steam tracing calculation.xls

8/10/2019 Steam Tracing Calculation.xls

1/76

Steam tracing simulation for determining Process Flu

SI Unit Version

Author: J.A.B. de Lange

Source: www.cheresources.com

Inputs

Line Number 123

Pipe Length (m) 40

Steam SpecificationSteam Pressure (kPa) 400

Process Fui! Pipe

Pipe NPS (inches) 8"

Pipe sche!ue STD

Pipe materia Carbon steel

"inimum aowabe fui! temperature (#$) 30

Steam tracing a%aiabe

&are'$emente! &are

mount of %aiabe racers *

racer NPS (inches) "

racer Pipe "ateria Stainless Steel

Insuation Specifications

Insuation "ateria Rock Wool 40 kg/m

Insuation hickness (mm)

+missi%it, of insuation agging 0!4

mbient $on!itions

mbient emperature (#$) 1

-in! Veocit, (km'h) 10!8

MessagesSolution converged to a satisfactory degree

Hottest Surface Temperature Acceptable for Personnel Protection, insulati

Insulation thickness acceptable, but refer to the second message for furthe

Steam pressure acceptable

Process Fluid Temperature acceptable, and above Minimum Alloable Flui

Press $tr L to acti%ate the macro that runs the simuation.

/It is e0treme, important that the references in the 1utputs section an! th

/It is aso %er, important to rea! the messages at the bottom of the screen


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5/76

id Temperature

ssumptions:

Sat#rate$ Steam is #se$% &ress#re $ro& along lengt' o( &i&e neglegibleResistance to 'eat trans(er t'ro#g' tracer &i&e )all material is neglegible

1uputs

1ther Information

nnuus emperature (#$) 84!

Steam InformationSteam emperature (#$) 143!*

Steam $onsumption (kg'h) 4

Process Fui! Pipe

Process Fui! emperature (#$) 56Pipe 1uter 7a!ius (mm) 10!4

Pipe -a hickness (mm) 8!18

Pipe Inner 7a!ius (mm) 101!3*

2!8

Steam racer Information

racer 1uter 7a!ius (mm) 10!*+

Spacers 7e8uire!

Insuation Information

0!040++

emperature 7ange (#$) ,43 to 200-C

%erage Insuation emperature (#$) 4+

1uter Surface Information

9ottest 1utsi!e Surface emperature (#$)

10!3

n thickness ok

r information

Temperature

2ata sheet not be change!3 as this wi cause the program to respon! incorrect,.

each time the simuation has been run3 before e%auating the outputs.

-a "ateria herma $on!ucti%it,3 kw3 (-'m;)

herma $on!ucti%it,3 k(ins)3 (-'m;)

Surface Fim $oefficient3 ho3 (-'m


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0


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0


13/76

Steam tracing simulation for determining Process Fl

Imperia Unit Version

Author: J.A.B. de Lange

Source: www.cheresources.com

Inputs

Line Number 123

Pipe Length (ft) 131!233

Steam SpecificationSteam Pressure (psi) 8!013

Process Fui! Pipe

Pipe NPS (inches) 8"

Pipe sche!ue STD

Pipe materia Carbon steel

"inimum aowabe fui! temperature (#F) 8*

Steam tracing a%aiabe

&are'$emente! &are

mount of %aiabe racers *

racer NPS (inches) "

racer Pipe "ateria Stainless Steel

Insuation Specifications

Insuation "ateria Rock Wool 40 kg/m

Insuation hickness (inches) 2

+missi%it, of insuation agging 0!4

mbient $on!itions

mbient emperature (#F) **

-in! Veocit, (ft's)

MessagesSolution converged to a satisfactory degree

Hottest Surface Temperature Acceptable for Personnel Protection, insulati

Insulation thickness acceptable, but refer to the second message for furth

Steam pressure acceptable

Process Fluid Temperature acceptable, and above Minimum Alloable Flui

Press $tr r to acti%ate the macro that runs the simuation.

/It is e0treme, important that the references in the 1utputs section an! th

/It is aso %er, important to rea! the messages at the bottom of the screen


14/76


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17/76

id Temperature

ssumptions:

Sat#rate$ Steam is #se$% &ress#re $ro& along lengt' o( &i&e neglegibleResistance to 'eat trans(er t'ro#g' tracer &i&e )all material is neglegible

1uputs

1ther Information

nnuus emperature (#F) 181!0

Steam InformationSteam emperature (#F) 20!

Steam $onsumption (bm'h) *5

Process Fui! Pipe

Process Fui! emperature (#F) *6=Pipe 1uter 7a!ius (inches) 4!31

Pipe -a hickness (inches) 0!32

Pipe Inner 7a!ius (inches) 3!

30!*


racer 1uter 7a!ius (inches) 0!42

Spacers 7e8uire!


0!028

emperature 7ange (#F) ,4 to 30-.

%erage Insuation emperature (#F) 113


9ottest 1utsi!e Surface emperature (#F) *6=

1!8

n thickness ok

r information

d Temperature

e 2ata sheet not be change!3 as this wi cause the program to respon! incorrect,.

each time the simuation has been run3 before e%auating the outputs.

-a "ateria herma $on!ucti%it,3 kw3 (&U'fth#F)

herma $on!ucti%it,3 k(ins)3 (&U'fth#F)

Surface Fim $oefficient3 ho3 (&U'ft>h#F)


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0


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0


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e(ore attem&ting to r#n t'e sim#lations% make s#re o#r ersion o( ecel is con(ig#re$ as (ollo)s

Selecting t'e cell )ill $is&la instr#ctions!

* Insta So%er

> "ake sure the macro function can use So%er

( at an time Soler re&orts an error message a(ter a macro 'as been r#n% sim&l #ninstall t'e Soler 5$$,n (rons men# 6(o#n$ #n$er Tools7% an$ reinstall Soler as $escribe$ #n$er "nstall Soler"!

