Pr oj ect :
1X43M MW W CoalBas edPl antf orWel spun
Sy s t em:
Bl owbac kCal cul at i ons
Tag:
Code AsperANSIB31. 12001/cl auseI I 2. 0 SrNo Symbol Par ame t er I nputDat a St eam Dat a St eam Qual i t y St eam Massflow r at e St eam Pr essur e@ S/V I nl e t St eam Temper at ur e@ S/VI nl e t St eam Pr essur e@ S/V I nl e t St eam Temper at ur e@ S/VI nl e t Ent hal pyatS/V i nl e t Si l encerbac kpr essur e(Fr om Si l encerVendor ) Pa At mospher i cpr essur e(Atdi sc har geenvi r onment) D Di sc har geEl bow Si z e,NB Thi c knessofel bow Pi peOD Pi peI D W St eam Massflow r at e A1 Di sc har geel bow ar ea a
Factor
b
Factor
ho
Ent hal py@ S/Vi nl e t
J
ASMEt est case
Mai nSt ea m Headert o18 at aheader
Mai nSt ea m Headert o18 at aheader
Forval i dati on
PSV315A+315b+ 331A+331B
PSV415+425
Uni t
Val ue
Kg/cm2( g)
64. 00 S
t ph
190. 04
bar ( a)
63. 74
C
537. 80
psi a
925. 01
F
1000. 04
kJ/kg
#VALUE!
Kg /cm2( g)
0. 02
psi a
14. 98
mm
200. 00
mm
8. 18
mm
219. 10
i n l bm/s
116. 38
i n2
50. 00
Bt u/l bm
823. 00 4. 33
Bt u/l bm
#VALUE!
f t l bf /Bt u
gc
Gr avi t at i onalcons t ant
I nstal l ati ondata ForVentpi pe Ventpi pedi ame t er ,NB Thi c knessofv entpi pe Pi peOD 269110762.xls
A3 Ventpi pear ea
2
778. 16
l bmf t /l bf s
32. 20
mm
300. 00
mm
8. 38
mm
323. 90
i n2
PSV351+451
1no Val ue
1no Val ue
1no Val ue
1nos Val ue
18. 80 S 139. 34 19. 42
18. 80 S 139. 34 19. 42
13. 06 S 96. 91 13. 79
8. 96 S 13. 55 9. 77
317. 50 282. 10 603. 50 #VALUE!
317. 50 282. 10 603. 50 #VALUE!
317. 50 200. 50 603. 50 #VALUE!
317. 50 142. 14 603. 50 #VALUE!
0. 00 14. 70
0. 00 14. 70
0. 00 14. 70
0. 00 14. 70
300. 00 9. 50 323. 90 12. 00 85. 33 113. 20
300. 00 9. 50 323. 90 12. 00 85. 33 113. 20
300. 00 9. 50 323. 90 12. 00 59. 35 113. 20
150. 00 7. 10 168. 30 6. 07 8. 30 28. 90
823. 00 4. 33 #VALUE! 778. 16 32. 20
823. 00 4. 33 #VALUE! 778. 16 32. 20
831. 00 4. 33 #VALUE! 778. 16 32. 20
831. 00 4. 33 #VALUE! 778. 16 32. 20
550. 00 9. 53 558. 80
400. 00 9. 53 406. 40
400. 00 9. 53 406. 40
200. 00 8. 18 219. 10
Page 1 of 18
114. 80
354. 60
182. 60
182. 60
50. 00
21. 25
15. 25
15. 25
7. 98
Cal cul ati ons Pr essur e& Vel oci t yf orDi schar geEl bow
A P1
2
PSV350A+ 350b+450a +450b
Vent pipe calculation
I Di n
1
18at aheader 18at aheadert o t o13at a 9ataheader header
Pr essur e@ Di schar geEl bow out l et
V1
ps i a
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
f t /s
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
0. 50
0. 37 30. 00 0. 56 30. 94
0. 37 30. 00 0. 79 31. 16
0. 37 30. 00 0. 79 31. 16
Vel oci t y@ di schar geel bow
3
S/V Out l etPr essur e," P1a"ati nl ett o di schar gebel ow 3. 1
L
C/Ldi s t anc eofS/V andVe nt
L/D
Di sc hpi peLengt ht odi ar at i o L/D f orwel dneckflange L/D shor tr adi usel bow
