discrimination between Type-Ia and Ib............................................................ 14
5.4 Type-Ia ............................................................................................................ 15
5.5 Type-Ib ............................................................................................................ 16
6 NUMERICAL CHECK EXAMPLE ................................................................................... 18
6.1 Analysis Model ................................................................................................ 18
6.2 I/O Sheet ......................................................................................................... 19
6.3 Result .............................................................................................................. 20
6.4 Numerical Check (By Hand Calculation) ......................................................... 20
7 TECHNICAL SUPPORT & AUTHORIZATION ................................................................ 25
HotPIPETM
User Manual
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1 FUNCTION
In transportation of high pour point oil, it is necessary to heat fluid transported in order to
increase efficiency of transportation.
When heated heavy oil is transported like this, piping system covered by thermal insulation
shielded with casing pipe is commonly used in order to decrease loss of temperature of
heating.
HotPIPETM mainly analyzes behavior of such buried double tube piping system applied by
temperature difference and internal pressure. Single pipe system is supported as well.
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User Manual
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2 INSTALLATION
To start to use HotPIPETM, please:
For soft lock edition user:
1. Download software from official website to licensed PC.
2. Replace the original “license.dll” file with the one received.
3. Double click “HotPIPE.exe” icon in the folder to start the software.
For dongle edition user:
1. Download software from official website.
2. Replace the original “license.dll” file with the one received.
3. Insert the attached dongle into one of USB ports of your PC.
4. Double click “HotPIPE.exe” icon in the folder to start the software.
HotPIPETM runs on PC with Windows OS.
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3 HOW TO USE
Brief procedure of running HotPIPETM is shown as following:
1. Input parameters
Fill all the blanks in “Input Parameters” groupbox.
Fig. 3.1 Main interface of HotPIPETM
2. Run the analysis
Click tool button “Run” to start the analysis, an output file with the name specified in “Output
File Name” blank will be generated in “output” folder in root directory of the software.
3. Functions of tool buttons
“Load Case” button: Load the saved input files.
“Save Case” button: Save the parameters inputted into an input file.
“View Result” button: View the output file.
“Help” button: Call the help document.
“Pipe Type” Groupbox: Specify the type of pipe, pipe-in-pipe or single pipe. If single pipe is
specified, some input items about carrier pipe will change to green and cannot be edited, as
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shown in Fig. 3.2.
Fig. 3.2 Single pipe interface
All the “Auto” button: Calculate the corresponding value automatically.
All the “Default” button: Fill the corresponding blank with default value.
All the “Calculator” button: Help you to calculate corresponding value. Customer maybe
needs to provide some necessary value.
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Fig. 3.3 Area Calculator interface of HotPIPETM
Fig. 3.4 External Pressure Calculator interface of HotPIPETM
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Fig. 3.5 Friction Load Calculator interface of HotPIPETM
Fig. 3.6 Spring Constant Calculator interface of HotPIPETM
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The “End Effect Length (m)” blank in spring constant calculator means the length of pipe
between the bend and clamp. In the model, the end effect is considered as spring constant
approximate KB shown as following illustration:
Fig. 3.7 End effect spring model for HotPIPETM
3B
B
3
L
EI3K
Δ
PK
EI3
PLΔ
Where:
E: Young’s modulus of steel;
I: Inertia moment of pipe (both the casing and carrier pipe).
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4 THEORY ABSTRACT
Fig. 4.1 Behavior of piping system due to temperature difference
Dotted line in Figure 4.1 shows behavior of piping system due to temperature difference: ΔT
and internal pressure: P acting on the system.
In this case, as pipeline is buried sufficiently in long distance it is expected that large
expansion of piping system occur at the edge restrained portion.
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Fig. 4.2 Double tube piping system
Figure 4.2 shows double tube piping system.
In this case, axial expansion of P/L in burial portion caused by temperature difference is
restrained by friction between casing pipe and ambient soil.
If there is no rigid point between casing pipe and carrier pipe, large expansion in proportion
to temperature difference: ΔT is resulted at the edge of carrier pipe (BEND), and excessive
stress is caused in P/L, because there is nothing to restrain the expansion of carrier pipe
(Friction force exist between spacer and P/L, but generally it is very small to consider.).
And inside diameter of casing pipe is necessary to have enough room for expansion of P/L.
To copy with this situation it is indispensable for both casing/carrier pipes to collaborate each
other by setting several rigid points between the both pipes because in this way expansion of
carrier pipe due to temperature difference is restrained by collaboration of casing pipe which
utilize friction between casing pipe and ambient soil.
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5 FORMULATION
5.1 Abstract of Analysis Models
Fig. 5.1 Double tube piping system
Figure 5.1 shows that models of analysis are classified two types based on whether
restrained portion of casing pipe exists or not.