( t'e aboe 'as no e((ect on t'e o#tcome o( t'e error message% tr g#essing anot'er al#e (or t'e ins#lation t'icsometimes conerges to $i((erent al#es $e&en$ing on t'e initial starting al#e!


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t'e 5$$,

ness! Soler


31/76

SI units

%aiabe Steam

atent 9eat 6k:/kg7

[email protected]@=A4A6A

Pipes are

Re(erence 1 11 Cemente$

Re(erence 2 8

herma con!ucti%it,3 PFP3 kw3 (-'m;)

emperature3; >=A.* 6=A.* @=A.* kw

Stainless steel 1* 1+ 1 1*!40**++

Carbon steel 4 1 4+ 2!82143

Co&&er 401 400 38 400!34432

rass 10 10 10 105l#mini#m 20 2 20 21!******+

ron 80 *8 *0 +!11843+3

herma con

emperature3 ; >6? >@? > >4? >A6.*

.iberglass 0!032

.oam ;lass 0!04 0!04**** 0!048*1 0!0088001+ 0!0230+

Calci#m silicate 0!038

Rigi$


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12 43!2 0!* 3

13 4*!8 0!* 4

14 0!4 0!+

1 4 0!+ *

1* +!* 0!8 +

1+ *1!2 0!8 8

18 *4!8 0!

1 *8!4 0! 10

20 +2 1 11

12

13

14

1

1*

1+

18

1

2021

22

23

24

2

2*

2+

28

2

30

3132

33

34

3

3*

3+

38

3

40

41

4243

44

4

4*

4+

48

4


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0

Imperia Units

%aiabe steam

Latent 9eat (&U'bm)

>=.=*5

Pipes are

Re(erence 1 11 Cemente$

Re(erence 2 8

herma con!ucti%it,3 PFP3 kw3 (&U'fth#F)

emperature3; 44 >4 @64 kw

Stainless steel !24321201* !82012+*+2 10!+*3142*2 !44+0033

Carbon steel 31!1840 2!4*2+38302 2+!1132+ 30!0+*+

Co&&er 231!*80012 231!0803004 22!2488024 231!43+041

rass *2!*3818* *2!*3818* *2!*3818*02 *2!*3818*

5l#mini#m 144!4218+8 14+!313*11 144!4218++2+ 14!3880223

ron 4*!21*0*008 3!283*10* 34!**2040*0+ 43!82+0*41

herma con

emperature3 ; >6? >@? > >4? >A6.*.iberglass 0!032

.oam ;lass 0!04 0!04**** 0!048*1 0!0088001+ 0!0230+

Calci#m silicate 0!038

Rigi$


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1 0!2 2

18 0!3 3

21 0!3 4

24 0!4

2+ 0!4 *

30 0! +

33 0! 8

3* 0!*

3 0!* 10

42 0!+ 11

4 0!+ 12

48 0!8 13

1 0!8 14

4 0! 1

+ 0! 1*

*0 1 1+

18

120

21

22

23

24

2

2*

2+

28

2

30

31

32

33

34

3

3*

3+

38

3

40

4142

43

44

4

4*

4+

48


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4

0

1

2

3

4

*

+

8

*0

*1

*2

*3

*4

*

***+

*8

*

+0

+1

+2

+3

+4

+

+*

++

+8+

80

81

82

83

84

8

8*

8+

88

8

01

2

3

4

*

+

8


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100

101

102

103

104

1010*

10+

108

10

110

111

112

113

114

11

11*

11+118

11

120


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5mo#nt o( Tracers

1 racer 12 12 (Inches) 12 (mm)

2 0!*+2 1+!0*88

3 " 0!84 21!33*

4 =" 1!0 2*!*+

1" 1!31 33!401

Re(erence >

Stainless Steel

Carbon Steel

7eference

2

ucti%it,3 Insuation materia3 kins

>=4.* 6*?.A 6>6.* 6@A.* 646.*

0!033 0!034314 0!03+ 0!04 0!044

0!02 0!0+*44 0!02+ 0!0*4880*2 0!0+028

0!04 0!0 0!0* 0!0+ 0!082

0!02*20+ 0!02*4084 0!02*+ 0!02*842 0!02+04

0!0+8 0!0*21 0!0*4 0!0*+4 0!0+04

0!038 0!04 0!042 0!04+ 0!04

0!03*8 0!03 0!041 0!0448 0!0480!03 0!04 0!041 0!043* 0!04*

perature >#tts

1uputs: &are

1ther Information

nnuus emperature (#$) 84!

Steam Information

Steam emperature (#$) 143!*1232

Steam $onsumption (kg'h) +!21

Process Fui! Pipe

Process Fui! emperature (#$) 56.>*@A=5?5

Pipe 1uter 7a!ius (mm) 10!4


?"


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2!8



Spacers 7e8uire!


0!040++


%erage Insuation emperature (#$) 4*!*0


9ottest 1utsi!e Surface emperature (#$) !22

10!3

1uputs: $emente!

1ther Information

nnuus emperature (#$) 113!2

Steam Information

Steam emperature (#$) 143!*1232

Steam $onsumption (kg'h) 14!1

Process Fui! PipeProcess Fui! emperature (#$) *>*.=

Pipe 1uter 7a!ius (mm) 10!4



2!8



Spacers 7e8uire!


0!040++


%erage Insuation emperature (#$) +4!03


-a "ateria herma $on!ucti%it,3 kw3 (-'m;)

herma $on!ucti%it,3 k(ins)3 (-'m;)



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9ottest 1utsi!e Surface emperature (#$) 1!14

11!4

L act (mm) *8!*313238

5mo#nt o( Tracers racer 12 12 (Inches) 12 (mm)

1 0!*+2 1+!0*88

2 " 0!84 21!33*

3 =" 1!0 2*!*+

4 1" 1!31 33!401

Re(erence >

Stainless Steel

Carbon Steel

7eference

2

ucti%it,3 Insuation materia3 kins3 (&U'fth#F)

>=4.* 6*?.A 6>6.* 6@A.* 646.*0!033 0!034314 0!03+ 0!04 0!044

0!02 0!0+*44 0!02+ 0!0*4880*2 0!0+028

0!04 0!0 0!0* 0!0+ 0!082

0!02*20+ 0!02*4084 0!02*+ 0!02*842 0!02+04

0!0+8 0!0*21 0!0*4 0!0*+4 0!0+04

0!038 0!04 0!042 0!04+ 0!04

0!03*8 0!03 0!041 0!0448 0!048

0!03 0!04 0!041 0!043* 0!04*

perature >#tts

-. 1uputs: &are

1ther Information

nnuus emperature (#F) 181!0

Steam Information



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Steam emperature (#F) 20!14*

Steam $onsumption (bm'h) 1!

Process Fui! Pipe

Process Fui! emperature (#F) *6=.@@

Pipe 1uter 7a!ius (inches) 4!31


Pipe Inner 7a!ius (inches) 3!

30!*



Spacers 7e8uire!


0!028emperature 7ange (#F) ,4 to 30-.

%erage Insuation emperature (#F) 113!0


9ottest 1utsi!e Surface emperature (#F) 13!43

1!8

1uputs: $emente!

1ther Information

nnuus emperature (#F) 23!

Steam Information

Steam emperature (#F) 20!14*

Steam $onsumption (bm'h) 40!03

Process Fui! Pipe

Process Fui! emperature (#F) >?.A5

Pipe 1uter 7a!ius (inches) 4!31


Pipe Inner 7a!ius (inches) 3!30!*



Spacers 7e8uire!






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0!028

emperature 7ange (#F) ,4 to 30-.

%erage Insuation emperature (#F) 1*!1*


9ottest 1utsi!e Surface emperature (#F) +!

2!0

L act (inches) 2!**114




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Cement

0!21

0!2*2

?.>5>

6=A.* @>6.* @@A.* @46.*

0!04+ 0!02 0!0+ 0!0*2

0!0+*12*2 0!08241+ 0!081*2 0!0*34

0!0*1 0!0*3 0!0** 0!0*8

0!02+1*2 0!02+21 0!02+182 0!02+08

0!0+48 0!08 0!08* 0!03

0!0 0!0* 0!0+3 0!08

0!03 0!08 0!0*2 0!0*0!0 0!0 0!0 0!0*4

k1 21!213148

k2 0!4+821*3

acos66r1,r27/6r1@r277 0!*0402318 Starting Vaues 2iff

Ts#r( &i&e bare -C 21!43*+121* 21!43801+ 1!28140A,010

Ts#r( &i&e cement 23!4320143 23!432+8844 2!14034A,010

> 1!31118A,008

*.=>?64?6@ 8!*3*18A,008

Sol#tion conerge$ to a satis(actor $egree=.=A*A+C??A

Sol#tion conerge$ to a satis(actor $egree


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c1 14!8343***+2

c2 0!482482+43

c3 1!*0+8+14

NPS 8t (-'m


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mm inc'

nst'ick !00 2!1*34330+

Cement

0!1*8

0!21

?.*5A

6=A.* @>6.* @@A.* @46.*0!04+ 0!02 0!0+ 0!0*2

0!0+*12*2 0!08241+ 0!081*2 0!0*34

0!0*1 0!0*3 0!0** 0!0*8

0!02+1*2 0!02+21 0!02+182 0!02+08

0!0+48 0!08 0!08* 0!03

0!0 0!0* 0!0+3 0!08

0!03 0!08 0!0*2 0!0*

0!0 0!0 0!0 0!0*4

k1 22!22210102

k2 0!302*124383

ctrl @ r

acos66r1,r27/6r1@r277 0!*040800 Starting Vaues 2iff

Ts#r( &i&e bare -. +1!*3***3 +1!*3*0413*4 3!0421*A,00+

Ts#r( &i&e cement -. +!4+8+*13* +!4+822*4 1!12*A,008


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24" !+

30" !+

3*" !+

42" !*

48" !*

>*.

mm inc'

nst'ick !00 2!1*34330+

0!*040800

E 1!084*2*+4*


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@=A.* >6.* 46.* =A.* 5>6.* 5@A.* 546.*

0!0*8 0!0+

0!103+0*2 0!11204+

0!0+1 0!0+423*3 0!08 0!083 0!08* 0!0 0!028

0!02*02 0!02** 0!022 0!02443 0!0248 0!0242*3 0!023*

, , , , , , ,

0!0+ 0!118

0!0* 0!0+20!0* 0!0+38

are

Cem

contin#e!


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@=A.* >6.* 46.* =A.* 5>6.* 5@A.* 546.*0!0*8 0!0+

0!103+0*2 0!11204+

0!0+1 0!0+423*3 0!08 0!083 0!08* 0!0 0!028

0!02*02 0!02** 0!022 0!02443 0!0248 0!0242*3 0!023*

, , , , , , ,

0!0+ 0!118

0!0* 0!0+2

0!0* 0!0+38


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contin#e!


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5=A.* 4>6.* 4@A.* 446.* A>6.* A46.* =>6.* ;insInterp

0!038+08*3

0!0*13002

0!0* 0!0 0!104 0!108 0!11* 0!12* 0!13+ 0!0224*+24

0!022+83 0!0213 0!021003 0!02 0!01+++ 0!0124 0!01241 0!02*+*43

, , , , , , , 0!0*2214+*3

0!040++232+*

0!04044308820!040+2300*2


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5=A.* 4>6.* 4@A.* 446.* A>6.* A46.* =>6.* ;insInterp(-'m;)0!0381432

0!0*43332*4

0!0* 0!0 0!104 0!108 0!11* 0!12* 0!13+ 0!0308324+

0!022+83 0!0213 0!021003 0!02 0!01+++ 0!0124 0!01241 0!02*+88031

, , , , , , , 0!0*4*2*42+

0!04481034++

0!0423181

0!042*130*4


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emp range

10 to 20-C

,43 to 20-C

10 to *0-C

10 to *0-C

,43 to 200-C

,43 to 200-C

10 to 20-C10 to 20-C


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emp range ;ins(&U'fth#F)0 to 480-. 0!02204028

,4 to 480-. 0!03+1*2+

0 to 1200-. 0!0311428+*

0 to 1200-. 0!014+02

,4 to 30-. 0!03+334+3

,4 to 30-. 0!0288*+1

0 to 480-. 0!024+2*08

0 to 480-. 0!024**28


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Steam abe SI Units Steam abe Imperia Units

pressure temp 9f pressure temp 9(atent)

kPa ; kD'kg psia !eg F &U'b

*!8 311!84 1*2!18 1 101!+4 *!+3

13!+ 32!411 218!+ 2 12*!0+ 4!03

20!*8 333!*+ 24! 3 141!4+ 10!42

2+!8 340!3 281!2 4 12!* 120!234!4+ 34!0* 302!83 1*2!24 130!2

41!3+ 34!844 321!04 * 1+0!0 138!03

48!2* 33!*1+ 33*!8* + 1+*!84 144!83

!1* 3*!*1 30!1 8 182!8* 10!8+

*2!0 3!*+ 3*3!4 188!2+ 1*!3

*8! 3*2!+11 3+!0+ 10 13!21 1*1!2*

+!84 3*!233 38!*8 11 1+!+ 1*!82

82!+4 3*+!+2 3!2 12 201!* 1+0!0

8!*3 3*!+ 404!+ 13 20!88 1+4

*!3 3+1!+4 413!33 14 20!* 1++!+1

103!42 3+3!+22 421!4+ 1 213!03 181!21

110!32 3+! 42!1+ 1* 21*!32 184!211+!21 3++!283 43*!48 1+ 21!44 18+!**

124!11 3+8!33 443!4 18 222!41 10!**

131!00 380!0* 40!11 1 22!24 13!2

13+! 382!01+ 4*! 20 22+!* 1*!2+

144!+ 383!4*+ 4*2!*2 21 230!+ 18!

11!* 384!8* 4*8!3 22 233!0+ 201!44

18!8 38*!2 4+4!2 23 23!4 203!88

1*!48 38+!44 4+!* 24 23+!82 20*!24

1+2!3+ 388!+44 484! 2 240!0+ 208!2

1+!2+ 38!* 40!0* 2* 242!2 210!+

18*!1* 31!128 4!18 2+ 244!3* 212!

13!0* 32!2*+ 4!83 28 24*!41 214!1! 33!3+2 04!+2 2 248!4 21+

20*!8 34!4 0!14 30 20!34 218!

213!+4 3!44 13!* 31 22!22 220!8

220!*4 3*!11 1+!8 32 24!0 222!+

22+!3 3+!0* 22!1* 33 2!84 224!

234!43 38!4+2 2*!3 34 2+!8 22*!3

241!32 3!422 30!3 3 2!2 228

248!22 400!344 34!2* 3* 2*0! 22!+

2!11 401!2 38!21 3+ 2*2!8 231!4

2*2!01 402!133 41!3 38 2*4!1+ 233

2*8!0 402!4 4!* 3 2*!+2 234!*

2+!8 403!844 4!14 40 2*+!2 23*!1282!* 404!*+2 2!8* 41 2*8!+4 23+!+

28! 40!48 *!3 42 2+0!21 23!2

2*!48 40*!28 !*1 43 2+1!* 240!*

303!38 40+!0+2 *3!1 44 2+3!0* 242!1

310!2+ 40+!83 **!3 4 2+4!44 243!

31+!1+ 408!4 *!*1 4* 2+!8 244!

324!0* 40!33 +2!*3 4+ 2++!14 24*!2


68/76

330!* 410!0*+ +!8 48 2+8!4 24+!*

33+!8 410!+83 +8!1 4 2+!+4 248!

344!+ 411!44 81!4 0 281!02 20!2

31!*4 412!18 84!* 1 282!2+ 21!

38!4 412!8+2 8+!8 2 283! 22!8

3*!43 413!44 0!+8 3 284!+1 24

3+2!33 414!20* 3!+ 4 28! 2!23+!22 414!8*1 *!3* 28+!08 2*!4

38*!12 41!0* !1 * 288!24 2+!*

33!01 41*!13 *01!4 + 28!38 28!8

3!1 41*!+*1 *04! 8 20! 2!

40*!80 41+!383 *0+!2 21!*2 2*1!1

413!+ 41+!8 *0!8 *0 22!+1 2*2!2

420! 418!8 *12!41 *1 23!+ 2*3!3

42+!4 41!183 *14!+ *2 24!8* 2*4!4

434!38 41!+*+ *1+!2 *3 2!1 2*!

441!28 420!344 *20!08 *4 2*! 2**!*

448!1+ 420!1+ *22!41 * 2+!8 2*+!*

4!0+ 421!4+8 *24!+ ** 28! 2*8!+4*1!* 422!033 *2+!2 *+ 2! 2*!+

4*8!8* 422!8 *2!*2 *8 300! 2+0!+

4+!+ 423!128 *31!4 * 301!* 2+1!+

482!* 423!**+ *34!2+ +0 302!3 2+2!+

48!4 424!2 *3*!* +1 303!8 2+3!+

4*!44 424!+22 *38!2 +2 304!83 2+4!+

03!33 42!244 *41!2 +3 30!++ 2+!+

10!23 42!+* *43!34 +4 30*!* 2+*!*

1+!12 42*!2*+ *4!*+ + 30+!*1 2++!*

24!02 42*!+*+ *4+!+* +* 308!1 2+8!

30!1 42+!2*+ *4!8 ++ 30!41 2+!4

3+!81 42+!+* *1! +8 310!2 280!344!+0 428!244 *4!2+ + 311!1+ 281!3

1!* 428!+28 **!13 80 312!04 282!1

8!4 42!20* *8!23 81 312! 283

*!3 42!*+8 **0!32 82 313!+ 283!

+2!28 430!1 **2!41 83 314!* 284!8

+!18 430!*11 **4!1 84 31!43 28!+

8*!0+ 431!0+2 ***!3+ 8 31*!2* 28*!

2!+ 431!28 **8!4* 8* 31+!08 28+!4

!8* 431!+8 *+0!32 8+ 31+!8 288!2

*0*!+* 432!422 *+2!18 88 318!* 28

*13!* 432!8*+ *+4!28 8 31!4 28!

*20! 433!30* *+*!14 0 320!28 20!+*2+!44 433!+3 *+8 1 321!0* 21!

*34!34 434!1+2 *+!8* 2 321!84 22!3

*41!23 434!* *81!+2 3 322!*1 23!1

*48!13 43!022 *83!8 4 323!3+ 23!

*!02 43!444 *8!44 324!13 24!+

**1!2 43!8*1 *8+!3 * 324!88 2!

**8!81 43*!2+8 *8!1* + 32!*3 2*!3


69/76

*+!+1 43*!*83 *0!+ 8 32*!3* 2+

*82!*0 43+!04 *2!* 32+!1 2+!8

*8! 43+!44 *4!28 100 32+!82 28!

**!3 43+!84 **!14 101 328!4 2!3

+03!2 438!24 *+!++ 102 32!2* 300

+10!18 438!*8 *!*3 103 32!+ 300!8

+1+!08 43!0+8 +01!2* 104 330!*+ 301!+23!+ 43!4*+ +02!88 10 331!3+ 302!2

+30!8+ 43!8 +04!+4 10* 332!0* 303

+3+!+* 440!233 +0*!3+ 10+ 332!+ 303!+

+44!** 440!*1+ +08 108 333!44 304!4

+1! 440!8 +0!*3 10 334!11 30!1

+8!4 441!3*+ +11!2* 110 334!+ 30!8

+*!34 441!+3 +12!88 111 33!4* 30*!

++2!24 442!10* +14!1 112 33*!12 30+!2

++!13 442!4+2 +1*!14 113 33*!+8 30+!

+8*!03 442!833 +1+!++ 114 33+!43 308!*

+2!2 443!14 +1!4 11 338!08 30!3

+!82 443!* +20!+ 11* 338!+3 30!80*!+1 443!11 +22!42 11+ 33!3+ 310!*

813!*1 444!2*+ +24!0 118 340!01 311!3

820!0 444!*1+ +2!44 11 340!*4 311!

82+!4 444!*+ +2+!0+ 120 341!2+ 312!*

834!2 44!311 +28!4+ 121 341!8 313!2

841!1 44!** +30!1 122 342!1 313!

848!08 44* +31!4 123 343!13 314!

84!8 44*!33 +33!12 124 343!+4 31!2

8*1!8+ 44*!*+8 +34!2 12 344!3 31!8

8*8!++ 44+!011 +3!1 12* 344! 31*!4

8+!** 44+!344 +3+!4 12+ 34! 31+!1

882!* 44+!*+8 +38!3 128 34*!1 31+!+88!4 448!00* +40!33 12 34*!+4 318!3

8*!3 448!333 +41!* 130 34+!33 31

03!24 448!**1 +43!3 131 34+!2 31!*

10!14 448!83 +44!+ 132 348! 320!2

1+!03 44!30* +4*!1 133 34!08 320!8

23!3 44!*22 +4+!4 134 34!* 321!4

30!82 44!44 +48!4 13 30!23 322

3+!+2 40!2* +0!33 13* 30!+ 322!*

44!*1 40!+2 +1!+3 13+ 31!3* 323!2

1!1 40!883 +3!12 138 31!2 323!8

8!40 41!14 +4!2 13 32!48 324!4

*!3 41!0* +!1 140 33!04 32+2!1 41!811 ++!08 141 33! 32!

+!0 42!11+ +8!4+ 142 34!14 32*!1

8!8 42!422 +!8+ 143 34!* 32*!+

2!88 42!+22 +*1!2* 144 3!23 32+!3

!++ 43!022 +*2!43 14 3!++ 32+!8

100*!*+ 43!322 +*3!82 14* 3*!31 328!4

1013!* 43!*1+ +*!22 14+ 3*!84 32


70/76

1020!4* 43!1+ +**!38 148 3+!38 32!

102+!3 44!211 +*+!+8 14 3+!1 330!1

1034!2 44! +*8!4 10 38!43 330!*

1048!04 4!083 ++1!+3 12 3!48 331!8

10*1!83 4!** ++4!0* 14 3*0!1 332!8

10+!*2 4*!222 ++*!*1 1* 3*1!3 333!

108!41 4*!+8 ++!1+ 18 3*2! 331103!2 4+!344 +81!+3 1*0 3*3! 33*!1

111*! 4+!84 +84!0* 1*2 3*4!4 33+!1

1130!+8 48!444 +8*!*2 1*4 3*!3 338!2

1144!+ 48!83 +88!4 1** 3**! 33!2

118!3* 4!22 +1!2+ 1*8 3*+!4+ 340!2

11+2!1 4*0!0 +3! 1+0 3*8!42 341!2

118!4 4*0!+8 +!2 1+2 3*!3+ 342!2

11!+3 4*1!1 +8!2 1+4 3+0!31 343!2

1213!2 4*1!*1+ 800!+ 1+* 3+1!24 344!2

122+!31 4*2!128 802! 1+8 3+2!1* 34!2

1241!1 4*2!*3 80!22 180 3+3!08 34*!2

124!8 4*3!13 80+! 182 3+3!8 34+!212*8!*8 4*3!*3 80!*4 184 3+4!88 348!1

1282!4+ 4*4!133 811!+ 18* 3+!++ 34!1

12*!2* 4*4!*22 814!0* 188 3+*!* 30

1310!0 4*!111 81*!1 10 3++!3 30!

1323!84 4*!4 818!48 12 3+8!4 31!

133+!*3 4**!0+2 820!+ 14 3+!2* 32!8

131!42 4**! 822!*+ 1* 380!12 33!+

13*!21 4*+!01+ 824!+* 18 380!* 34!*

13+ 4*+!483 82*!8 200 381!8 3!

1413!4+ 4*8!*3 831!+ 20 383!88 3+!+

144+! 4*!+*+ 83+!0 210 38!1 3!

1482!42 4+0!8+8 842!2 21 38+!1 3*2!111*! 4+1!+2 84+!0 220 38!88 3*4!2

11!3+ 4+3!03 81!+4 22 31!8 3**!2

18!8 4+4!04 8*!*2 230 33!+ 3*8!3

1*20!32 4+!128 8*1!28 23 3!* 3+0!3

1*4!8 4+*!144 8*!3 240 3+!3 3+2!3

1*8!2+ 4++!144 8+0!3 24 3!1 3+4!2

1+23!+ 4+8!133 8+4!++ 20 400!+ 3+*!1

1+8!22 4+!10* 8+!1 2 402!+2 3+8

1+2!+ 480!0*1 883!*1 2*0 404!44 3+!

182+!1+ 481 88+!+ 2* 40*!13 381!+

18*1!* 481!28 82!21 2+0 40+!8 383!*

18*!12 482!844 8*!4 2+ 40!4 38!4130!* 483!+44 00!3 280 411!0+ 38+!1

1*!0+ 484!*33 04!4 28 412!*+ 388!

1! 48!11 08!4 20 414!2 30!*

2034!02 48*!3+8 12!4 2 41!81 32!3

20*8! 48+!233 1*!4 300 41+!3 34

220*!4 40!44 31!2 320 423!31 400!

2344!3 43!+ 4*!1+ 340 428! 40*!8


71/76

2482!2 4*!+11 *0!13 3*0 434!41 412!8

2*20!1 4!* +3!*2 380 43!*1 418!*

2+8 02!3+2 8*!*4 400 444!* 424!2

28! 0!03 !2 420 44!4 42!*

3033!8 0+!*11 1011!3 440 44!03 434!8

31+1!+ 10!04 1022! 4*0 48! 43!8

330!* 12!44 1034!3 480 4*2!82 444!+344+! 14!822 104! 00 4*+!01 44!

38!4 1+!0+8 10*!4 20 4+1!0+ 44!2

3+23!3 1!2*+ 10**! 40 4+!01 48!+

38*1!2 21!34 10++!1 *0 4+8!84 4*3!1

3!1 23!4*+ 108+!4 80 482!+ 4*+!

413+ 2!483 10+!1 *00 48*!2 4+1!+

42+4! 2+!4 110*!+ *20 48!+4 4+!8

4412!8 2!3*+ 111*!2 *40 43!1 4+!

40!+ 31!244 112! **0 4*!+ 483!

4*88!* 33!0+2 1134!* *80 4!8* 48+!8

482*! 34!8*1 1143!4 +00 03!08 41!*

4*4!4 3*!*11 112!2 +20 0*!23 4!4102!3 38!328 11*0! +40 0!32 4!1

240!2 40!00* 11*!2 +*0 12!34 02!+

3+8!1 41!* 11++!* +80 1!3 0*!3

1* 43!2*+ 118!+ 800 18!21 0!8

*3! 44!8 113! 820 21!0* 13!3

+1!8 4*!40* 1201!8 840 23!8* 1*!+

2!+ 4+!28 120!+ 8*0 2*!* 20!1

*0*+!* 4!428 121+!4 880 2!3 23!4

*20! 0! 122 00 31! 2*!+

*343!4 2!3 1232!+ 20 34!* 30

*481!3 3!++8 1240!2 40 3+!13 33!2

**1!2 !1+8 124+!4 *0 3!* 3*!3*++!1 *!*1 124!8 80 42!14 3!

*8 +!1+ 12*2 1000 44!8 42!*

+23!+ *1!222 12+! 100 0!3 0!1

+84! *4!41+ 12*!+ 1100 *!28 +!

+2!2 *+!44 1313!+ 110 *1!82 *4!8

82+4 +0!4+8 1330!2 1200 *+!1 +1!

8*18!+ +3!3*1 134*!2 120 +2!38 +8!8

8*3! +*!1*1 13*2 1300 ++!42 8!*

308!2 +8!883 13++!4 130 82!32 2!2

*3 81!22 132!+ 1400 8+!0+ 8!8

+!+ 84!04 140+! 140 1!+ *0!3

10342! 8*!4 1422!+ 100 *!2 *11!+11032 1!411 141!8 1*00 *04!8+ *24!2

11+21! * 1480!4 1+00 *13!13 *3*!

12411 *00!383 108!3 1800 *21!02 *48!

13100! *04!+2 13* 100 *28!* **0!4

13+0 *08!4 1*3!2 2000 *3!8 *+2!1

144+! *12!4*1 10!4 2100 *42!+* *83!8

11* *1*!1+8 1*1+!+ 2200 *4!4 *!


72/76

188! *1!+* 1*44! 2300 *!8 +0+!2

1*48 *23!211 1*+2!3 2400 **2!11 +1

1+23+! *2*!44 1+01! 200 **8!11 +31!+

1+2+ *2!+*+ 1+31!* 2*00 *+3!1 +44!

18*1*! *32!88 1+*1!4 2+00 *+!3 ++!3

130* *3!0* 1+2!* 2800 *84!* ++0!+

1! *38!828 182*!1 200 *0!22 +8!120*8 *41!**+ 18*4! 3000 *!33 801!8

@?? @*5.45= [email protected] A.?*6 >=?.* >=.=*5

7ef P 9 7ef P 9

8 3!1 41*!+*1 *04! 8 8 20! 2!

40*!80 41+!383 *0+!2 21!*2 2*1!1


73/76

PIP+ IN+

PIP+ SIE+ 12 S$9 S S$9 *? S$9 *?S S$9 >? S$9 6? S$9 @? S$9 @?S

S *? *?S >? 6? @? @?S

" 21!33* 18!034 , 1+!12 , , 1!+ 1!+

=" 2*!*+ 23!3*8 , 22!44 , , 20!3 20!3

1" 33!401 30!0 , 2+!8*4 , , 2*!*4 2*!*4

1" 48!2* 44!8 , 42!+23 , , 40!84 40!84

2" *0!32 +!023 , 4!+88 , , 2!01 2!01

2" +3!02 *8!80 , **!2 , , *2!+13 *2!+13

3" 88! 84!*84 , 82!804 , , ++!2+ ++!2+

3" 101!* +!384 , !04 , , 0!12 0!12

4" 114!3 110!084 , 108!204 , , 102!2* 102!2*

*" 1*8!28 1*2!+42 , 1*1!4+2 , , 14!0* 14!0*

8" 21!08 213!42 , 211!*2 20*!38 20!008 202!+22 202!+22

10" 2+3!0 2**!242 , 2*4!**8 2*0!3 2+!44 24!08 24!08

12" 323!8 31!3* 314!+1 311!1 30+!08* 303!22* 304!8

14" 3!* 34+!*+* 342! 34*!0 33!+ 33*! 333!3 ,1*" 40*!4 38!018 33!+ 3*!8 30! 38+!3 381 ,

18" 4+!2 448!818 444! 44+!* 441!3 434! 428!* ,

20" 08 48!4 4!3 4*!3 488! 482!* 4++!824 ,

24" *0!* 8!2* *! *! 0!4 81!0 +4!*4 ,

30" +*2 +48!+3 +4*!18 +4*!1 +3*!*+8 +30!2 , ,

42" 10**!8 , , , , , ,

48" 121!2 , , , , , ,

PIP+ -

PIP+ SIE+ 7a!ius 12 S$9 S$9 S$9 S$9 S$9 S$9 S$9S *? *?S >? 6? @? @?S

" 10!**8 21!33* 1!*1 , 2!108 , , 2!+* 2!+*

=" 13!33 2*!*+ 1!*1 , 2!108 , , 2!8+ 2!8+

1" 1*!+00 33!401 1!*1 , 2!+* , , 3!3+8 3!3+8

1" 24!13 48!2* 1!*1 , 2!+* , , 3!*83 3!*83

2" 30!1*2 *0!32 1!*1 , 2!+* , , 3!12 3!12

2" 3*!12 +3!02 2!108 , 3!048 , , !1* !1*

3" 44!4 88! 2!108 , 3!048 , , !48+ !48+

3" 0!8 101!* 2!108 , 3!048 , , !+4 !+4

4" +!1 114!3 2!108 , 3!048 , , *!02 *!02

*" 84!14 1*8!28 2!+* , 3!404 , , +!112 +!112

8" 10!4 21!08 2!+* , 3!+ *!3 +!03* 8!1+ 8!1+

10" 13*!2 2+3!0 3!404 , 4!11 *!3 +!+8 !2+1 !2+1

12" 1*1! 323!8 3!*2 , 4!+2 *!3 8!382 10!312 !2

14" 1++!8 3!* 3!*2 *!3 4!++ +!2 !2 11!12 ,

1*" 203!2 40*!4 4!11 *!3 4!++ +!2 !2 12!+ ,

18" 228!* 4+!2 4!11 *!3 4!++ +!2 11!12 14!2+ ,

20" 24!1+ 08!38 4!++ *!3 !3+ !2 12!+ 1!088 ,

24" 304!82+ *0!*4 !3+ *!3 *!3 !2 14!2+ 1+!4+ ,


74/76

30" 381!28 +*2!+8 *!*3 +!2 +!2 12!+ 1!8+ , ,

3*" 4+!214 14!42 , +!2 , 12!+ 1!8+ 1!0 ,

42" 33!4 10**!8 , , , , , , ,

48" *0!*2 121!24 , , , , , , ,

"INI"U" LL1-&L

PIP+ SIE+ 12 S$9 S$9 S$9 S$9 S$9 S$9 S$9

S *? *?S >? 6? @? @?S

" 21!33* 1!3+4 , 1!3+4 , , 1!3+4 1!3+4

=" 2*!*+ 1!4*1 , 1!4*1 , , 1!4*1 1!4*1

1" 33!401 1!413 , 1!413 , , 1!413 1!413

1" 48!2* 1!+18 , 1!+18 , , 1!+18 1!+18

2" *0!32 1!8*2 , 1!8*2 , , 1!8*2 1!8*2

2" +3!02 2!014 , 2!014 , , 2!014 2!014

3" 88!02 2!2034 , 2!2034 , , 2!2034 2!2034

3" 101!* 2!348 , 2!348 , , 2!348 2!348

4" 114!3 2!0*3 , 2!0*3 , , 2!0*3 2!0*3*" 1*8!28 3!102 , 3!102 , , 3!102 3!102

8" 21!08 3!+*2 , 3!+*2 3!+*2 3!+*2 3!+*2 3!+*2

10" 2+3!0 4!4 , 4!4 4!4 4!4 4!4 4!4

12" 323!8 !004 , !004 !004 !004 !004 !004

14" 3!* !384+ !384+ !384+ !384+ !384+ !384+ ,

1*" 40*!4 !0+ !0+ !0+ !0+ !0+ !0+ ,

18" 4+!2 *!*+ *!*+ *!*+ *!*+ *!*+ *!*+ ,

20" 08!38 +!20+ +!20+ +!20+ +!20+ +!20+ +!20+ ,

24" *0!*4 8!413 8!413 8!413 8!413 8!413 8!413 ,

30" +*2!+8 10!23 10!23 10!23 10!23 10!23 , ,

3*" 14!42 , 12!00 , 12!00 12!00 12!00 ,42" 10**!8 , , , , , , ,

48" 121!24 , , , , , , ,


75/76

NL 2I"++7 (mm)

S2 S$9 5? S$9 A? S$9 A?S S S$9 *?? S$9 *>? S$9 *@? S$9 *5? S

5? A? A?S *?? *>? *@? *5?