30. 00
L/D f or pi pe
1. 50
Tot alLmax/D
32. 00
0. 56 30. 00 1. 50 32. 07
3. 2
f
Dar cyWei sbac hf r i ct i onf act or
0. 013
0. 013
0. 013
0. 013
0. 013
3. 3
k
Speci ficHeatr at i o
1. 30
1. 30 0. 40
1. 30 0. 41
1. 30 0. 41
1. 30 0. 42
1. 65
1. 65
1. 65
1. 65
1. 65
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
3. 4 f ( L/D)
0. 42
3. 5 P/P* Rea df r om CHARTI I 1,ent erwi t hva l ueoff L/D
3. 6 P1a Pr essur eat i nl etofel bow orSRVout l et =P1( P/P* ),Maxpr essuref ortheel bow desi gn
B
For VentPi pe
psi a
A3 Ventpi pear ea
i n2
114. 80
I Di n
354. 60
182. 60
182. 60
50. 00
21. 25
15. 25
15. 25
7. 98
Cal cul ati ons Pr essur e& Vel oci t yf orDi schar geEl bow
A 1
P1
2
Pr essur e@ Di schar geEl bow out l et
V1
ps i a
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
f t /s
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
0. 50
0. 37 30. 00 0. 79 31. 16
0. 37 30. 00 0. 79 31. 16
0. 56 30. 00 1. 50 32. 07
Vel oci t y@ di schar geel bow
3
S/V Out l etPr essur e," P1a"ati nl ett o di schar gebel ow 3. 1
L
C/Ldi s t anc eofS/V andVe nt
L/D
Di sc hpi peLengt ht odi ar at i o L/D f orwel dneckflange L/D f or pi pe
1. 50
Tot alLmax/D
32. 00
0. 37 30. 00 0. 56 30. 94
L/D shor tr adi usel bow
30. 00
3. 2
f
Dar cyWei sbac hf r i ct i onf act or
0. 013
0. 013
0. 013
0. 013
0. 013
3. 3
k
Speci ficHeatr at i o
1. 30
1. 30 0. 40
1. 30 0. 41
1. 30 0. 41
1. 30 0. 42
1. 65
1. 65
1. 65
1. 65
1. 65
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
3. 4 f ( L/D)
0. 42
3. 5 P/P* Rea df r om CHARTI I 1,ent erwi t hva l ueoff L/D
3. 6 P1a Pr essur eat i nl etofel bow orSRVout l et =P1( P/P* ),Maxpr essuref ortheel bow desi gn
B 1
psi a
For VentPi pe P3
Maxi mum wor ki ngPr essur eatVentPi peout l et
269110762.xls
Vent pipe calculation
psi a
Lengt hofpi pe L/D
#VALUE!
i n
#VALUE!
#VALUE!
#VALUE!
#VALUE!
200
200
200
200
Di sc hpi peLengt ht odi ar at i o L/D f orpi pe
19. 85
9. 41
13. 12
13. 12
25. 06
Tot alLmax/D
19. 85
9. 41
13. 12
13. 12
25. 06
0. 013
0. 013
0. 013
0. 013
0. 013
1. 3 0. 26
1. 30 0. 12
1. 30 0. 17
1. 30 0. 17
1. 30 0. 33
1. 506
1. 43
1. 43
1. 44
1. 55
f
Dar cyWei sbac hf r i ct i onf act or
k
Speci ficHeatr at i o
f ( L/D) Tot alLmax/D P/P* P2
Page 2 of 18
Max oper at i ngpr essur earVentpi pe
psi a
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
f ( L/D) Tot alLmax/D
0. 258
0. 122
0. 170
0. 170
0. 326
V/V* Fr om c har tI I-1
0. 712
0. 74
0. 74
0. 73
0. 68
P2=P3(P/P* )
2
Checkf orBl ow backf r om ventpi pe V3
Vel oci t y ate xi tofv entpi pe V3=V1
V2
V3X (V/V* )
Che c ki ngf o ri ne q ua l i t yf r o m pa r aI I 2. 3. 1. 2
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
psi a
Lengt hofpi pe L/D
i n
#VALUE!
#VALUE!
#VALUE!
#VALUE!