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5.2 Analytical Model and Explanation of Symbols
Analytical model and explanation of symbols are shown as follows:
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Symbol Explanation
CONSTANTS
Ei Young’s modulus of carrier pipe (ton/m2)
Eo Young’s modulus of casing pipe (ton/m2)
ν Poisson ratio of carrier/casing pipe
α Coefficient of linear expansion
PIPE
DIMENSIONS
Di Outside diameter of carrier pipe (m)
Do Outside diameter of casing pipe (m)
ti Wall thickness of carrier pipe (m)
to Wall thickness of casing pipe (m)
Asi Section area of carrier pipe (m2)
Aso Section area of casing pipe (m2)
Aii Bore area of carrier pipe (m2)
Aio Bore area of casing pipe (m2)
LOADS
Pi Internal pressure of carrier pipe (kg/cm2)
Po Internal pressure of casing pipe (kg/cm2)
Pe External pressure of casing pipe (kg/cm2)
ΔTi Temperature difference of carrier pipe (oC)
ΔTo Temperature difference of casing pipe (oC)
Fi Restrained force of carrier pipe (ton)
i
iioiiiiiii
t2
AsDPPνAiPTΔαAsEF
Fo Restrained force of casing pipe (ton)
o
ooeooooooo
2t
AsDPPνAiPαΔTAsEF
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Symbol Explanation
L Total length (m)
LB Length for discrimination between Type-Ia and Ib (m)
Lo (a) Unrestrained length of casing pipe (m)
(b) Length from unmoved point to end of P/L of casing pipe (m)
Li Length from unmoved point to end of P/L of carrier pipe (m)
KB Spring constant of P/L end (ton/m)
Wf Friction force (ton/m)
Ko, Ki o
ooo
L
AsEK
i
iii
L
AsEK
δB Expansion of point B (m)
A
oN ,B
oN Axial force of “O” member end (ton)
D
iN ,B
iN Axial force of “i” member end (ton)
R Spring reaction of P/L end (ton)
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5.3 Discrimination between Type-Ia and Ib
Type-Ia, Ib is discriminated by calculating boundary length of Type Ia,b: LB(restrained length
is zero) on basis of Type-Ia.
L>LB TYPE-Ia
L<LB TYPE-Ib
L: Total length of model
Boundary length LB is calculated by following condition that axial force of O and O’ members
equal to axial force: Fo of restrained portion.
o
A
o FN
o
A
o FN '
1f
oo1f
2
oofoof
oKW
FAsEKW2AsEWAsEWL
(5.1)
Bi1 KKK
oi FFF
'
''
1f
oo1f
2
oofoof
oKW
FAsEKW2AsEWAsEWL
(5.2)
''' Bi1 KKK
'ooB LLL
Position of un-moved point of carrier pipe calculated by continuous condition of axial force of
i and i’ members at un-moved point: D is as follows.
D
i
D
i NN '
'''
'''
BoBBoB
BBiiBoBi
KKFKKF
FFAsELKKFL
(5.3)
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Accordingly, next two parameters are calculated by iterative method.
Lo, Lo’ o
A
o
A
o FNN '
Li, Li’ D
i
D
i NN '
Where
2
LWFF of
B
2
LWFF of
B
''
5.4 Type-Ia
In case of type-Ia, un-restrained length Lo, Lo’, position of un-moved point: D(Li, Li’) and edge
expansion δB, δB’ are unknown.
In case of Lo, Lo’, Li and Li’ are assumed, edge expansion is calculated by following
equations.
'''
''
Bio
BB
Bio
BB
KKK
Fδ
KKK
Fδ
(5.4)
Besides, Lo and Lo’ are calculated by boundary condition that axial force of fixed point equal
to Fo according to assumed Li and Li’.
1f
oo1f
2
oofoof
oKW
FAsEKW2AsEWAsEWL
(5.5)
Where
Bi1 KKK
oi FFF
''
'''''
1f
oo1f
2
oofoof
oKW
FAsEKW2AsEWAsEWL
(5.6)
''' Bi1 KKK
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Position of un-moved point: D of carrier pipe is calculated by following equations using of
continuous condition of axial force at un-moved point( D
i
D
i NN ' ) according to assumed Lo and
Lo’.
(Li’=L-Li)
'''
'''
BoBBoB
BBiiBoBi
KKFKKF
FFAsELKKFL
(5.7)
Accordingly, Lo, Lo’, Li and Li’ are calculated by iterative method.
Sectional forces of each members are calculated by following equations.
(boundary condition δA=δD=0)
i
i
D
B
i
ii
D
i
B
i
i
i
B
D
i
ii
B
i
D
i
ofo
ofo
A
B
o
oo
A
o
B
o
ofo
ofo
B
A
o
oo
B
o
A
o
F
F
δ
δ
11
11
L
AsE
N
N
F
F
δ
δ
11
11
L
AsE
N
N
2
LWF
2
LWF
δ
δ
11
11
L
AsE
N
N
2
LWF
2
LWF
δ
δ
11
11
L
AsE
N
N
'
'
'
''
'
'
'
'
'
(5.8)
5.5 Type-Ib
In case of type-Ib, restrained portion does not exist.