1!+ , 13!8*8 13!8*8 13!8*8 , , , 11!+8* *!401

20!3 , 18!84+ 18!84+ 18!84+ , , , 1!4 11!024

2*!*4 , 24!308 24!308 24!308 , , , 20!+01 1!21

40!84 , 38!1 38!1 38!1 , , , 33!8* 2+!4

2!01 , 4!21 4!21 4!21 , , , 42!84 38!1++

*2!+13 , !00 !004 !00 , , , 3!+ 44!83

++!2+ , +3!** +3!** +3!** , , , **!* 8!42

0!12 , 8!44* 8!44* 8!44* , , , , ,

102!2* , +!18 +!18 +!18 , 2!0 , 8+!32* 80!0*

14!0* , 14*!334 14*!33 14*!334 , 13!+3 , 131!+4 124!388

202!+22 18!4* 13!*8 13!*8 13!*8 188!04 182!4 1++!83 1+3!0* 1+4!*3

24!08 24+!* 242!8+4 24+! 24+!* 23*!24 230!1+4 222!2 21! 222!2

304!8 2!3 288! 28! 28!4 280!+4 2+3!0 2**!+ 2+!2 2+3!0

33*! 32!424 31+! , 330!2 30+! 300!024 22!1 284!1+* ,38+!3 3+3!0+* 3*3!24 , 381 34!02* 344!4+4 333!3 32!424 ,

438!1 41!1 40! , 431!8 38!4+* 38+!3 3++!8 3**!+2* ,

488! 4**!+ 4!*2* , 482!* 442!2* 431!8 41!1 400!0 ,

0! *0!3+4 4+!*+4 , 84!2 31!82* 1+! 04!8 40!24 ,

+42! , , , +3*!* , , , , ,

104+!+ , , , 1041!4 , , , , ,

1200!1 , , , 113!8 , , , , ,

L 9I$;N+SS (mm)

S2 S$9 S$9 S$9 S S$9 S$9 S$9 S$9 S5? A? A?S *?? *>? *@? *5?

2!+* , 3!+34 3!+34 3!+34 , , , 4!++ +!4*8

2!8+ , 3!12 3!12 3!12 , , , !*3 +!823

3!3+8 , 4!4+ 4!4+ 4!4+ , , , *!3 !03

3!*83 , !08 !08 !08 , , , +!13+ 10!1*

3!12 , !3+ !3+ !3+ , , , 8!+38 11!0+4

!1* , +!01 +!011 +!01 , , , !2 14!021

!48+ , +!*2 +!*2 +!*2 , , , 11!12 1!24

!+4 , 8!0++ 8!0++ 8!0++ , , , , ,

*!02 , 8!* 8!* 8!* , 11!12 , 13!48+ 1+!12

+!112 , 10!+3 10!+ 10!+3 , 14!2+ , 18!2*3 21!4*

8!1+ 10!312 12!+ 12!+ 12!+ 1!088 18!2*3 20!*2 23!012 22!22

!2+1 12!+ 1!088 12!++ 12!+ 18!2*3 21!438 2!4 28!+ 2!4

!2 14!2+ 1+!4+ 12!*+ 12!+ 21!438 2!4 28!+ 33!32 2!4

!2 1!088 1!0 , 12!+ 23!82 2+!+88 31!+ 3!+12 ,

!2 1*!**2 21!438 , 12!+ 2*!18+ 30!*3 3*!2 40!488 ,

!2 1!0 23!82 , 12!+ 2!3*2 34!2 3!*+ 4!23+ ,

!2 20!*2 2*!18+ , 12!+ 32!3+ 38!1 44!4 3!+ ,

!2 24!*13 30!*3 , 12!+ 38!88+ 4*!02 2!3+ !38 ,


76/76

!2 , , , 12!+ , , , , ,

!2 , , , 12!+ , , , , ,

!2 , , , 12!+ , , , , ,

!2 , , , 12!+ , , , , ,

+ PIP+ -LL 9I$;N+SS (mm)

S2 S$9 S$9 S$9 S S$9 S$9 S$9 S$9 S

5? A? A?S *?? *>? *@? *5?

1!3+4 , 1!3+4 1!3+4 1!3+4 , , , 1!3+4 1!3+4

1!4*1 , 1!4*1 1!4*1 1!4*1 , , , 1!4*1 1!4*1

1!413 , 1!413 1!413 1!413 , , , 1!413 1!413

1!+18 , 1!+18 1!+18 1!+18 , , , 1!+18 1!+18

1!8*2 , 1!8*2 1!8*2 1!8*2 , , , 1!8*2 1!8*2

2!014 , 2!014 2!014 2!014 , , , 2!014 2!014

2!2034 , 2!2034 2!2034 2!2034 , , , 2!2034 2!2034

2!348 , 2!348 2!348 2!348 , , , , ,

2!0*3 , 2!0*3 2!0*3 2!0*3 , 2!0*3 , 2!0*3 2!0*33!102 , 3!102 3!102 3!102 , 3!102 , 3!102 3!102

3!+*2 3!+*2 3!+*2 3!+*2 3!+*2 3!+*2 3!+*2 3!+*2 3!+*2 3!+*2

4!4 4!4 4!4 4!4 4!4 4!4 4!4 4!4 4!4 4!4

!004 !004 !004 !004 !004 !004 !004 !004 !004 !004

!384+ !384+ !384+ , !384+ !384+ !384+ !384+ !384+ ,

!0+ !0+ !0+ , !0+ !0+ !0+ !0+ !0+ ,

*!*+ *!*+ *!*+ , *!*+ *!*+ *!*+ *!*+ *!*+ ,

+!20+ +!20+ +!20+ , +!20+ +!20+ +!20+ +!20+ +!20+ ,

8!413 8!413 8!413 , 8!413 , 8!413 8!413 8!413 ,

10!23 , , , 10!23 , , , , ,

12!00 , , , 12!00 , , , , ,13!8*8 , , , 13!8*8 , , , , ,

1!*8* , , , 1!*8* , , , , ,

5#t'or:!5!!$eange6in collaboration)it'C!9aslego7

steam tracing calculation.xls

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