200
200
200
200
Di sc hpi peLengt ht odi ar at i o L/D f orpi pe
19. 85
9. 41
13. 12
13. 12
25. 06
Tot alLmax/D
19. 85
9. 41
13. 12
13. 12
25. 06
0. 013
0. 013
0. 013
0. 013
0. 013
1. 3 0. 26
1. 30 0. 12
1. 30 0. 17
1. 30 0. 17
1. 30 0. 33
1. 506
1. 43
1. 43
1. 44
1. 55
f
Dar cyWei sbac hf r i ct i onf act or
k
Speci ficHeatr at i o
f ( L/D) Tot alLmax/D P/P* P2
#VALUE!
Max oper at i ngpr essur earVentpi pe
psi a
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
f ( L/D) Tot alLmax/D
0. 258
0. 122
0. 170
0. 170
0. 326
V/V* Fr om c har tI I-1
0. 712
0. 74
0. 74
0. 73
0. 68
P2=P3(P/P* )
2
Checkf orBl ow backf r om ventpi pe V3
Vel oci t y ate xi tofv entpi pe V3=V1
V2
V3X (V/V* )
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
Che c ki ngf o ri ne q ua l i t yf r o m pa r aI I 2. 3. 1. 2
W X (V1V2)/gc 269110762.xls
#VALUE!
#VALUE!
#VALUE!
Vent pipe calculation
#VALUE!
#VALUE!
Page 3 of 18
( P2Pa)X A2-(P1-Pa)X A1
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
Condi t i on t obes ati sfied
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
Pl easecheckt hef ormul asbel ow t hi sl i nef r om t heASME code.Thi spor t i on i snotcompl et ed.Oncei tcor r ec 3
React i on For ceatDi schargeEl bow exi t _downwar d
F1
4
Reacti on f orceatdi schargeel bow exi t_Downwardf orce
l bf
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
ForcesandMomentatventpi peanchor F2
Onl ystr ai ghtf aceventpi pei sconsi dered F2=W X V2+(P2-Pa)X A2_upwar df or ce gc
l bf
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
F3
F3=W X V3+(P3-Pa)X A3_do wnwar df or ce
l bf
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
gc Ne ti mbal anc eont hev e ntpi pei nupwar ddi r ec t i on
l bf
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
( P2Pa)X A2-(P1-Pa)X A1
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
Condi t i on t obes ati sfied
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
Pl easecheckt hef ormul asbel ow t hi sl i nef r om t heASME code.Thi spor t i on i snotcompl et ed.Oncei tcor r ec 3
React i on For ceatDi schargeEl bow exi t _downwar d
F1
4
Reacti on f orceatdi schargeel bow exi t_Downwardf orce
l bf
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
ForcesandMomentatventpi peanchor F2
Onl ystr ai ghtf aceventpi pei sconsi dered F2=W X V2+(P2-Pa)X A2_upwar df or ce gc
l bf
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
F3
F3=W X V3+(P3-Pa)X A3_do wnwar df or ce
l bf
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
gc Ne ti mbal anc eont hev e ntpi pei nupwar ddi r ec t i on
269110762.xls
l bf
Vent pipe calculation
#VALUE!
#VALUE!
#VALUE!
#VALUE!
#VALUE!
Page 4 of 18
Properties
X Steam Tables Excel macros, !"97 #team ta$les.
%&e excel scripts are store' insi'e t&is (or)$oo). * complete list of functi
/ agnus olmgren
%&e steam ta$les are free an' pro+i'e' as is. e ta)e no responsi$ilities
(((.x"eng.com
# %&is (or)$oo) uses macros. #et securit/ options in %oolsacro#
Saturation properties given temperature %emperature 227.17 #aturation pressure V*E: $ar a Liquid Ent&alp/ V*E: );<)g =ensit/ V*E: )g Vapour Vapour ent&alp/ V*E: );<)g Vapour 'ensit/ V*E: )g E+aporation energ/ V*E: );<)g
Saturation properties given press Pressure 28.060 #aturation temperature V*E: Liquid V*E: Ent&alp/ V*E: =ensit/ V*E: Entrop/ V*E: Vapour Vapour ent&alp/ V*E: Vapour 'ensit/ V*E: +apour Entrop/ V*E: E+aporation energ/ V*E:
Properties given pressure and temperature Pressure "7.## $ar a %emperature 2$0.00 Ent&alp/ V*E: );<)g =ensit/ V*E: )g Vapour fraction V*E: ? !97 @egion V*E: P&ase %V&L'() so$aric &eat capacit/ V*E: );<)g #pee' of soun' V*E: m
!
PPE #CE = %-> = *@E* VE-%G V2<2B
eig&t of particle *rea
Properties given pressure and ent Pressure 12.$7 Ent&alp/ 2788.00 %emperature V*E: =ensit/ V*E: Entrop/ V*E: Vapour fraction V*E: !97 @egion V*E: P&ase %V&L'() so$aric &eat capacit/ V*E: #pee' of soun' V*E:
49A %P 137.A >B<# 3<# 400 D 406 mm 36.A mm 333 mm 0.087092 m2 0 m
m2
A0 gm 0.2 cm2 2A0 gm
Page 7
Properties
ions for use is a+aila$le on t&e -alling functions (or)s&eet for an/ errors in t&e co'e or 'amage t&ere$/. curit/5 to ena$le macros.
re $ar a -
1 )g
);<)g )g
V*E:
);<)g )g );<)g
V*E:
alp! $ar a );<)g )g ?
0.98066A $ar 4.21686 $ar
1A2.96
9299 2221.4A2
221A.719 8790.6
V*E:
P E*%E@ );<)g m
H H
EI%@*-%D P@E##@E #*%. ! D% ! %E% =@*D
2 7.2 >B<-2 ErrA11 69.9 9A.3 99.1
Page 8
%%=
ErrA11 29.20
Properties
1.020408
"37.7
Page 9
X Steam Tables
+2.6
ttp4<<555.=eng.,om Steam tables b! *agnus +olmgren a,,ording to -&PS -/7 %&e excel scripts are store' insi'e t&is (or)$oo). Do extra files are nee'e'. #tart from a cop/ of t&is (or)$oo). %&is page can $e re !or error"reporting, fee'$ac), ot&er units etc. contact magnusLx"eng.com %&e steam ta$les are free an' pro+i'e' as is. e ta)e no responsi$ilities for an/ errors in t&e co'e or 'amage t&ere$/. 3S4 Tis 5orboo uses ma,ros. Set se,urit! options in Tools4*a,ro4Se,urit! to enable ma,ros.
Temperature Tsatp Tp Tps Ts
1 1 1 100
$ar $ar $ar );<)g
100 );<)g 1 );<)g >F 0.2 );<)g >F
%V&L'() %V&L'() %V&L'() %V&L'()
9: 9: 9: 9:
#aturation temperat %emperture as a fun %emperture as a fun %emperture as a fun
0.3 );<)g >F A )g
%V&L'() bar %V&L'() bar %V&L'() bar
#aturation pressure Pressure as a functi Pressure as a functi
20 1 );<)g >F 0.A 0.A 2 )g
%V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'()
;<g ;<g ;<g ;<g ;<g ;<g ;<g ;<g ;<g
#aturate' +apour en #aturate' liKui' ent& #aturate' +apour en #aturate' liKui' ent& Entalp/ as a functio Entalp/ as a functio Entalp/ as a functio Entalp/ as a functio Entalp/ as a functio
100 );<)g A );<)g >F
%V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'()
m"<g m"<g m"<g m"<g m"<g m"<g m"<g
#aturate' +apour +o #aturate' liKui' +olu #aturate' +apour +o #aturate' liKui' +olu #pecific +olume as a #pecific +olume as a #pecific +olume as a
100 );<)g 1 );<)g >F
%V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'()
g
#aturate' +apour 'e #aturate' liKui' 'en #aturate' +apour 'e #aturate' liKui' 'en =ensit/ as a functio =ensit/ as a functio =ensit/ as a functio
20 );<)g
%V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'()
;<>g ;<>g ;<>g ;<>g ;<>g ;<>g
Pressure psatT ps pro
100 84 );<)g );<)g
Enthalpy Vp Lp VT LT pT ps p= T= pro
1 1 100 100 1 1 1 100 1
$ar $ar $ar $ar $ar $ar
1 1 100 100 1 1 1
$ar $ar $ar $ar $ar
1 1 100 100 1 1 1
$ar $ar $ar $ar $ar
0.01 0.01 0 100 1 1
$ar $ar $ar $ar
Specific volume vVp vLp vVT vLT vpT vp vps
Density roVp roLp roVT roLT ropT rop rops
Specific entropy sVp sLp sVT sLT spT sp
?@ ?@ ?@ ?@ ?@ ?@
#aturate' +apour en #aturate' liKui' entr #aturate' +apour en #aturate' liKui' entr #pecific entrop/ as #pecific entrop/ as
Specific internal energy uVp uLp uVT
1 $ar 1 $ar 100 -
%V&L'() ;<g %V&L'() ;<g %V&L'() ;<g
#aturate' +apour int #aturate' liKui' inte #aturate' +apour int
uLT upT up ups
100 1 1 1
$ar $ar $ar
100 );<)g 1 );<)g >F
%V&L'() %V&L'() %V&L'() %V&L'()
;<g ;<g ;<g ;<g
#aturate' liKui' inte #pecific internal ene #pecific internal ene #pecific internal ene
100 200 );<)g 1 );<)g >F
%V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'()
;<>g9:@ ;<>g9:@ ;<>g9:@ ;<>g9:@ ;<>g9:@ ;<>g9:@ ;<>g9:@
#aturate' +apour &e #aturate' liKui' &ea #aturate' +apour &e #aturate' liKui' &ea #pecific iso$aric &ea #pecific iso$aric &ea #pecific iso$aric &ea
100 200 );<)g 1 );<)g >F
%V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'()
;<>g9:@ ;<>g9:@ ;<>g9:@ ;<>g9:@ ;<>g9:@ ;<>g9:@ ;<>g9:@
#aturate' +apour is #aturate' liKui' isoc #aturate' +apour is #aturate' liKui' isoc #pecific isoc&oric &e #pecific isoc&oric &e #pecific isoc&oric &e
100 200 );<)g 1 );<)g >F
%V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'()
m
#aturate' +apour sp #aturate' liKui' spe #aturate' +apour sp #aturate' liKui' spe #pee' of soun' as a #pee' of soun' as a #pee' of soun' as a
Specific isobaric heat capacity :pVp :pLp :pVT :pLT :ppT :pp :pps
1 1 100 100 1 1 1
$ar $ar $ar $ar $ar
Specific isochoric heat capacity :vVp :vLp :vVT :vLT :vpT :vp :vps
1 1 100 100 1 1 1
$ar $ar $ar $ar $ar
1 1 100 100 1 1 1
$ar $ar $ar $ar $ar
Speed of sound 5Vp 5Lp 5VT 5LT 5pT 5p 5ps
Dynamic Viscosity Viscosit/ is not part of *P# #team !97. EKuations from @e+ise' @elease on t&e *P# !ormulation 198A for t&e Viscosit/ of r' Viscosit/ in t&e mixe' region 4F is interpolate' accor'ing to t&e 'ensit/. %&is is not true since it (ill $e t(o fases.
m!pT m!p m!ps
1 $ar 1 $ar 1 $ar
100 100 );<)g 1 );<)g >F
%V&L'() Pa s %V&L'() Pa s %V&L'() Pa s
1 $ar 1 $ar
200 );<)g
%V&L'() %V&L'()
Viscosit/ as a functi Viscosit/ as a functi Viscosit/ as a functi
Prandtl -alcualte' as -pMm/
prpT prp
Thermal Conductivity @e+ise' release on t&e *P# !ormulation 198A for t&e %&ermal -on'ucti+it/ of or'inar/ (ater su$stance *P# 1998F
t,Lp t,Vp t,LT t,VT t,pT t,p t,s
100 1 100 100 100 1 100
$ar $ar $ar 3A0 $ar 3A0 );<)g >F );<)g >F 0.34 );<)g >F
%V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'() %V&L'()
<>m ?@ <>m ?@ <>m ?@ <>m ?@ <>m ?@ <>m ?@ <>m ?@
#aturate' +apour t& #aturate' liKui' t&er #aturate' +apour t& #aturate' liKui' t&er %&ermal con'ucti+it %&ermal con'ucti+it %&ermal con'ucti+it
Surface Tension *P# @elease on #urface %ension of r'inar/ ater #u$stance, #eptem$er 1994
stT stp
100 1 $ar
%V&L'() A
#urface tension for t #urface tension for t
%V&L'()
Vapour fraction as a
Vapour fraction =p
1 $ar
);<)g
=ps
1 $ar
4 );<)g >F
%V&L'()
Vapour fraction as a
Vapour Volume Fraction $ser+e t&at +apour +olume fraction is +er/ sensiti+e. Vapour +olume is a$out 1000 times greater t&an liKui' +olume an' t&erfore +ap gets close to t&e accuranc/ of steam !"97
v=p v=ps
1 $ar 1 $ar
418 );<)g 4 );<)g >F
%V&L'() %V&L'()
Vapour +olume fracti Vapour +olume fracti
Version history Ae5s in V2.6 M Error in +ali' region for function tcNptr&o M Error in function &3Npt for temperatures near t&e saturation point. Ae5s in V2.$ M = 'istru$ution for use in ot&er applications M !ree$asic translation M !ixe' small error in -+ @egion A pO1000$ar Ae5s in V2.#a M %o#nit for &Nps region 4. Do effect in # unit +ersionF. Ae5s in V2.# M !unctions $/ p,r&o inplemente' in matla$ also. M an/ missing in matla$ causing printouts 'etecte'. M penffice +ersion intro'uce'. !ixe' calculation 'ifferences in open office an' excelF M atla$ error gi+ing +arai$le un'efine' in some $ac)(ar's solutions fixe'. Ae5s in V2." M ption Explicit, gi+es more efficient calculations. M Extensi+e testing M m/Np& not 'efine' in region 4. M Pro$lems at region $or'er for &4VNp to a'ress sol+er pro$lems at t&e exact $or'er. M Pro$lem at fast $or'er c&ec) in regionNp& fixe'. Ae5s in V2.2 M Extensi+e testing M !ixe' error in -pNp& M !unction pN&r&o a''e'. Ver/ goo' for calcualting pressure (&en &eating a +olume (it& (ater
o+e'F
re ction of pressure an' ent&alp/ ction of pressure an' entrop/ ction of ent&alp/ an' entrop/
n of & an' s. n of & an' r&o 'ensit/F. Ver/ unaccurate for soli' (ater region since itJs almost incompressi$le:
t&alp/ alp/ t&alp/ alp/ of pressure an' temperature. of pressure an' entrop/. of pressure an' +apour fraction of temperature an' +apour fraction of pressure an' 'ensit/. $ser+e for lo( temperatures liKui'F t&is eKuation &as 2 solutions. Dot +ali
lume me lume me function of pressure an' temperature. function of pressure an' ent&alp/ function of pressure an' entrop/.
nsit/ sit/ nsit/ sit/ of pressure an' temperature. of pressure an' ent&alp/ of pressure an' entrop/.
trop/ op/ trop/ op/ function of pressure an' temperature @eturns saturate' +apour entalp/ if mixture.F function of pressure an' ent&alp/
ernal energ/ nal energ/ ernal energ/
nal energ/ rg/ as a function of pressure an' temperature. rg/ as a function of pressure an' ent&alp/ rg/ as a function of pressure an' entrop/. at capacit/ capacit/ at capacit/ capacit/ t capacit/ as a function of pressure an' temperature. t capacit/ as a function of pressure an' ent&alp/ t capacit/ as a function of pressure an' entrop/. c&oric &eat capacit/ &oric &eat capacit/ c&oric &eat capacit/ &oric &eat capacit/ at capacit/ as a function of pressure an' temperature. at capacit/ as a function of pressure an' ent&alp/ at capacit/ as a function of pressure an' entrop/. ee' of soun' ' of soun' ee' of soun' ' of soun' function of pressure an' temperature. function of pressure an' ent&alp/ function of pressure an' entrop/. inar/ ater #u$stance, 2003 are use'.
n of pressure an' temperature. n of pressure an' ent&alp/ n of pressure an' entrop/.
rmal con'ucti+it/ mal con'ucti+it/ rmal con'ucti+it/ mal con'ucti+it/ as a function of pressure an' temperature. as a function of pressure an' ent&alp/ as a function of ent&alp/ an' entrop/
(o p&ase (ater
function of pressure an' entrop/. our +olume fraction
on as a function of pressure an' ent&alp/ on as a function of pressure an' entrop/.
::F