Un-moved point of casing pipe: A (Lo, Lo’)
Un-moved point of carrier pipe: D (Li, Li’)
Expansion of edge: δB, δB’
Above values are unknown.
Expansion of edge δB and δB’ are calculated by assumed Lo, Lo’, Li and Li’ as following
equations.
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'''
''
Bio
BB
Bio
BB
KKK
Fδ
KKK
Fδ
(5.9)
Besides, Lo and Lo’ are calculated by continuous condition of axial force at un-moved point of
casing pipe according to assumed Li and Li’ as following equations.
A
o
A
o NN '
0KK2
LAsEWAsELWKKFLAsE
LKKKK
2
LWKKK2K2LAsEW
AsEW2KKKKFAsE
LKKKK2
LW3KKKK
2
AsEW3LKKKKW
Bi
2
oof2
oofBioo
o
BiBi
2
fBiBioof
2
oofBiBioo
2
oBiBif
BiBioof3
oBiBif
''''
''''
''
''''''
(5.10)
Accordingly Li, Li’ and section force of each members are calculated as same as 5.4
TYPE-Ia.
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6 NUMERICAL CHECK EXAMPLE
Numerical check is conducted for example submarine pipeline as follows.
6.1 Analysis Model
Carrier Pipe Casing Pipe
Out Diameter Di = 0.16828 m Do = 0.32385 m
Thickness ti = 0.00632 m to = 0.01113 m
Section Area Asi = 0.00322 m2 Aso = 0.01093 m
2
Bore Area Aii = 0.01902 m2 -
Coefficient of Linear Expansion α = 0.000012
Young’s Modulus E = 2.1×107 ton/m
2
Poisson’s Ratio 0.3
Internal Pressure Pi = 150 ton/m2 -
Temperature Difference ΔTi = 72 oC ΔTo = 32
oC
Note, internal pressure of annulus between casing pipe and carrier pipe are ignored here.
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6.2 I/O Sheet
I/O sheets are indicated as follows.
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6.3 Result
Result indicated by I/O sheets is shown as follows for,
-- restrained portion, un-restrained portion,
-- expansion
-- spring reaction etc.
This model is type-Ia because of boundary length of type-Ia & b: 1383.6m.
Accordingly, this model is inspected as follows.
As the model is symmetry from above figure, numerical check is performed on RIGHT HAND
only.
6.4 Numerical Check (By Hand Calculation)
(1) Thermal Force
Casing Pipe: Fo:
OKton1488
00Po3210210109301012
AiPt2
AsDPνTΔαEAsF
57
oo
o
oooooo
.
....
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Carrier Pipe: Fi:
OKton3459
8529314258
0190201500063202
003220168280150307210210032201012
AiPt2
AsDPPνTΔαEAsF
57
ii
i
iioiiii
.
...
..
......
(2) Friction Length of Casing Pipe: Lo
From Eq. (5.5)
1f
oo1f
2
oofoof
oKW
FAsEKW2AsEWAsEWL
Where
ton4814714883459FFF oi ...
Bi1 KKK
mton6986780
0032201012
L
AsEK
7
i
iii /.
..
mton991063206986K1 /...
m46700
991061810455109941544
991061810
481470109301012991061810201093010121810
01093010121810L
727
7
o
.
../..
../
........
...
(3) Length from Un-moved Point to End of Carrier Pipe: Li
From Eq. (5.7)
'''
'''
BoBBoB
BBiiBoBi
KKFKKF
FFAsELKKFL
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According to condition of symmetry
'BB FF
'oo KK
'BB KK
OKm07802
1560
2
LLi .
(4) Elongation at Point B
From Eq. (5.9)
Bio
BB
KKK
Fδ
Where
ton0984
2
46700181014883459
2
LWFF
2
LWFF of
oiof
B
.
....
mton6832746700
0109301012
L
AsEK
7
o
ooo /.
.
..
OKm1930320698668327
0984δB .
...
.
(5) Member Force (Axial Force)
Casing Pipe:
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From Eq. (5.8)
OKton388
2
46700181014881930
46700
0109301012
2
FWFδ
L
AsEN
7
ofoB
o
ooA
o
.
....
.
..
OKton538
2
46700181014881930
46700
0109301012
2
FWFδ
L
AsEN
7
ofoB
o
ooB
o
.
....
.
..
A
oN and B
oN have small error on comparison with I/O sheets, because this error is
considered effect of significant figure.
Carrier Pipe:
From Eq. (5.8)
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OKton642
34591930780
0032201012
FδL
AsEN
7
iB
i
iiD
i
.
....
OKton642
34591930780
0032201012
FδL
AsEN
7
iB
i
iiB
i
.
....
D
iN and B
iN have small error on comparison with I/O sheets, because this error is
considered effect of significant figure.
(6) Reaction of Spring Support: R
OKton931930320δKR BB ...
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7 TECHNICAL SUPPORT & AUTHORIZATION
For technical support and authorization of HotPIPETM, please visit:
http://www.opimsoft.com
or contact: